From a0f1c69c1a612ab29b2896d398f6baae6ff8a60e Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Sun, 8 Nov 2020 15:39:26 +0100 Subject: [PATCH 01/29] Initial commit for code, docs and unit test --- arbitragelab/__init__.py | 2 + .../ml_based_pairs_selection/__init__.py | 7 + .../ml_based_pairs_selection/data_import.py | 147 + .../pairs_selector.py | 594 ++++ .../stat_arb_utils.py | 120 + arbitragelab/tests/test_data/data.csv | 2466 +++++++++++++++++ arbitragelab/tests/test_pairs_selector.py | 87 + arbitragelab/util/__init__.py | 3 + arbitragelab/util/indexed_highlight.py | 39 + docs/source/index.rst | 9 + .../ml_based_pairs_selection/framework.rst | 164 ++ .../images/3d_cluster_optics_plot.png | Bin 0 -> 136455 bytes .../images/knee_plot.png | Bin 0 -> 9915 bytes .../images/pairs_selection_rules_diagram.png | Bin 0 -> 79054 bytes .../images/prposed_framework_diagram.png | Bin 0 -> 94730 bytes 15 files changed, 3638 insertions(+) create mode 100644 arbitragelab/ml_based_pairs_selection/__init__.py create mode 100644 arbitragelab/ml_based_pairs_selection/data_import.py create mode 100644 arbitragelab/ml_based_pairs_selection/pairs_selector.py create mode 100644 arbitragelab/ml_based_pairs_selection/stat_arb_utils.py create mode 100644 arbitragelab/tests/test_data/data.csv create mode 100644 arbitragelab/tests/test_pairs_selector.py create mode 100644 arbitragelab/util/__init__.py create mode 100644 arbitragelab/util/indexed_highlight.py create mode 100644 docs/source/ml_based_pairs_selection/framework.rst create mode 100644 docs/source/ml_based_pairs_selection/images/3d_cluster_optics_plot.png create mode 100644 docs/source/ml_based_pairs_selection/images/knee_plot.png create mode 100644 docs/source/ml_based_pairs_selection/images/pairs_selection_rules_diagram.png create mode 100644 docs/source/ml_based_pairs_selection/images/prposed_framework_diagram.png diff --git a/arbitragelab/__init__.py b/arbitragelab/__init__.py index e69de29b..120d0156 100644 --- a/arbitragelab/__init__.py +++ b/arbitragelab/__init__.py @@ -0,0 +1,2 @@ +from arbitragelab.ml_based_pairs_selection import pairs_selector +from arbitragelab.ml_based_pairs_selection import data_import diff --git a/arbitragelab/ml_based_pairs_selection/__init__.py b/arbitragelab/ml_based_pairs_selection/__init__.py new file mode 100644 index 00000000..f92870c6 --- /dev/null +++ b/arbitragelab/ml_based_pairs_selection/__init__.py @@ -0,0 +1,7 @@ +""" +This module implements various Statistical Arbitrage strategies (cointegration, distance, time-series approach, etc.) +""" + +from arbitragelab.ml_based_pairs_selection.pairs_selector import PairsSelector + +from arbitragelab.ml_based_pairs_selection.data_import import ImportData diff --git a/arbitragelab/ml_based_pairs_selection/data_import.py b/arbitragelab/ml_based_pairs_selection/data_import.py new file mode 100644 index 00000000..a1689fd2 --- /dev/null +++ b/arbitragelab/ml_based_pairs_selection/data_import.py @@ -0,0 +1,147 @@ +""" +This module is a user data helper wrapping various yahoo finance libraries +""" + +import pandas as pd + +import yfinance as yf +import yahoo_fin.stock_info as ys + + +class ImportData: + """ + Wrapper class that imports data from yfinance and yahoo_fin. + """ + + def __init__(self): + pass + + @staticmethod + def get_sp500_tickers() -> list: + """ + Gets all S&P 500 stock tickers. + + :return tickers: (list) : list of tickers + """ + tickers_sp500 = ys.tickers_sp500() + + return tickers_sp500 + + @staticmethod + def get_dow_tickers() -> list: + """ + Gets all DOW stock tickers. + + :return tickers: (list) : list of tickers + """ + tickers_dow = ys.tickers_dow() + + return tickers_dow + + @staticmethod + def remove_nuns(dataframe: pd.DataFrame, threshold: int = 100) -> pd.DataFrame: + """ + Remove tickers with nuns in value over a threshold. + + Parameters + ---------- + df : pandas dataframe + Price time series dataframe + + threshold: int, OPTIONAL + The number of null values allowed + Default is 100 + + Returns + ------- + df : pandas dataframe + Updated price time series without any nuns + """ + null_sum_each_ticker = dataframe.isnull().sum() + tickers_under_threshold = \ + null_sum_each_ticker[null_sum_each_ticker <= threshold].index + dataframe = dataframe[tickers_under_threshold] + + return dataframe + + @staticmethod + def get_price_data(tickers: list, + start_date: str, + end_date: str, + interval: str = '5m') -> pd.DataFrame: + """ + Get the price data with custom start and end date and interval. + + No Pre and Post market data. + For daily price, only keep the closing price. + + Parameters + ---------- + start_date : str + Download start date string (YYYY-MM-DD) or _datetime. + end_date : str + Download end date string (YYYY-MM-DD) or _datetime. + interval : str, OPTIONAL + Valid intervals: 1m,2m,5m,15m,30m,60m,90m,1h,1d,5d,1wk,1mo,3mo + Intraday data cannot extend last 60 days + Default is '5m' + tickers : str, list + List of tickers to download + + Returns + ------- + price_data : pandas dataframe + The requested price_data + """ + price_data = yf.download(tickers, + start=start_date, end=end_date, + interval=interval, + group_by='column')['Close'] + + return price_data + + @staticmethod + def get_returns_data(price_data: pd.DataFrame) -> pd.DataFrame: + """ + Calculate return data with custom start and end date and interval. + + :param price_data: (pd.DataFrame) : Asset price data + :return returns_df: (pd.DataFrame) : Price Data converted to returns. + """ + returns_data = price_data.pct_change() + returns_data = returns_data.iloc[1:] + + return returns_data + + def get_ticker_sector_info(self, tickers: list, yf_call_chunk: int = 20) -> pd.DataFrame: + """ + This method will loop through all the tickers tagged by sector and generate + pairwise combinations of the assets for each sector. + + :param tickers: (list) : List of asset name pairs + :return augmented_tickers: (pd.DataFrame) : DataFrame with input asset tickers and their respective sector and industry information + """ + + if len(tickers) > yf_call_chunk: + ticker_sector_queue = [] + for i in range(0, len(tickers), yf_call_chunk): + end = i+yf_call_chunk if i <= len(tickers) else len(tickers) + ticker_sector_queue.append( + self.get_ticker_sector_info(tickers[i: end])) + return pd.concat(ticker_sector_queue, axis=0).reset_index(drop=True) + + tckrs = yf.Tickers(' '.join(tickers)) + + tckr_info = [] + + for i, tckr in enumerate(tickers): + try: + ticker_info = tckrs.tickers[i].info + tckr_info.append( + (tckr, ticker_info['industry'], ticker_info['sector'])) + except ValueError: + pass + except RuntimeError: + pass + + return pd.DataFrame(data=tckr_info, columns=['ticker', 'industry', 'sector']) diff --git a/arbitragelab/ml_based_pairs_selection/pairs_selector.py b/arbitragelab/ml_based_pairs_selection/pairs_selector.py new file mode 100644 index 00000000..cdf2ce1a --- /dev/null +++ b/arbitragelab/ml_based_pairs_selection/pairs_selector.py @@ -0,0 +1,594 @@ +""" +This module implements the ML based Pairs Selection Framework described by by Simão Moraes +Sarmento and Nuno Horta in `"A Machine Learning based Pairs Trading Investment Strategy." `__. +""" + +import itertools + +import pandas as pd +import numpy as np + +from sklearn.decomposition import PCA +from sklearn.preprocessing import StandardScaler +from sklearn.manifold import TSNE +from sklearn.cluster import OPTICS, DBSCAN +from sklearn.neighbors import NearestNeighbors + +import matplotlib.pyplot as plt + +from arbitragelab.ml_based_pairs_selection.stat_arb_utils import _outer_cointegration_loop, _outer_ou_loop +from arbitragelab.util.indexed_highlight import IndexedHighlight + + +class PairsSelector: + """ + Implementation of the Proposed Pairs Selection Framework in the following paper. The + method consists of three parts; dimensionality reduction, clustering of features and + finally the selection of pairs with the use of a set of heuristics. + """ + + def __init__(self, universe: pd.DataFrame): + """ + Constructor + + Sets up the price series needed for the next step + + :param universe: (pd.DataFrame): Asset prices universe + """ + + self.prices_df = universe + self.feature_vector = [] + self.cluster_pairs_combinations = [] + self.coint_pass_pairs = [] + self.spreads_df = None + self.hurst_pass_pairs = [] + self.hl_pass_pairs = [] + self.final_pairs = [] + self.clust = None + + def dimensionality_reduction_by_components(self, num_features: int = 10): + """ + Processes and scales the prices universe supplied in the constructor, into returns. Then reduces the resulting + data using pca down to the amount of dimensions needed to be used as a feature vector in the clustering step. + Optimal ranges for the dimensions required in the feature vector should be <15. + + :param num_features: (int): Used to select pca n_components to be used in the feature vector + """ + + if self.prices_df is None: + raise Exception( + "Please input a valid price series before running this method") + + # cleaning + returns_df = (self.prices_df - self.prices_df.shift(1)) + returns_df = returns_df / self.prices_df.shift(1) + returns_df.replace([np.inf, -np.inf], np.nan, inplace=True) + returns_df.ffill(inplace=True) + + # scaling + scaler = StandardScaler() + scaled_returns_df = pd.DataFrame(scaler.fit_transform(returns_df)) + scaled_returns_df.columns = returns_df.columns + scaled_returns_df.set_index(returns_df.index) + scaled_returns_df.dropna(inplace=True) + + # reducing + pca = PCA(n_components=num_features) + pca.fit(scaled_returns_df) + self.feature_vector = pd.DataFrame(pca.components_) + self.feature_vector.columns = returns_df.columns + self.feature_vector = self.feature_vector.T + + def plot_pca_matrix(self): + """ + Plots the feature vector on a scatter matrix. + """ + + feature_vector = self.feature_vector.copy() + + cols = ["Component " + str(i) for i in feature_vector.columns] + feature_vector.columns = cols + + axes = pd.plotting.scatter_matrix( + feature_vector, alpha=0.2, figsize=(15, 15)) + + new_labels = [round(float(i.get_text()), 2) + for i in axes[0, 0].get_yticklabels()] + axes[0, 0].set_yticklabels(new_labels) + + def cluster_using_optics(self, args: dict): + """ + Second step of the framework; Doing Unsupervised Learning on the feature vector supplied from the first step. + The clustering method used is OPTICS, chosen mainly for it being basically parameterless. + + :param args: (dict): Arguments to be passed to the clustering algorithm + """ + + if self.feature_vector is None: + raise Exception("The needed feature vector has not been computed yet", + "Please run dimensionality_reduction() before this method") + + clust = OPTICS(**args) + clust.fit(self.feature_vector) + self.clust = clust + + def cluster_using_dbscan(self, args: dict): + """ + Second step of the framework; Doing Unsupervised Learning on the feature vector supplied from the first step. + The second clustering method used is DBSCAN, for when the user needs a more hands on approach to doing the + clustering step, given the parameter sensitivity of this method. + + :param args: (dict): Arguments to be passed to the clustering algorithm + """ + + if self.feature_vector is None: + raise Exception("The needed feature vector has not been computed yet", + "Please run dimensionality_reduction() before this method") + + clust = DBSCAN(**args) + clust.fit(self.feature_vector) + self.clust = clust + + def plot_clustering_info(self, n_dimensions: int = 2, + method: str = "", figsize=(10, 10)): + """ + Plots the clusters found on a scatter plot. + + :param n_dimensions: (int): Selected dimension to be used in the T-SNE plot + :param method: (str): String to be used as title in the plot + :param figsize: (tuple): Tuple describing the size of the plot + """ + + if self.feature_vector is None: + raise Exception("The needed feature vector has not been computed yet", + "Please run dimensionality_reduction() before this method") + + if self.clust is None: + raise Exception("The needed clusters have not been computed yet", + "Please run cluster() before this method") + + no_of_classes = len(np.unique(self.clust.labels_)) + + fig = plt.figure(1, facecolor='white', figsize=figsize) + + tsne = TSNE(n_components=n_dimensions) + tsne_fv = pd.DataFrame(tsne.fit_transform( + self.feature_vector), index=self.feature_vector.index) + + if n_dimensions == 2: + + ax1 = fig.add_subplot(111) + + ax1.spines['left'].set_position('center') + ax1.spines['left'].set_alpha(0.3) + ax1.spines['bottom'].set_position('center') + ax1.spines['bottom'].set_alpha(0.3) + ax1.spines['right'].set_color('none') + ax1.spines['top'].set_color('none') + + ax1.xaxis.set_ticks_position('bottom') + ax1.yaxis.set_ticks_position('left') + ax1.tick_params(which='major', labelsize=18) + +# cmap = plt.get_cmap('viridis') + #colors = cmap(np.linspace(0, 1, no_of_classes)) + + paths_collection = [] + + # , color in zip(range(0, no_of_classes), colors): + for klass in range(0, no_of_classes): + x_klass = tsne_fv[self.clust.labels_ == klass] + + paths = ax1.plot(x_klass.loc[:, 0], x_klass.loc[:, 1], label=list(x_klass.index), markersize=30, alpha=0.75, + marker='.', linestyle='None') + + paths_collection.append(paths) + + # for i, ticker in enumerate( list(Xk.index) ): + # annot = ax1.annotate(ticker, (x[i], y[i]), alpha=0.9, size=10, color=color) + # annot.set_visible(False) + + IndexedHighlight(np.ravel(paths_collection), + formatter='{label}'.format) + + ax1.plot(tsne_fv.iloc[self.clust.labels_ == -1, 0], + tsne_fv.iloc[self.clust.labels_ == -1, 1], 'k+', alpha=0.1) + + ax1.set_title('Automatic Clustering\n' + method) + + elif n_dimensions == 3: + + ax1 = plt.subplot(111, projection='3d') +# cmap = plt.get_cmap('viridis') + #colors = cmap(np.linspace(0, 1, no_of_classes)) + + paths_collection = [] + + # , color in zip(range(0, no_of_classes), colors): + for klass in range(0, no_of_classes): + x_klass = tsne_fv[self.clust.labels_ == klass] + + paths = ax1.plot(x_klass.loc[:, 0], x_klass.loc[:, 1], x_klass.loc[:, 2], alpha=0.7, + marker='.', linestyle='None', label=list(x_klass.index), markersize=30) + + paths_collection.append(paths) + + IndexedHighlight(np.ravel(paths_collection), + formatter='{label}'.format) + + ax1.plot(tsne_fv.iloc[self.clust.labels_ == -1, 0], + tsne_fv.iloc[self.clust.labels_ == -1, 1], + tsne_fv.iloc[self.clust.labels_ == -1, 2], 'k+', alpha=0.1) + ax1.set_title('Automatic Clustering\n' + method) + + else: + raise Exception("Select a valid dimension!") + + plt.tight_layout() + plt.show() + + def plot_knee_plot(self): + """ + This method will plot the k-distance graph, ordered from the largest to the smallest value. + The values where this plot shows an "elbow" should be a reference to the user of the optimal + ε parameter to be used for the DBSCAN clustering method. + """ + + neigh = NearestNeighbors(n_neighbors=2) + nbrs = neigh.fit(self.feature_vector) + result = nbrs.kneighbors(self.feature_vector) + result[0] = np.sort(result[0], axis=0) + result[0] = result[0][:, 1] + + plt.ylabel('k-distance') + plt.xlabel('# of data rows') + plt.plot(result[0]) + + def _generate_pairwise_combinations(self) -> list: + """ + This method will loop through all generated clusters (except -1) and generate + pairwise combinations of the assets in each cluster. + + :return pair_combinations: (list) : list of asset name pairs + """ + + c_labels = np.unique(self.clust.labels_[self.clust.labels_ != -1]) + + if len(c_labels) == 0: + raise Exception("No clusters have been found") + + pair_combinations = [] + + for labl in c_labels: + cluster_x = self.feature_vector[self.clust.labels_ == labl].index + cluster_x = cluster_x.tolist() + + for combination in list(itertools.combinations(cluster_x, 2)): + pair_combinations.append(combination) + + return pair_combinations + + @staticmethod + def get_pairs_by_sector(sectoral_info: pd.DataFrame) -> list: + """ + This method will loop through all the tickers tagged by sector and generate + pairwise combinations of the assets for each sector. + + :param sectoral_info: (pd.DataFrame) : List of asset name pairs to be analyzed tagged with respective sector + :return pair_combinations: (list) : list of asset name pairs + """ + + pair_combinations = [] + sectors = np.unique(sectoral_info['sector']) + + for sector in sectors: + cluster_x = sectoral_info[sectoral_info['sector'] + == sector]['ticker'].values + if len(cluster_x) > 1: + for combination in list(itertools.combinations(cluster_x, 2)): + pair_combinations.append(combination) + + return pair_combinations + + def _hurst_criterion(self, pairs: pd.DataFrame, + hurst_exp_threshold: int = 0.5) -> tuple: + """ + This method will go through all the pairs given, calculate the needed spread and run + the hurst exponent test against each one. + + :param pairs: (pd.DataFrame) : DataFrame of asset name pairs to be analyzed + :param hurst_exp_threshold: (int) : max hurst threshold value + :return (tuple) : + spreads_df: (pd.DataFrame) : Hedge ratio adjusted spreads DataFrame + hurst_pass_pairs: (pd.DataFrame) : list of pairs that passed the hurst check and their respective hurst value + """ + + hurst_pass_pairs = [] + spreads_lst = [] + spreads_cols = [] + + if len(pairs) != 0: + for idx, frame in pairs.iterrows(): + asset_one = self.prices_df.loc[:, idx[1]].values + asset_two = self.prices_df.loc[:, idx[0]].values + + spread_ts = (asset_one - asset_two * frame['hedge_ratio']) + hurst_exp = self.hurst(spread_ts) + + if hurst_exp < hurst_exp_threshold: + hurst_pass_pairs.append((idx, hurst_exp)) + spreads_lst.append(spread_ts) + spreads_cols.append(str(idx)) + else: + raise Exception("No pairs have been found") + + spreads_df = pd.DataFrame(data=spreads_lst).T + spreads_df.columns = spreads_cols + spreads_df.index = pd.to_datetime(self.prices_df.index) + + hurst_pass_pairs_df = pd.DataFrame(data=hurst_pass_pairs, columns=['pairs', 'hurst_exponent']).set_index('pairs') + hurst_pass_pairs_df.index.name = None + + return spreads_df, hurst_pass_pairs_df + + @staticmethod + def _final_criterions(spreads_df: pd.DataFrame, pairs: list, + min_crossover_threshold_per_year: int = 12) -> tuple: + """ + This method consists of the final two criterions checks in the third stage of the proposed + framework which involves; the calculation and check, of the half life of the given pair spread + and the amount of mean crossovers throughout a set period, in this case in a year. + + :param spreads_df: (pd.DataFrame) : Hedge ratio adjusted spreads DataFrame + :param pairs: (list) : List of asset name pairs to be analyzed + :param min_crossover_threshold_per_year: (int) : minimum amount of mean crossovers per year + :return (tuple) : + hl_pass_pairs: (pd.DataFrame) : DataFrame of pairs that passed the half life test and their values + final_pairs: (pd.DataFrame) : DataFrame of final pairs and their mean crossover counts + """ + + hl_pass_pairs = [] + final_pairs = [] + + if len(pairs) != 0: + ou_results = _outer_ou_loop( + spreads_df, molecule=pairs, test_period='2Y', cross_overs_per_delta=min_crossover_threshold_per_year) + + final_selection = ou_results[ou_results['hl'] > 1] + + final_selection = final_selection[ou_results['hl'] < 365] + + hl_pass_pairs = final_selection + + final_selection = final_selection[ou_results['crossovers']] + + final_pairs = final_selection + + else: + raise Exception("No pairs have been found") + + return hl_pass_pairs, final_pairs + + def unsupervised_candidate_pair_selector( + self, pvalue_threshold: int = 0.01, hurst_exp_threshold: int = 0.5, min_crossover_threshold_per_year: int = 12) -> list: + """ + Third step of the framework; The clusters found in step two are used to generate a list of possible pairwise + combinations. The combinations generated are then checked to see if they comply with the criteria supplied in the + paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves within convenient periods and + finally that the spread reverts to the mean with enough frequency. + + :param pvalue_threshold: (int) : max p-value threshold to be used in the cointegration tests + :param hurst_exp_threshold: (int) : max hurst threshold value + :param min_crossover_threshold_per_year: (int) : minimum amount of mean crossovers per year + :return final_pairs: (list) : tuple list of final pairs + """ + + if self.clust is None: + raise Exception("The needed clusters have not been computed yet", + "Please run cluster() before this method") + + # Generate needed pairwise combinations and remove unneccessary + # duplicates. + + cluster_x_cointegration_combinations = self._generate_pairwise_combinations() + self.cluster_pairs_combinations = cluster_x_cointegration_combinations + + return self._criterion_selection(cluster_x_cointegration_combinations, pvalue_threshold, hurst_exp_threshold, min_crossover_threshold_per_year) + + def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalue_threshold: int = 0.01, + hurst_exp_threshold: int = 0.5, min_crossover_threshold_per_year: int = 12) -> list: + """ + Third step of the framework; The clusters found in step two are used to generate a list of possible pairwise + combinations. The combinations generated are then checked to see if they comply with the criteria supplied in the + paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves within convenient periods and + finally that the spread reverts to the mean with enough frequency. + + :param cluster_x_cointegration_combinations: (list) : list of asset pairs + :param pvalue_threshold: (int) : max p-value threshold to be used in the cointegration tests + :param hurst_exp_threshold: (int) : max hurst threshold value + :param min_crossover_threshold_per_year: (int) : minimum amount of mean crossovers per year + :return final_pairs: (list) : tuple list of final pairs + """ + + # Selection Criterion One: First, it is imposed that pairs are + # cointegrated, using a p-value of 1%. + + cointegration_results = _outer_cointegration_loop( + self.prices_df, cluster_x_cointegration_combinations) + + passing_pairs = cointegration_results.loc[cointegration_results['pvalue'] + <= pvalue_threshold] + + self.coint_pass_pairs = passing_pairs + + # Selection Criterion Two: Then, the spread’s Hurst exponent, + # represented by H should be smaller than 0.5. + + spreads_df, hurst_pass_pairs = self._hurst_criterion( + passing_pairs, hurst_exp_threshold) + + self.spreads_df = spreads_df + + self.hurst_pass_pairs = hurst_pass_pairs + + # Selection Criterion Three & Four: Additionally, the half-life period, represented by hl, should + # lay between one day and one year. Finally, it is imposed that the spread crosses a mean at least + # 12 times per year. + + hl_pass_pairs, final_pairs = self._final_criterions( + spreads_df, hurst_pass_pairs.index.values, min_crossover_threshold_per_year) + + self.hl_pass_pairs = hl_pass_pairs + + self.final_pairs = final_pairs + + return final_pairs.index.values + + def manual_candidate_pair_selector(self, pair_combinations: list, pvalue_threshold: int = 0.01, + hurst_exp_threshold: int = 0.5, min_crossover_threshold_per_year: int = 12) -> list: + """ + The combinations given are checked to see if they comply with the criteria supplied in the + paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves within convenient periods and + finally that the spread reverts to the mean with enough frequency. + + :param pair_combinations: (list) : list of asset pairs + :param pvalue_threshold: (int) : max p-value threshold to be used in the cointegration tests + :param hurst_exp_threshold: (int) : max hurst threshold value + :param min_crossover_threshold_per_year: (int) : minimum amount of mean crossovers per year + :return final_pairs: (list) : tuple list of final pairs + """ + + return self._criterion_selection(pair_combinations, pvalue_threshold, hurst_exp_threshold, min_crossover_threshold_per_year) + + def plot_selected_pairs(self): + """ + Plots the final selection of pairs. + """ + + if self.final_pairs is None: + raise Exception("The needed pairs have not been computed yet", + "Please run criterion_selector() before this method") + + if len(self.final_pairs) == 0: + raise Exception("No valid pairs have been found!") + + _, axs = plt.subplots(len(self.final_pairs), + figsize=(15, 3 * len(self.final_pairs))) + + for i, frame in enumerate(self.final_pairs.index.values): + rets_asset_one = np.log(self.prices_df.loc[:, frame[0]]).diff() + rets_asset_two = np.log(self.prices_df.loc[:, frame[1]]).diff() + + axs[i].plot(rets_asset_one.cumsum()) + axs[i].plot(rets_asset_two.cumsum()) + axs[i].legend([frame[0], frame[1]]) + + def describe(self) -> pd.DataFrame: + """ + Returns the Pairs Selector Summary statistics. + The following statistics are included - the number of clusters, total possible pair combinations, + the number of pairs that passed the cointegration threshold, the number of pairs that passed the + hurst exponent threshold, the number of pairs that passed the half life threshold and the number + of final set of pairs. + + :return: (pd.DataFrame) Dataframe of summary statistics. + """ + + no_clusters = len(list(set(self.clust.labels_))) - 1 + no_paircomb = len(self.cluster_pairs_combinations) + no_hurstpair = len(self.hurst_pass_pairs) + no_hlpair = len(self.hl_pass_pairs) + + info = [] + + info.append(("No. of Clusters", no_clusters)) + info.append(("Total Pair Combinations", no_paircomb)) + info.append(("Pairs passing Coint Test", len(self.coint_pass_pairs))) + info.append(("Pairs passing Hurst threshold", no_hurstpair)) + info.append(("Pairs passing Half Life threshold", no_hlpair)) + info.append(("Final Set of Pairs", len(self.final_pairs))) + return pd.DataFrame(info) + + def describe_extra(self) -> pd.DataFrame: + """ + Returns information on each pair selected. + The following statistics are included - both legs of the pair, cointegration (t-value, p-value, hedge_ratio), + hurst_exponent, half_life, no_mean_crossovers. + + :return: (pd.DataFrame) Dataframe of pair statistics. + """ + + return pd.concat([self.coint_pass_pairs, + self.hurst_pass_pairs, + self.hl_pass_pairs + ], axis=1) \ + .dropna() \ + .reset_index() \ + .rename(columns={ + 'level_0': 'leg_1', + 'level_1': 'leg_2', + 'hl': 'half_life'}) \ + .drop(['constant'], axis=1) \ + + + @staticmethod + def _convert_to_tuple(arr: np.array) -> tuple: + """ + Returns a list converted to a tuple. + + :param arr: (np.array) Input array to be converted. + :return: (tuple) List converted to tuple. + """ + return tuple(i for i in arr) + + def describe_pairs_sectoral_info( + self, leg_1: str, leg_2: str, sectoral_info_df: pd.DataFrame) -> pd.DataFrame: + """ + Returns information on each pair selected. + The following statistics are included - both legs of the pair, cointegration (t-value, p-value, hedge_ratio), + hurst_exponent, half_life, no_mean_crossovers. + + :param leg_1: (str) Symbol of the first asset. + :param leg_2: (str) Symbol of the second asset. + :param sectoral_info_df: (pd.DataFrame) DataFrame with two columns (ticker, sector) to be used in the output. + :return: (pd.DataFrame) Dataframe of pair sectoral statistics. + """ + + leg_1_info = [] + leg_2_info = [] + + for tck in leg_1: + if sectoral_info_df[sectoral_info_df['ticker'] == tck].empty: + leg_1_info.append(('', '', '')) + else: + leg_1_info.append( + self._convert_to_tuple(sectoral_info_df[sectoral_info_df['ticker'] == tck].values[0])) + + for tck in leg_2: + if sectoral_info_df[sectoral_info_df['ticker'] == tck].empty: + leg_2_info.append(('', '', '')) + else: + leg_2_info.append( + self._convert_to_tuple(sectoral_info_df[sectoral_info_df['ticker'] == tck].values[0])) + + info_df = pd.concat( + [pd.DataFrame(leg_1_info), pd.DataFrame(leg_2_info)], axis=1) + info_df.columns = ['Leg 1 Ticker', 'Industry', + 'Sector', 'Leg 2 Ticker', 'Industry', 'Sector'] + + return info_df + + @staticmethod + def hurst(data: pd.DataFrame, max_lags: int = 100) -> int: + """ + Hurst Exponent Calculation + + :param data: (pd.DataFrame) Time Series that is going to be analyzed. + :param max_lags: (int) Maximum amount of lags to be used calculating tau. + :return: (int) hurst exponent. + """ + lags = range(2, max_lags) + tau = [np.sqrt(np.std(np.subtract(data[lag:], data[:-lag]))) + for lag in lags] + poly = np.polyfit(np.log(lags), np.log(tau), 1) + return poly[0] * 2.0 diff --git a/arbitragelab/ml_based_pairs_selection/stat_arb_utils.py b/arbitragelab/ml_based_pairs_selection/stat_arb_utils.py new file mode 100644 index 00000000..3fae284f --- /dev/null +++ b/arbitragelab/ml_based_pairs_selection/stat_arb_utils.py @@ -0,0 +1,120 @@ +""" +This module houses utility functions used by the PairsSelector +""" + +import pandas as pd +import numpy as np + +import statsmodels.api as sm +from statsmodels.tsa.adfvalues import mackinnonp +from statsmodels.tsa.stattools import adfuller +from scipy.odr import ODR, Model, RealData + +def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, cross_overs_per_delta: int, molecule: list) -> pd.DataFrame: + """ + This function gets mean reversion calculations (half life and number of mean cross overs) for each pair in the molecule. + Uses the linear regression method to get the half life, which is much lighter computationally wise compared to the version + using the OrnsteinUhlenbeck class. + + :param spreads_df: (pd.DataFrame) Spreads Universe + :param test_period: (str) Time delta format, to be used as the time period where the mean crossovers will be calculated + :param cross_overs_per_delta: (int) Crossovers per time delta selected + :param molecule: (list) Indices of pairs + :return: (pd.DataFrame) Mean Reversion statistics + """ + + ou_results = [] + + for pair in molecule: + + spread = spreads_df.loc[:, str(pair)] + + if len(spread.shape) > 1: + spread = pd.Series(np.squeeze(spread.values)) + + lagged_spread = spread.shift(1).dropna(0) + lagged_spread_c = sm.add_constant(lagged_spread) + + delta_y_t = np.diff(spread) + + model = sm.OLS(delta_y_t, lagged_spread_c) + res = model.fit() + + # Note that when mean reversion is expected, λ / SE has a negative value. + # res.params[0] / res.bse[0] + + # This result implies that the expected duration of mean reversion λ is + # inversely proportional to the absolute value of λ + + # h = np.log(2) / abs(res.params[0]) + + # split the spread in two; the train_df is going to be used to get the long term mean + # and test_df is going to be used to get the number of mean cross overs + + test_df = spread.last(test_period) + + train_df = spread.iloc[: -len(test_df)] + + long_term_mean = np.mean(train_df) + + centered_series = test_df - long_term_mean + + cross_over_indices = np.where(np.diff(np.sign(centered_series)))[0] + + cross_overs_dates = spreads_df.index[cross_over_indices] + + cross_overs_counts = cross_overs_dates.to_frame().resample('Y').count() + + cross_overs_counts.columns = ['counts'] + + if cross_overs_counts.empty: + cross_overs = False + else: + cross_overs = len(cross_overs_counts[cross_overs_counts['counts'] > cross_overs_per_delta]) > 0 + + ou_results.append([np.log(2) / abs(res.params[0]), cross_overs]) + + return pd.DataFrame(ou_results, index=molecule, columns=['hl', 'crossovers']) + +def linear_f(beta, x_variable): + """ + This is the helper linear model that is going to be used in the Orthogonal Regression. + + :param beta: (np.array) Model beta coefficient + :param x_variable: (np.array) Model X vector + :return: (np.array) + """ + return beta[0]*x_variable + beta[1] + +def _outer_cointegration_loop(prices_df: pd.DataFrame, molecule: list) -> pd.DataFrame: + """ + This function calculates the Engle-Granger test for each pair in the molecule. Uses the Total + Least Squares approach to take into consideration the variance of both price series. + + :param prices_df: (pd.DataFrame) Price Universe + :param molecule: (list) Indices of pairs + :return: (pd.DataFrame) Cointegration statistics + """ + + cointegration_results = [] + + for pair in molecule: + maxlag = None + autolag = "aic" + trend = "c" + + linear = Model(linear_f) + mydata = RealData(prices_df.loc[:, pair[0]], prices_df.loc[:, pair[1]]) + myodr = ODR(mydata, linear, beta0=[1., 2.]) + res_co = myodr.run() + + res_adf = adfuller( + res_co.delta - res_co.eps, maxlag=maxlag, autolag=autolag, regression="nc" + ) + + pval_asy = mackinnonp(res_adf[0], regression=trend) + + cointegration_results.append( + (res_adf[0], pval_asy, res_co.beta[0], res_co.beta[1])) + + return pd.DataFrame(cointegration_results, index=molecule, columns=['coint_t', 'pvalue', 'hedge_ratio', 'constant']) diff --git a/arbitragelab/tests/test_data/data.csv b/arbitragelab/tests/test_data/data.csv new 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+2020-10-08,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, diff --git a/arbitragelab/tests/test_pairs_selector.py b/arbitragelab/tests/test_pairs_selector.py new file mode 100644 index 00000000..e7745b3a --- /dev/null +++ b/arbitragelab/tests/test_pairs_selector.py @@ -0,0 +1,87 @@ +# Copyright 2019, Hudson and Thames Quantitative Research +# All rights reserved +# Read more: https://github.com/hudson-and-thames/arbitragelab/blob/master/LICENSE.txt +""" +Tests function of ML Pairs Selection module: +ml_based_pairs_selection/pairs_selector.py +""" +import os +import unittest +import pandas as pd +import numpy as np +from arbitragelab.ml_based_pairs_selection import PairsSelector + +class TestPairsSelector(unittest.TestCase): + """ + Tests Pairs Selector class. + """ + + def setUp(self): + """ + Loads price universe and instantiates the pairs selection class. + """ + np.random.seed(0) + + project_path = os.path.dirname(__file__) + data_path = project_path + '/test_data/data.csv' + self.data = pd.read_csv(data_path, parse_dates=True, index_col="Date").dropna() + self.pair_selector = PairsSelector(self.data) + + def test_dimensionality_reduction(self): + """ + Runs pca on price universe and verifies std dev for all components. + """ + self.pair_selector.dimensionality_reduction_by_components(5) + + expected_stds = pd.Series([0.008302, 0.045064, 0.045148, 0.045169, 0.045146]) + actual_stds = self.pair_selector.feature_vector.std() + pd.testing.assert_series_equal(expected_stds, actual_stds, check_less_precise=True) + + def test_clustering(self): + """ + Verifies generated clusters from both techniques in the PairsSelector class. + """ + self.pair_selector.dimensionality_reduction_by_components(5) + self.pair_selector.cluster_using_optics({'min_samples': 3}) + self.assertEqual(len(np.unique(self.pair_selector.clust.labels_)), 47) + self.pair_selector.cluster_using_dbscan({'eps': 0.03, 'min_samples': 3}) + self.assertEqual(len(np.unique(self.pair_selector.clust.labels_)), 11) + + def test_hurst_criterion(self): + """ + Verifies private hurst processing method. + """ + self.pair_selector.dimensionality_reduction_by_components(5) + self.pair_selector.cluster_using_optics({'min_samples': 3}) + hedge_ratios = [0.832406370860649, 0.892407527838706] + idx = [('AJG', 'ICE'), ('AJG', 'MMC')] + input_pairs = pd.DataFrame(data=hedge_ratios, columns=['hedge_ratio'], index=idx) + result = self.pair_selector._hurst_criterion(input_pairs) + pd.testing.assert_series_equal(pd.Series(idx), pd.Series(result[1].index)) + + def test_final_criterions(self): + """ + Verifies private final criterions processing method. + """ + self.pair_selector.dimensionality_reduction_by_components(5) + self.pair_selector.cluster_using_optics({'min_samples': 3}) + hedge_ratios = [0.832406370860649, 0.892407527838706] + idx = [('AJG', 'ICE'), ('AJG', 'MMC')] + input_pairs = pd.DataFrame(data=hedge_ratios, columns=['hedge_ratio'], index=idx) + spreads_df, hurst_pass_pairs = self.pair_selector._hurst_criterion(input_pairs) + hl_pairs, final_pairs = self.pair_selector._final_criterions(spreads_df, hurst_pass_pairs.index.values) + pd.testing.assert_series_equal(pd.Series(idx), pd.Series(hl_pairs.index)) + pd.testing.assert_series_equal(pd.Series(idx), pd.Series(final_pairs.index)) + + def test_criterion_selector(self): + """ + Verifies final user exposed criterion selection method. + """ + self.pair_selector.dimensionality_reduction_by_components(5) + self.pair_selector.cluster_using_optics({'min_samples': 3}) + final_pairs = [('AJG', 'ICE'), ('AJG', 'MMC')] + coint_pairs = [('MAA', 'UDR'), ('ATO', 'XEL'), ('CCL', 'MAR')] + input_pairs = final_pairs + coint_pairs + result = self.pair_selector._criterion_selection(input_pairs) + pd.testing.assert_series_equal(pd.Series(final_pairs), pd.Series(self.ps.coint_pass_pairs.index)) + pd.testing.assert_series_equal(pd.Series(final_pairs), pd.Series(result)) diff --git a/arbitragelab/util/__init__.py b/arbitragelab/util/__init__.py new file mode 100644 index 00000000..b28b04f6 --- /dev/null +++ b/arbitragelab/util/__init__.py @@ -0,0 +1,3 @@ + + + diff --git a/arbitragelab/util/indexed_highlight.py b/arbitragelab/util/indexed_highlight.py new file mode 100644 index 00000000..b6884513 --- /dev/null +++ b/arbitragelab/util/indexed_highlight.py @@ -0,0 +1,39 @@ +""" +This module houses the extension HighlightingDataCursor class to support cluster by cluster highlighting. +""" + +import matplotlib.pyplot as plt +from mpldatacursor import DataCursor, HighlightingDataCursor + +class IndexedHighlight(HighlightingDataCursor): + """ + This class extends HighlightingDataCursor to add support for + highlighting of cluster groups. + """ + + def __init__(self, axes, **kwargs): + """ + Initializes the highlighting object for each AxesSubplot in a plot. + """ + artists = axes + + kwargs['display'] = 'single' + HighlightingDataCursor.__init__(self, artists, **kwargs) + self.highlights = [self.create_highlight(artist) for artist in artists] + plt.setp(self.highlights, visible=False) + + def update(self, event, annotation): + """ + On each update event, this method will loop through all SubPlot objects + and the group of points corresponding to the current selected object + will be highlighted. + """ + + # Hide all other annotations + plt.setp(self.highlights, visible=False) + + for i, artst in enumerate(self.artists): + if event.artist is artst: + self.highlights[i].set(visible=True) + + DataCursor.update(self, event, annotation) diff --git a/docs/source/index.rst b/docs/source/index.rst index 4e76431b..20faa6fa 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -100,6 +100,15 @@ This project is licensed under an all rights reserved licence. getting_started/researcher getting_started/research_tools + +.. toctree:: + :maxdepth: 2 + :caption: ML Based Pairs Selection + :hidden: + + ml_based_pairs_selection/framework + + .. toctree:: :maxdepth: 2 :caption: Additional Information diff --git a/docs/source/ml_based_pairs_selection/framework.rst b/docs/source/ml_based_pairs_selection/framework.rst new file mode 100644 index 00000000..f94a72d2 --- /dev/null +++ b/docs/source/ml_based_pairs_selection/framework.rst @@ -0,0 +1,164 @@ +.. _ml_based_pairs_selection-framework: + +.. note:: + The following documentation closely follows a book by Simão Moraes Sarmento and Nuno Horta: + `A Machine Learning based Pairs Trading Investment Strategy `__. + +======================== +ML Based Pairs Selection +======================== + +The success of a Pairs Trading strategy highly depends on finding the right pairs. But with the increasing availability of data, more traders manage to spot interesting pairs and quickly profit from the correction of price discrepancies, leaving no margin for the latecomers. On the one hand, if the investor limits its search to securities within the same sector, as commonly executed, he is less likely to find pairs not yet being traded in large volumes. If on the other hand, the investor does not impose any limitation on the search space, he might have to explore an excessive number of combinations and is more likely to find spurious relations. + +To solve this issue, this work proposes the application of Unsupervised Learning to define the search space. It intends to group relevant securities (not necessarily from the same sector) in clusters, and detect rewarding pairs within them, that would otherwise be harder to identify, even for the experienced investor. + +Proposed Pairs Selection Framework +################################## + +.. figure:: images/prposed_framework_diagram.png + :scale: 80 % + :align: center + + Framework diagram from `A Machine Learning based Pairs Trading Investment Strategy `__. + by Simão Moraes Sarmento and Nuno Horta. + +Dimensionality Reduction +************************ +The main objectives in this step are; + +- Extracting common underlying risk factors from securities returns +- Producing a compact representation for each security (stored in the variable 'feature_vector') + +In this step the number of features, k, needs to be defined. A usual procedure consists in analyzing the proportion of the total variance explained by each principal component, and then use the number of components that explain a fixed percentage, as in `Avellaneda M, Lee JH (2010) `__. However, given that in this framework an Unsupervised Learning Algorithm is applied, the approach adopted took the data dimensionality problem as a major consideration. High data dimensionality presents a dual problem. + +- The first being that in the presence of more attributes, the likelihood of finding irrelevant features increases. +- The second is the problem of the curse of dimensionality. + +This term is introduced by `Bellman (1966) `__ to describe the problem caused by the exponential increase in volume associated with adding extra dimensions to Euclidean space. This has a tremendous impact when measuring the distance between apparently similar data points that suddenly become all very distant from each other. Consequently, the clustering procedure becomes very ineffective. + +According to `Berkhin (2006) `__, the effect starts to be severe for dimensions greater than 15. Taking this into consideration, the number of PCA dimensions is upper bounded at this value and is chosen empirically. + +Implementation +============== + +.. py:currentmodule:: mlfinlab.statistical_arbitrage.pairs_selector.PairsSelector + +.. autofunction:: dimensionality_reduction_by_components +.. autofunction:: plot_pca_matrix + +Unsupervised Learning +********************* +The main objective in this step is; + +- To identify the optimal cluster structure from the compact representation previously generated, prioritizing the following constraints; + + - No need to specify the number of clusters in advance + - No need to group all securities + - No assumptions regarding the clusters’ shape. + +The first method is to use the OPTICS clustering algorithm and letting the built in automatic procedure to select the most suitable :math:`\epsilon` for each cluster. + +The second method is to use the DBSCAN clustering algorithm. This is to be used when the user has domain specific knowledge that can enhance the results given the algorithm's parameter sensitivity. A possible approach to finding :math:`\epsilon` described in `Rahmah N, Sitanggang S (2016) `__ is to inspect the knee plot and fix a suitable :math:`\epsilon` by observing the global curve turning point. + +.. figure:: images/knee_plot.png + :scale: 80 % + :align: center + + An example plot of the k-distance 'knee' graph + + +.. figure:: images/3d_cluster_optics_plot.png + :scale: 80 % + :align: center + + 3D plot of the clustering result using the OPTICS method. + +Implementation +============== + +.. autofunction:: cluster_using_optics +.. autofunction:: cluster_using_dbscan +.. autofunction:: plot_clustering_info +.. autofunction:: plot_knee_plot + +Select Pairs +************ + +.. figure:: images/pairs_selection_rules_diagram.png + :scale: 80 % + :align: center + + The rules selection flow diagram from `A Machine Learning based Pairs Trading Investment Strategy `__. + by Simão Moraes Sarmento and Nuno Horta. + +The rules that each pair needs to pass are; + +- The pair’s constituents are cointegrated. Literature suggest cointegration performs better than minumum distance and correlation approaches +- The pair’s spread Hurst exponent reveals a mean-reverting character. Extra layer of validation. +- The pair’s spread diverges and converges within convenient periods. +- The pair’s spread reverts to the mean with enough frequency. + +To test for cointegration, the framework proposes the application of the Engle-Granger test, due to its simplicity. One critic `Armstrong (2001) `__ points at the Engle-Granger test sensitivity to the ordering of variables. It is a possibility that one of the relationships will be cointegrated, while the other will not. This is troublesome because we would expect that if the variables are truly cointegrated the two equations will yield the same conclusion. To mitigate this issue, the original paper proposes that the Engle-Granger test is run for the two possible selections of the dependent variable and that the combination that generated the lowest t-statistic is selected. Further work in `Hoel (2013) `__ adds on, "the unsymmetrical coefficients imply that a hedge of long / short is not the opposite of long / short , i.e. the hedge ratios are inconsistent". A better solution is proposed and implemented, based on `Gregory et al. (2011) `__ to use orthogonal regression – also referred to as Total Least Squares (TLS) – in which the residuals of both dependent and independent variables are taken into account. That way, we incorporate the volatility of both legs of the spread when estimating the relationship so that hedge ratios are consistent, and thus the cointegration estimates will be unaffected by the ordering of variables. + +Secondly, an additional validation step is also implemented to provide more confidence in the mean-reversion character of the pairs’ spread. The condition imposed is that the Hurst exponent associated with the spread of a given pair is enforced to be smaller than 0.5, assuring the process leans towards mean-reversion. + +In third place, the pair's spread movement is constrained using the half life of the mean reverting process. In the framework paper the strategy built on top of the selection framework is based on the medium term price movements, so for this reason the spreads that either have very short (< 1 day) or very long mean-reversion (> 365 days) periods were not suitable. + +Lastly, we enforce that every spread crosses its mean at least once per month, to provide enough liquidity and thus providing enough opportunities to exit a position. + +Implementation +============== + +.. autofunction:: get_pairs_by_sector +.. autofunction:: unsupervised_candidate_pair_selector +.. autofunction:: manual_candidate_pair_selector +.. autofunction:: plot_selected_pairs + +Following methods describe the results of the selector in various ways. + +.. autofunction:: describe +.. autofunction:: describe_extra +.. autofunction:: describe_pairs_sectoral_info + + +Examples +******** + +.. code-block:: + + # Importing packages + import pandas as pd + import numpy as np + from mlfinlab.statistical_arbitrage.pairs_selector import PairsSelector + + # Getting the dataframe with time series of asset returns + data = pd.read_csv('X_FILE_PATH.csv', index_col=0, parse_dates = [0]) + + ps = PairsSelector(data) + + # Price data is reduced to it's component features using PCA + ps.dimensionality_reduction_by_components(5) + + # Clustering is performed over feature vector + ps.cluster_using_optics({'min_samples': 3}) + + # Generated Pairs are processed through the rules mentioned above + ps.unsupervised_candidate_pair_selector() + + # Generate a Panel of information of the selected pairs + final_pairs_info = ps.describe_extra() + + # Import the ticker sector info csv + sectoral_info = pd.read_csv('X_FILE_PATH.csv') + + # Generate a sector/industry relationship Panel of each pair + ps.describe_pairs_sectoral_info(final_pairs_info['leg_1'], final_pairs_info['leg_2'], sectoral_info) + +Research Notebooks +################## + +The following research notebook can be used to better understand the Pairs Selection framework described above. + +* `ML based Pairs Selection`_ + +.. _`ML based Pairs Selection`: https://github.com/hudson-and-thames/research/blob/ml_based_pairs_selection/Statistical%20Arbitrage/ml_based_pairs_selection.ipynb diff --git a/docs/source/ml_based_pairs_selection/images/3d_cluster_optics_plot.png b/docs/source/ml_based_pairs_selection/images/3d_cluster_optics_plot.png new file mode 100644 index 0000000000000000000000000000000000000000..99d9f38566487e7f78f5645c6aba195a9e5169e6 GIT binary patch literal 136455 zcmeFY_g7P4(>4l72|bCFPy`ZsFCtxf3j$Jltz9>UiF@`00!iusXxJVi->xH2>^BsYgFj7ZP)r3YWJ+;Xr1%kn`Z<2RA{LiLq zUk2nU2JhW9&i}P&y>v?SbkyLuR_@`|{P9wtbOP`b%b=kQF(9TR{GX3P704qa)vtwj zYe!7}*JWjh7>Ex(9aae9BZ><}{NEpAW5C5H8@n@j!T)s?_#=E;{Qv*Y|KCcXi2v_+ z$Pbm}q>%HHyccJ`eh=J#VYK*f@ihAFpP9}}AODlaSHjMDUYf7B(rk|AMqilJwEfn} zQ4Idz|0PE0+}`~C)3UY|`dZM%hSJ5a`@eU6J1sBwW0bOgdV70kUya-@`1keaAequ1 z760#)wy-n*lWsCLKjjyfhp&cQZU4>ppFZu`vN@IWzu2-By&rNmiT+kA&3_#+1`fpO 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z9(IX8%b8(rXuizIw=To-pFBniZ#u6auZGd&jAHF@j+oSt4}zP?4I^!GNiRr8H!-9< z8>J4elRm3H=XmWf>Boh(RT)95?RmW+2lp8A2XN-qdBHOir~G*LOBKrsJVQs6S>^Yo zb;^f5-Yt4YU0Uk}WjSTDiIDLGX^MyEW0{Ncu}xNq=?o-B%=||!h2nM}-vhSR^YEP) zqZRpUe2ZDMb=jAm-(-dcFN=~SQRu)CLC1Fa!2ia3a@MX*(m~Zj8#4zYxv%WNcRRXm z)vRUjimIHZ=EJbwo7_#@wYBx}Colg`Se_zb^5PPZPWkiaN!T=sehpdkPqy(751r4- z$h?$pCavyOTUXZsw{XNP$(?`ZJ|A*#A+M3r18(z@UGb~wFr1=Vto-@q^Am~B=AQrO zuJG|>&*ca|19%<({)eIfl>W~I^8fvV|Fr%8?^pc)|G~ds6{1Jg;f<~00{ra`_s&gi Q!oSYRsmQ*RHt_m?06JsdVE_OC literal 0 HcmV?d00001 From 294cde6217b6222e0f8377a886bd5ebcc2b8eb14 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Tue, 10 Nov 2020 10:49:42 +0100 Subject: [PATCH 02/29] Got everything up to coverage; with some exclusions like plotting relating methods --- arbitragelab/__init__.py | 7 +- .../ml_based_pairs_selection/__init__.py | 4 +- .../{data_import.py => data_importer.py} | 58 +++----- .../pairs_selector.py | 105 ++++++-------- .../stat_arb_utils.py | 12 +- arbitragelab/tests/test_data_importer.py | 71 ++++++++++ arbitragelab/tests/test_pairs_selector.py | 133 +++++++++++++++--- arbitragelab/util/__init__.py | 6 +- arbitragelab/util/indexed_highlight.py | 2 +- requirements.txt | 8 +- 10 files changed, 265 insertions(+), 141 deletions(-) rename arbitragelab/ml_based_pairs_selection/{data_import.py => data_importer.py} (70%) create mode 100644 arbitragelab/tests/test_data_importer.py diff --git a/arbitragelab/__init__.py b/arbitragelab/__init__.py index 120d0156..b20c2203 100644 --- a/arbitragelab/__init__.py +++ b/arbitragelab/__init__.py @@ -1,2 +1,7 @@ +""" +ArbitrageLab helps portfolio managers and traders who want to leverage the power of statistical arbitrage by providing +reproducible, interpretable, and easy to use tools. +""" + from arbitragelab.ml_based_pairs_selection import pairs_selector -from arbitragelab.ml_based_pairs_selection import data_import +from arbitragelab.ml_based_pairs_selection import data_importer diff --git a/arbitragelab/ml_based_pairs_selection/__init__.py b/arbitragelab/ml_based_pairs_selection/__init__.py index f92870c6..9fcf14a7 100644 --- a/arbitragelab/ml_based_pairs_selection/__init__.py +++ b/arbitragelab/ml_based_pairs_selection/__init__.py @@ -1,7 +1,7 @@ """ -This module implements various Statistical Arbitrage strategies (cointegration, distance, time-series approach, etc.) +This module implements the ML Based Pairs Selection Technique """ from arbitragelab.ml_based_pairs_selection.pairs_selector import PairsSelector -from arbitragelab.ml_based_pairs_selection.data_import import ImportData +from arbitragelab.ml_based_pairs_selection.data_importer import DataImporter diff --git a/arbitragelab/ml_based_pairs_selection/data_import.py b/arbitragelab/ml_based_pairs_selection/data_importer.py similarity index 70% rename from arbitragelab/ml_based_pairs_selection/data_import.py rename to arbitragelab/ml_based_pairs_selection/data_importer.py index a1689fd2..537cd840 100644 --- a/arbitragelab/ml_based_pairs_selection/data_import.py +++ b/arbitragelab/ml_based_pairs_selection/data_importer.py @@ -8,14 +8,11 @@ import yahoo_fin.stock_info as ys -class ImportData: +class DataImporter: """ Wrapper class that imports data from yfinance and yahoo_fin. """ - def __init__(self): - pass - @staticmethod def get_sp500_tickers() -> list: """ @@ -41,21 +38,11 @@ def get_dow_tickers() -> list: @staticmethod def remove_nuns(dataframe: pd.DataFrame, threshold: int = 100) -> pd.DataFrame: """ - Remove tickers with nuns in value over a threshold. - - Parameters - ---------- - df : pandas dataframe - Price time series dataframe + Remove tickers with nulls in value over a threshold. - threshold: int, OPTIONAL - The number of null values allowed - Default is 100 - - Returns - ------- - df : pandas dataframe - Updated price time series without any nuns + :param dataframe: (pd.DataFrame) : Asset price data + :param threshold: (int) : The number of null values allowed + :return dataframe: (pd.DataFrame) : Price Data without any null values. """ null_sum_each_ticker = dataframe.isnull().sum() tickers_under_threshold = \ @@ -71,27 +58,13 @@ def get_price_data(tickers: list, interval: str = '5m') -> pd.DataFrame: """ Get the price data with custom start and end date and interval. - - No Pre and Post market data. For daily price, only keep the closing price. - Parameters - ---------- - start_date : str - Download start date string (YYYY-MM-DD) or _datetime. - end_date : str - Download end date string (YYYY-MM-DD) or _datetime. - interval : str, OPTIONAL - Valid intervals: 1m,2m,5m,15m,30m,60m,90m,1h,1d,5d,1wk,1mo,3mo - Intraday data cannot extend last 60 days - Default is '5m' - tickers : str, list - List of tickers to download - - Returns - ------- - price_data : pandas dataframe - The requested price_data + :param tickers: (list) : List of tickers to download + :param start_date: (str) : Download start date string (YYYY-MM-DD) + :param end_date: (str) : Download end date string (YYYY-MM-DD) + :param interval: (str) : Valid intervals: 1m,2m,5m,15m,30m,60m,90m,1h,1d,5d,1wk,1mo,3mo + :return price_data: (pd.DataFrame) : The requested price_data. """ price_data = yf.download(tickers, start=start_date, end=end_date, @@ -115,10 +88,11 @@ def get_returns_data(price_data: pd.DataFrame) -> pd.DataFrame: def get_ticker_sector_info(self, tickers: list, yf_call_chunk: int = 20) -> pd.DataFrame: """ - This method will loop through all the tickers tagged by sector and generate - pairwise combinations of the assets for each sector. + This method will loop through all the tickers, using the yfinance library + do a ticker info request and retrieve back 'sector' and 'industry' information. - :param tickers: (list) : List of asset name pairs + :param tickers: (list) : List of asset symbols + :param yf_call_chunk: (int) : Ticker values allowed per 'Tickers' object. This should always be less than 200. :return augmented_tickers: (pd.DataFrame) : DataFrame with input asset tickers and their respective sector and industry information """ @@ -139,9 +113,9 @@ def get_ticker_sector_info(self, tickers: list, yf_call_chunk: int = 20) -> pd.D ticker_info = tckrs.tickers[i].info tckr_info.append( (tckr, ticker_info['industry'], ticker_info['sector'])) - except ValueError: + except ValueError: # pragma: no cover # can only happen if the server sends back corrupted data pass - except RuntimeError: + except RuntimeError: # pragma: no cover # can only happen if server is down pass return pd.DataFrame(data=tckr_info, columns=['ticker', 'industry', 'sector']) diff --git a/arbitragelab/ml_based_pairs_selection/pairs_selector.py b/arbitragelab/ml_based_pairs_selection/pairs_selector.py index cdf2ce1a..c7836831 100644 --- a/arbitragelab/ml_based_pairs_selection/pairs_selector.py +++ b/arbitragelab/ml_based_pairs_selection/pairs_selector.py @@ -37,14 +37,16 @@ def __init__(self, universe: pd.DataFrame): """ self.prices_df = universe - self.feature_vector = [] + self.feature_vector = None self.cluster_pairs_combinations = [] - self.coint_pass_pairs = [] self.spreads_df = None - self.hurst_pass_pairs = [] - self.hl_pass_pairs = [] + + self.coint_pass_pairs = pd.Series({}, dtype=object) + self.hurst_pass_pairs = pd.Series({}, dtype=object) + self.hl_pass_pairs = pd.Series({}, dtype=object) + self.final_pairs = [] - self.clust = None + self.clust_labels_ = [] def dimensionality_reduction_by_components(self, num_features: int = 10): """ @@ -79,7 +81,7 @@ def dimensionality_reduction_by_components(self, num_features: int = 10): self.feature_vector.columns = returns_df.columns self.feature_vector = self.feature_vector.T - def plot_pca_matrix(self): + def plot_pca_matrix(self): # pragma: no cover """ Plots the feature vector on a scatter matrix. """ @@ -110,7 +112,7 @@ def cluster_using_optics(self, args: dict): clust = OPTICS(**args) clust.fit(self.feature_vector) - self.clust = clust + self.clust_labels_ = clust.labels_ def cluster_using_dbscan(self, args: dict): """ @@ -127,10 +129,10 @@ def cluster_using_dbscan(self, args: dict): clust = DBSCAN(**args) clust.fit(self.feature_vector) - self.clust = clust + self.clust_labels_ = clust.labels_ def plot_clustering_info(self, n_dimensions: int = 2, - method: str = "", figsize=(10, 10)): + method: str = "", figsize=(10, 10)): # pragma: no cover """ Plots the clusters found on a scatter plot. @@ -143,11 +145,11 @@ def plot_clustering_info(self, n_dimensions: int = 2, raise Exception("The needed feature vector has not been computed yet", "Please run dimensionality_reduction() before this method") - if self.clust is None: - raise Exception("The needed clusters have not been computed yet", + if self.clust_labels_ is None: + raise Exception("The needed cluster labels have not been computed yet", "Please run cluster() before this method") - no_of_classes = len(np.unique(self.clust.labels_)) + no_of_classes = len(np.unique(self.clust_labels_)) fig = plt.figure(1, facecolor='white', figsize=figsize) @@ -170,43 +172,31 @@ def plot_clustering_info(self, n_dimensions: int = 2, ax1.yaxis.set_ticks_position('left') ax1.tick_params(which='major', labelsize=18) -# cmap = plt.get_cmap('viridis') - #colors = cmap(np.linspace(0, 1, no_of_classes)) - paths_collection = [] - # , color in zip(range(0, no_of_classes), colors): for klass in range(0, no_of_classes): - x_klass = tsne_fv[self.clust.labels_ == klass] + x_klass = tsne_fv[self.clust_labels_ == klass] paths = ax1.plot(x_klass.loc[:, 0], x_klass.loc[:, 1], label=list(x_klass.index), markersize=30, alpha=0.75, marker='.', linestyle='None') paths_collection.append(paths) - # for i, ticker in enumerate( list(Xk.index) ): - # annot = ax1.annotate(ticker, (x[i], y[i]), alpha=0.9, size=10, color=color) - # annot.set_visible(False) - IndexedHighlight(np.ravel(paths_collection), formatter='{label}'.format) - ax1.plot(tsne_fv.iloc[self.clust.labels_ == -1, 0], - tsne_fv.iloc[self.clust.labels_ == -1, 1], 'k+', alpha=0.1) + ax1.plot(tsne_fv.iloc[self.clust_labels_ == -1, 0], + tsne_fv.iloc[self.clust_labels_ == -1, 1], 'k+', alpha=0.1) ax1.set_title('Automatic Clustering\n' + method) elif n_dimensions == 3: ax1 = plt.subplot(111, projection='3d') -# cmap = plt.get_cmap('viridis') - #colors = cmap(np.linspace(0, 1, no_of_classes)) - paths_collection = [] - # , color in zip(range(0, no_of_classes), colors): for klass in range(0, no_of_classes): - x_klass = tsne_fv[self.clust.labels_ == klass] + x_klass = tsne_fv[self.clust_labels_ == klass] paths = ax1.plot(x_klass.loc[:, 0], x_klass.loc[:, 1], x_klass.loc[:, 2], alpha=0.7, marker='.', linestyle='None', label=list(x_klass.index), markersize=30) @@ -216,9 +206,9 @@ def plot_clustering_info(self, n_dimensions: int = 2, IndexedHighlight(np.ravel(paths_collection), formatter='{label}'.format) - ax1.plot(tsne_fv.iloc[self.clust.labels_ == -1, 0], - tsne_fv.iloc[self.clust.labels_ == -1, 1], - tsne_fv.iloc[self.clust.labels_ == -1, 2], 'k+', alpha=0.1) + ax1.plot(tsne_fv.iloc[self.clust_labels_ == -1, 0], + tsne_fv.iloc[self.clust_labels_ == -1, 1], + tsne_fv.iloc[self.clust_labels_ == -1, 2], 'k+', alpha=0.1) ax1.set_title('Automatic Clustering\n' + method) else: @@ -227,7 +217,7 @@ def plot_clustering_info(self, n_dimensions: int = 2, plt.tight_layout() plt.show() - def plot_knee_plot(self): + def plot_knee_plot(self): # pragma: no cover """ This method will plot the k-distance graph, ordered from the largest to the smallest value. The values where this plot shows an "elbow" should be a reference to the user of the optimal @@ -244,23 +234,22 @@ def plot_knee_plot(self): plt.xlabel('# of data rows') plt.plot(result[0]) - def _generate_pairwise_combinations(self) -> list: + def _generate_pairwise_combinations(self, labels: list) -> list: """ This method will loop through all generated clusters (except -1) and generate pairwise combinations of the assets in each cluster. + :param labels: (list) : List of unique labels :return pair_combinations: (list) : list of asset name pairs """ - c_labels = np.unique(self.clust.labels_[self.clust.labels_ != -1]) - - if len(c_labels) == 0: - raise Exception("No clusters have been found") + if len(labels) == 0: + raise Exception("No Labels have been found") pair_combinations = [] - for labl in c_labels: - cluster_x = self.feature_vector[self.clust.labels_ == labl].index + for labl in labels: + cluster_x = self.feature_vector[self.clust_labels_ == labl].index cluster_x = cluster_x.tolist() for combination in list(itertools.combinations(cluster_x, 2)): @@ -370,7 +359,7 @@ def _final_criterions(spreads_df: pd.DataFrame, pairs: list, return hl_pass_pairs, final_pairs def unsupervised_candidate_pair_selector( - self, pvalue_threshold: int = 0.01, hurst_exp_threshold: int = 0.5, min_crossover_threshold_per_year: int = 12) -> list: + self, pvalue_threshold: int = 0.01, hurst_exp_threshold: int = 0.5, min_crossover_threshold_per_year: int = 12) -> list: # pragma: no cover """ Third step of the framework; The clusters found in step two are used to generate a list of possible pairwise combinations. The combinations generated are then checked to see if they comply with the criteria supplied in the @@ -383,14 +372,15 @@ def unsupervised_candidate_pair_selector( :return final_pairs: (list) : tuple list of final pairs """ - if self.clust is None: - raise Exception("The needed clusters have not been computed yet", + if self.clust_labels_ is None: + raise Exception("The needed cluster labels have not been computed yet", "Please run cluster() before this method") # Generate needed pairwise combinations and remove unneccessary # duplicates. - cluster_x_cointegration_combinations = self._generate_pairwise_combinations() + c_labels = np.unique(self.clust_labels_[self.clust_labels_ != -1]) + cluster_x_cointegration_combinations = self._generate_pairwise_combinations(c_labels) self.cluster_pairs_combinations = cluster_x_cointegration_combinations return self._criterion_selection(cluster_x_cointegration_combinations, pvalue_threshold, hurst_exp_threshold, min_crossover_threshold_per_year) @@ -444,23 +434,8 @@ def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalu return final_pairs.index.values - def manual_candidate_pair_selector(self, pair_combinations: list, pvalue_threshold: int = 0.01, - hurst_exp_threshold: int = 0.5, min_crossover_threshold_per_year: int = 12) -> list: - """ - The combinations given are checked to see if they comply with the criteria supplied in the - paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves within convenient periods and - finally that the spread reverts to the mean with enough frequency. - - :param pair_combinations: (list) : list of asset pairs - :param pvalue_threshold: (int) : max p-value threshold to be used in the cointegration tests - :param hurst_exp_threshold: (int) : max hurst threshold value - :param min_crossover_threshold_per_year: (int) : minimum amount of mean crossovers per year - :return final_pairs: (list) : tuple list of final pairs - """ - - return self._criterion_selection(pair_combinations, pvalue_threshold, hurst_exp_threshold, min_crossover_threshold_per_year) - def plot_selected_pairs(self): + def plot_selected_pairs(self): # pragma: no cover """ Plots the final selection of pairs. """ @@ -494,7 +469,7 @@ def describe(self) -> pd.DataFrame: :return: (pd.DataFrame) Dataframe of summary statistics. """ - no_clusters = len(list(set(self.clust.labels_))) - 1 + no_clusters = len(list(set(self.clust_labels_))) - 1 no_paircomb = len(self.cluster_pairs_combinations) no_hurstpair = len(self.hurst_pass_pairs) no_hlpair = len(self.hl_pass_pairs) @@ -528,11 +503,11 @@ def describe_extra(self) -> pd.DataFrame: 'level_0': 'leg_1', 'level_1': 'leg_2', 'hl': 'half_life'}) \ - .drop(['constant'], axis=1) \ + .drop(['constant'], axis=1, errors='ignore') \ @staticmethod - def _convert_to_tuple(arr: np.array) -> tuple: + def _convert_to_tuple(arr: np.array) -> tuple: # pragma: no cover """ Returns a list converted to a tuple. @@ -542,14 +517,14 @@ def _convert_to_tuple(arr: np.array) -> tuple: return tuple(i for i in arr) def describe_pairs_sectoral_info( - self, leg_1: str, leg_2: str, sectoral_info_df: pd.DataFrame) -> pd.DataFrame: + self, leg_1: list, leg_2: list, sectoral_info_df: pd.DataFrame) -> pd.DataFrame: """ Returns information on each pair selected. The following statistics are included - both legs of the pair, cointegration (t-value, p-value, hedge_ratio), hurst_exponent, half_life, no_mean_crossovers. - :param leg_1: (str) Symbol of the first asset. - :param leg_2: (str) Symbol of the second asset. + :param leg_1: (list) vector Symbol of the first asset. + :param leg_2: (list) vector Symbol of the second asset. :param sectoral_info_df: (pd.DataFrame) DataFrame with two columns (ticker, sector) to be used in the output. :return: (pd.DataFrame) Dataframe of pair sectoral statistics. """ diff --git a/arbitragelab/ml_based_pairs_selection/stat_arb_utils.py b/arbitragelab/ml_based_pairs_selection/stat_arb_utils.py index 3fae284f..4dc2c5b3 100644 --- a/arbitragelab/ml_based_pairs_selection/stat_arb_utils.py +++ b/arbitragelab/ml_based_pairs_selection/stat_arb_utils.py @@ -29,9 +29,6 @@ def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, cross_overs_per_d spread = spreads_df.loc[:, str(pair)] - if len(spread.shape) > 1: - spread = pd.Series(np.squeeze(spread.values)) - lagged_spread = spread.shift(1).dropna(0) lagged_spread_c = sm.add_constant(lagged_spread) @@ -46,7 +43,7 @@ def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, cross_overs_per_d # This result implies that the expected duration of mean reversion λ is # inversely proportional to the absolute value of λ - # h = np.log(2) / abs(res.params[0]) + # Example; h = np.log(2) / abs(res.params[0]) # split the spread in two; the train_df is going to be used to get the long term mean # and test_df is going to be used to get the number of mean cross overs @@ -67,16 +64,13 @@ def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, cross_overs_per_d cross_overs_counts.columns = ['counts'] - if cross_overs_counts.empty: - cross_overs = False - else: - cross_overs = len(cross_overs_counts[cross_overs_counts['counts'] > cross_overs_per_delta]) > 0 + cross_overs = len(cross_overs_counts[cross_overs_counts['counts'] > cross_overs_per_delta]) > 0 ou_results.append([np.log(2) / abs(res.params[0]), cross_overs]) return pd.DataFrame(ou_results, index=molecule, columns=['hl', 'crossovers']) -def linear_f(beta, x_variable): +def linear_f(beta, x_variable): # pragma: no cover """ This is the helper linear model that is going to be used in the Orthogonal Regression. diff --git a/arbitragelab/tests/test_data_importer.py b/arbitragelab/tests/test_data_importer.py new file mode 100644 index 00000000..b564f18a --- /dev/null +++ b/arbitragelab/tests/test_data_importer.py @@ -0,0 +1,71 @@ +# Copyright 2019, Hudson and Thames Quantitative Research +# All rights reserved +# Read more: https://github.com/hudson-and-thames/arbitragelab/blob/master/LICENSE.txt +""" +Tests functionality of Data Importer: +ml_based_pairs_selection/data_importer.py +""" +import os +import unittest +import pandas as pd +import numpy as np +from arbitragelab.ml_based_pairs_selection import DataImporter + + +class TestDataImporter(unittest.TestCase): + """ + Tests Data Importer class. + """ + + def setUp(self): + """ + Loads price universe + """ + np.random.seed(0) + + project_path = os.path.dirname(__file__) + data_path = project_path + '/test_data/data.csv' + self.data = pd.read_csv( + data_path, parse_dates=True, index_col="Date").dropna() + + def test_ticker_collectors(self): + """ + Tests ticker collection collectors. + """ + self.assertEqual(len(DataImporter.get_sp500_tickers()), 505) + self.assertEqual(len(DataImporter.get_dow_tickers()), 30) + + def test_preprocessing_methods(self): + """ + Tests preprocessing methods. + """ + sample_df = pd.DataFrame(data=np.ones((200, 20))) + sample_df[20] = np.nan + + self.assertEqual(len(DataImporter.remove_nuns(sample_df).columns), 20) + + self.assertAlmostEqual(DataImporter.get_returns_data( + self.data.iloc[:, 1]).mean(), 0, places=3) + + def test_price_retriever(self): + """ + Tests asset prices retriever. + """ + self.assertEqual(len(DataImporter.get_price_data( + 'GOOG', '2015-01-01', '2016-01-01', '1d')), 253) + + @staticmethod + def test_ticker_sector_info(): + """ + Tests ticker information augmentor. + """ + data_importer = DataImporter() + + expected_result = pd.DataFrame(data=[ + ('GOOG', 'Internet Content & Information', 'Communication Services'), + ('FB', 'Internet Content & Information', 'Communication Services') + ]) + expected_result.columns = ['ticker', 'industry', 'sector'] + + pd.testing.assert_frame_equal( + data_importer.get_ticker_sector_info(['GOOG', 'FB'], 1), expected_result) diff --git a/arbitragelab/tests/test_pairs_selector.py b/arbitragelab/tests/test_pairs_selector.py index e7745b3a..20fb1c43 100644 --- a/arbitragelab/tests/test_pairs_selector.py +++ b/arbitragelab/tests/test_pairs_selector.py @@ -11,6 +11,8 @@ import numpy as np from arbitragelab.ml_based_pairs_selection import PairsSelector +# pylint: disable=protected-access + class TestPairsSelector(unittest.TestCase): """ Tests Pairs Selector class. @@ -24,7 +26,8 @@ def setUp(self): project_path = os.path.dirname(__file__) data_path = project_path + '/test_data/data.csv' - self.data = pd.read_csv(data_path, parse_dates=True, index_col="Date").dropna() + self.data = pd.read_csv( + data_path, parse_dates=True, index_col="Date").dropna() self.pair_selector = PairsSelector(self.data) def test_dimensionality_reduction(self): @@ -33,19 +36,58 @@ def test_dimensionality_reduction(self): """ self.pair_selector.dimensionality_reduction_by_components(5) - expected_stds = pd.Series([0.008302, 0.045064, 0.045148, 0.045169, 0.045146]) + expected_stds = pd.Series( + [0.008302, 0.045064, 0.045148, 0.045169, 0.045146]) actual_stds = self.pair_selector.feature_vector.std() - pd.testing.assert_series_equal(expected_stds, actual_stds, check_less_precise=True) + pd.testing.assert_series_equal( + expected_stds, actual_stds, check_less_precise=True) + + with self.assertRaises(Exception): + pair_selector = PairsSelector(None) + pair_selector.dimensionality_reduction_by_components(15) def test_clustering(self): """ Verifies generated clusters from both techniques in the PairsSelector class. """ + with self.assertRaises(Exception): + pair_selector = PairsSelector(None) + pair_selector.cluster_using_optics({}) + + with self.assertRaises(Exception): + pair_selector = PairsSelector(None) + pair_selector.cluster_using_dbscan({}) + + self.pair_selector.dimensionality_reduction_by_components(5) + + self.pair_selector.cluster_using_optics({'min_samples': 3}) + self.assertEqual(len(np.unique(self.pair_selector.clust_labels_)), 47) + + self.pair_selector.cluster_using_dbscan( + {'eps': 0.03, 'min_samples': 3}) + self.assertEqual(len(np.unique(self.pair_selector.clust_labels_)), 11) + + def test_generate_pairwise_combinations(self): + """ + Verifies pairs generator in the PairsSelector class. + """ + self.pair_selector.dimensionality_reduction_by_components(5) + self.pair_selector.cluster_using_optics({'min_samples': 3}) - self.assertEqual(len(np.unique(self.pair_selector.clust.labels_)), 47) - self.pair_selector.cluster_using_dbscan({'eps': 0.03, 'min_samples': 3}) - self.assertEqual(len(np.unique(self.pair_selector.clust.labels_)), 11) + + c_labels = np.unique(self.pair_selector.clust_labels_[ \ + self.pair_selector.clust_labels_ != -1]) + + self.assertEqual(len(c_labels), 46) + + pair_list = self.pair_selector._generate_pairwise_combinations( + c_labels) + + self.assertEqual(len(pair_list), 631) + + with self.assertRaises(Exception): + self.pair_selector._generate_pairwise_combinations([]) def test_hurst_criterion(self): """ @@ -53,11 +95,19 @@ def test_hurst_criterion(self): """ self.pair_selector.dimensionality_reduction_by_components(5) self.pair_selector.cluster_using_optics({'min_samples': 3}) - hedge_ratios = [0.832406370860649, 0.892407527838706] - idx = [('AJG', 'ICE'), ('AJG', 'MMC')] - input_pairs = pd.DataFrame(data=hedge_ratios, columns=['hedge_ratio'], index=idx) + + hedge_ratios = [0.832406370860649, 0.892407527838706, 0.461344] + idx = [('AJG', 'ICE'), ('AJG', 'MMC'), ('AIG', 'LEG')] + input_pairs = pd.DataFrame(data=hedge_ratios, columns=[ \ + 'hedge_ratio'], index=idx) + result = self.pair_selector._hurst_criterion(input_pairs) - pd.testing.assert_series_equal(pd.Series(idx), pd.Series(result[1].index)) + + pd.testing.assert_series_equal( + pd.Series(idx[0:2]), pd.Series(result[1].index)) + + with self.assertRaises(Exception): + self.pair_selector._hurst_criterion([]) def test_final_criterions(self): """ @@ -65,13 +115,23 @@ def test_final_criterions(self): """ self.pair_selector.dimensionality_reduction_by_components(5) self.pair_selector.cluster_using_optics({'min_samples': 3}) + hedge_ratios = [0.832406370860649, 0.892407527838706] idx = [('AJG', 'ICE'), ('AJG', 'MMC')] - input_pairs = pd.DataFrame(data=hedge_ratios, columns=['hedge_ratio'], index=idx) - spreads_df, hurst_pass_pairs = self.pair_selector._hurst_criterion(input_pairs) - hl_pairs, final_pairs = self.pair_selector._final_criterions(spreads_df, hurst_pass_pairs.index.values) - pd.testing.assert_series_equal(pd.Series(idx), pd.Series(hl_pairs.index)) - pd.testing.assert_series_equal(pd.Series(idx), pd.Series(final_pairs.index)) + input_pairs = pd.DataFrame(data=hedge_ratios, columns=[ \ + 'hedge_ratio'], index=idx) + spreads_df, hurst_pass_pairs = self.pair_selector._hurst_criterion( + input_pairs) + + hl_pairs, final_pairs = self.pair_selector._final_criterions( + spreads_df, hurst_pass_pairs.index.values) + pd.testing.assert_series_equal( + pd.Series(idx), pd.Series(hl_pairs.index)) + pd.testing.assert_series_equal( + pd.Series(idx), pd.Series(final_pairs.index)) + + with self.assertRaises(Exception): + self.pair_selector._final_criterions([], []) def test_criterion_selector(self): """ @@ -79,9 +139,48 @@ def test_criterion_selector(self): """ self.pair_selector.dimensionality_reduction_by_components(5) self.pair_selector.cluster_using_optics({'min_samples': 3}) + final_pairs = [('AJG', 'ICE'), ('AJG', 'MMC')] coint_pairs = [('MAA', 'UDR'), ('ATO', 'XEL'), ('CCL', 'MAR')] input_pairs = final_pairs + coint_pairs + result = self.pair_selector._criterion_selection(input_pairs) - pd.testing.assert_series_equal(pd.Series(final_pairs), pd.Series(self.ps.coint_pass_pairs.index)) - pd.testing.assert_series_equal(pd.Series(final_pairs), pd.Series(result)) + + pd.testing.assert_series_equal(pd.Series(final_pairs), pd.Series( + self.pair_selector.coint_pass_pairs.index)) + pd.testing.assert_series_equal( + pd.Series(final_pairs), pd.Series(result)) + + def test_description_methods(self): + """ + Tests the various pair description methods. + """ + self.assertEqual(type(self.pair_selector.describe()), pd.DataFrame) + self.assertEqual( + type(self.pair_selector.describe_extra()), pd.DataFrame) + + sectoral_description = self.pair_selector.describe_pairs_sectoral_info(['AJG'], ['ICE'], \ + pd.DataFrame(columns=['ticker', 'sector', 'industry'])) + self.assertEqual(type(sectoral_description), pd.DataFrame) + + sector_info = pd.DataFrame(data=[ + ('AJG', 'sector', 'industry'), + ('ICE', 'sector', 'industry') + ]) + sector_info.columns = ['ticker', 'sector', 'industry'] + self.assertEqual(type(self.pair_selector.describe_pairs_sectoral_info( + ['AJG'], ['ICE'], sector_info)), pd.DataFrame) + + def test_manual_methods(self): + """ + Tests the pair generator that uses user inputted category based clusters. + """ + sector_info = pd.DataFrame(data=[ + ('AJG', 'sector'), + ('ICE', 'sector'), + ('MMC', '') + ]) + sector_info.columns = ['ticker', 'sector'] + + self.assertEqual( + len(self.pair_selector.get_pairs_by_sector(sector_info)), 1) diff --git a/arbitragelab/util/__init__.py b/arbitragelab/util/__init__.py index b28b04f6..0722cb4c 100644 --- a/arbitragelab/util/__init__.py +++ b/arbitragelab/util/__init__.py @@ -1,3 +1,3 @@ - - - +""" +Utility functions. +""" diff --git a/arbitragelab/util/indexed_highlight.py b/arbitragelab/util/indexed_highlight.py index b6884513..5b97da3f 100644 --- a/arbitragelab/util/indexed_highlight.py +++ b/arbitragelab/util/indexed_highlight.py @@ -5,7 +5,7 @@ import matplotlib.pyplot as plt from mpldatacursor import DataCursor, HighlightingDataCursor -class IndexedHighlight(HighlightingDataCursor): +class IndexedHighlight(HighlightingDataCursor): # pragma: no cover """ This class extends HighlightingDataCursor to add support for highlighting of cluster groups. diff --git a/requirements.txt b/requirements.txt index 370a1aed..632a6dca 100644 --- a/requirements.txt +++ b/requirements.txt @@ -7,4 +7,10 @@ pylint==2.5.3 sphinx==2.2.1 # needed for docs sphinx-rtd-theme==0.4.3 # needed for docs statsmodels==0.11.1 -analytics-python==1.2.9 \ No newline at end of file +analytics-python==1.2.9 + +mpldatacursor==0.7.1 +yfinance==0.1.54 +scipy==1.4.1 +scikit-learn==0.23.1 +yahoo-fin==0.86 \ No newline at end of file From 6ba5f69c651ced42ecf40545abb51a3cb16914fe Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Wed, 11 Nov 2020 16:55:33 +0100 Subject: [PATCH 03/29] Code style fixes --- arbitragelab/__init__.py | 7 +- arbitragelab/ml_approach/__init__.py | 8 + .../pairs_selector.py | 401 +- .../stat_arb_utils.py | 30 +- .../ml_based_pairs_selection/__init__.py | 7 - arbitragelab/tests/test_data/data.csv | 3412 +++++------------ arbitragelab/tests/test_data_importer.py | 27 +- arbitragelab/tests/test_indexed_highlight.py | 86 + arbitragelab/tests/test_pairs_selector.py | 179 +- arbitragelab/util/__init__.py | 6 + .../data_importer.py | 59 +- arbitragelab/util/indexed_highlight.py | 8 +- 12 files changed, 1467 insertions(+), 2763 deletions(-) create mode 100644 arbitragelab/ml_approach/__init__.py rename arbitragelab/{ml_based_pairs_selection => ml_approach}/pairs_selector.py (55%) rename arbitragelab/{ml_based_pairs_selection => ml_approach}/stat_arb_utils.py (80%) delete mode 100644 arbitragelab/ml_based_pairs_selection/__init__.py create mode 100644 arbitragelab/tests/test_indexed_highlight.py rename arbitragelab/{ml_based_pairs_selection => util}/data_importer.py (61%) diff --git a/arbitragelab/__init__.py b/arbitragelab/__init__.py index b20c2203..41cb8599 100644 --- a/arbitragelab/__init__.py +++ b/arbitragelab/__init__.py @@ -1,7 +1,8 @@ +# Copyright 2019, Hudson and Thames Quantitative Research +# All rights reserved +# Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt """ ArbitrageLab helps portfolio managers and traders who want to leverage the power of statistical arbitrage by providing reproducible, interpretable, and easy to use tools. """ - -from arbitragelab.ml_based_pairs_selection import pairs_selector -from arbitragelab.ml_based_pairs_selection import data_importer +import arbitragelab.ml_approach as ml_approach diff --git a/arbitragelab/ml_approach/__init__.py b/arbitragelab/ml_approach/__init__.py new file mode 100644 index 00000000..e27d191c --- /dev/null +++ b/arbitragelab/ml_approach/__init__.py @@ -0,0 +1,8 @@ +# Copyright 2019, Hudson and Thames Quantitative Research +# All rights reserved +# Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt +""" +This module houses the ML Based Approaches +""" + +from arbitragelab.ml_approach.pairs_selector import PairsSelector \ No newline at end of file diff --git a/arbitragelab/ml_based_pairs_selection/pairs_selector.py b/arbitragelab/ml_approach/pairs_selector.py similarity index 55% rename from arbitragelab/ml_based_pairs_selection/pairs_selector.py rename to arbitragelab/ml_approach/pairs_selector.py index c7836831..d994d627 100644 --- a/arbitragelab/ml_based_pairs_selection/pairs_selector.py +++ b/arbitragelab/ml_approach/pairs_selector.py @@ -1,25 +1,26 @@ +# Copyright 2019, Hudson and Thames Quantitative Research +# All rights reserved +# Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt """ This module implements the ML based Pairs Selection Framework described by by Simão Moraes Sarmento and Nuno Horta in `"A Machine Learning based Pairs Trading Investment Strategy." `__. """ import itertools - import pandas as pd import numpy as np - -from sklearn.decomposition import PCA -from sklearn.preprocessing import StandardScaler +import matplotlib.pyplot as plt +from matplotlib.axes._axes import Axes +from matplotlib.figure import Figure from sklearn.manifold import TSNE +from sklearn.decomposition import PCA from sklearn.cluster import OPTICS, DBSCAN from sklearn.neighbors import NearestNeighbors +from sklearn.preprocessing import StandardScaler -import matplotlib.pyplot as plt - -from arbitragelab.ml_based_pairs_selection.stat_arb_utils import _outer_cointegration_loop, _outer_ou_loop +from arbitragelab.ml_approach.stat_arb_utils import _outer_cointegration_loop, _outer_ou_loop from arbitragelab.util.indexed_highlight import IndexedHighlight - class PairsSelector: """ Implementation of the Proposed Pairs Selection Framework in the following paper. The @@ -29,11 +30,10 @@ class PairsSelector: def __init__(self, universe: pd.DataFrame): """ - Constructor - - Sets up the price series needed for the next step + Constructor. + Sets up the price series needed for the next step. - :param universe: (pd.DataFrame): Asset prices universe + :param universe: (pd.DataFrame) Asset prices universe. """ self.prices_df = universe @@ -54,36 +54,38 @@ def dimensionality_reduction_by_components(self, num_features: int = 10): data using pca down to the amount of dimensions needed to be used as a feature vector in the clustering step. Optimal ranges for the dimensions required in the feature vector should be <15. - :param num_features: (int): Used to select pca n_components to be used in the feature vector + :param num_features: (int) Used to select pca n_components to be used in the feature vector. """ if self.prices_df is None: raise Exception( - "Please input a valid price series before running this method") + "Please input a valid price series before running this method.") - # cleaning + # Cleaning returns_df = (self.prices_df - self.prices_df.shift(1)) returns_df = returns_df / self.prices_df.shift(1) returns_df.replace([np.inf, -np.inf], np.nan, inplace=True) returns_df.ffill(inplace=True) - # scaling + # Scaling scaler = StandardScaler() scaled_returns_df = pd.DataFrame(scaler.fit_transform(returns_df)) scaled_returns_df.columns = returns_df.columns scaled_returns_df.set_index(returns_df.index) scaled_returns_df.dropna(inplace=True) - # reducing + # Reducing pca = PCA(n_components=num_features) pca.fit(scaled_returns_df) self.feature_vector = pd.DataFrame(pca.components_) self.feature_vector.columns = returns_df.columns self.feature_vector = self.feature_vector.T - def plot_pca_matrix(self): # pragma: no cover + def plot_pca_matrix(self) -> list: """ Plots the feature vector on a scatter matrix. + + :return: (list) List of Axes objects. """ feature_vector = self.feature_vector.copy() @@ -98,17 +100,19 @@ def plot_pca_matrix(self): # pragma: no cover for i in axes[0, 0].get_yticklabels()] axes[0, 0].set_yticklabels(new_labels) + return axes + def cluster_using_optics(self, args: dict): """ Second step of the framework; Doing Unsupervised Learning on the feature vector supplied from the first step. The clustering method used is OPTICS, chosen mainly for it being basically parameterless. - :param args: (dict): Arguments to be passed to the clustering algorithm + :param args: (dict) Arguments to be passed to the clustering algorithm. """ if self.feature_vector is None: - raise Exception("The needed feature vector has not been computed yet", - "Please run dimensionality_reduction() before this method") + raise Exception("The needed feature vector has not been computed yet.", + "Please run dimensionality_reduction() before this method.") clust = OPTICS(**args) clust.fit(self.feature_vector) @@ -120,131 +124,177 @@ def cluster_using_dbscan(self, args: dict): The second clustering method used is DBSCAN, for when the user needs a more hands on approach to doing the clustering step, given the parameter sensitivity of this method. - :param args: (dict): Arguments to be passed to the clustering algorithm + :param args: (dict) Arguments to be passed to the clustering algorithm. """ if self.feature_vector is None: - raise Exception("The needed feature vector has not been computed yet", - "Please run dimensionality_reduction() before this method") + raise Exception("The needed feature vector has not been computed yet.", + "Please run dimensionality_reduction() before this method.") clust = DBSCAN(**args) clust.fit(self.feature_vector) self.clust_labels_ = clust.labels_ - def plot_clustering_info(self, n_dimensions: int = 2, - method: str = "", figsize=(10, 10)): # pragma: no cover + def plot_clustering_info(self, n_dimensions: int = 2, method: str = "", + figsize: tuple = (10, 10), show: bool = True) -> Axes: """ Plots the clusters found on a scatter plot. - :param n_dimensions: (int): Selected dimension to be used in the T-SNE plot - :param method: (str): String to be used as title in the plot - :param figsize: (tuple): Tuple describing the size of the plot + :param n_dimensions: (int) Selected dimension to be used in the T-SNE plot. + :param method: (str) String to be used as title in the plot. + :param figsize: (tuple) Tuple describing the size of the plot. + :return: (Axes) Axes object. """ if self.feature_vector is None: - raise Exception("The needed feature vector has not been computed yet", - "Please run dimensionality_reduction() before this method") + raise Exception("The needed feature vector has not been computed yet.", + "Please run dimensionality_reduction() before this method.") + + if len(self.clust_labels_) == 0: + raise Exception("The needed cluster labels have not been computed yet.", + "Please run cluster() before this method.") - if self.clust_labels_ is None: - raise Exception("The needed cluster labels have not been computed yet", - "Please run cluster() before this method") + if (n_dimensions > 3) and (n_dimensions > 1): + raise Exception("Select a valid dimension! (more than 1 and less than 3).") no_of_classes = len(np.unique(self.clust_labels_)) - fig = plt.figure(1, facecolor='white', figsize=figsize) + fig = plt.figure(facecolor='white', figsize=figsize) tsne = TSNE(n_components=n_dimensions) - tsne_fv = pd.DataFrame(tsne.fit_transform( - self.feature_vector), index=self.feature_vector.index) + + tsne_fv = pd.DataFrame( + tsne.fit_transform(self.feature_vector), + index=self.feature_vector.index + ) if n_dimensions == 2: + return self.plot_2d_scatter_plot(fig, tsne_fv, no_of_classes, method, show) + + return self.plot_3d_scatter_plot(tsne_fv, no_of_classes, method, show) + + + def plot_3d_scatter_plot(self, tsne_df: pd.DataFrame, no_of_classes: int, + method: str = "", show: bool = False) -> Axes: + """ + Plots the clusters found on a 3d scatter plot. + + :param tsne_df: (pd.DataFrame) Data reduced using T-SNE. + :param no_of_classes: (int) Number of unique clusters/classes. + :param method: (str) String to be used as title in the plot. + :param show: (bool) Switches between [True] plotting on a new axes object or + [False] plotting on the last axes object that's been created. + :return: (Axes) Axes object. + """ - ax1 = fig.add_subplot(111) + ax_object = plt.subplot(111, projection='3d') + paths_collection = [] - ax1.spines['left'].set_position('center') - ax1.spines['left'].set_alpha(0.3) - ax1.spines['bottom'].set_position('center') - ax1.spines['bottom'].set_alpha(0.3) - ax1.spines['right'].set_color('none') - ax1.spines['top'].set_color('none') + for klass in range(0, no_of_classes): + x_klass = tsne_df[self.clust_labels_ == klass] - ax1.xaxis.set_ticks_position('bottom') - ax1.yaxis.set_ticks_position('left') - ax1.tick_params(which='major', labelsize=18) + paths = ax_object.plot(x_klass.loc[:, 0], x_klass.loc[:, 1], x_klass.loc[:, 2], alpha=0.7, + marker='.', linestyle='None', label=list(x_klass.index), markersize=30) - paths_collection = [] + paths_collection.append(paths) - for klass in range(0, no_of_classes): - x_klass = tsne_fv[self.clust_labels_ == klass] + IndexedHighlight(np.ravel(paths_collection), + formatter='{label}'.format) - paths = ax1.plot(x_klass.loc[:, 0], x_klass.loc[:, 1], label=list(x_klass.index), markersize=30, alpha=0.75, - marker='.', linestyle='None') + ax_object.plot(tsne_df.iloc[self.clust_labels_ == -1, 0], tsne_df.iloc[self.clust_labels_ == -1, 1], + tsne_df.iloc[self.clust_labels_ == -1, 2], 'k+', alpha=0.1) + ax_object.set_title('Automatic Clustering\n' + method) - paths_collection.append(paths) + if show: # pragma: no cover + plt.show() - IndexedHighlight(np.ravel(paths_collection), - formatter='{label}'.format) + return ax_object - ax1.plot(tsne_fv.iloc[self.clust_labels_ == -1, 0], - tsne_fv.iloc[self.clust_labels_ == -1, 1], 'k+', alpha=0.1) + def plot_2d_scatter_plot(self, fig: Figure, tsne_df: pd.DataFrame, no_of_classes: int, + method: str = "", show: bool = False) -> Axes: + """ + Plots the clusters found on a 2d scatter plot. - ax1.set_title('Automatic Clustering\n' + method) + :param fig: (Figure) Figure object, needed for styling of spline. + :param tsne_df: (pd.DataFrame) Data reduced using T-SNE. + :param no_of_classes: (int) Number of unique clusters/classes. + :param method: (str) String to be used as title in the plot. + :param show: (bool) Switches between [True] plotting on a new axes object or + [False] plotting on the last axes object that's been created. + :return: (Axes) Axes object. + """ - elif n_dimensions == 3: + ax_object = fig.add_subplot(111) - ax1 = plt.subplot(111, projection='3d') - paths_collection = [] + ax_object.spines['left'].set_position('center') + ax_object.spines['left'].set_alpha(0.3) + ax_object.spines['bottom'].set_position('center') + ax_object.spines['bottom'].set_alpha(0.3) + ax_object.spines['right'].set_color('none') + ax_object.spines['top'].set_color('none') - for klass in range(0, no_of_classes): - x_klass = tsne_fv[self.clust_labels_ == klass] + ax_object.xaxis.set_ticks_position('bottom') + ax_object.yaxis.set_ticks_position('left') + ax_object.tick_params(which='major', labelsize=18) - paths = ax1.plot(x_klass.loc[:, 0], x_klass.loc[:, 1], x_klass.loc[:, 2], alpha=0.7, - marker='.', linestyle='None', label=list(x_klass.index), markersize=30) + paths_collection = [] - paths_collection.append(paths) + for klass in range(0, no_of_classes): + x_klass = tsne_df[self.clust_labels_ == klass] - IndexedHighlight(np.ravel(paths_collection), - formatter='{label}'.format) + paths = ax_object.plot(x_klass.loc[:, 0], x_klass.loc[:, 1], label=list(x_klass.index), + markersize=30, alpha=0.75, marker='.', linestyle='None') - ax1.plot(tsne_fv.iloc[self.clust_labels_ == -1, 0], - tsne_fv.iloc[self.clust_labels_ == -1, 1], - tsne_fv.iloc[self.clust_labels_ == -1, 2], 'k+', alpha=0.1) - ax1.set_title('Automatic Clustering\n' + method) + paths_collection.append(paths) - else: - raise Exception("Select a valid dimension!") + IndexedHighlight(np.ravel(paths_collection), + formatter='{label}'.format) - plt.tight_layout() - plt.show() + ax_object.plot(tsne_df.iloc[self.clust_labels_ == -1, 0], + tsne_df.iloc[self.clust_labels_ == -1, 1], 'k+', alpha=0.1) - def plot_knee_plot(self): # pragma: no cover + ax_object.set_title('Automatic Clustering\n' + method) + + if show:# pragma: no cover # this is here to stop matplotlib from popping an image on the build server + plt.show() + + return ax_object + + def plot_knee_plot(self) -> Axes: """ This method will plot the k-distance graph, ordered from the largest to the smallest value. The values where this plot shows an "elbow" should be a reference to the user of the optimal ε parameter to be used for the DBSCAN clustering method. + + :return: (Axes) Axes object. """ + fig = plt.figure() + ax_object = fig.add_subplot() + neigh = NearestNeighbors(n_neighbors=2) nbrs = neigh.fit(self.feature_vector) - result = nbrs.kneighbors(self.feature_vector) - result[0] = np.sort(result[0], axis=0) - result[0] = result[0][:, 1] + result, _ = nbrs.kneighbors(self.feature_vector) + result = np.sort(result, axis=0) + result = result[:, 1] + + ax_object.set_ylabel('k-distance') + ax_object.set_xlabel('# of data rows') + ax_object.plot(result) - plt.ylabel('k-distance') - plt.xlabel('# of data rows') - plt.plot(result[0]) + return ax_object def _generate_pairwise_combinations(self, labels: list) -> list: """ This method will loop through all generated clusters (except -1) and generate pairwise combinations of the assets in each cluster. - :param labels: (list) : List of unique labels - :return pair_combinations: (list) : list of asset name pairs + :param labels: (list) List of unique labels. + :return: (list) List of asset name pairs. """ if len(labels) == 0: - raise Exception("No Labels have been found") + raise Exception("No Labels have been found!") pair_combinations = [] @@ -263,16 +313,16 @@ def get_pairs_by_sector(sectoral_info: pd.DataFrame) -> list: This method will loop through all the tickers tagged by sector and generate pairwise combinations of the assets for each sector. - :param sectoral_info: (pd.DataFrame) : List of asset name pairs to be analyzed tagged with respective sector - :return pair_combinations: (list) : list of asset name pairs + :param sectoral_info: (pd.DataFrame) List of asset name pairs to be analyzed tagged with respective sector. + :return: (list) List of asset name pairs. """ pair_combinations = [] sectors = np.unique(sectoral_info['sector']) for sector in sectors: - cluster_x = sectoral_info[sectoral_info['sector'] - == sector]['ticker'].values + sector_list = sectoral_info[sectoral_info['sector'] == sector] + cluster_x = sector_list['ticker'].values if len(cluster_x) > 1: for combination in list(itertools.combinations(cluster_x, 2)): pair_combinations.append(combination) @@ -285,11 +335,10 @@ def _hurst_criterion(self, pairs: pd.DataFrame, This method will go through all the pairs given, calculate the needed spread and run the hurst exponent test against each one. - :param pairs: (pd.DataFrame) : DataFrame of asset name pairs to be analyzed - :param hurst_exp_threshold: (int) : max hurst threshold value - :return (tuple) : - spreads_df: (pd.DataFrame) : Hedge ratio adjusted spreads DataFrame - hurst_pass_pairs: (pd.DataFrame) : list of pairs that passed the hurst check and their respective hurst value + :param pairs: (pd.DataFrame) DataFrame of asset name pairs to be analyzed. + :param hurst_exp_threshold: (int) Max hurst threshold value. + :return: (pd.DataFrame, pd.DataFrame) The first DataFrame consists of the Hedge ratio adjusted spreads + and the second DataFrame consists of pairs that passed the hurst check / their respective hurst value. """ hurst_pass_pairs = [] @@ -309,7 +358,7 @@ def _hurst_criterion(self, pairs: pd.DataFrame, spreads_lst.append(spread_ts) spreads_cols.append(str(idx)) else: - raise Exception("No pairs have been found") + raise Exception("No pairs have been found!") spreads_df = pd.DataFrame(data=spreads_lst).T spreads_df.columns = spreads_cols @@ -328,53 +377,52 @@ def _final_criterions(spreads_df: pd.DataFrame, pairs: list, framework which involves; the calculation and check, of the half life of the given pair spread and the amount of mean crossovers throughout a set period, in this case in a year. - :param spreads_df: (pd.DataFrame) : Hedge ratio adjusted spreads DataFrame - :param pairs: (list) : List of asset name pairs to be analyzed - :param min_crossover_threshold_per_year: (int) : minimum amount of mean crossovers per year - :return (tuple) : - hl_pass_pairs: (pd.DataFrame) : DataFrame of pairs that passed the half life test and their values - final_pairs: (pd.DataFrame) : DataFrame of final pairs and their mean crossover counts + :param spreads_df: (pd.DataFrame) Hedge ratio adjusted spreads DataFrame. + :param pairs: (list) List of asset name pairs to be analyzed. + :param min_crossover_threshold_per_year: (int) Minimum amount of mean crossovers per year. + :return: (pd.DataFrame, pd.DataFrame) The first is a DataFrame of pairs that passed the half life + test and the second is a DataFrame of final pairs and their mean crossover counts. """ hl_pass_pairs = [] final_pairs = [] if len(pairs) != 0: - ou_results = _outer_ou_loop( - spreads_df, molecule=pairs, test_period='2Y', cross_overs_per_delta=min_crossover_threshold_per_year) + ou_results = _outer_ou_loop(spreads_df, molecule=pairs, test_period='2Y', + cross_overs_per_delta=min_crossover_threshold_per_year) final_selection = ou_results[ou_results['hl'] > 1] - final_selection = final_selection[ou_results['hl'] < 365] + final_selection = final_selection.loc[ou_results['hl'] < 365] hl_pass_pairs = final_selection - final_selection = final_selection[ou_results['crossovers']] + final_selection = final_selection.loc[ou_results['crossovers']] final_pairs = final_selection else: - raise Exception("No pairs have been found") + raise Exception("No pairs have been found!") return hl_pass_pairs, final_pairs - def unsupervised_candidate_pair_selector( - self, pvalue_threshold: int = 0.01, hurst_exp_threshold: int = 0.5, min_crossover_threshold_per_year: int = 12) -> list: # pragma: no cover + def unsupervised_candidate_pair_selector(self, pvalue_threshold: int = 0.01, hurst_exp_threshold: int = 0.5, + min_crossover_threshold_per_year: int = 12) -> list: """ Third step of the framework; The clusters found in step two are used to generate a list of possible pairwise combinations. The combinations generated are then checked to see if they comply with the criteria supplied in the paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves within convenient periods and finally that the spread reverts to the mean with enough frequency. - :param pvalue_threshold: (int) : max p-value threshold to be used in the cointegration tests - :param hurst_exp_threshold: (int) : max hurst threshold value - :param min_crossover_threshold_per_year: (int) : minimum amount of mean crossovers per year - :return final_pairs: (list) : tuple list of final pairs + :param pvalue_threshold: (int) Max p-value threshold to be used in the cointegration tests. + :param hurst_exp_threshold: (int) Max hurst threshold value. + :param min_crossover_threshold_per_year: (int) Minimum amount of mean crossovers per year. + :return: (list) Tuple list of final pairs. """ - if self.clust_labels_ is None: - raise Exception("The needed cluster labels have not been computed yet", - "Please run cluster() before this method") + if len(self.clust_labels_) == 0: + raise Exception("The needed cluster labels have not been computed yet.", + "Please run cluster() before this method.") # Generate needed pairwise combinations and remove unneccessary # duplicates. @@ -383,7 +431,8 @@ def unsupervised_candidate_pair_selector( cluster_x_cointegration_combinations = self._generate_pairwise_combinations(c_labels) self.cluster_pairs_combinations = cluster_x_cointegration_combinations - return self._criterion_selection(cluster_x_cointegration_combinations, pvalue_threshold, hurst_exp_threshold, min_crossover_threshold_per_year) + return self._criterion_selection(cluster_x_cointegration_combinations, + pvalue_threshold, hurst_exp_threshold, min_crossover_threshold_per_year) def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalue_threshold: int = 0.01, hurst_exp_threshold: int = 0.5, min_crossover_threshold_per_year: int = 12) -> list: @@ -393,11 +442,11 @@ def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalu paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves within convenient periods and finally that the spread reverts to the mean with enough frequency. - :param cluster_x_cointegration_combinations: (list) : list of asset pairs - :param pvalue_threshold: (int) : max p-value threshold to be used in the cointegration tests - :param hurst_exp_threshold: (int) : max hurst threshold value - :param min_crossover_threshold_per_year: (int) : minimum amount of mean crossovers per year - :return final_pairs: (list) : tuple list of final pairs + :param cluster_x_cointegration_combinations: (list) List of asset pairs. + :param pvalue_threshold: (int) Max p-value threshold to be used in the cointegration tests. + :param hurst_exp_threshold: (int) Max hurst threshold value. + :param min_crossover_threshold_per_year: (int) Minimum amount of mean crossovers per year. + :return: (list) Tuple list of final pairs. """ # Selection Criterion One: First, it is imposed that pairs are @@ -425,8 +474,8 @@ def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalu # lay between one day and one year. Finally, it is imposed that the spread crosses a mean at least # 12 times per year. - hl_pass_pairs, final_pairs = self._final_criterions( - spreads_df, hurst_pass_pairs.index.values, min_crossover_threshold_per_year) + hl_pass_pairs, final_pairs = self._final_criterions(spreads_df, hurst_pass_pairs.index.values, + min_crossover_threshold_per_year) self.hl_pass_pairs = hl_pass_pairs @@ -435,28 +484,29 @@ def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalu return final_pairs.index.values - def plot_selected_pairs(self): # pragma: no cover + def plot_selected_pairs(self) -> list: """ Plots the final selection of pairs. - """ - if self.final_pairs is None: - raise Exception("The needed pairs have not been computed yet", - "Please run criterion_selector() before this method") + :return: (list) List of Axes objects. + """ - if len(self.final_pairs) == 0: - raise Exception("No valid pairs have been found!") + if (self.final_pairs is None) or (len(self.final_pairs) == 0): + raise Exception("The needed pairs have not been computed yet.", + "Please run criterion_selector() before this method.") - _, axs = plt.subplots(len(self.final_pairs), + _, axs = plt.subplots(len(self.final_pairs), squeeze=False, figsize=(15, 3 * len(self.final_pairs))) - for i, frame in enumerate(self.final_pairs.index.values): + for ax_object, frame in zip(axs[0], self.final_pairs.index.values): rets_asset_one = np.log(self.prices_df.loc[:, frame[0]]).diff() rets_asset_two = np.log(self.prices_df.loc[:, frame[1]]).diff() - axs[i].plot(rets_asset_one.cumsum()) - axs[i].plot(rets_asset_two.cumsum()) - axs[i].legend([frame[0], frame[1]]) + ax_object.plot(rets_asset_one.cumsum()) + ax_object.plot(rets_asset_two.cumsum()) + ax_object.legend([frame[0], frame[1]]) + + return axs def describe(self) -> pd.DataFrame: """ @@ -493,21 +543,15 @@ def describe_extra(self) -> pd.DataFrame: :return: (pd.DataFrame) Dataframe of pair statistics. """ - return pd.concat([self.coint_pass_pairs, - self.hurst_pass_pairs, - self.hl_pass_pairs - ], axis=1) \ - .dropna() \ - .reset_index() \ - .rename(columns={ - 'level_0': 'leg_1', - 'level_1': 'leg_2', - 'hl': 'half_life'}) \ - .drop(['constant'], axis=1, errors='ignore') \ - + description_df = pd.concat([self.coint_pass_pairs, self.hurst_pass_pairs, self.hl_pass_pairs], axis=1) + description_df.dropna(inplace=True) + description_df.reset_index(inplace=True) + description_df.rename(columns={'level_0': 'leg_1', 'level_1': 'leg_2', 'hl': 'half_life'}, inplace=True) + description_df.drop(['constant'], axis=1, errors='ignore', inplace=True) + return description_df @staticmethod - def _convert_to_tuple(arr: np.array) -> tuple: # pragma: no cover + def _convert_to_tuple(arr: np.array) -> tuple: """ Returns a list converted to a tuple. @@ -516,52 +560,59 @@ def _convert_to_tuple(arr: np.array) -> tuple: # pragma: no cover """ return tuple(i for i in arr) - def describe_pairs_sectoral_info( - self, leg_1: list, leg_2: list, sectoral_info_df: pd.DataFrame) -> pd.DataFrame: + def describe_pairs_sectoral_info(self, leg_1: list, leg_2: list, + sectoral_info_df: pd.DataFrame) -> pd.DataFrame: """ Returns information on each pair selected. The following statistics are included - both legs of the pair, cointegration (t-value, p-value, hedge_ratio), hurst_exponent, half_life, no_mean_crossovers. - :param leg_1: (list) vector Symbol of the first asset. - :param leg_2: (list) vector Symbol of the second asset. - :param sectoral_info_df: (pd.DataFrame) DataFrame with two columns (ticker, sector) to be used in the output. + :param leg_1: (list) Vector of asset names. + :param leg_2: (list) Vector of asset names. + :param sectoral_info_df: (pd.DataFrame) DataFrame with two columns [ticker, sector] to be used in the output. :return: (pd.DataFrame) Dataframe of pair sectoral statistics. """ - leg_1_info = [] - leg_2_info = [] - - for tck in leg_1: - if sectoral_info_df[sectoral_info_df['ticker'] == tck].empty: - leg_1_info.append(('', '', '')) - else: - leg_1_info.append( - self._convert_to_tuple(sectoral_info_df[sectoral_info_df['ticker'] == tck].values[0])) + leg_1_info = self._loop_through_sectors(leg_1, sectoral_info_df) + leg_2_info = self._loop_through_sectors(leg_2, sectoral_info_df) - for tck in leg_2: - if sectoral_info_df[sectoral_info_df['ticker'] == tck].empty: - leg_2_info.append(('', '', '')) - else: - leg_2_info.append( - self._convert_to_tuple(sectoral_info_df[sectoral_info_df['ticker'] == tck].values[0])) - - info_df = pd.concat( - [pd.DataFrame(leg_1_info), pd.DataFrame(leg_2_info)], axis=1) + info_df = pd.concat([leg_1_info, leg_2_info], axis=1) info_df.columns = ['Leg 1 Ticker', 'Industry', 'Sector', 'Leg 2 Ticker', 'Industry', 'Sector'] return info_df + def _loop_through_sectors(self, tickers: list, sectoral_info_df: pd.DataFrame) -> pd.DataFrame: + """ + Helper method that loops through sectoral info. + + :param tickers: (list) Vector of asset names. + :param sectoral_info_df: (pd.DataFrame) DataFrame with two columns [ticker, sector] to be used in the output. + :return: (pd.DataFrame) Dataframe of ticker sectoral statistics. + """ + + tck_info = [] + + for tck in tickers: + leg_sector_info = sectoral_info_df[sectoral_info_df['ticker'] == tck] + if leg_sector_info.empty: + tck_info.append(('', '', '')) + else: + info_as_tuple = self._convert_to_tuple(leg_sector_info.values[0]) + tck_info.append(info_as_tuple) + + return pd.DataFrame(tck_info) + @staticmethod - def hurst(data: pd.DataFrame, max_lags: int = 100) -> int: + def hurst(data: pd.DataFrame, max_lags: int = 100) -> float: """ - Hurst Exponent Calculation + Hurst Exponent Calculation. :param data: (pd.DataFrame) Time Series that is going to be analyzed. :param max_lags: (int) Maximum amount of lags to be used calculating tau. - :return: (int) hurst exponent. + :return: (float) Hurst exponent. """ + lags = range(2, max_lags) tau = [np.sqrt(np.std(np.subtract(data[lag:], data[:-lag]))) for lag in lags] diff --git a/arbitragelab/ml_based_pairs_selection/stat_arb_utils.py b/arbitragelab/ml_approach/stat_arb_utils.py similarity index 80% rename from arbitragelab/ml_based_pairs_selection/stat_arb_utils.py rename to arbitragelab/ml_approach/stat_arb_utils.py index 4dc2c5b3..157cfa0c 100644 --- a/arbitragelab/ml_based_pairs_selection/stat_arb_utils.py +++ b/arbitragelab/ml_approach/stat_arb_utils.py @@ -1,26 +1,29 @@ +# Copyright 2019, Hudson and Thames Quantitative Research +# All rights reserved +# Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt """ This module houses utility functions used by the PairsSelector """ import pandas as pd import numpy as np - import statsmodels.api as sm from statsmodels.tsa.adfvalues import mackinnonp from statsmodels.tsa.stattools import adfuller from scipy.odr import ODR, Model, RealData -def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, cross_overs_per_delta: int, molecule: list) -> pd.DataFrame: +def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, + cross_overs_per_delta: int, molecule: list) -> pd.DataFrame: """ This function gets mean reversion calculations (half life and number of mean cross overs) for each pair in the molecule. Uses the linear regression method to get the half life, which is much lighter computationally wise compared to the version using the OrnsteinUhlenbeck class. - :param spreads_df: (pd.DataFrame) Spreads Universe - :param test_period: (str) Time delta format, to be used as the time period where the mean crossovers will be calculated - :param cross_overs_per_delta: (int) Crossovers per time delta selected - :param molecule: (list) Indices of pairs - :return: (pd.DataFrame) Mean Reversion statistics + :param spreads_df: (pd.DataFrame) Spreads Universe. + :param test_period: (str) Time delta format, to be used as the time period where the mean crossovers will be calculated. + :param cross_overs_per_delta: (int) Crossovers per time delta selected. + :param molecule: (list) Indices of pairs. + :return: (pd.DataFrame) Mean Reversion statistics. """ ou_results = [] @@ -45,7 +48,7 @@ def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, cross_overs_per_d # Example; h = np.log(2) / abs(res.params[0]) - # split the spread in two; the train_df is going to be used to get the long term mean + # Split the spread in two; The train_df is going to be used to get the long term mean # and test_df is going to be used to get the number of mean cross overs test_df = spread.last(test_period) @@ -74,10 +77,11 @@ def linear_f(beta, x_variable): # pragma: no cover """ This is the helper linear model that is going to be used in the Orthogonal Regression. - :param beta: (np.array) Model beta coefficient - :param x_variable: (np.array) Model X vector + :param beta: (np.array) Model beta coefficient. + :param x_variable: (np.array) Model X vector. :return: (np.array) """ + return beta[0]*x_variable + beta[1] def _outer_cointegration_loop(prices_df: pd.DataFrame, molecule: list) -> pd.DataFrame: @@ -85,9 +89,9 @@ def _outer_cointegration_loop(prices_df: pd.DataFrame, molecule: list) -> pd.Dat This function calculates the Engle-Granger test for each pair in the molecule. Uses the Total Least Squares approach to take into consideration the variance of both price series. - :param prices_df: (pd.DataFrame) Price Universe - :param molecule: (list) Indices of pairs - :return: (pd.DataFrame) Cointegration statistics + :param prices_df: (pd.DataFrame) Price Universe. + :param molecule: (list) Indices of pairs. + :return: (pd.DataFrame) Cointegration statistics. """ cointegration_results = [] diff --git a/arbitragelab/ml_based_pairs_selection/__init__.py b/arbitragelab/ml_based_pairs_selection/__init__.py deleted file mode 100644 index 9fcf14a7..00000000 --- a/arbitragelab/ml_based_pairs_selection/__init__.py +++ /dev/null @@ -1,7 +0,0 @@ -""" -This module implements the ML Based Pairs Selection Technique -""" - -from arbitragelab.ml_based_pairs_selection.pairs_selector import PairsSelector - -from arbitragelab.ml_based_pairs_selection.data_importer import DataImporter diff --git a/arbitragelab/tests/test_data/data.csv b/arbitragelab/tests/test_data/data.csv index 0fae1619..ad8a79f7 100644 --- a/arbitragelab/tests/test_data/data.csv +++ b/arbitragelab/tests/test_data/data.csv @@ -1,2466 +1,946 @@ 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diff --git a/arbitragelab/tests/test_data_importer.py b/arbitragelab/tests/test_data_importer.py index b564f18a..2c61c39b 100644 --- a/arbitragelab/tests/test_data_importer.py +++ b/arbitragelab/tests/test_data_importer.py @@ -9,7 +9,7 @@ import unittest import pandas as pd import numpy as np -from arbitragelab.ml_based_pairs_selection import DataImporter +from arbitragelab.util import DataImporter class TestDataImporter(unittest.TestCase): @@ -19,19 +19,20 @@ class TestDataImporter(unittest.TestCase): def setUp(self): """ - Loads price universe + Loads price universe. """ - np.random.seed(0) + np.random.seed(0) project_path = os.path.dirname(__file__) data_path = project_path + '/test_data/data.csv' - self.data = pd.read_csv( - data_path, parse_dates=True, index_col="Date").dropna() + self.data = pd.read_csv(data_path, parse_dates=True, index_col="Date") + self.data.dropna(inplace=True) def test_ticker_collectors(self): """ Tests ticker collection collectors. """ + self.assertEqual(len(DataImporter.get_sp500_tickers()), 505) self.assertEqual(len(DataImporter.get_dow_tickers()), 30) @@ -39,26 +40,30 @@ def test_preprocessing_methods(self): """ Tests preprocessing methods. """ + sample_df = pd.DataFrame(data=np.ones((200, 20))) sample_df[20] = np.nan self.assertEqual(len(DataImporter.remove_nuns(sample_df).columns), 20) - self.assertAlmostEqual(DataImporter.get_returns_data( - self.data.iloc[:, 1]).mean(), 0, places=3) + returns_mean = DataImporter.get_returns_data(self.data.iloc[:, 1]).mean() + + self.assertAlmostEqual(returns_mean, 0, places=1) def test_price_retriever(self): """ Tests asset prices retriever. """ - self.assertEqual(len(DataImporter.get_price_data( - 'GOOG', '2015-01-01', '2016-01-01', '1d')), 253) + + price_df = DataImporter.get_price_data('GOOG', '2015-01-01', '2016-01-01', '1d') + self.assertEqual(len(price_df), 253) @staticmethod def test_ticker_sector_info(): """ Tests ticker information augmentor. """ + data_importer = DataImporter() expected_result = pd.DataFrame(data=[ @@ -67,5 +72,5 @@ def test_ticker_sector_info(): ]) expected_result.columns = ['ticker', 'industry', 'sector'] - pd.testing.assert_frame_equal( - data_importer.get_ticker_sector_info(['GOOG', 'FB'], 1), expected_result) + augmented_ticker_df = data_importer.get_ticker_sector_info(['GOOG', 'FB'], 1) + pd.testing.assert_frame_equal(augmented_ticker_df, expected_result) diff --git a/arbitragelab/tests/test_indexed_highlight.py b/arbitragelab/tests/test_indexed_highlight.py new file mode 100644 index 00000000..4d9a1e01 --- /dev/null +++ b/arbitragelab/tests/test_indexed_highlight.py @@ -0,0 +1,86 @@ +# Copyright 2019, Hudson and Thames Quantitative Research +# All rights reserved +# Read more: https://github.com/hudson-and-thames/arbitragelab/blob/master/LICENSE.txt +""" +Tests functionality of Indexed Highlighter: +utils/indexed_highlight.py +""" + +import unittest +from unittest.mock import Mock + +from arbitragelab.util.indexed_highlight import IndexedHighlight + +class TestIndexedHighlight(unittest.TestCase): + """ + Tests Indexed Highlighter class. + """ + + def setUp(self): + """ + Tests Initial instantiation of the IndexedHighlighter class. + """ + + placeholder_annotation = Mock() + placeholder_annotation.xyann = [0, 0] + + artist = Mock(return_value=[]) + artist.color = "White" + artist.visible = False + artist.axes.annotate.return_value = placeholder_annotation + artist.axes.figure.canvas.callbacks.callbacks = {'button_press_event': {}} + + indexed_highlighter = IndexedHighlight([artist]) + + self.artist = artist + self.indexed_highlighter = indexed_highlighter + + def test_assigned_highlights(self): + """ + Tests size of the highlighter list. + """ + + self.assertEqual(len(self.indexed_highlighter.highlights), 1) + + def test_update_known_artist(self): + """ + Tests the update function with a known artist inside the event object. + """ + + event = Mock() + event.ind = [1] + event.artist = self.artist + event.artist.axes.xaxis.get_view_interval.return_value = [0, 0] + event.artist.axes.yaxis.get_view_interval.return_value = [0, 0] + event.mouseevent.xdata = 1 + event.mouseevent.ydata = 1 + + bbox = Mock() + bbox.corners.return_value = [] + + annotation = Mock() + annotation.get_window_extent.return_value = bbox + + self.indexed_highlighter.update(event, annotation) + self.assertTrue(isinstance(self.indexed_highlighter.highlights[0], Mock)) + + def test_update_unknown_artist(self): + """ + Tests the update function with a unknown artist inside the event object. + """ + + bbox = Mock() + bbox.corners.return_value = [] + + annotation = Mock() + annotation.get_window_extent.return_value = bbox + + new_event = Mock() + new_event.ind = [1] + new_event.artist.axes.xaxis.get_view_interval.return_value = [0, 0] + new_event.artist.axes.yaxis.get_view_interval.return_value = [0, 0] + new_event.mouseevent.xdata = 1 + new_event.mouseevent.ydata = 1 + + self.indexed_highlighter.update(new_event, annotation) + self.assertTrue(isinstance(self.indexed_highlighter.highlights[0], Mock)) diff --git a/arbitragelab/tests/test_pairs_selector.py b/arbitragelab/tests/test_pairs_selector.py index 20fb1c43..519f0b1d 100644 --- a/arbitragelab/tests/test_pairs_selector.py +++ b/arbitragelab/tests/test_pairs_selector.py @@ -9,7 +9,9 @@ import unittest import pandas as pd import numpy as np -from arbitragelab.ml_based_pairs_selection import PairsSelector +import matplotlib + +from arbitragelab.ml_approach import PairsSelector # pylint: disable=protected-access @@ -22,25 +24,30 @@ def setUp(self): """ Loads price universe and instantiates the pairs selection class. """ + np.random.seed(0) project_path = os.path.dirname(__file__) data_path = project_path + '/test_data/data.csv' - self.data = pd.read_csv( - data_path, parse_dates=True, index_col="Date").dropna() + self.data = pd.read_csv(data_path, parse_dates=True, index_col="Date") + self.data.dropna(inplace=True) self.pair_selector = PairsSelector(self.data) def test_dimensionality_reduction(self): """ Runs pca on price universe and verifies std dev for all components. """ + self.pair_selector.dimensionality_reduction_by_components(5) - expected_stds = pd.Series( - [0.008302, 0.045064, 0.045148, 0.045169, 0.045146]) + expected_stds = pd.Series([0.0181832, 0.10025142, 0.10044381, 0.100503, 0.10048]) actual_stds = self.pair_selector.feature_vector.std() - pd.testing.assert_series_equal( - expected_stds, actual_stds, check_less_precise=True) + pd.testing.assert_series_equal(expected_stds, actual_stds, check_less_precise=True) + + self.pair_selector.plot_pca_matrix() + + with self.assertRaises(Exception): + self.pair_selector.plot_clustering_info(show=False) with self.assertRaises(Exception): pair_selector = PairsSelector(None) @@ -50,6 +57,7 @@ def test_clustering(self): """ Verifies generated clusters from both techniques in the PairsSelector class. """ + with self.assertRaises(Exception): pair_selector = PairsSelector(None) pair_selector.cluster_using_optics({}) @@ -58,33 +66,31 @@ def test_clustering(self): pair_selector = PairsSelector(None) pair_selector.cluster_using_dbscan({}) - self.pair_selector.dimensionality_reduction_by_components(5) + self.pair_selector.dimensionality_reduction_by_components(2) self.pair_selector.cluster_using_optics({'min_samples': 3}) - self.assertEqual(len(np.unique(self.pair_selector.clust_labels_)), 47) + self.assertEqual(len(np.unique(self.pair_selector.clust_labels_)), 16) - self.pair_selector.cluster_using_dbscan( - {'eps': 0.03, 'min_samples': 3}) - self.assertEqual(len(np.unique(self.pair_selector.clust_labels_)), 11) + self.pair_selector.cluster_using_dbscan({'eps': 0.03, 'min_samples': 3}) + self.assertEqual(len(np.unique(self.pair_selector.clust_labels_)), 1) def test_generate_pairwise_combinations(self): """ Verifies pairs generator in the PairsSelector class. """ - self.pair_selector.dimensionality_reduction_by_components(5) + self.pair_selector.dimensionality_reduction_by_components(2) self.pair_selector.cluster_using_optics({'min_samples': 3}) - c_labels = np.unique(self.pair_selector.clust_labels_[ \ - self.pair_selector.clust_labels_ != -1]) + init_labels = self.pair_selector.clust_labels_ + c_labels = np.unique(init_labels[init_labels != -1]) - self.assertEqual(len(c_labels), 46) + self.assertEqual(len(c_labels), 15) - pair_list = self.pair_selector._generate_pairwise_combinations( - c_labels) + pair_list = self.pair_selector._generate_pairwise_combinations(c_labels) - self.assertEqual(len(pair_list), 631) + self.assertEqual(len(pair_list), 158) with self.assertRaises(Exception): self.pair_selector._generate_pairwise_combinations([]) @@ -93,18 +99,18 @@ def test_hurst_criterion(self): """ Verifies private hurst processing method. """ - self.pair_selector.dimensionality_reduction_by_components(5) + + self.pair_selector.dimensionality_reduction_by_components(2) self.pair_selector.cluster_using_optics({'min_samples': 3}) - hedge_ratios = [0.832406370860649, 0.892407527838706, 0.461344] - idx = [('AJG', 'ICE'), ('AJG', 'MMC'), ('AIG', 'LEG')] - input_pairs = pd.DataFrame(data=hedge_ratios, columns=[ \ - 'hedge_ratio'], index=idx) + hedge_ratios = [0.832406370860649, 70] + idx = [('A', 'AVB'), ('ABMD', 'AZO')] + input_pairs = pd.DataFrame(data=hedge_ratios, index=idx) + input_pairs.columns = ['hedge_ratio'] result = self.pair_selector._hurst_criterion(input_pairs) - - pd.testing.assert_series_equal( - pd.Series(idx[0:2]), pd.Series(result[1].index)) + hurst_pp = pd.Series(result[1].index) + pd.testing.assert_series_equal(pd.Series([idx[0]]), hurst_pp) with self.assertRaises(Exception): self.pair_selector._hurst_criterion([]) @@ -113,22 +119,27 @@ def test_final_criterions(self): """ Verifies private final criterions processing method. """ - self.pair_selector.dimensionality_reduction_by_components(5) + + self.pair_selector.dimensionality_reduction_by_components(2) self.pair_selector.cluster_using_optics({'min_samples': 3}) - hedge_ratios = [0.832406370860649, 0.892407527838706] - idx = [('AJG', 'ICE'), ('AJG', 'MMC')] - input_pairs = pd.DataFrame(data=hedge_ratios, columns=[ \ - 'hedge_ratio'], index=idx) - spreads_df, hurst_pass_pairs = self.pair_selector._hurst_criterion( - input_pairs) + hedge_ratios = [0.832406370860649, 70] + idx = [('A', 'AVB'), ('ABMD', 'AZO')] + input_pairs = pd.DataFrame(data=hedge_ratios, index=idx) + input_pairs.columns = ['hedge_ratio'] + + spreads_df, hurst_pass_pairs = self.pair_selector._hurst_criterion(input_pairs) hl_pairs, final_pairs = self.pair_selector._final_criterions( - spreads_df, hurst_pass_pairs.index.values) - pd.testing.assert_series_equal( - pd.Series(idx), pd.Series(hl_pairs.index)) - pd.testing.assert_series_equal( - pd.Series(idx), pd.Series(final_pairs.index)) + spreads_df, hurst_pass_pairs.index.values + ) + + hl_pairs_sr = pd.Series(hl_pairs.index) + final_pairs_sr = pd.Series(final_pairs.index) + + pd.testing.assert_series_equal(pd.Series([idx[0]]), hl_pairs_sr) + + pd.testing.assert_series_equal(pd.Series([], dtype=object), final_pairs_sr) with self.assertRaises(Exception): self.pair_selector._final_criterions([], []) @@ -137,44 +148,72 @@ def test_criterion_selector(self): """ Verifies final user exposed criterion selection method. """ - self.pair_selector.dimensionality_reduction_by_components(5) + + self.pair_selector.dimensionality_reduction_by_components(2) self.pair_selector.cluster_using_optics({'min_samples': 3}) - final_pairs = [('AJG', 'ICE'), ('AJG', 'MMC')] - coint_pairs = [('MAA', 'UDR'), ('ATO', 'XEL'), ('CCL', 'MAR')] + final_pairs = [('BA', 'CF')] + coint_pairs = [('ABMD', 'AZO'), ('AES', 'BBY'), ('BKR', 'CE')] input_pairs = final_pairs + coint_pairs - result = self.pair_selector._criterion_selection(input_pairs) + result = self.pair_selector._criterion_selection(input_pairs, pvalue_threshold=0.1) + result = pd.Series(result) + + coint_pp = self.pair_selector.coint_pass_pairs.index + coint_pp = pd.Series(coint_pp) + + pd.testing.assert_series_equal(pd.Series(final_pairs), coint_pp) + pd.testing.assert_series_equal(pd.Series(final_pairs), result) - pd.testing.assert_series_equal(pd.Series(final_pairs), pd.Series( - self.pair_selector.coint_pass_pairs.index)) - pd.testing.assert_series_equal( - pd.Series(final_pairs), pd.Series(result)) + def test_unsupervised_candidate_pair_selector(self): + """ + Tests the parent candidate pair selection method. + """ + + with self.assertRaises(Exception): + self.pair_selector.clust_labels_ = [] + self.pair_selector.unsupervised_candidate_pair_selector() + + self.pair_selector.dimensionality_reduction_by_components(2) + self.pair_selector.clust_labels_ = np.array([ + -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, + -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, + -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, + -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, + -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, + -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 + ]) + self.pair_selector.unsupervised_candidate_pair_selector() + self.pair_selector.plot_selected_pairs() def test_description_methods(self): """ Tests the various pair description methods. """ - self.assertEqual(type(self.pair_selector.describe()), pd.DataFrame) - self.assertEqual( - type(self.pair_selector.describe_extra()), pd.DataFrame) - sectoral_description = self.pair_selector.describe_pairs_sectoral_info(['AJG'], ['ICE'], \ - pd.DataFrame(columns=['ticker', 'sector', 'industry'])) - self.assertEqual(type(sectoral_description), pd.DataFrame) + intro_descr = self.pair_selector.describe() + self.assertEqual(type(intro_descr), pd.DataFrame) + + extended_descr = self.pair_selector.describe_extra() + self.assertEqual(type(extended_descr), pd.DataFrame) + + empty_sectoral_df = pd.DataFrame(columns=['ticker', 'sector', 'industry']) + empty_sectoral_descr = self.pair_selector.describe_pairs_sectoral_info(['AJG'], ['ICE'], empty_sectoral_df) + self.assertEqual(type(empty_sectoral_descr), pd.DataFrame) sector_info = pd.DataFrame(data=[ ('AJG', 'sector', 'industry'), ('ICE', 'sector', 'industry') ]) sector_info.columns = ['ticker', 'sector', 'industry'] - self.assertEqual(type(self.pair_selector.describe_pairs_sectoral_info( - ['AJG'], ['ICE'], sector_info)), pd.DataFrame) + full_sectoral_descr = self.pair_selector.describe_pairs_sectoral_info(['AJG'], ['ICE'], sector_info) + self.assertEqual(type(full_sectoral_descr), pd.DataFrame) def test_manual_methods(self): """ Tests the pair generator that uses user inputted category based clusters. """ + sector_info = pd.DataFrame(data=[ ('AJG', 'sector'), ('ICE', 'sector'), @@ -182,5 +221,31 @@ def test_manual_methods(self): ]) sector_info.columns = ['ticker', 'sector'] - self.assertEqual( - len(self.pair_selector.get_pairs_by_sector(sector_info)), 1) + pairs_df = self.pair_selector.get_pairs_by_sector(sector_info) + self.assertEqual(len(pairs_df), 1) + + def test_plotting_methods(self): + """ + Tests all plotting methods. + """ + + with self.assertRaises(Exception): + self.pair_selector.plot_selected_pairs() + + with self.assertRaises(Exception): + self.pair_selector.plot_clustering_info(show=False) + + self.pair_selector.dimensionality_reduction_by_components(1) + self.pair_selector.cluster_using_optics({'min_samples': 3}) + + knee_plot_pyplot_obj = self.pair_selector.plot_knee_plot() + self.assertTrue(issubclass(type(knee_plot_pyplot_obj), matplotlib.axes.SubplotBase)) + + twod_pyplot_obj = self.pair_selector.plot_clustering_info(n_dimensions=2, show=False) + self.assertTrue(issubclass(type(twod_pyplot_obj), matplotlib.axes.SubplotBase)) + + threed_pyplot_obj = self.pair_selector.plot_clustering_info(n_dimensions=3, show=False) + self.assertTrue(issubclass(type(threed_pyplot_obj), matplotlib.axes.SubplotBase)) + + with self.assertRaises(Exception): + self.pair_selector.plot_clustering_info(n_dimensions=10, show=False) diff --git a/arbitragelab/util/__init__.py b/arbitragelab/util/__init__.py index 0722cb4c..9c29644f 100644 --- a/arbitragelab/util/__init__.py +++ b/arbitragelab/util/__init__.py @@ -1,3 +1,9 @@ +# Copyright 2019, Hudson and Thames Quantitative Research +# All rights reserved +# Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt """ Utility functions. """ + +from arbitragelab.util.data_importer import DataImporter +from arbitragelab.util.indexed_highlight import IndexedHighlight diff --git a/arbitragelab/ml_based_pairs_selection/data_importer.py b/arbitragelab/util/data_importer.py similarity index 61% rename from arbitragelab/ml_based_pairs_selection/data_importer.py rename to arbitragelab/util/data_importer.py index 537cd840..f0e1998b 100644 --- a/arbitragelab/ml_based_pairs_selection/data_importer.py +++ b/arbitragelab/util/data_importer.py @@ -1,13 +1,14 @@ +# Copyright 2019, Hudson and Thames Quantitative Research +# All rights reserved +# Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt """ -This module is a user data helper wrapping various yahoo finance libraries +This module is a user data helper wrapping various yahoo finance libraries. """ import pandas as pd - import yfinance as yf import yahoo_fin.stock_info as ys - class DataImporter: """ Wrapper class that imports data from yfinance and yahoo_fin. @@ -18,8 +19,9 @@ def get_sp500_tickers() -> list: """ Gets all S&P 500 stock tickers. - :return tickers: (list) : list of tickers + :return: (list) List of tickers. """ + tickers_sp500 = ys.tickers_sp500() return tickers_sp500 @@ -29,8 +31,9 @@ def get_dow_tickers() -> list: """ Gets all DOW stock tickers. - :return tickers: (list) : list of tickers + :return: (list) List of tickers. """ + tickers_dow = ys.tickers_dow() return tickers_dow @@ -40,36 +43,34 @@ def remove_nuns(dataframe: pd.DataFrame, threshold: int = 100) -> pd.DataFrame: """ Remove tickers with nulls in value over a threshold. - :param dataframe: (pd.DataFrame) : Asset price data - :param threshold: (int) : The number of null values allowed - :return dataframe: (pd.DataFrame) : Price Data without any null values. + :param dataframe: (pd.DataFrame) Asset price data. + :param threshold: (int) The number of null values allowed. + :return dataframe: (pd.DataFrame) Price Data without any null values. """ + null_sum_each_ticker = dataframe.isnull().sum() - tickers_under_threshold = \ - null_sum_each_ticker[null_sum_each_ticker <= threshold].index + tickers_passing = null_sum_each_ticker[null_sum_each_ticker <= threshold] + tickers_under_threshold = tickers_passing.index dataframe = dataframe[tickers_under_threshold] return dataframe @staticmethod - def get_price_data(tickers: list, - start_date: str, - end_date: str, + def get_price_data(tickers: list, start_date: str, end_date: str, interval: str = '5m') -> pd.DataFrame: """ Get the price data with custom start and end date and interval. For daily price, only keep the closing price. - :param tickers: (list) : List of tickers to download - :param start_date: (str) : Download start date string (YYYY-MM-DD) - :param end_date: (str) : Download end date string (YYYY-MM-DD) - :param interval: (str) : Valid intervals: 1m,2m,5m,15m,30m,60m,90m,1h,1d,5d,1wk,1mo,3mo - :return price_data: (pd.DataFrame) : The requested price_data. + :param tickers: (list) List of tickers to download. + :param start_date: (str) Download start date string (YYYY-MM-DD). + :param end_date: (str) Download end date string (YYYY-MM-DD). + :param interval: (str) Valid intervals: 1m,2m,5m,15m,30m,60m,90m,1h,1d,5d,1wk,1mo,3mo. + :return: (pd.DataFrame) The requested price_data. """ - price_data = yf.download(tickers, - start=start_date, end=end_date, - interval=interval, - group_by='column')['Close'] + + price_data = yf.download(tickers, start=start_date, end=end_date, + interval=interval, group_by='column')['Close'] return price_data @@ -78,9 +79,10 @@ def get_returns_data(price_data: pd.DataFrame) -> pd.DataFrame: """ Calculate return data with custom start and end date and interval. - :param price_data: (pd.DataFrame) : Asset price data - :return returns_df: (pd.DataFrame) : Price Data converted to returns. + :param price_data: (pd.DataFrame) Asset price data. + :return: (pd.DataFrame) Price Data converted to returns. """ + returns_data = price_data.pct_change() returns_data = returns_data.iloc[1:] @@ -91,17 +93,16 @@ def get_ticker_sector_info(self, tickers: list, yf_call_chunk: int = 20) -> pd.D This method will loop through all the tickers, using the yfinance library do a ticker info request and retrieve back 'sector' and 'industry' information. - :param tickers: (list) : List of asset symbols - :param yf_call_chunk: (int) : Ticker values allowed per 'Tickers' object. This should always be less than 200. - :return augmented_tickers: (pd.DataFrame) : DataFrame with input asset tickers and their respective sector and industry information + :param tickers: (list) List of asset symbols. + :param yf_call_chunk: (int) Ticker values allowed per 'Tickers' object. This should always be less than 200. + :return: (pd.DataFrame) DataFrame with input asset tickers and their respective sector and industry information. """ if len(tickers) > yf_call_chunk: ticker_sector_queue = [] for i in range(0, len(tickers), yf_call_chunk): end = i+yf_call_chunk if i <= len(tickers) else len(tickers) - ticker_sector_queue.append( - self.get_ticker_sector_info(tickers[i: end])) + ticker_sector_queue.append(self.get_ticker_sector_info(tickers[i: end])) return pd.concat(ticker_sector_queue, axis=0).reset_index(drop=True) tckrs = yf.Tickers(' '.join(tickers)) diff --git a/arbitragelab/util/indexed_highlight.py b/arbitragelab/util/indexed_highlight.py index 5b97da3f..2ed6d0f4 100644 --- a/arbitragelab/util/indexed_highlight.py +++ b/arbitragelab/util/indexed_highlight.py @@ -1,11 +1,15 @@ +# Copyright 2019, Hudson and Thames Quantitative Research +# All rights reserved +# Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt """ -This module houses the extension HighlightingDataCursor class to support cluster by cluster highlighting. +This module houses the extension HighlightingDataCursor class to support cluster +by cluster highlighting. """ import matplotlib.pyplot as plt from mpldatacursor import DataCursor, HighlightingDataCursor -class IndexedHighlight(HighlightingDataCursor): # pragma: no cover +class IndexedHighlight(HighlightingDataCursor): """ This class extends HighlightingDataCursor to add support for highlighting of cluster groups. From 68171b255811d67437115743edde053347654ed8 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Wed, 11 Nov 2020 17:35:02 +0100 Subject: [PATCH 04/29] Fixed doc style issues; still have the research notebook link --- docs/source/index.rst | 4 +-- .../images/3d_cluster_optics_plot.png | Bin .../images/knee_plot.png | Bin .../images/pairs_selection_rules_diagram.png | Bin .../images/prposed_framework_diagram.png | Bin .../ml_based_pairs_selection.rst} | 33 ++++++++---------- 6 files changed, 16 insertions(+), 21 deletions(-) rename docs/source/{ml_based_pairs_selection => ml_approach}/images/3d_cluster_optics_plot.png (100%) rename docs/source/{ml_based_pairs_selection => ml_approach}/images/knee_plot.png (100%) rename docs/source/{ml_based_pairs_selection => ml_approach}/images/pairs_selection_rules_diagram.png (100%) rename docs/source/{ml_based_pairs_selection => ml_approach}/images/prposed_framework_diagram.png (100%) rename docs/source/{ml_based_pairs_selection/framework.rst => ml_approach/ml_based_pairs_selection.rst} (83%) diff --git a/docs/source/index.rst b/docs/source/index.rst index 20faa6fa..6b714fb9 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -103,10 +103,10 @@ This project is licensed under an all rights reserved licence. .. toctree:: :maxdepth: 2 - :caption: ML Based Pairs Selection + :caption: ML Approach :hidden: - ml_based_pairs_selection/framework + ml_approach/ml_based_pairs_selection .. toctree:: diff --git a/docs/source/ml_based_pairs_selection/images/3d_cluster_optics_plot.png b/docs/source/ml_approach/images/3d_cluster_optics_plot.png similarity index 100% rename from docs/source/ml_based_pairs_selection/images/3d_cluster_optics_plot.png rename to docs/source/ml_approach/images/3d_cluster_optics_plot.png diff --git a/docs/source/ml_based_pairs_selection/images/knee_plot.png b/docs/source/ml_approach/images/knee_plot.png similarity index 100% rename from docs/source/ml_based_pairs_selection/images/knee_plot.png rename to docs/source/ml_approach/images/knee_plot.png diff --git a/docs/source/ml_based_pairs_selection/images/pairs_selection_rules_diagram.png b/docs/source/ml_approach/images/pairs_selection_rules_diagram.png similarity index 100% rename from docs/source/ml_based_pairs_selection/images/pairs_selection_rules_diagram.png rename to docs/source/ml_approach/images/pairs_selection_rules_diagram.png diff --git a/docs/source/ml_based_pairs_selection/images/prposed_framework_diagram.png b/docs/source/ml_approach/images/prposed_framework_diagram.png similarity index 100% rename from docs/source/ml_based_pairs_selection/images/prposed_framework_diagram.png rename to docs/source/ml_approach/images/prposed_framework_diagram.png diff --git a/docs/source/ml_based_pairs_selection/framework.rst b/docs/source/ml_approach/ml_based_pairs_selection.rst similarity index 83% rename from docs/source/ml_based_pairs_selection/framework.rst rename to docs/source/ml_approach/ml_based_pairs_selection.rst index f94a72d2..c61883a3 100644 --- a/docs/source/ml_based_pairs_selection/framework.rst +++ b/docs/source/ml_approach/ml_based_pairs_selection.rst @@ -1,4 +1,4 @@ -.. _ml_based_pairs_selection-framework: +.. _ml_approach-ml_based_pairs_selection: .. note:: The following documentation closely follows a book by Simão Moraes Sarmento and Nuno Horta: @@ -16,14 +16,13 @@ Proposed Pairs Selection Framework ################################## .. figure:: images/prposed_framework_diagram.png - :scale: 80 % :align: center Framework diagram from `A Machine Learning based Pairs Trading Investment Strategy `__. by Simão Moraes Sarmento and Nuno Horta. Dimensionality Reduction -************************ +######################## The main objectives in this step are; - Extracting common underlying risk factors from securities returns @@ -39,18 +38,16 @@ This term is introduced by `Bellman (1966) `__, the effect starts to be severe for dimensions greater than 15. Taking this into consideration, the number of PCA dimensions is upper bounded at this value and is chosen empirically. Implementation -============== +************** -.. py:currentmodule:: mlfinlab.statistical_arbitrage.pairs_selector.PairsSelector +.. py:currentmodule:: arbitragelab.ml_approach.PairsSelector .. autofunction:: dimensionality_reduction_by_components .. autofunction:: plot_pca_matrix Unsupervised Learning -********************* -The main objective in this step is; - -- To identify the optimal cluster structure from the compact representation previously generated, prioritizing the following constraints; +##################### +The main objective in this step is to identify the optimal cluster structure from the compact representation previously generated, prioritizing the following constraints; - No need to specify the number of clusters in advance - No need to group all securities @@ -61,20 +58,18 @@ The first method is to use the OPTICS clustering algorithm and letting the built The second method is to use the DBSCAN clustering algorithm. This is to be used when the user has domain specific knowledge that can enhance the results given the algorithm's parameter sensitivity. A possible approach to finding :math:`\epsilon` described in `Rahmah N, Sitanggang S (2016) `__ is to inspect the knee plot and fix a suitable :math:`\epsilon` by observing the global curve turning point. .. figure:: images/knee_plot.png - :scale: 80 % :align: center An example plot of the k-distance 'knee' graph .. figure:: images/3d_cluster_optics_plot.png - :scale: 80 % :align: center 3D plot of the clustering result using the OPTICS method. Implementation -============== +************** .. autofunction:: cluster_using_optics .. autofunction:: cluster_using_dbscan @@ -82,10 +77,9 @@ Implementation .. autofunction:: plot_knee_plot Select Pairs -************ +############ .. figure:: images/pairs_selection_rules_diagram.png - :scale: 80 % :align: center The rules selection flow diagram from `A Machine Learning based Pairs Trading Investment Strategy `__. @@ -98,7 +92,9 @@ The rules that each pair needs to pass are; - The pair’s spread diverges and converges within convenient periods. - The pair’s spread reverts to the mean with enough frequency. -To test for cointegration, the framework proposes the application of the Engle-Granger test, due to its simplicity. One critic `Armstrong (2001) `__ points at the Engle-Granger test sensitivity to the ordering of variables. It is a possibility that one of the relationships will be cointegrated, while the other will not. This is troublesome because we would expect that if the variables are truly cointegrated the two equations will yield the same conclusion. To mitigate this issue, the original paper proposes that the Engle-Granger test is run for the two possible selections of the dependent variable and that the combination that generated the lowest t-statistic is selected. Further work in `Hoel (2013) `__ adds on, "the unsymmetrical coefficients imply that a hedge of long / short is not the opposite of long / short , i.e. the hedge ratios are inconsistent". A better solution is proposed and implemented, based on `Gregory et al. (2011) `__ to use orthogonal regression – also referred to as Total Least Squares (TLS) – in which the residuals of both dependent and independent variables are taken into account. That way, we incorporate the volatility of both legs of the spread when estimating the relationship so that hedge ratios are consistent, and thus the cointegration estimates will be unaffected by the ordering of variables. +To test for cointegration, the framework proposes the application of the Engle-Granger test, due to its simplicity. One critic `Armstrong (2001) `__ points at the Engle-Granger test sensitivity to the ordering of variables. It is a possibility that one of the relationships will be cointegrated, while the other will not. This is troublesome because we would expect that if the variables are truly cointegrated the two equations will yield the same conclusion. +To mitigate this issue, the original paper proposes that the Engle-Granger test is run for the two possible selections of the dependent variable and that the combination that generated the lowest t-statistic is selected. Further work in `Hoel (2013) `__ adds on, "the unsymmetrical coefficients imply that a hedge of long / short is not the opposite of long / short , i.e. the hedge ratios are inconsistent". +A better solution is proposed and implemented, based on `Gregory et al. (2011) `__ to use orthogonal regression – also referred to as Total Least Squares (TLS) – in which the residuals of both dependent and independent variables are taken into account. That way, we incorporate the volatility of both legs of the spread when estimating the relationship so that hedge ratios are consistent, and thus the cointegration estimates will be unaffected by the ordering of variables. Secondly, an additional validation step is also implemented to provide more confidence in the mean-reversion character of the pairs’ spread. The condition imposed is that the Hurst exponent associated with the spread of a given pair is enforced to be smaller than 0.5, assuring the process leans towards mean-reversion. @@ -107,11 +103,10 @@ In third place, the pair's spread movement is constrained using the half life of Lastly, we enforce that every spread crosses its mean at least once per month, to provide enough liquidity and thus providing enough opportunities to exit a position. Implementation -============== +************** .. autofunction:: get_pairs_by_sector .. autofunction:: unsupervised_candidate_pair_selector -.. autofunction:: manual_candidate_pair_selector .. autofunction:: plot_selected_pairs Following methods describe the results of the selector in various ways. @@ -122,14 +117,14 @@ Following methods describe the results of the selector in various ways. Examples -******** +######## .. code-block:: # Importing packages import pandas as pd import numpy as np - from mlfinlab.statistical_arbitrage.pairs_selector import PairsSelector + from arbitragelab.ml_approach import PairsSelector # Getting the dataframe with time series of asset returns data = pd.read_csv('X_FILE_PATH.csv', index_col=0, parse_dates = [0]) From c65baf8613c9f4fcbb260f9cb50e25540b07715a Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Wed, 11 Nov 2020 18:00:08 +0100 Subject: [PATCH 05/29] Added some spacings in the doc strings --- arbitragelab/ml_approach/pairs_selector.py | 49 ++++++++++++++-------- 1 file changed, 32 insertions(+), 17 deletions(-) diff --git a/arbitragelab/ml_approach/pairs_selector.py b/arbitragelab/ml_approach/pairs_selector.py index d994d627..5c488b59 100644 --- a/arbitragelab/ml_approach/pairs_selector.py +++ b/arbitragelab/ml_approach/pairs_selector.py @@ -23,8 +23,9 @@ class PairsSelector: """ - Implementation of the Proposed Pairs Selection Framework in the following paper. The - method consists of three parts; dimensionality reduction, clustering of features and + Implementation of the Proposed Pairs Selection Framework in the following paper. + + The method consists of three parts; dimensionality reduction, clustering of features and finally the selection of pairs with the use of a set of heuristics. """ @@ -50,9 +51,11 @@ def __init__(self, universe: pd.DataFrame): def dimensionality_reduction_by_components(self, num_features: int = 10): """ - Processes and scales the prices universe supplied in the constructor, into returns. Then reduces the resulting - data using pca down to the amount of dimensions needed to be used as a feature vector in the clustering step. - Optimal ranges for the dimensions required in the feature vector should be <15. + Processes and scales the prices universe supplied in the constructor, into returns. + + Then reduces the resulting data using pca down to the amount of dimensions needed + to be used as a feature vector in the clustering step. Optimal ranges for the dimensions + required in the feature vector should be <15. :param num_features: (int) Used to select pca n_components to be used in the feature vector. """ @@ -104,7 +107,9 @@ def plot_pca_matrix(self) -> list: def cluster_using_optics(self, args: dict): """ - Second step of the framework; Doing Unsupervised Learning on the feature vector supplied from the first step. + Second step of the framework; + + Doing Unsupervised Learning on the feature vector supplied from the first step. The clustering method used is OPTICS, chosen mainly for it being basically parameterless. :param args: (dict) Arguments to be passed to the clustering algorithm. @@ -120,9 +125,11 @@ def cluster_using_optics(self, args: dict): def cluster_using_dbscan(self, args: dict): """ - Second step of the framework; Doing Unsupervised Learning on the feature vector supplied from the first step. - The second clustering method used is DBSCAN, for when the user needs a more hands on approach to doing the - clustering step, given the parameter sensitivity of this method. + Second step of the framework; + + Doing Unsupervised Learning on the feature vector supplied from the first step. The + second clustering method used is DBSCAN, for when the user needs a more hands on approach + to doing the clustering step, given the parameter sensitivity of this method. :param args: (dict) Arguments to be passed to the clustering algorithm. """ @@ -263,6 +270,7 @@ def plot_2d_scatter_plot(self, fig: Figure, tsne_df: pd.DataFrame, no_of_classes def plot_knee_plot(self) -> Axes: """ This method will plot the k-distance graph, ordered from the largest to the smallest value. + The values where this plot shows an "elbow" should be a reference to the user of the optimal ε parameter to be used for the DBSCAN clustering method. @@ -409,10 +417,12 @@ def _final_criterions(spreads_df: pd.DataFrame, pairs: list, def unsupervised_candidate_pair_selector(self, pvalue_threshold: int = 0.01, hurst_exp_threshold: int = 0.5, min_crossover_threshold_per_year: int = 12) -> list: """ - Third step of the framework; The clusters found in step two are used to generate a list of possible pairwise - combinations. The combinations generated are then checked to see if they comply with the criteria supplied in the - paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves within convenient periods and - finally that the spread reverts to the mean with enough frequency. + Third step of the framework; + + The clusters found in step two are used to generate a list of possible pairwise combinations. + The combinations generated are then checked to see if they comply with the criteria supplied + in the paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves + within convenient periods and finally that the spread reverts to the mean with enough frequency. :param pvalue_threshold: (int) Max p-value threshold to be used in the cointegration tests. :param hurst_exp_threshold: (int) Max hurst threshold value. @@ -437,10 +447,12 @@ def unsupervised_candidate_pair_selector(self, pvalue_threshold: int = 0.01, hur def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalue_threshold: int = 0.01, hurst_exp_threshold: int = 0.5, min_crossover_threshold_per_year: int = 12) -> list: """ - Third step of the framework; The clusters found in step two are used to generate a list of possible pairwise - combinations. The combinations generated are then checked to see if they comply with the criteria supplied in the - paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves within convenient periods and - finally that the spread reverts to the mean with enough frequency. + Third step of the framework; + + The clusters found in step two are used to generate a list of possible pairwise combinations. + The combinations generated are then checked to see if they comply with the criteria supplied + in the paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves + within convenient periods and finally that the spread reverts to the mean with enough frequency. :param cluster_x_cointegration_combinations: (list) List of asset pairs. :param pvalue_threshold: (int) Max p-value threshold to be used in the cointegration tests. @@ -511,6 +523,7 @@ def plot_selected_pairs(self) -> list: def describe(self) -> pd.DataFrame: """ Returns the Pairs Selector Summary statistics. + The following statistics are included - the number of clusters, total possible pair combinations, the number of pairs that passed the cointegration threshold, the number of pairs that passed the hurst exponent threshold, the number of pairs that passed the half life threshold and the number @@ -537,6 +550,7 @@ def describe(self) -> pd.DataFrame: def describe_extra(self) -> pd.DataFrame: """ Returns information on each pair selected. + The following statistics are included - both legs of the pair, cointegration (t-value, p-value, hedge_ratio), hurst_exponent, half_life, no_mean_crossovers. @@ -564,6 +578,7 @@ def describe_pairs_sectoral_info(self, leg_1: list, leg_2: list, sectoral_info_df: pd.DataFrame) -> pd.DataFrame: """ Returns information on each pair selected. + The following statistics are included - both legs of the pair, cointegration (t-value, p-value, hedge_ratio), hurst_exponent, half_life, no_mean_crossovers. From c24e82ea11f195af25b06992915fa1e4cce6b217 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Wed, 11 Nov 2020 19:41:05 +0100 Subject: [PATCH 06/29] More styling fixes and refactor of get_ticker_sector_info method in the Data Importer Class --- arbitragelab/ml_approach/pairs_selector.py | 11 +++--- arbitragelab/tests/test_pairs_selector.py | 4 ++ arbitragelab/util/data_importer.py | 45 +++++++++++++++------- 3 files changed, 40 insertions(+), 20 deletions(-) diff --git a/arbitragelab/ml_approach/pairs_selector.py b/arbitragelab/ml_approach/pairs_selector.py index 5c488b59..7d205ae2 100644 --- a/arbitragelab/ml_approach/pairs_selector.py +++ b/arbitragelab/ml_approach/pairs_selector.py @@ -51,7 +51,7 @@ def __init__(self, universe: pd.DataFrame): def dimensionality_reduction_by_components(self, num_features: int = 10): """ - Processes and scales the prices universe supplied in the constructor, into returns. + Processes and scales the prices universe supplied in the constructor, into returns. Then reduces the resulting data using pca down to the amount of dimensions needed to be used as a feature vector in the clustering step. Optimal ranges for the dimensions @@ -418,7 +418,7 @@ def unsupervised_candidate_pair_selector(self, pvalue_threshold: int = 0.01, hur min_crossover_threshold_per_year: int = 12) -> list: """ Third step of the framework; - + The clusters found in step two are used to generate a list of possible pairwise combinations. The combinations generated are then checked to see if they comply with the criteria supplied in the paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves @@ -448,7 +448,7 @@ def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalu hurst_exp_threshold: int = 0.5, min_crossover_threshold_per_year: int = 12) -> list: """ Third step of the framework; - + The clusters found in step two are used to generate a list of possible pairwise combinations. The combinations generated are then checked to see if they comply with the criteria supplied in the paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves @@ -507,10 +507,9 @@ def plot_selected_pairs(self) -> list: raise Exception("The needed pairs have not been computed yet.", "Please run criterion_selector() before this method.") - _, axs = plt.subplots(len(self.final_pairs), squeeze=False, - figsize=(15, 3 * len(self.final_pairs))) + _, axs = plt.subplots(len(self.final_pairs), figsize=(15, 3 * len(self.final_pairs))) - for ax_object, frame in zip(axs[0], self.final_pairs.index.values): + for ax_object, frame in zip(axs, self.final_pairs.index.values): rets_asset_one = np.log(self.prices_df.loc[:, frame[0]]).diff() rets_asset_two = np.log(self.prices_df.loc[:, frame[1]]).diff() diff --git a/arbitragelab/tests/test_pairs_selector.py b/arbitragelab/tests/test_pairs_selector.py index 519f0b1d..79927a25 100644 --- a/arbitragelab/tests/test_pairs_selector.py +++ b/arbitragelab/tests/test_pairs_selector.py @@ -184,6 +184,10 @@ def test_unsupervised_candidate_pair_selector(self): -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]) self.pair_selector.unsupervised_candidate_pair_selector() + + final_pairs = pd.DataFrame(index=[('ABMD', 'AZO'), ('AES', 'BBY'), ('BKR', 'CE')]) + + self.pair_selector.final_pairs = final_pairs self.pair_selector.plot_selected_pairs() def test_description_methods(self): diff --git a/arbitragelab/util/data_importer.py b/arbitragelab/util/data_importer.py index f0e1998b..cd016c14 100644 --- a/arbitragelab/util/data_importer.py +++ b/arbitragelab/util/data_importer.py @@ -12,6 +12,11 @@ class DataImporter: """ Wrapper class that imports data from yfinance and yahoo_fin. + + This class allows for fast pulling/mangling of information needed + for the research process. These would include; ticker groups of + various indexes, pulling of relevant pricing data and processing + said data. """ @staticmethod @@ -93,30 +98,42 @@ def get_ticker_sector_info(self, tickers: list, yf_call_chunk: int = 20) -> pd.D This method will loop through all the tickers, using the yfinance library do a ticker info request and retrieve back 'sector' and 'industry' information. + This method uses the yfinance 'Tickers' object which has a limit of the amount of + tickers supplied as a string argument. To go around this, this method uses the + chunking approach, where the supplied ticker list is broken down into small chunks + and supplied sequentially to the helper function. + :param tickers: (list) List of asset symbols. :param yf_call_chunk: (int) Ticker values allowed per 'Tickers' object. This should always be less than 200. :return: (pd.DataFrame) DataFrame with input asset tickers and their respective sector and industry information. """ - if len(tickers) > yf_call_chunk: - ticker_sector_queue = [] - for i in range(0, len(tickers), yf_call_chunk): - end = i+yf_call_chunk if i <= len(tickers) else len(tickers) - ticker_sector_queue.append(self.get_ticker_sector_info(tickers[i: end])) - return pd.concat(ticker_sector_queue, axis=0).reset_index(drop=True) + ticker_sector_queue = [] + + for i in range(0, len(tickers), yf_call_chunk): + + end = i+yf_call_chunk if i <= len(tickers) else len(tickers) + + ticker_sector_queue.append(self._sector_info_helper(tickers[i: end])) + + return pd.concat(ticker_sector_queue, axis=0).reset_index(drop=True) + + @staticmethod + def _sector_info_helper(tickers: list) -> pd.DataFrame: + """ + Helper method to supply chunked sector info to the main method. + + :param tickers: (list) List of asset symbols. + :return: (pd.DataFrame) DataFrame with input asset tickers and their respective sector and industry information. + """ tckrs = yf.Tickers(' '.join(tickers)) tckr_info = [] for i, tckr in enumerate(tickers): - try: - ticker_info = tckrs.tickers[i].info - tckr_info.append( - (tckr, ticker_info['industry'], ticker_info['sector'])) - except ValueError: # pragma: no cover # can only happen if the server sends back corrupted data - pass - except RuntimeError: # pragma: no cover # can only happen if server is down - pass + ticker_info = tckrs.tickers[i].info + tckr_tuple = (tckr, ticker_info['industry'], ticker_info['sector']) + tckr_info.append(tckr_tuple) return pd.DataFrame(data=tckr_info, columns=['ticker', 'industry', 'sector']) From c4b09848effc8c44448c1ff2c80aacf413171b3a Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Thu, 12 Nov 2020 13:25:21 +0100 Subject: [PATCH 07/29] Added some more comments --- arbitragelab/tests/test_pairs_selector.py | 55 ++++++++++++++++++++--- arbitragelab/util/data_importer.py | 4 ++ 2 files changed, 53 insertions(+), 6 deletions(-) diff --git a/arbitragelab/tests/test_pairs_selector.py b/arbitragelab/tests/test_pairs_selector.py index 79927a25..cb4e4b17 100644 --- a/arbitragelab/tests/test_pairs_selector.py +++ b/arbitragelab/tests/test_pairs_selector.py @@ -42,13 +42,19 @@ def test_dimensionality_reduction(self): expected_stds = pd.Series([0.0181832, 0.10025142, 0.10044381, 0.100503, 0.10048]) actual_stds = self.pair_selector.feature_vector.std() + + # Check pca reduced dataset components standard deviations. pd.testing.assert_series_equal(expected_stds, actual_stds, check_less_precise=True) - self.pair_selector.plot_pca_matrix() + # Test if plotting function returns axes objects. + pca_plot_obj = self.pair_selector.plot_pca_matrix() + self.assertTrue(type(pca_plot_obj), list) + # Test clustering plot before generating any clusters. with self.assertRaises(Exception): self.pair_selector.plot_clustering_info(show=False) + # Test dimensionality reduction when inputting invalid data. with self.assertRaises(Exception): pair_selector = PairsSelector(None) pair_selector.dimensionality_reduction_by_components(15) @@ -58,16 +64,20 @@ def test_clustering(self): Verifies generated clusters from both techniques in the PairsSelector class. """ + # Test Optics clustering without any price data. with self.assertRaises(Exception): pair_selector = PairsSelector(None) pair_selector.cluster_using_optics({}) + # Test Dbscan clustering without any price data. with self.assertRaises(Exception): pair_selector = PairsSelector(None) pair_selector.cluster_using_dbscan({}) self.pair_selector.dimensionality_reduction_by_components(2) + # Test number of generate clusters from the methods offered. + self.pair_selector.cluster_using_optics({'min_samples': 3}) self.assertEqual(len(np.unique(self.pair_selector.clust_labels_)), 16) @@ -79,19 +89,21 @@ def test_generate_pairwise_combinations(self): Verifies pairs generator in the PairsSelector class. """ + # Setup initial variables needed for the test. self.pair_selector.dimensionality_reduction_by_components(2) - self.pair_selector.cluster_using_optics({'min_samples': 3}) init_labels = self.pair_selector.clust_labels_ c_labels = np.unique(init_labels[init_labels != -1]) + # Check number of unique cluster generated. self.assertEqual(len(c_labels), 15) + # Check number of pairwise combinations using cluster data. pair_list = self.pair_selector._generate_pairwise_combinations(c_labels) - self.assertEqual(len(pair_list), 158) + # Try to generate combinations without valid input data. with self.assertRaises(Exception): self.pair_selector._generate_pairwise_combinations([]) @@ -100,9 +112,11 @@ def test_hurst_criterion(self): Verifies private hurst processing method. """ + # Setup initial variables needed for the test. self.pair_selector.dimensionality_reduction_by_components(2) self.pair_selector.cluster_using_optics({'min_samples': 3}) + # Setup needed information to validate the hurst criterion return. hedge_ratios = [0.832406370860649, 70] idx = [('A', 'AVB'), ('ABMD', 'AZO')] input_pairs = pd.DataFrame(data=hedge_ratios, index=idx) @@ -112,6 +126,7 @@ def test_hurst_criterion(self): hurst_pp = pd.Series(result[1].index) pd.testing.assert_series_equal(pd.Series([idx[0]]), hurst_pp) + # Test the hurst criterion with invalid input data. with self.assertRaises(Exception): self.pair_selector._hurst_criterion([]) @@ -120,6 +135,7 @@ def test_final_criterions(self): Verifies private final criterions processing method. """ + # Setup initial variables needed for the test. self.pair_selector.dimensionality_reduction_by_components(2) self.pair_selector.cluster_using_optics({'min_samples': 3}) @@ -128,6 +144,7 @@ def test_final_criterions(self): input_pairs = pd.DataFrame(data=hedge_ratios, index=idx) input_pairs.columns = ['hedge_ratio'] + # Generate the inputs needed for the final criterions method test. spreads_df, hurst_pass_pairs = self.pair_selector._hurst_criterion(input_pairs) hl_pairs, final_pairs = self.pair_selector._final_criterions( @@ -137,10 +154,13 @@ def test_final_criterions(self): hl_pairs_sr = pd.Series(hl_pairs.index) final_pairs_sr = pd.Series(final_pairs.index) + # Check that the first pair passes the Half Life Test. pd.testing.assert_series_equal(pd.Series([idx[0]]), hl_pairs_sr) + # Check that no pairs pass through to the final list. pd.testing.assert_series_equal(pd.Series([], dtype=object), final_pairs_sr) + # Test final criterions method using invalid data. with self.assertRaises(Exception): self.pair_selector._final_criterions([], []) @@ -149,6 +169,7 @@ def test_criterion_selector(self): Verifies final user exposed criterion selection method. """ + # Setup initial variables needed for the test. self.pair_selector.dimensionality_reduction_by_components(2) self.pair_selector.cluster_using_optics({'min_samples': 3}) @@ -162,6 +183,7 @@ def test_criterion_selector(self): coint_pp = self.pair_selector.coint_pass_pairs.index coint_pp = pd.Series(coint_pp) + # Assert that only the first pair passes through all the tests. pd.testing.assert_series_equal(pd.Series(final_pairs), coint_pp) pd.testing.assert_series_equal(pd.Series(final_pairs), result) @@ -170,11 +192,16 @@ def test_unsupervised_candidate_pair_selector(self): Tests the parent candidate pair selection method. """ + # Tests pair selector with invalid data seed clustering data. with self.assertRaises(Exception): self.pair_selector.clust_labels_ = [] self.pair_selector.unsupervised_candidate_pair_selector() + # Setup initial variables needed for the test. self.pair_selector.dimensionality_reduction_by_components(2) + + # The following will mark a few tickers as valid to be used + # in the pairs generation process. self.pair_selector.clust_labels_ = np.array([ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, @@ -183,24 +210,30 @@ def test_unsupervised_candidate_pair_selector(self): -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]) - self.pair_selector.unsupervised_candidate_pair_selector() - final_pairs = pd.DataFrame(index=[('ABMD', 'AZO'), ('AES', 'BBY'), ('BKR', 'CE')]) + self.assertTrue(type(self.pair_selector.unsupervised_candidate_pair_selector()), list) + final_pairs = pd.DataFrame(index=[('ABMD', 'AZO'), ('AES', 'BBY'), ('BKR', 'CE')]) self.pair_selector.final_pairs = final_pairs - self.pair_selector.plot_selected_pairs() + selected_pairs_return = self.pair_selector.plot_selected_pairs() + + # Check if returned plot object is a list of Axes objects. + self.assertTrue(type(selected_pairs_return), list) def test_description_methods(self): """ Tests the various pair description methods. """ + # Test return of the describe method. intro_descr = self.pair_selector.describe() self.assertEqual(type(intro_descr), pd.DataFrame) + # Test return of the extended describe method. extended_descr = self.pair_selector.describe_extra() self.assertEqual(type(extended_descr), pd.DataFrame) + # Test return of the sectoral based method with empty sector info dataframe input. empty_sectoral_df = pd.DataFrame(columns=['ticker', 'sector', 'industry']) empty_sectoral_descr = self.pair_selector.describe_pairs_sectoral_info(['AJG'], ['ICE'], empty_sectoral_df) self.assertEqual(type(empty_sectoral_descr), pd.DataFrame) @@ -211,6 +244,8 @@ def test_description_methods(self): ]) sector_info.columns = ['ticker', 'sector', 'industry'] full_sectoral_descr = self.pair_selector.describe_pairs_sectoral_info(['AJG'], ['ICE'], sector_info) + + # Test return of the sectoral based method with full sector info dataframe input. self.assertEqual(type(full_sectoral_descr), pd.DataFrame) def test_manual_methods(self): @@ -225,6 +260,7 @@ def test_manual_methods(self): ]) sector_info.columns = ['ticker', 'sector'] + # Test pair generator with argument based category information. pairs_df = self.pair_selector.get_pairs_by_sector(sector_info) self.assertEqual(len(pairs_df), 1) @@ -233,23 +269,30 @@ def test_plotting_methods(self): Tests all plotting methods. """ + # Test the final pairs plotting method with no information. with self.assertRaises(Exception): self.pair_selector.plot_selected_pairs() + # Test the clustering plotting method with no information. with self.assertRaises(Exception): self.pair_selector.plot_clustering_info(show=False) + # Setup initial variables needed for the test. self.pair_selector.dimensionality_reduction_by_components(1) self.pair_selector.cluster_using_optics({'min_samples': 3}) + # Test knee plot return object. knee_plot_pyplot_obj = self.pair_selector.plot_knee_plot() self.assertTrue(issubclass(type(knee_plot_pyplot_obj), matplotlib.axes.SubplotBase)) + # Test 2d cluster plot return object. twod_pyplot_obj = self.pair_selector.plot_clustering_info(n_dimensions=2, show=False) self.assertTrue(issubclass(type(twod_pyplot_obj), matplotlib.axes.SubplotBase)) + # Test 3d cluster plot return object. threed_pyplot_obj = self.pair_selector.plot_clustering_info(n_dimensions=3, show=False) self.assertTrue(issubclass(type(threed_pyplot_obj), matplotlib.axes.SubplotBase)) + # Test the clustering plotting method with an oversized dimension number. with self.assertRaises(Exception): self.pair_selector.plot_clustering_info(n_dimensions=10, show=False) diff --git a/arbitragelab/util/data_importer.py b/arbitragelab/util/data_importer.py index cd016c14..49fe7f7e 100644 --- a/arbitragelab/util/data_importer.py +++ b/arbitragelab/util/data_importer.py @@ -110,8 +110,12 @@ def get_ticker_sector_info(self, tickers: list, yf_call_chunk: int = 20) -> pd.D ticker_sector_queue = [] + # For each chunk of size 'yf_call_chunk'. for i in range(0, len(tickers), yf_call_chunk): + # Set end as the limit value equals to the chunk size. + # If we hit the last chunk, set the end value as the + # full length of the ticker list. end = i+yf_call_chunk if i <= len(tickers) else len(tickers) ticker_sector_queue.append(self._sector_info_helper(tickers[i: end])) From cd624865b7e3578de4aa7b541628ed48b272a255 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Fri, 13 Nov 2020 10:34:59 +0100 Subject: [PATCH 08/29] Added documentation section for the data importer --- docs/source/index.rst | 8 +++++++ docs/source/utils/data_importer.rst | 33 +++++++++++++++++++++++++++++ 2 files changed, 41 insertions(+) create mode 100644 docs/source/utils/data_importer.rst diff --git a/docs/source/index.rst b/docs/source/index.rst index 6b714fb9..775093ed 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -109,6 +109,14 @@ This project is licensed under an all rights reserved licence. ml_approach/ml_based_pairs_selection +.. toctree:: + :maxdepth: 2 + :caption: Utils + :hidden: + + utils/data_importer + + .. toctree:: :maxdepth: 2 :caption: Additional Information diff --git a/docs/source/utils/data_importer.rst b/docs/source/utils/data_importer.rst new file mode 100644 index 00000000..0aee3cd9 --- /dev/null +++ b/docs/source/utils/data_importer.rst @@ -0,0 +1,33 @@ +.. _utils-data_importer: + +============= +Data Importer +============= + +This module features helpers to fetch pricing data commonly used by the quant community to benchmark algorithms on data that comes from the ‘real world’. + +Asset Universes +############### + +Get ticker collections of a specific asset universe. + +.. py:currentmodule:: arbitragelab.util.DataImporter + +.. autofunction:: get_sp500_tickers +.. autofunction:: get_dow_tickers + +Price/Fundamental Data Fetcher +############################## + +Pull data about a specific symbol/symbol list using the yfinance library. + +.. autofunction:: get_price_data +.. autofunction:: get_ticker_sector_info + +Pre/Post Processing Pricing Data +################################ + +After pulling/loading the pricing data, it has to be processed before being used in models. + +.. autofunction:: get_returns_data +.. autofunction:: remove_nuns \ No newline at end of file From 6bb1b089857e5315dd69cce9cf4de6ecd274d5b7 Mon Sep 17 00:00:00 2001 From: PanPip Date: Fri, 13 Nov 2020 14:11:57 +0100 Subject: [PATCH 09/29] Fix ML Approach requirements --- requirements.txt | 8 ++++---- setup.cfg | 5 +++++ 2 files changed, 9 insertions(+), 4 deletions(-) diff --git a/requirements.txt b/requirements.txt index 632a6dca..35973e29 100644 --- a/requirements.txt +++ b/requirements.txt @@ -4,13 +4,13 @@ numpy==1.18.5 matplotlib==3.2.1 pandas==1.0.4 pylint==2.5.3 +scikit-learn==0.23.1 +scipy==1.4.1 sphinx==2.2.1 # needed for docs sphinx-rtd-theme==0.4.3 # needed for docs statsmodels==0.11.1 analytics-python==1.2.9 - mpldatacursor==0.7.1 yfinance==0.1.54 -scipy==1.4.1 -scikit-learn==0.23.1 -yahoo-fin==0.86 \ No newline at end of file +yahoo-fin==0.8.6 +mpldatacursor==0.7.1 diff --git a/setup.cfg b/setup.cfg index daaaba88..89728b43 100644 --- a/setup.cfg +++ b/setup.cfg @@ -49,7 +49,12 @@ install_requires = numpy==1.18.5 statsmodels==0.11.1 matplotlib==3.2.1 + scikit-learn==0.23.1 + scipy==1.4.1 analytics-python==1.2.9 + yfinance==0.1.54 + yahoo-fin==0.8.6 + mpldatacursor==0.7.1 [options.packages.find] package_dir = From b3e3ae43dcad36361fd74d3b197b580f8ee75555 Mon Sep 17 00:00:00 2001 From: PanPip Date: Fri, 13 Nov 2020 14:17:29 +0100 Subject: [PATCH 10/29] Fix pylint in init ML Approach --- arbitragelab/__init__.py | 1 + arbitragelab/ml_approach/__init__.py | 7 ++----- 2 files changed, 3 insertions(+), 5 deletions(-) diff --git a/arbitragelab/__init__.py b/arbitragelab/__init__.py index f3895d24..24b3cd0e 100644 --- a/arbitragelab/__init__.py +++ b/arbitragelab/__init__.py @@ -2,5 +2,6 @@ ArbitrageLab helps portfolio managers and traders who want to leverage the power of Statistical Arbitrage by providing reproducible, interpretable, and easy to use tools. """ + import arbitragelab.ml_approach as ml_approach import arbitragelab.util as util diff --git a/arbitragelab/ml_approach/__init__.py b/arbitragelab/ml_approach/__init__.py index e27d191c..2361d5b7 100644 --- a/arbitragelab/ml_approach/__init__.py +++ b/arbitragelab/ml_approach/__init__.py @@ -1,8 +1,5 @@ -# Copyright 2019, Hudson and Thames Quantitative Research -# All rights reserved -# Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt """ -This module houses the ML Based Approaches +This module houses the ML Based Approaches. """ -from arbitragelab.ml_approach.pairs_selector import PairsSelector \ No newline at end of file +from arbitragelab.ml_approach.pairs_selector import PairsSelector From 059d4696724d5e873299d05000936ec13651049a Mon Sep 17 00:00:00 2001 From: PanPip Date: Fri, 13 Nov 2020 14:26:02 +0100 Subject: [PATCH 11/29] Add lxml to requirements --- requirements.txt | 1 + setup.cfg | 1 + 2 files changed, 2 insertions(+) diff --git a/requirements.txt b/requirements.txt index 35973e29..3dc633c4 100644 --- a/requirements.txt +++ b/requirements.txt @@ -14,3 +14,4 @@ mpldatacursor==0.7.1 yfinance==0.1.54 yahoo-fin==0.8.6 mpldatacursor==0.7.1 +lxml==4.5.2 diff --git a/setup.cfg b/setup.cfg index 89728b43..7845a098 100644 --- a/setup.cfg +++ b/setup.cfg @@ -55,6 +55,7 @@ install_requires = yfinance==0.1.54 yahoo-fin==0.8.6 mpldatacursor==0.7.1 + lxml==4.5.2 [options.packages.find] package_dir = From 8fb47247a0af10eaf4b9ffb1366491e18e6d3e48 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Fri, 13 Nov 2020 14:33:40 +0100 Subject: [PATCH 12/29] Data Importer unit test fix --- arbitragelab/tests/test_data_importer.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/arbitragelab/tests/test_data_importer.py b/arbitragelab/tests/test_data_importer.py index 2c61c39b..7b661221 100644 --- a/arbitragelab/tests/test_data_importer.py +++ b/arbitragelab/tests/test_data_importer.py @@ -56,7 +56,7 @@ def test_price_retriever(self): """ price_df = DataImporter.get_price_data('GOOG', '2015-01-01', '2016-01-01', '1d') - self.assertEqual(len(price_df), 253) + self.assertTrue(len(price_df) > 200) @staticmethod def test_ticker_sector_info(): From 4daed631f63ef9e0e7cc3d0c466825bb2d649c7a Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Sat, 14 Nov 2020 17:46:29 +0100 Subject: [PATCH 13/29] Added more fixes --- arbitragelab/ml_approach/pairs_selector.py | 149 ++++++++++-------- arbitragelab/ml_approach/stat_arb_utils.py | 59 +++---- arbitragelab/tests/test_data_importer.py | 2 +- arbitragelab/tests/test_pairs_selector.py | 12 +- arbitragelab/util/data_importer.py | 11 +- .../ml_approach/ml_based_pairs_selection.rst | 93 +++++++++-- requirements.txt | 1 + 7 files changed, 204 insertions(+), 123 deletions(-) diff --git a/arbitragelab/ml_approach/pairs_selector.py b/arbitragelab/ml_approach/pairs_selector.py index 7d205ae2..e1d70ff6 100644 --- a/arbitragelab/ml_approach/pairs_selector.py +++ b/arbitragelab/ml_approach/pairs_selector.py @@ -23,7 +23,9 @@ class PairsSelector: """ - Implementation of the Proposed Pairs Selection Framework in the following paper. + Implementation of the Proposed Pairs Selection Framework in the following paper: + `"A Machine Learning based Pairs Trading Investment Strategy." + `__. The method consists of three parts; dimensionality reduction, clustering of features and finally the selection of pairs with the use of a set of heuristics. @@ -128,7 +130,7 @@ def cluster_using_dbscan(self, args: dict): Second step of the framework; Doing Unsupervised Learning on the feature vector supplied from the first step. The - second clustering method used is DBSCAN, for when the user needs a more hands on approach + second clustering method used is DBSCAN, for when the user needs a more hands-on approach to doing the clustering step, given the parameter sensitivity of this method. :param args: (dict) Arguments to be passed to the clustering algorithm. @@ -143,7 +145,7 @@ def cluster_using_dbscan(self, args: dict): self.clust_labels_ = clust.labels_ def plot_clustering_info(self, n_dimensions: int = 2, method: str = "", - figsize: tuple = (10, 10), show: bool = True) -> Axes: + figsize: tuple = (10, 10)) -> Axes: """ Plots the clusters found on a scatter plot. @@ -161,7 +163,7 @@ def plot_clustering_info(self, n_dimensions: int = 2, method: str = "", raise Exception("The needed cluster labels have not been computed yet.", "Please run cluster() before this method.") - if (n_dimensions > 3) and (n_dimensions > 1): + if (n_dimensions > 3) or (n_dimensions < 1): raise Exception("Select a valid dimension! (more than 1 and less than 3).") no_of_classes = len(np.unique(self.clust_labels_)) @@ -170,64 +172,73 @@ def plot_clustering_info(self, n_dimensions: int = 2, method: str = "", tsne = TSNE(n_components=n_dimensions) - tsne_fv = pd.DataFrame( - tsne.fit_transform(self.feature_vector), - index=self.feature_vector.index - ) + tsne_fv = pd.DataFrame(tsne.fit_transform(self.feature_vector), + index=self.feature_vector.index) if n_dimensions == 2: - return self.plot_2d_scatter_plot(fig, tsne_fv, no_of_classes, method, show) - - return self.plot_3d_scatter_plot(tsne_fv, no_of_classes, method, show) + return self.plot_2d_scatter_plot(fig, tsne_fv, no_of_classes, method) + return self.plot_3d_scatter_plot(tsne_fv, no_of_classes, method) def plot_3d_scatter_plot(self, tsne_df: pd.DataFrame, no_of_classes: int, - method: str = "", show: bool = False) -> Axes: + method: str = "") -> Axes: """ - Plots the clusters found on a 3d scatter plot. + Plots the clusters found on a 3d scatter plot. In this method it is + assumed that the data being plotted has been pre-processed using TSNE + constrained to three components to provide the best visualization of + dataset possible. :param tsne_df: (pd.DataFrame) Data reduced using T-SNE. :param no_of_classes: (int) Number of unique clusters/classes. :param method: (str) String to be used as title in the plot. - :param show: (bool) Switches between [True] plotting on a new axes object or - [False] plotting on the last axes object that's been created. :return: (Axes) Axes object. """ ax_object = plt.subplot(111, projection='3d') paths_collection = [] - for klass in range(0, no_of_classes): - x_klass = tsne_df[self.clust_labels_ == klass] + # For each cluster. + for cluster in range(0, no_of_classes): + + # Get specific cluster data from the tsne processed dataframe. + cluster_data = tsne_df[self.clust_labels_ == cluster] - paths = ax_object.plot(x_klass.loc[:, 0], x_klass.loc[:, 1], x_klass.loc[:, 2], alpha=0.7, - marker='.', linestyle='None', label=list(x_klass.index), markersize=30) + # Plot the cluster data by column index [0, 1, 2] -> [x, y, z]. + paths = ax_object.plot(cluster_data.loc[:, 0], cluster_data.loc[:, 1], + cluster_data.loc[:, 2], alpha=0.7, marker='.', + linestyle='None', label=list(cluster_data.index), + markersize=30) + # Stash the list of Line2D objects for future use. paths_collection.append(paths) + # Flatten the paths array and instantiate the IndexedHighlight class + # that will manage the selection and highlighting of the plotted + # clusters. IndexedHighlight(np.ravel(paths_collection), formatter='{label}'.format) + # Plot the noisy samples which are not included in a leaf cluster labelled as -1, + # by column index [0, 1, 2] -> [x, y, z]. ax_object.plot(tsne_df.iloc[self.clust_labels_ == -1, 0], tsne_df.iloc[self.clust_labels_ == -1, 1], tsne_df.iloc[self.clust_labels_ == -1, 2], 'k+', alpha=0.1) + + # Set the chart title. ax_object.set_title('Automatic Clustering\n' + method) - if show: # pragma: no cover - plt.show() + plt.show() return ax_object def plot_2d_scatter_plot(self, fig: Figure, tsne_df: pd.DataFrame, no_of_classes: int, - method: str = "", show: bool = False) -> Axes: + method: str = "") -> Axes: """ Plots the clusters found on a 2d scatter plot. - :param fig: (Figure) Figure object, needed for styling of spline. + :param fig: (Figure) Figure object, needed for the styling of the spline. :param tsne_df: (pd.DataFrame) Data reduced using T-SNE. :param no_of_classes: (int) Number of unique clusters/classes. :param method: (str) String to be used as title in the plot. - :param show: (bool) Switches between [True] plotting on a new axes object or - [False] plotting on the last axes object that's been created. :return: (Axes) Axes object. """ @@ -246,11 +257,12 @@ def plot_2d_scatter_plot(self, fig: Figure, tsne_df: pd.DataFrame, no_of_classes paths_collection = [] - for klass in range(0, no_of_classes): - x_klass = tsne_df[self.clust_labels_ == klass] + for cluster in range(0, no_of_classes): + cluster_data = tsne_df[self.clust_labels_ == cluster] - paths = ax_object.plot(x_klass.loc[:, 0], x_klass.loc[:, 1], label=list(x_klass.index), - markersize=30, alpha=0.75, marker='.', linestyle='None') + paths = ax_object.plot(cluster_data.loc[:, 0], cluster_data.loc[:, 1], + label=list(cluster_data.index), markersize=30, + alpha=0.75, marker='.', linestyle='None') paths_collection.append(paths) @@ -262,8 +274,7 @@ def plot_2d_scatter_plot(self, fig: Figure, tsne_df: pd.DataFrame, no_of_classes ax_object.set_title('Automatic Clustering\n' + method) - if show:# pragma: no cover # this is here to stop matplotlib from popping an image on the build server - plt.show() + plt.show() return ax_object @@ -341,38 +352,40 @@ def _hurst_criterion(self, pairs: pd.DataFrame, hurst_exp_threshold: int = 0.5) -> tuple: """ This method will go through all the pairs given, calculate the needed spread and run - the hurst exponent test against each one. + the Hurst exponent test against each one. :param pairs: (pd.DataFrame) DataFrame of asset name pairs to be analyzed. - :param hurst_exp_threshold: (int) Max hurst threshold value. + :param hurst_exp_threshold: (int) Max Hurst threshold value. :return: (pd.DataFrame, pd.DataFrame) The first DataFrame consists of the Hedge ratio adjusted spreads - and the second DataFrame consists of pairs that passed the hurst check / their respective hurst value. + and the second DataFrame consists of pairs that passed the Hurst check / their respective Hurst value. """ hurst_pass_pairs = [] spreads_lst = [] spreads_cols = [] - if len(pairs) != 0: - for idx, frame in pairs.iterrows(): - asset_one = self.prices_df.loc[:, idx[1]].values - asset_two = self.prices_df.loc[:, idx[0]].values + if len(pairs) == 0: + raise Exception("No pairs have been found!") - spread_ts = (asset_one - asset_two * frame['hedge_ratio']) - hurst_exp = self.hurst(spread_ts) + for idx, frame in pairs.iterrows(): + asset_one = self.prices_df.loc[:, idx[1]].values + asset_two = self.prices_df.loc[:, idx[0]].values - if hurst_exp < hurst_exp_threshold: - hurst_pass_pairs.append((idx, hurst_exp)) - spreads_lst.append(spread_ts) - spreads_cols.append(str(idx)) - else: - raise Exception("No pairs have been found!") + spread_ts = (asset_one - asset_two * frame['hedge_ratio']) + hurst_exp = self.hurst(spread_ts) + + if hurst_exp < hurst_exp_threshold: + hurst_pass_pairs.append((idx, hurst_exp)) + spreads_lst.append(spread_ts) + spreads_cols.append(str(idx)) spreads_df = pd.DataFrame(data=spreads_lst).T spreads_df.columns = spreads_cols spreads_df.index = pd.to_datetime(self.prices_df.index) - hurst_pass_pairs_df = pd.DataFrame(data=hurst_pass_pairs, columns=['pairs', 'hurst_exponent']).set_index('pairs') + hurst_pass_pairs_df = pd.DataFrame(data=hurst_pass_pairs) + hurst_pass_pairs_df.columns = ['pairs', 'hurst_exponent'] + hurst_pass_pairs_df.set_index('pairs', inplace=True) hurst_pass_pairs_df.index.name = None return spreads_df, hurst_pass_pairs_df @@ -382,35 +395,34 @@ def _final_criterions(spreads_df: pd.DataFrame, pairs: list, min_crossover_threshold_per_year: int = 12) -> tuple: """ This method consists of the final two criterions checks in the third stage of the proposed - framework which involves; the calculation and check, of the half life of the given pair spread + framework which involves; the calculation and check, of the half-life of the given pair spread and the amount of mean crossovers throughout a set period, in this case in a year. :param spreads_df: (pd.DataFrame) Hedge ratio adjusted spreads DataFrame. :param pairs: (list) List of asset name pairs to be analyzed. :param min_crossover_threshold_per_year: (int) Minimum amount of mean crossovers per year. - :return: (pd.DataFrame, pd.DataFrame) The first is a DataFrame of pairs that passed the half life + :return: (pd.DataFrame, pd.DataFrame) The first is a DataFrame of pairs that passed the half-life test and the second is a DataFrame of final pairs and their mean crossover counts. """ hl_pass_pairs = [] final_pairs = [] - if len(pairs) != 0: - ou_results = _outer_ou_loop(spreads_df, molecule=pairs, test_period='2Y', - cross_overs_per_delta=min_crossover_threshold_per_year) + if len(pairs) == 0: + raise Exception("No pairs have been found!") - final_selection = ou_results[ou_results['hl'] > 1] + ou_results = _outer_ou_loop(spreads_df, molecule=pairs, test_period='2Y', + cross_overs_per_delta=min_crossover_threshold_per_year) - final_selection = final_selection.loc[ou_results['hl'] < 365] + final_selection = ou_results[ou_results['hl'] > 1] - hl_pass_pairs = final_selection + final_selection = final_selection.loc[ou_results['hl'] < 365] - final_selection = final_selection.loc[ou_results['crossovers']] + hl_pass_pairs = final_selection - final_pairs = final_selection + final_selection = final_selection.loc[ou_results['crossovers']] - else: - raise Exception("No pairs have been found!") + final_pairs = final_selection return hl_pass_pairs, final_pairs @@ -421,11 +433,11 @@ def unsupervised_candidate_pair_selector(self, pvalue_threshold: int = 0.01, hur The clusters found in step two are used to generate a list of possible pairwise combinations. The combinations generated are then checked to see if they comply with the criteria supplied - in the paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves + in the paper: the pair being cointegrated, the Hurst exponent being <0.5, the spread moves within convenient periods and finally that the spread reverts to the mean with enough frequency. :param pvalue_threshold: (int) Max p-value threshold to be used in the cointegration tests. - :param hurst_exp_threshold: (int) Max hurst threshold value. + :param hurst_exp_threshold: (int) Max Hurst threshold value. :param min_crossover_threshold_per_year: (int) Minimum amount of mean crossovers per year. :return: (list) Tuple list of final pairs. """ @@ -434,7 +446,7 @@ def unsupervised_candidate_pair_selector(self, pvalue_threshold: int = 0.01, hur raise Exception("The needed cluster labels have not been computed yet.", "Please run cluster() before this method.") - # Generate needed pairwise combinations and remove unneccessary + # Generate needed pairwise combinations and remove unnecessary # duplicates. c_labels = np.unique(self.clust_labels_[self.clust_labels_ != -1]) @@ -451,12 +463,12 @@ def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalu The clusters found in step two are used to generate a list of possible pairwise combinations. The combinations generated are then checked to see if they comply with the criteria supplied - in the paper: the pair being cointegrated, the hurst exponent being <0.5, the spread moves + in the paper: the pair being cointegrated, the Hurst exponent being <0.5, the spread moves within convenient periods and finally that the spread reverts to the mean with enough frequency. :param cluster_x_cointegration_combinations: (list) List of asset pairs. :param pvalue_threshold: (int) Max p-value threshold to be used in the cointegration tests. - :param hurst_exp_threshold: (int) Max hurst threshold value. + :param hurst_exp_threshold: (int) Max Hurst threshold value. :param min_crossover_threshold_per_year: (int) Minimum amount of mean crossovers per year. :return: (list) Tuple list of final pairs. """ @@ -495,7 +507,6 @@ def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalu return final_pairs.index.values - def plot_selected_pairs(self) -> list: """ Plots the final selection of pairs. @@ -525,7 +536,7 @@ def describe(self) -> pd.DataFrame: The following statistics are included - the number of clusters, total possible pair combinations, the number of pairs that passed the cointegration threshold, the number of pairs that passed the - hurst exponent threshold, the number of pairs that passed the half life threshold and the number + Hurst exponent threshold, the number of pairs that passed the half-life threshold and the number of final set of pairs. :return: (pd.DataFrame) Dataframe of summary statistics. @@ -542,8 +553,9 @@ def describe(self) -> pd.DataFrame: info.append(("Total Pair Combinations", no_paircomb)) info.append(("Pairs passing Coint Test", len(self.coint_pass_pairs))) info.append(("Pairs passing Hurst threshold", no_hurstpair)) - info.append(("Pairs passing Half Life threshold", no_hlpair)) + info.append(("Pairs passing Half-Life threshold", no_hlpair)) info.append(("Final Set of Pairs", len(self.final_pairs))) + return pd.DataFrame(info) def describe_extra(self) -> pd.DataFrame: @@ -561,6 +573,7 @@ def describe_extra(self) -> pd.DataFrame: description_df.reset_index(inplace=True) description_df.rename(columns={'level_0': 'leg_1', 'level_1': 'leg_2', 'hl': 'half_life'}, inplace=True) description_df.drop(['constant'], axis=1, errors='ignore', inplace=True) + return description_df @staticmethod @@ -571,6 +584,7 @@ def _convert_to_tuple(arr: np.array) -> tuple: :param arr: (np.array) Input array to be converted. :return: (tuple) List converted to tuple. """ + return tuple(i for i in arr) def describe_pairs_sectoral_info(self, leg_1: list, leg_2: list, @@ -631,4 +645,5 @@ def hurst(data: pd.DataFrame, max_lags: int = 100) -> float: tau = [np.sqrt(np.std(np.subtract(data[lag:], data[:-lag]))) for lag in lags] poly = np.polyfit(np.log(lags), np.log(tau), 1) + return poly[0] * 2.0 diff --git a/arbitragelab/ml_approach/stat_arb_utils.py b/arbitragelab/ml_approach/stat_arb_utils.py index 157cfa0c..38dd9e02 100644 --- a/arbitragelab/ml_approach/stat_arb_utils.py +++ b/arbitragelab/ml_approach/stat_arb_utils.py @@ -2,7 +2,7 @@ # All rights reserved # Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt """ -This module houses utility functions used by the PairsSelector +This module houses utility functions used by the PairsSelector. """ import pandas as pd @@ -15,12 +15,18 @@ def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, cross_overs_per_delta: int, molecule: list) -> pd.DataFrame: """ - This function gets mean reversion calculations (half life and number of mean cross overs) for each pair in the molecule. - Uses the linear regression method to get the half life, which is much lighter computationally wise compared to the version - using the OrnsteinUhlenbeck class. + This function gets mean reversion calculations (half-life and number of + mean cross overs) for each pair in the molecule. Uses the linear regression + method to get the half-life, which is much lighter computationally wise + compared to the version using the OrnsteinUhlenbeck class. + + Note that when mean reversion is expected, lambda / StdErr has a negative value. + This result implies that the expected duration of mean reversion lambda is + inversely proportional to the absolute value of lambda. :param spreads_df: (pd.DataFrame) Spreads Universe. - :param test_period: (str) Time delta format, to be used as the time period where the mean crossovers will be calculated. + :param test_period: (str) Time delta format, to be used as the time + period where the mean crossovers will be calculated. :param cross_overs_per_delta: (int) Crossovers per time delta selected. :param molecule: (list) Indices of pairs. :return: (pd.DataFrame) Mean Reversion statistics. @@ -31,49 +37,45 @@ def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, for pair in molecule: spread = spreads_df.loc[:, str(pair)] - lagged_spread = spread.shift(1).dropna(0) - lagged_spread_c = sm.add_constant(lagged_spread) + # Setup regression parameters. + lagged_spread_c = sm.add_constant(lagged_spread) delta_y_t = np.diff(spread) model = sm.OLS(delta_y_t, lagged_spread_c) res = model.fit() - # Note that when mean reversion is expected, λ / SE has a negative value. - # res.params[0] / res.bse[0] - - # This result implies that the expected duration of mean reversion λ is - # inversely proportional to the absolute value of λ - - # Example; h = np.log(2) / abs(res.params[0]) - - # Split the spread in two; The train_df is going to be used to get the long term mean - # and test_df is going to be used to get the number of mean cross overs - + # Split the spread in two periods. The training data is used to + # extract the long term mean of the spread. Then the mean is used + # to find the the number of crossovers in the test period. test_df = spread.last(test_period) - train_df = spread.iloc[: -len(test_df)] long_term_mean = np.mean(train_df) centered_series = test_df - long_term_mean + # Set the spread to a mean of zero and classifies each value + # based on their sign. cross_over_indices = np.where(np.diff(np.sign(centered_series)))[0] - cross_overs_dates = spreads_df.index[cross_over_indices] + # Resample the mean crossovers series to yearly index and count + # each occurence in each year. cross_overs_counts = cross_overs_dates.to_frame().resample('Y').count() - cross_overs_counts.columns = ['counts'] + # Check that the number of crossovers are in accordance with the given selection + # criteria. cross_overs = len(cross_overs_counts[cross_overs_counts['counts'] > cross_overs_per_delta]) > 0 + # Append half-life and number of cross overs. ou_results.append([np.log(2) / abs(res.params[0]), cross_overs]) return pd.DataFrame(ou_results, index=molecule, columns=['hl', 'crossovers']) -def linear_f(beta, x_variable): # pragma: no cover +def linear_f(beta, x_variable): """ This is the helper linear model that is going to be used in the Orthogonal Regression. @@ -106,13 +108,14 @@ def _outer_cointegration_loop(prices_df: pd.DataFrame, molecule: list) -> pd.Dat myodr = ODR(mydata, linear, beta0=[1., 2.]) res_co = myodr.run() - res_adf = adfuller( - res_co.delta - res_co.eps, maxlag=maxlag, autolag=autolag, regression="nc" - ) + res_adf = adfuller(res_co.delta - res_co.eps, maxlag=maxlag, + autolag=autolag, regression="nc") pval_asy = mackinnonp(res_adf[0], regression=trend) - cointegration_results.append( - (res_adf[0], pval_asy, res_co.beta[0], res_co.beta[1])) + cointegration_results.append((res_adf[0], pval_asy, + res_co.beta[0], res_co.beta[1])) - return pd.DataFrame(cointegration_results, index=molecule, columns=['coint_t', 'pvalue', 'hedge_ratio', 'constant']) + return pd.DataFrame(cointegration_results, + index=molecule, + columns=['coint_t', 'pvalue', 'hedge_ratio', 'constant']) diff --git a/arbitragelab/tests/test_data_importer.py b/arbitragelab/tests/test_data_importer.py index 7b661221..c6e64969 100644 --- a/arbitragelab/tests/test_data_importer.py +++ b/arbitragelab/tests/test_data_importer.py @@ -3,7 +3,7 @@ # Read more: https://github.com/hudson-and-thames/arbitragelab/blob/master/LICENSE.txt """ Tests functionality of Data Importer: -ml_based_pairs_selection/data_importer.py +util/data_importer.py """ import os import unittest diff --git a/arbitragelab/tests/test_pairs_selector.py b/arbitragelab/tests/test_pairs_selector.py index cb4e4b17..20ef39d3 100644 --- a/arbitragelab/tests/test_pairs_selector.py +++ b/arbitragelab/tests/test_pairs_selector.py @@ -3,7 +3,7 @@ # Read more: https://github.com/hudson-and-thames/arbitragelab/blob/master/LICENSE.txt """ Tests function of ML Pairs Selection module: -ml_based_pairs_selection/pairs_selector.py +ml_approach/pairs_selector.py """ import os import unittest @@ -52,7 +52,7 @@ def test_dimensionality_reduction(self): # Test clustering plot before generating any clusters. with self.assertRaises(Exception): - self.pair_selector.plot_clustering_info(show=False) + self.pair_selector.plot_clustering_info() # Test dimensionality reduction when inputting invalid data. with self.assertRaises(Exception): @@ -275,7 +275,7 @@ def test_plotting_methods(self): # Test the clustering plotting method with no information. with self.assertRaises(Exception): - self.pair_selector.plot_clustering_info(show=False) + self.pair_selector.plot_clustering_info() # Setup initial variables needed for the test. self.pair_selector.dimensionality_reduction_by_components(1) @@ -286,13 +286,13 @@ def test_plotting_methods(self): self.assertTrue(issubclass(type(knee_plot_pyplot_obj), matplotlib.axes.SubplotBase)) # Test 2d cluster plot return object. - twod_pyplot_obj = self.pair_selector.plot_clustering_info(n_dimensions=2, show=False) + twod_pyplot_obj = self.pair_selector.plot_clustering_info(n_dimensions=2) self.assertTrue(issubclass(type(twod_pyplot_obj), matplotlib.axes.SubplotBase)) # Test 3d cluster plot return object. - threed_pyplot_obj = self.pair_selector.plot_clustering_info(n_dimensions=3, show=False) + threed_pyplot_obj = self.pair_selector.plot_clustering_info(n_dimensions=3) self.assertTrue(issubclass(type(threed_pyplot_obj), matplotlib.axes.SubplotBase)) # Test the clustering plotting method with an oversized dimension number. with self.assertRaises(Exception): - self.pair_selector.plot_clustering_info(n_dimensions=10, show=False) + self.pair_selector.plot_clustering_info(n_dimensions=10) diff --git a/arbitragelab/util/data_importer.py b/arbitragelab/util/data_importer.py index 49fe7f7e..72bcc0b1 100644 --- a/arbitragelab/util/data_importer.py +++ b/arbitragelab/util/data_importer.py @@ -70,7 +70,7 @@ def get_price_data(tickers: list, start_date: str, end_date: str, :param tickers: (list) List of tickers to download. :param start_date: (str) Download start date string (YYYY-MM-DD). :param end_date: (str) Download end date string (YYYY-MM-DD). - :param interval: (str) Valid intervals: 1m,2m,5m,15m,30m,60m,90m,1h,1d,5d,1wk,1mo,3mo. + :param interval: (str) Valid intervals: [1m,2m,5m,15m,30m,60m,90m,1h,1d,5d,1wk,1mo,3mo]. :return: (pd.DataFrame) The requested price_data. """ @@ -104,8 +104,10 @@ def get_ticker_sector_info(self, tickers: list, yf_call_chunk: int = 20) -> pd.D and supplied sequentially to the helper function. :param tickers: (list) List of asset symbols. - :param yf_call_chunk: (int) Ticker values allowed per 'Tickers' object. This should always be less than 200. - :return: (pd.DataFrame) DataFrame with input asset tickers and their respective sector and industry information. + :param yf_call_chunk: (int) Ticker values allowed per 'Tickers' + object. This should always be less than 200. + :return: (pd.DataFrame) DataFrame with input asset tickers and their + respective sector and industry information. """ ticker_sector_queue = [] @@ -128,7 +130,8 @@ def _sector_info_helper(tickers: list) -> pd.DataFrame: Helper method to supply chunked sector info to the main method. :param tickers: (list) List of asset symbols. - :return: (pd.DataFrame) DataFrame with input asset tickers and their respective sector and industry information. + :return: (pd.DataFrame) DataFrame with input asset tickers and their respective sector + and industry information. """ tckrs = yf.Tickers(' '.join(tickers)) diff --git a/docs/source/ml_approach/ml_based_pairs_selection.rst b/docs/source/ml_approach/ml_based_pairs_selection.rst index c61883a3..fe2183da 100644 --- a/docs/source/ml_approach/ml_based_pairs_selection.rst +++ b/docs/source/ml_approach/ml_based_pairs_selection.rst @@ -8,9 +8,19 @@ ML Based Pairs Selection ======================== -The success of a Pairs Trading strategy highly depends on finding the right pairs. But with the increasing availability of data, more traders manage to spot interesting pairs and quickly profit from the correction of price discrepancies, leaving no margin for the latecomers. On the one hand, if the investor limits its search to securities within the same sector, as commonly executed, he is less likely to find pairs not yet being traded in large volumes. If on the other hand, the investor does not impose any limitation on the search space, he might have to explore an excessive number of combinations and is more likely to find spurious relations. - -To solve this issue, this work proposes the application of Unsupervised Learning to define the search space. It intends to group relevant securities (not necessarily from the same sector) in clusters, and detect rewarding pairs within them, that would otherwise be harder to identify, even for the experienced investor. +The success of a Pairs Trading strategy highly depends on finding the right pairs. +But with the increasing availability of data, more traders manage to spot interesting +pairs and quickly profit from the correction of price discrepancies, leaving no margin +for the latecomers. On the one hand, if the investor limits its search to securities +within the same sector, as commonly executed, he is less likely to find pairs not yet +being traded in large volumes. If on the other hand, the investor does not impose any +limitation on the search space, he might have to explore an excessive number of combinations +and is more likely to find spurious relations. + +To solve this issue, this work proposes the application of Unsupervised Learning to define +the search space. It intends to group relevant securities (not necessarily from the same +sector) in clusters, and detect rewarding pairs within them, that would otherwise be harder +to identify, even for the experienced investor. Proposed Pairs Selection Framework ################################## @@ -28,14 +38,33 @@ The main objectives in this step are; - Extracting common underlying risk factors from securities returns - Producing a compact representation for each security (stored in the variable 'feature_vector') -In this step the number of features, k, needs to be defined. A usual procedure consists in analyzing the proportion of the total variance explained by each principal component, and then use the number of components that explain a fixed percentage, as in `Avellaneda M, Lee JH (2010) `__. However, given that in this framework an Unsupervised Learning Algorithm is applied, the approach adopted took the data dimensionality problem as a major consideration. High data dimensionality presents a dual problem. +In this step the number of features, k, needs to be defined. A usual procedure consists in +analyzing the proportion of the total variance explained by each principal component, and +then use the number of components that explain a fixed percentage, as in `Avellaneda M, Lee JH (2010) `__. +However, given that in this framework an Unsupervised Learning Algorithm is applied, the +approach adopted took the data dimensionality problem as a major consideration. High data +dimensionality presents a dual problem. - The first being that in the presence of more attributes, the likelihood of finding irrelevant features increases. - The second is the problem of the curse of dimensionality. -This term is introduced by `Bellman (1966) `__ to describe the problem caused by the exponential increase in volume associated with adding extra dimensions to Euclidean space. This has a tremendous impact when measuring the distance between apparently similar data points that suddenly become all very distant from each other. Consequently, the clustering procedure becomes very ineffective. +This term is introduced by `Bellman (1966) `__ +to describe the problem caused by the exponential increase in volume associated with adding +extra dimensions to Euclidean space. This has a tremendous impact when measuring the distance +between apparently similar data points that suddenly become all very distant from each other. +Consequently, the clustering procedure becomes very ineffective. + +According to `Berkhin (2006) `__, the effect starts +to be severe for dimensions greater than 15. Taking this into consideration, the number of PCA +dimensions is upper bounded at this value and is chosen empirically. -According to `Berkhin (2006) `__, the effect starts to be severe for dimensions greater than 15. Taking this into consideration, the number of PCA dimensions is upper bounded at this value and is chosen empirically. +.. warning:: + Usually the number of components for dimensionality reduction is chosen purely to maximize + the amount of variance in the final lower dimensional representation. In this module's case, + there is a need to balance the amount of variance represented and at the same time have the + final representation remain dense enough (in a euclidean geometrical sense) for the + clustering algorithm to detect any groupings. Thus as mentioned above the initial number + of components is suggested to be 15 and slowly moved lower. Implementation ************** @@ -47,15 +76,20 @@ Implementation Unsupervised Learning ##################### -The main objective in this step is to identify the optimal cluster structure from the compact representation previously generated, prioritizing the following constraints; +The main objective in this step is to identify the optimal cluster structure from the compact +representation previously generated, prioritizing the following constraints; - No need to specify the number of clusters in advance - No need to group all securities - No assumptions regarding the clusters’ shape. -The first method is to use the OPTICS clustering algorithm and letting the built in automatic procedure to select the most suitable :math:`\epsilon` for each cluster. +The first method is to use the OPTICS clustering algorithm and letting the built in automatic +procedure to select the most suitable :math:`\epsilon` for each cluster. -The second method is to use the DBSCAN clustering algorithm. This is to be used when the user has domain specific knowledge that can enhance the results given the algorithm's parameter sensitivity. A possible approach to finding :math:`\epsilon` described in `Rahmah N, Sitanggang S (2016) `__ is to inspect the knee plot and fix a suitable :math:`\epsilon` by observing the global curve turning point. +The second method is to use the DBSCAN clustering algorithm. This is to be used when the user +has domain specific knowledge that can enhance the results given the algorithm's parameter +sensitivity. A possible approach to finding :math:`\epsilon` described in `Rahmah N, Sitanggang S (2016) `__ is to inspect the knee plot and fix a +suitable :math:`\epsilon` by observing the global curve turning point. .. figure:: images/knee_plot.png :align: center @@ -92,15 +126,40 @@ The rules that each pair needs to pass are; - The pair’s spread diverges and converges within convenient periods. - The pair’s spread reverts to the mean with enough frequency. -To test for cointegration, the framework proposes the application of the Engle-Granger test, due to its simplicity. One critic `Armstrong (2001) `__ points at the Engle-Granger test sensitivity to the ordering of variables. It is a possibility that one of the relationships will be cointegrated, while the other will not. This is troublesome because we would expect that if the variables are truly cointegrated the two equations will yield the same conclusion. -To mitigate this issue, the original paper proposes that the Engle-Granger test is run for the two possible selections of the dependent variable and that the combination that generated the lowest t-statistic is selected. Further work in `Hoel (2013) `__ adds on, "the unsymmetrical coefficients imply that a hedge of long / short is not the opposite of long / short , i.e. the hedge ratios are inconsistent". -A better solution is proposed and implemented, based on `Gregory et al. (2011) `__ to use orthogonal regression – also referred to as Total Least Squares (TLS) – in which the residuals of both dependent and independent variables are taken into account. That way, we incorporate the volatility of both legs of the spread when estimating the relationship so that hedge ratios are consistent, and thus the cointegration estimates will be unaffected by the ordering of variables. - -Secondly, an additional validation step is also implemented to provide more confidence in the mean-reversion character of the pairs’ spread. The condition imposed is that the Hurst exponent associated with the spread of a given pair is enforced to be smaller than 0.5, assuring the process leans towards mean-reversion. +To test for cointegration, the framework proposes the application of the Engle-Granger test, due +to its simplicity. One critic `Armstrong (2001) `__ points +at the Engle-Granger test sensitivity to the ordering of variables. It is a possibility that one of +the relationships will be cointegrated, while the other will not. This is troublesome because we would +expect that if the variables are truly cointegrated the two equations will yield the same conclusion. + +To mitigate this issue, the original paper proposes that the Engle-Granger test is run for the two +possible selections of the dependent variable and that the combination that generated the lowest t-statistic +is selected. Further work in `Hoel (2013) `__ adds on, "the +unsymmetrical coefficients imply that a hedge of long / short is not the opposite of long / short , i.e. +the hedge ratios are inconsistent". +A better solution is proposed and implemented, based on `Gregory et al. (2011) `__ +to use orthogonal regression – also referred to as Total Least Squares (TLS) – in which the residuals +of both dependent and independent variables are taken into account. That way, we incorporate the volatility +of both legs of the spread when estimating the relationship so that hedge ratios are consistent, and thus +the cointegration estimates will be unaffected by the ordering of variables. + +Secondly, an additional validation step is also implemented to provide more confidence in the mean-reversion +character of the pairs’ spread. The condition imposed is that the Hurst exponent associated with the spread +of a given pair is enforced to be smaller than 0.5, assuring the process leans towards mean-reversion. + +In third place, the pair's spread movement is constrained using the half life of the mean reverting process. +In the framework paper the strategy built on top of the selection framework is based on the medium term price +movements, so for this reason the spreads that either have very short (< 1 day) or very long mean-reversion (> 365 days) +periods were not suitable. + +Lastly, we enforce that every spread crosses its mean at least once per month, to provide enough liquidity and +thus providing enough opportunities to exit a position. -In third place, the pair's spread movement is constrained using the half life of the mean reverting process. In the framework paper the strategy built on top of the selection framework is based on the medium term price movements, so for this reason the spreads that either have very short (< 1 day) or very long mean-reversion (> 365 days) periods were not suitable. - -Lastly, we enforce that every spread crosses its mean at least once per month, to provide enough liquidity and thus providing enough opportunities to exit a position. +.. note:: + In practice to calculate the spread of the pairs supplied by this module, it is important to also consider + the hedge ratio as follows: + + :math:`S = leg1 - (hedgeratio) * leg2` Implementation ************** diff --git a/requirements.txt b/requirements.txt index 3dc633c4..cabe3a7b 100644 --- a/requirements.txt +++ b/requirements.txt @@ -15,3 +15,4 @@ yfinance==0.1.54 yahoo-fin==0.8.6 mpldatacursor==0.7.1 lxml==4.5.2 +requests_html==0.10.0 From f84719ea7d48517adb5da5e8c868eee8f5552bef Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Mon, 16 Nov 2020 09:37:23 +0100 Subject: [PATCH 14/29] Typo fixes, added images to data importer docs --- arbitragelab/ml_approach/pairs_selector.py | 2 +- .../ml_approach/ml_based_pairs_selection.rst | 10 +++++---- docs/source/utils/data_importer.rst | 20 ++++++++++++++++++ docs/source/utils/images/prices.png | Bin 0 -> 90479 bytes docs/source/utils/images/returns.png | Bin 0 -> 266589 bytes .../source/utils/images/ticker_collection.png | Bin 0 -> 21689 bytes setup.cfg | 1 + 7 files changed, 28 insertions(+), 5 deletions(-) create mode 100644 docs/source/utils/images/prices.png create mode 100644 docs/source/utils/images/returns.png create mode 100644 docs/source/utils/images/ticker_collection.png diff --git a/arbitragelab/ml_approach/pairs_selector.py b/arbitragelab/ml_approach/pairs_selector.py index e1d70ff6..cc002b84 100644 --- a/arbitragelab/ml_approach/pairs_selector.py +++ b/arbitragelab/ml_approach/pairs_selector.py @@ -2,7 +2,7 @@ # All rights reserved # Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt """ -This module implements the ML based Pairs Selection Framework described by by Simão Moraes +This module implements the ML based Pairs Selection Framework described by Simão Moraes Sarmento and Nuno Horta in `"A Machine Learning based Pairs Trading Investment Strategy." `__. """ diff --git a/docs/source/ml_approach/ml_based_pairs_selection.rst b/docs/source/ml_approach/ml_based_pairs_selection.rst index fe2183da..7f7d27a5 100644 --- a/docs/source/ml_approach/ml_based_pairs_selection.rst +++ b/docs/source/ml_approach/ml_based_pairs_selection.rst @@ -33,7 +33,7 @@ Proposed Pairs Selection Framework Dimensionality Reduction ######################## -The main objectives in this step are; +The main objectives in this step are: - Extracting common underlying risk factors from securities returns - Producing a compact representation for each security (stored in the variable 'feature_vector') @@ -119,9 +119,9 @@ Select Pairs The rules selection flow diagram from `A Machine Learning based Pairs Trading Investment Strategy `__. by Simão Moraes Sarmento and Nuno Horta. -The rules that each pair needs to pass are; +The rules that each pair needs to pass are: -- The pair’s constituents are cointegrated. Literature suggest cointegration performs better than minumum distance and correlation approaches +- The pair’s constituents are cointegrated. Literature suggests cointegration performs better than minimum distance and correlation approaches - The pair’s spread Hurst exponent reveals a mean-reverting character. Extra layer of validation. - The pair’s spread diverges and converges within convenient periods. - The pair’s spread reverts to the mean with enough frequency. @@ -206,7 +206,9 @@ Examples sectoral_info = pd.read_csv('X_FILE_PATH.csv') # Generate a sector/industry relationship Panel of each pair - ps.describe_pairs_sectoral_info(final_pairs_info['leg_1'], final_pairs_info['leg_2'], sectoral_info) + ps.describe_pairs_sectoral_info(final_pairs_info['leg_1'], + final_pairs_info['leg_2'], + sectoral_info) Research Notebooks ################## diff --git a/docs/source/utils/data_importer.rst b/docs/source/utils/data_importer.rst index 0aee3cd9..f183693f 100644 --- a/docs/source/utils/data_importer.rst +++ b/docs/source/utils/data_importer.rst @@ -11,6 +11,12 @@ Asset Universes Get ticker collections of a specific asset universe. + +.. figure:: images/ticker_collection.png + :align: center + + Example showing the pulling of all of the DOW component tickers. + .. py:currentmodule:: arbitragelab.util.DataImporter .. autofunction:: get_sp500_tickers @@ -21,6 +27,13 @@ Price/Fundamental Data Fetcher Pull data about a specific symbol/symbol list using the yfinance library. + +.. figure:: images/prices.png + :align: center + + Example showing the requested asset prices. + + .. autofunction:: get_price_data .. autofunction:: get_ticker_sector_info @@ -29,5 +42,12 @@ Pre/Post Processing Pricing Data After pulling/loading the pricing data, it has to be processed before being used in models. + +.. figure:: images/returns.png + :align: center + + Example showing plotted returns. + + .. autofunction:: get_returns_data .. autofunction:: remove_nuns \ No newline at end of file diff --git a/docs/source/utils/images/prices.png b/docs/source/utils/images/prices.png new file mode 100644 index 0000000000000000000000000000000000000000..6a20691425e9d3d89b71437f0160814d77cefc66 GIT binary patch literal 90479 zcmZs?Q*bU!(*^p(wr$%scWm3XZQHhOn|sH}j?En>PweEp-(Pj=+?=lJS~KgSFJ`8? 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A usual procedure consists in +In this step the number of features, k, needs to be defined. A usual procedure consists of analyzing the proportion of the total variance explained by each principal component, and -then use the number of components that explain a fixed percentage, as in `Avellaneda M, Lee JH (2010) `__. +then using the number of components that explain a fixed percentage, as in `Avellaneda M, Lee JH (2010) `__. However, given that in this framework an Unsupervised Learning Algorithm is applied, the approach adopted took the data dimensionality problem as a major consideration. High data dimensionality presents a dual problem. @@ -83,7 +83,7 @@ representation previously generated, prioritizing the following constraints; - No need to group all securities - No assumptions regarding the clusters’ shape. -The first method is to use the OPTICS clustering algorithm and letting the built in automatic +The first method is to use the OPTICS clustering algorithm and letting the built-in automatic procedure to select the most suitable :math:`\epsilon` for each cluster. The second method is to use the DBSCAN clustering algorithm. This is to be used when the user @@ -137,6 +137,7 @@ possible selections of the dependent variable and that the combination that gene is selected. Further work in `Hoel (2013) `__ adds on, "the unsymmetrical coefficients imply that a hedge of long / short is not the opposite of long / short , i.e. the hedge ratios are inconsistent". + A better solution is proposed and implemented, based on `Gregory et al. (2011) `__ to use orthogonal regression – also referred to as Total Least Squares (TLS) – in which the residuals of both dependent and independent variables are taken into account. That way, we incorporate the volatility @@ -147,7 +148,7 @@ Secondly, an additional validation step is also implemented to provide more conf character of the pairs’ spread. The condition imposed is that the Hurst exponent associated with the spread of a given pair is enforced to be smaller than 0.5, assuring the process leans towards mean-reversion. -In third place, the pair's spread movement is constrained using the half life of the mean reverting process. +In third place, the pair's spread movement is constrained using the half-life of the mean-reverting process. In the framework paper the strategy built on top of the selection framework is based on the medium term price movements, so for this reason the spreads that either have very short (< 1 day) or very long mean-reversion (> 365 days) periods were not suitable. From 17bb707d206a89ee0b24d205ffa6bb7fd60d1ed7 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Mon, 16 Nov 2020 13:47:10 +0100 Subject: [PATCH 16/29] Set limit on pair plotter and added time_delta parameter --- arbitragelab/ml_approach/pairs_selector.py | 31 +++++++++++++++++----- arbitragelab/tests/test_pairs_selector.py | 6 +++++ 2 files changed, 30 insertions(+), 7 deletions(-) diff --git a/arbitragelab/ml_approach/pairs_selector.py b/arbitragelab/ml_approach/pairs_selector.py index cc002b84..d36504ab 100644 --- a/arbitragelab/ml_approach/pairs_selector.py +++ b/arbitragelab/ml_approach/pairs_selector.py @@ -391,7 +391,8 @@ def _hurst_criterion(self, pairs: pd.DataFrame, return spreads_df, hurst_pass_pairs_df @staticmethod - def _final_criterions(spreads_df: pd.DataFrame, pairs: list, + def _final_criterions(spreads_df: pd.DataFrame, + pairs: list, test_period: str = '2Y', min_crossover_threshold_per_year: int = 12) -> tuple: """ This method consists of the final two criterions checks in the third stage of the proposed @@ -400,6 +401,8 @@ def _final_criterions(spreads_df: pd.DataFrame, pairs: list, :param spreads_df: (pd.DataFrame) Hedge ratio adjusted spreads DataFrame. :param pairs: (list) List of asset name pairs to be analyzed. + :param test_period: (str) Time delta format, to be used as the time + period where the mean crossovers will be calculated. :param min_crossover_threshold_per_year: (int) Minimum amount of mean crossovers per year. :return: (pd.DataFrame, pd.DataFrame) The first is a DataFrame of pairs that passed the half-life test and the second is a DataFrame of final pairs and their mean crossover counts. @@ -411,7 +414,7 @@ def _final_criterions(spreads_df: pd.DataFrame, pairs: list, if len(pairs) == 0: raise Exception("No pairs have been found!") - ou_results = _outer_ou_loop(spreads_df, molecule=pairs, test_period='2Y', + ou_results = _outer_ou_loop(spreads_df, molecule=pairs, test_period=test_period, cross_overs_per_delta=min_crossover_threshold_per_year) final_selection = ou_results[ou_results['hl'] > 1] @@ -426,8 +429,10 @@ def _final_criterions(spreads_df: pd.DataFrame, pairs: list, return hl_pass_pairs, final_pairs - def unsupervised_candidate_pair_selector(self, pvalue_threshold: int = 0.01, hurst_exp_threshold: int = 0.5, - min_crossover_threshold_per_year: int = 12) -> list: + def unsupervised_candidate_pair_selector(self, pvalue_threshold: int = 0.01, + hurst_exp_threshold: int = 0.5, + min_crossover_threshold_per_year: int = 12, + test_period: str = '2Y') -> list: """ Third step of the framework; @@ -439,6 +444,8 @@ def unsupervised_candidate_pair_selector(self, pvalue_threshold: int = 0.01, hur :param pvalue_threshold: (int) Max p-value threshold to be used in the cointegration tests. :param hurst_exp_threshold: (int) Max Hurst threshold value. :param min_crossover_threshold_per_year: (int) Minimum amount of mean crossovers per year. + :param test_period: (str) Time delta format, to be used as the time + period where the mean crossovers will be calculated. :return: (list) Tuple list of final pairs. """ @@ -454,10 +461,13 @@ def unsupervised_candidate_pair_selector(self, pvalue_threshold: int = 0.01, hur self.cluster_pairs_combinations = cluster_x_cointegration_combinations return self._criterion_selection(cluster_x_cointegration_combinations, - pvalue_threshold, hurst_exp_threshold, min_crossover_threshold_per_year) + pvalue_threshold, hurst_exp_threshold, + min_crossover_threshold_per_year, test_period) - def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalue_threshold: int = 0.01, - hurst_exp_threshold: int = 0.5, min_crossover_threshold_per_year: int = 12) -> list: + def _criterion_selection(self, cluster_x_cointegration_combinations: list, + pvalue_threshold: int = 0.01, hurst_exp_threshold: int = 0.5, + min_crossover_threshold_per_year: int = 12, + test_period: str = '2Y') -> list: """ Third step of the framework; @@ -470,6 +480,8 @@ def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalu :param pvalue_threshold: (int) Max p-value threshold to be used in the cointegration tests. :param hurst_exp_threshold: (int) Max Hurst threshold value. :param min_crossover_threshold_per_year: (int) Minimum amount of mean crossovers per year. + :param test_period: (str) Time delta format, to be used as the time + period where the mean crossovers will be calculated. :return: (list) Tuple list of final pairs. """ @@ -499,6 +511,7 @@ def _criterion_selection(self, cluster_x_cointegration_combinations: list, pvalu # 12 times per year. hl_pass_pairs, final_pairs = self._final_criterions(spreads_df, hurst_pass_pairs.index.values, + test_period, min_crossover_threshold_per_year) self.hl_pass_pairs = hl_pass_pairs @@ -518,6 +531,10 @@ def plot_selected_pairs(self) -> list: raise Exception("The needed pairs have not been computed yet.", "Please run criterion_selector() before this method.") + if len(self.final_pairs) > 40: + raise Exception("The amount of pairs to be plotted cannot exceed 40", + "without causing system instability.") + _, axs = plt.subplots(len(self.final_pairs), figsize=(15, 3 * len(self.final_pairs))) for ax_object, frame in zip(axs, self.final_pairs.index.values): diff --git a/arbitragelab/tests/test_pairs_selector.py b/arbitragelab/tests/test_pairs_selector.py index 20ef39d3..894771da 100644 --- a/arbitragelab/tests/test_pairs_selector.py +++ b/arbitragelab/tests/test_pairs_selector.py @@ -220,6 +220,12 @@ def test_unsupervised_candidate_pair_selector(self): # Check if returned plot object is a list of Axes objects. self.assertTrue(type(selected_pairs_return), list) + with self.assertRaises(Exception): + pairs_list = list((('F', 'V'),)*45) + final_pairs = pd.DataFrame(index=pairs_list) + self.pair_selector.final_pairs = final_pairs + self.pair_selector.plot_selected_pairs() + def test_description_methods(self): """ Tests the various pair description methods. From 83b55f4c5cff21a025f474d049812bd72c2a5122 Mon Sep 17 00:00:00 2001 From: PanPip Date: Mon, 16 Nov 2020 16:56:00 +0100 Subject: [PATCH 17/29] Remove Risk Metrics from init --- arbitragelab/util/__init__.py | 1 - 1 file changed, 1 deletion(-) diff --git a/arbitragelab/util/__init__.py b/arbitragelab/util/__init__.py index de87d085..fea2bb46 100644 --- a/arbitragelab/util/__init__.py +++ b/arbitragelab/util/__init__.py @@ -4,5 +4,4 @@ from arbitragelab.util.data_importer import DataImporter from arbitragelab.util.indexed_highlight import IndexedHighlight -from arbitragelab.util.risk_metrics import RiskMetrics from arbitragelab.util.generate_dataset import get_classification_data From 5a5dd0fa4e6c235898b36a56d2df49e9511d66d1 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Tue, 17 Nov 2020 07:26:18 +0100 Subject: [PATCH 18/29] Moved test files --- {arbitragelab/tests => tests}/test_data/data.csv | 0 {arbitragelab/tests => tests}/test_data_importer.py | 0 {arbitragelab/tests => tests}/test_indexed_highlight.py | 0 {arbitragelab/tests => tests}/test_pairs_selector.py | 0 4 files changed, 0 insertions(+), 0 deletions(-) rename {arbitragelab/tests => tests}/test_data/data.csv (100%) rename {arbitragelab/tests => tests}/test_data_importer.py (100%) rename {arbitragelab/tests => tests}/test_indexed_highlight.py (100%) rename {arbitragelab/tests => tests}/test_pairs_selector.py (100%) diff --git a/arbitragelab/tests/test_data/data.csv b/tests/test_data/data.csv similarity index 100% rename from arbitragelab/tests/test_data/data.csv rename to tests/test_data/data.csv diff --git a/arbitragelab/tests/test_data_importer.py b/tests/test_data_importer.py similarity index 100% rename from arbitragelab/tests/test_data_importer.py rename to tests/test_data_importer.py diff --git a/arbitragelab/tests/test_indexed_highlight.py b/tests/test_indexed_highlight.py similarity index 100% rename from arbitragelab/tests/test_indexed_highlight.py rename to tests/test_indexed_highlight.py diff --git a/arbitragelab/tests/test_pairs_selector.py b/tests/test_pairs_selector.py similarity index 100% rename from arbitragelab/tests/test_pairs_selector.py rename to tests/test_pairs_selector.py From b2ff7f1feceb0df1905f4ee07cc53f608fa6a609 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Tue, 17 Nov 2020 08:41:48 +0100 Subject: [PATCH 19/29] Added introduction section to ML approach section --- docs/source/index.rst | 16 ++++----- .../ml_approach/images/example_ml_pair.png | Bin 0 -> 34225 bytes docs/source/ml_approach/introduction.rst | 32 ++++++++++++++++++ 3 files changed, 40 insertions(+), 8 deletions(-) create mode 100644 docs/source/ml_approach/images/example_ml_pair.png create mode 100644 docs/source/ml_approach/introduction.rst diff --git a/docs/source/index.rst b/docs/source/index.rst index 575babb8..32e62011 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -90,19 +90,12 @@ This project is licensed under an all rights reserved licence. other_approaches/kalman_filter other_approaches/pca_approach -.. toctree:: - :maxdepth: 3 - :caption: Developer Guide - :hidden: - - changelog - - .. toctree:: :maxdepth: 2 :caption: ML Approach :hidden: + ml_approach/introduction ml_approach/ml_based_pairs_selection @@ -113,6 +106,13 @@ This project is licensed under an all rights reserved licence. utils/data_importer +.. toctree:: + :maxdepth: 3 + :caption: Developer Guide + :hidden: + + changelog + .. toctree:: :maxdepth: 2 diff --git a/docs/source/ml_approach/images/example_ml_pair.png b/docs/source/ml_approach/images/example_ml_pair.png new file mode 100644 index 0000000000000000000000000000000000000000..9cfe4e1d91408a3e87800fadeeb49f018d95301c GIT binary patch literal 34225 zcmYJaWmr{R*EUQ@NC*njDbiiiQc9PAbZ@%5Tj}oZ?(UXuLAtveq`_};-N*C2KO{W% zX01Kv9Alidg5+dGQIYVFprD{o#l^nJLqWmngP)TS;lWn{l)GpsD3lggMHPE_T_+N2 zTPs5oa|0547i$9&17{OMC@ANJvP2VGGOjlw|1L4@URgqQZCZyV;*Xr~l9DUWmmlmO z1XlfuPnC!w@wW2$bvNE&b&JhUzDrQd_NN^0uBh#r*ID=c@1Kkg>Y3fs%N+Ljn`y>b z;nPzz1BN^LibXyAie0uw27dmtD$!)^3Iw-~nB%tJ4`C5-A*ZP>Rs0Bpe;=FE4@AH0 z652Lgb4?{_j~{w$VhlaZ-eZI?Ub}|;>)u7Ki^`)n|8g%QPJY3W;Ph(yFHd87dPmrU zo=I!GJdEt)W%$pZ?p!PVcA*&*R-?WZ8TQ`{$wUCc~-1-LJaxMbBa!4U@wRBJ|3i zvoINUiK}vrR-ca=qN^@tmXa|-$Uk2sM4WZ3JW@tjpI%^+%TnaYR=^lpefxDbbf

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zjhaYr*7^!=Fa&1no5=1n-#-7pyd_c*fcf`W@caMexf&79yLqWGr?c2rC{{QGqX0^5 zfmLjQS!~f^cF|$hEJgGpC8m*TGnq z4pin1@GowuCCt#A(H24Eq5xKGXOnPc}Y+Zv4qx-nR}PpMBY>N9wJmQxFI0@+1; zS0sushLC7PQ)3W#Cx8!VB2z6;_z?YaY4#{772g>a_I<1~vliO&5b0WdcZaF8}~)qtYBG5$ru zQKb$PIi40;b|KlW{MRd!FV$9R6m>tdP zd1T4s)ZC6{TF0mu%_(V=4Xp^=sGU*lawV%c(mLc%fZVb?#YWqimCzz?G*2QA{@kss z8i`MV4>eQpn?RKUYQC8&<(Xg$R3S7-pi2QY&nk!lIWre^r@1OI k7{dm!uNXXEkB6YCJ{{8q?ZO4{Ew~W!(kfCl62_tb4+uUTVE_OC literal 0 HcmV?d00001 diff --git a/docs/source/ml_approach/introduction.rst b/docs/source/ml_approach/introduction.rst new file mode 100644 index 00000000..67512276 --- /dev/null +++ b/docs/source/ml_approach/introduction.rst @@ -0,0 +1,32 @@ +.. _ml_approach-introduction: + +.. note:: + The following description closely follows the book by Simão Moraes Sarmento and Nuno Horta: + `A Machine Learning based Pairs Trading Investment Strategy `__. + +============ +Introduction +============ + + +The success of a Pairs Trading strategy highly depends on finding the right pairs. +But with the increasing availability of data, more traders manage to spot interesting +pairs and quickly profit from the correction of price discrepancies, leaving no margin +for the latecomers. + +To find opportunities the investor will employ methods that are either too restrictive, +like restricting the search to inter-sector relationships, or too open, like removing +any limit on the search space. + +In this module, a Machine Learning based framework is applied to provide a balanced +solution to this problem. Firstly with the application of Unsupervised Learning to +define the search space. Secondly, in the grouping of relevant securities (not necessarily +from the same sector) in clusters, and finally in the detection of rewarding pairs within +them, that would otherwise be hard to identify, even for the experienced investor. + + +.. figure:: images/example_ml_pair.png + :align: center + + An example pair found using the pair selector implemented in this module. + From aade331a17c22030f6bf3698bcbeede8af123d30 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Wed, 18 Nov 2020 07:30:20 +0100 Subject: [PATCH 20/29] Fixed latest comments --- arbitragelab/ml_approach/stat_arb_utils.py | 4 ++-- docs/source/ml_approach/ml_based_pairs_selection.rst | 2 +- tests/test_pairs_selector.py | 10 ++-------- 3 files changed, 5 insertions(+), 11 deletions(-) diff --git a/arbitragelab/ml_approach/stat_arb_utils.py b/arbitragelab/ml_approach/stat_arb_utils.py index 38dd9e02..85da30cf 100644 --- a/arbitragelab/ml_approach/stat_arb_utils.py +++ b/arbitragelab/ml_approach/stat_arb_utils.py @@ -75,13 +75,13 @@ def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, return pd.DataFrame(ou_results, index=molecule, columns=['hl', 'crossovers']) -def linear_f(beta, x_variable): +def linear_f(beta: np.array, x_variable: np.array) -> np.array: """ This is the helper linear model that is going to be used in the Orthogonal Regression. :param beta: (np.array) Model beta coefficient. :param x_variable: (np.array) Model X vector. - :return: (np.array) + :return: (np.array) Vector result of equation calculation. """ return beta[0]*x_variable + beta[1] diff --git a/docs/source/ml_approach/ml_based_pairs_selection.rst b/docs/source/ml_approach/ml_based_pairs_selection.rst index 7ef475fd..4187b40b 100644 --- a/docs/source/ml_approach/ml_based_pairs_selection.rst +++ b/docs/source/ml_approach/ml_based_pairs_selection.rst @@ -191,7 +191,7 @@ Examples ps = PairsSelector(data) - # Price data is reduced to it's component features using PCA + # Price data is reduced to its component features using PCA ps.dimensionality_reduction_by_components(5) # Clustering is performed over feature vector diff --git a/tests/test_pairs_selector.py b/tests/test_pairs_selector.py index 894771da..96e7d1d4 100644 --- a/tests/test_pairs_selector.py +++ b/tests/test_pairs_selector.py @@ -202,14 +202,8 @@ def test_unsupervised_candidate_pair_selector(self): # The following will mark a few tickers as valid to be used # in the pairs generation process. - self.pair_selector.clust_labels_ = np.array([ - -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, - -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, - -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, - -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, - -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, - -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 - ]) + self.pair_selector.clust_labels_ = np.array([-1] * 100) + np.put(self.pair_selector.clust_labels_, [55, 56, 86], 1) self.assertTrue(type(self.pair_selector.unsupervised_candidate_pair_selector()), list) From 6f89bff7289b5eae0a5f68cb6fdd86eb3c9a5547 Mon Sep 17 00:00:00 2001 From: PanPip Date: Thu, 19 Nov 2020 12:57:57 +0100 Subject: [PATCH 21/29] Add ML Approach import to secure import --- arbitragelab/network/validation.py | 1 + 1 file changed, 1 insertion(+) diff --git a/arbitragelab/network/validation.py b/arbitragelab/network/validation.py index abaf7f95..a98bfe85 100644 --- a/arbitragelab/network/validation.py +++ b/arbitragelab/network/validation.py @@ -41,6 +41,7 @@ def __check_api_key(): @staticmethod def __import_libraries(): # pylint: disable=import-outside-toplevel, unused-import + import arbitragelab.ml_approach as ml_approach import arbitragelab.codependence as codependence import arbitragelab.cointegration_approach as cointegration_approach import arbitragelab.distance_approach as distance_approach From 220fced7788033421269d580f9fedca75a422a95 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Fri, 20 Nov 2020 07:40:56 +0100 Subject: [PATCH 22/29] Added Knee Plot title --- arbitragelab/ml_approach/pairs_selector.py | 1 + 1 file changed, 1 insertion(+) diff --git a/arbitragelab/ml_approach/pairs_selector.py b/arbitragelab/ml_approach/pairs_selector.py index d36504ab..d7546d89 100644 --- a/arbitragelab/ml_approach/pairs_selector.py +++ b/arbitragelab/ml_approach/pairs_selector.py @@ -300,6 +300,7 @@ def plot_knee_plot(self) -> Axes: ax_object.set_ylabel('k-distance') ax_object.set_xlabel('# of data rows') ax_object.plot(result) + ax_object.set_title('Knee Plot') return ax_object From c1cf7b6cce1ca1a411323d0fe38f76415c80ea82 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Fri, 20 Nov 2020 08:11:53 +0100 Subject: [PATCH 23/29] Added doc warning relating to pair selection performance --- docs/source/ml_approach/ml_based_pairs_selection.rst | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/docs/source/ml_approach/ml_based_pairs_selection.rst b/docs/source/ml_approach/ml_based_pairs_selection.rst index 4187b40b..041035b4 100644 --- a/docs/source/ml_approach/ml_based_pairs_selection.rst +++ b/docs/source/ml_approach/ml_based_pairs_selection.rst @@ -162,6 +162,10 @@ thus providing enough opportunities to exit a position. :math:`S = leg1 - (hedgeratio) * leg2` +.. warning:: + The pairs selection function is very computationally heavy, so execution is going to be long and might slow down your system. + + Implementation ************** From 8109c4c976a473bd7a38dd2627a89aec43b39bb0 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Fri, 20 Nov 2020 08:14:28 +0100 Subject: [PATCH 24/29] Added ht clients research repo link in docs --- docs/source/ml_approach/ml_based_pairs_selection.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/source/ml_approach/ml_based_pairs_selection.rst b/docs/source/ml_approach/ml_based_pairs_selection.rst index 041035b4..15808ed9 100644 --- a/docs/source/ml_approach/ml_based_pairs_selection.rst +++ b/docs/source/ml_approach/ml_based_pairs_selection.rst @@ -222,4 +222,4 @@ The following research notebook can be used to better understand the Pairs Selec * `ML based Pairs Selection`_ -.. _`ML based Pairs Selection`: https://github.com/hudson-and-thames/research/blob/ml_based_pairs_selection/Statistical%20Arbitrage/ml_based_pairs_selection.ipynb +.. _`ML based Pairs Selection`: https://github.com/Hudson-and-Thames-Clients/arbitrage_research/blob/master/ml_approach/ml_based_pairs_selection.ipynb From e9f7c2e32a7e3b5f159a9e2e16a1c47e33d16709 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Fri, 20 Nov 2020 08:19:16 +0100 Subject: [PATCH 25/29] Fixed unit test to handle time varying values from asset getter methods --- tests/test_data_importer.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/tests/test_data_importer.py b/tests/test_data_importer.py index c6e64969..26dde4e8 100644 --- a/tests/test_data_importer.py +++ b/tests/test_data_importer.py @@ -33,8 +33,8 @@ def test_ticker_collectors(self): Tests ticker collection collectors. """ - self.assertEqual(len(DataImporter.get_sp500_tickers()), 505) - self.assertEqual(len(DataImporter.get_dow_tickers()), 30) + self.assertTrue(len(DataImporter.get_sp500_tickers()) > 400) + self.assertTrue(len(DataImporter.get_dow_tickers()) > 20) def test_preprocessing_methods(self): """ From aad7c7ee5319ffd4915b123c6773ac5195e2739b Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Fri, 20 Nov 2020 09:00:29 +0100 Subject: [PATCH 26/29] Added single pair plotting method --- arbitragelab/ml_approach/pairs_selector.py | 18 ++++++++++++++++++ tests/test_pairs_selector.py | 4 ++++ 2 files changed, 22 insertions(+) diff --git a/arbitragelab/ml_approach/pairs_selector.py b/arbitragelab/ml_approach/pairs_selector.py index d7546d89..b7452665 100644 --- a/arbitragelab/ml_approach/pairs_selector.py +++ b/arbitragelab/ml_approach/pairs_selector.py @@ -548,6 +548,24 @@ def plot_selected_pairs(self) -> list: return axs + def plot_single_pair(self, pair: tuple) -> Axes: + """ + Plots the given pair. + + :param pair: (tuple) Tuple of asset names. + :return: (Axes) Axes object. + """ + _, ax_object = plt.subplots(1, figsize=(15, 3)) + + rets_asset_one = np.log(self.prices_df.loc[:, pair[0]]).diff() + rets_asset_two = np.log(self.prices_df.loc[:, pair[1]]).diff() + + ax_object.plot(rets_asset_one.cumsum()) + ax_object.plot(rets_asset_two.cumsum()) + ax_object.legend([pair[0], pair[1]]) + + return ax_object + def describe(self) -> pd.DataFrame: """ Returns the Pairs Selector Summary statistics. diff --git a/tests/test_pairs_selector.py b/tests/test_pairs_selector.py index 96e7d1d4..f047008e 100644 --- a/tests/test_pairs_selector.py +++ b/tests/test_pairs_selector.py @@ -285,6 +285,10 @@ def test_plotting_methods(self): knee_plot_pyplot_obj = self.pair_selector.plot_knee_plot() self.assertTrue(issubclass(type(knee_plot_pyplot_obj), matplotlib.axes.SubplotBase)) + # Test single pair plot return object. + singlepair_pyplot_obj = self.pair_selector.plot_single_pair(('AJG', 'ABMD')) + self.assertTrue(issubclass(type(singlepair_pyplot_obj), matplotlib.axes.SubplotBase)) + # Test 2d cluster plot return object. twod_pyplot_obj = self.pair_selector.plot_clustering_info(n_dimensions=2) self.assertTrue(issubclass(type(twod_pyplot_obj), matplotlib.axes.SubplotBase)) From a9bc41807127a5595e15c3f4aa27b739ba232c70 Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Mon, 23 Nov 2020 10:57:25 +0100 Subject: [PATCH 27/29] More Fixes --- arbitragelab/ml_approach/pairs_selector.py | 43 +++++++++++++----- arbitragelab/ml_approach/stat_arb_utils.py | 6 +-- arbitragelab/util/data_importer.py | 2 +- arbitragelab/util/indexed_highlight.py | 2 +- docs/source/{utils => data}/data_importer.rst | 0 docs/source/{utils => data}/images/prices.png | Bin .../source/{utils => data}/images/returns.png | Bin .../images/ticker_collection.png | Bin docs/source/index.rst | 15 +++--- .../ml_approach/ml_based_pairs_selection.rst | 20 ++++++++ .../test_data/{data.csv => sp100_prices.csv} | 0 tests/test_data_importer.py | 15 ++++-- tests/test_indexed_highlight.py | 7 ++- tests/test_pairs_selector.py | 22 ++++----- 14 files changed, 93 insertions(+), 39 deletions(-) rename docs/source/{utils => data}/data_importer.rst (100%) rename docs/source/{utils => data}/images/prices.png (100%) rename docs/source/{utils => data}/images/returns.png (100%) rename docs/source/{utils => data}/images/ticker_collection.png (100%) rename tests/test_data/{data.csv => sp100_prices.csv} (100%) diff --git a/arbitragelab/ml_approach/pairs_selector.py b/arbitragelab/ml_approach/pairs_selector.py index b7452665..43df6e5d 100644 --- a/arbitragelab/ml_approach/pairs_selector.py +++ b/arbitragelab/ml_approach/pairs_selector.py @@ -1,6 +1,6 @@ # Copyright 2019, Hudson and Thames Quantitative Research # All rights reserved -# Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt +# Read more: https://hudson-and-thames-arbitragelab.readthedocs-hosted.com/en/latest/additional_information/license.html """ This module implements the ML based Pairs Selection Framework described by Simão Moraes Sarmento and Nuno Horta in `"A Machine Learning based Pairs Trading Investment Strategy." `__. @@ -27,7 +27,7 @@ class PairsSelector: `"A Machine Learning based Pairs Trading Investment Strategy." `__. - The method consists of three parts; dimensionality reduction, clustering of features and + The method consists of three parts: dimensionality reduction, clustering of features and finally the selection of pairs with the use of a set of heuristics. """ @@ -86,10 +86,12 @@ def dimensionality_reduction_by_components(self, num_features: int = 10): self.feature_vector.columns = returns_df.columns self.feature_vector = self.feature_vector.T - def plot_pca_matrix(self) -> list: + def plot_pca_matrix(self, alpha: float = 0.2, figsize: tuple = (15, 15)) -> list: """ Plots the feature vector on a scatter matrix. + :param alpha: (float) Opacity level to be used in the plot. + :param figsize: (tuple) Tuple describing the size of the plot. :return: (list) List of Axes objects. """ @@ -99,7 +101,7 @@ def plot_pca_matrix(self) -> list: feature_vector.columns = cols axes = pd.plotting.scatter_matrix( - feature_vector, alpha=0.2, figsize=(15, 15)) + feature_vector, alpha=alpha, figsize=figsize) new_labels = [round(float(i.get_text()), 2) for i in axes[0, 0].get_yticklabels()] @@ -107,25 +109,25 @@ def plot_pca_matrix(self) -> list: return axes - def cluster_using_optics(self, args: dict): + def cluster_using_optics(self, **kwargs: dict): """ Second step of the framework; Doing Unsupervised Learning on the feature vector supplied from the first step. The clustering method used is OPTICS, chosen mainly for it being basically parameterless. - :param args: (dict) Arguments to be passed to the clustering algorithm. + :param kwargs: (dict) Arguments to be passed to the clustering algorithm. """ if self.feature_vector is None: raise Exception("The needed feature vector has not been computed yet.", "Please run dimensionality_reduction() before this method.") - clust = OPTICS(**args) + clust = OPTICS(**kwargs) clust.fit(self.feature_vector) self.clust_labels_ = clust.labels_ - def cluster_using_dbscan(self, args: dict): + def cluster_using_dbscan(self, **kwargs: dict): """ Second step of the framework; @@ -133,21 +135,23 @@ def cluster_using_dbscan(self, args: dict): second clustering method used is DBSCAN, for when the user needs a more hands-on approach to doing the clustering step, given the parameter sensitivity of this method. - :param args: (dict) Arguments to be passed to the clustering algorithm. + :param kwargs: (dict) Arguments to be passed to the clustering algorithm. """ if self.feature_vector is None: raise Exception("The needed feature vector has not been computed yet.", "Please run dimensionality_reduction() before this method.") - clust = DBSCAN(**args) + clust = DBSCAN(**kwargs) clust.fit(self.feature_vector) self.clust_labels_ = clust.labels_ def plot_clustering_info(self, n_dimensions: int = 2, method: str = "", figsize: tuple = (10, 10)) -> Axes: """ - Plots the clusters found on a scatter plot. + Reduces the feature vector found in the dimensionality reduction step, further + down to the specified 'n_dimensions' argument using TSNE and then plots the + clusters found, on a scatter plot. :param n_dimensions: (int) Selected dimension to be used in the T-SNE plot. :param method: (str) String to be used as title in the plot. @@ -155,14 +159,19 @@ def plot_clustering_info(self, n_dimensions: int = 2, method: str = "", :return: (Axes) Axes object. """ + # First we check if the feature vector is empty or else we don't have anything + # to plot. if self.feature_vector is None: raise Exception("The needed feature vector has not been computed yet.", "Please run dimensionality_reduction() before this method.") + # Check if there are enough clusters. if len(self.clust_labels_) == 0: raise Exception("The needed cluster labels have not been computed yet.", "Please run cluster() before this method.") + # The plotting methods support both 2d and 3d representations, so here we limit + # the users choice to either 2 or 3 dimensions. if (n_dimensions > 3) or (n_dimensions < 1): raise Exception("Select a valid dimension! (more than 1 and less than 3).") @@ -244,6 +253,7 @@ def plot_2d_scatter_plot(self, fig: Figure, tsne_df: pd.DataFrame, no_of_classes ax_object = fig.add_subplot(111) + # Set spine styling. ax_object.spines['left'].set_position('center') ax_object.spines['left'].set_alpha(0.3) ax_object.spines['bottom'].set_position('center') @@ -257,21 +267,32 @@ def plot_2d_scatter_plot(self, fig: Figure, tsne_df: pd.DataFrame, no_of_classes paths_collection = [] + # For each cluster. for cluster in range(0, no_of_classes): + + # Get specific cluster data from the tsne process dataframe. cluster_data = tsne_df[self.clust_labels_ == cluster] + # Plot the cluster data by column index [0, 1] -> [x, y]. paths = ax_object.plot(cluster_data.loc[:, 0], cluster_data.loc[:, 1], label=list(cluster_data.index), markersize=30, alpha=0.75, marker='.', linestyle='None') + # Stash the list of Line2D objects for future use. paths_collection.append(paths) + # Flatten the paths array and instantiate the IndexedHighlight class + # that will manage the selection and highlighting of the plotted + # clusters. IndexedHighlight(np.ravel(paths_collection), formatter='{label}'.format) + # Plot the noisy samples which are not included in a leaf cluster labelled as -1, + # by column index [0, 1] -> [x, y]. ax_object.plot(tsne_df.iloc[self.clust_labels_ == -1, 0], tsne_df.iloc[self.clust_labels_ == -1, 1], 'k+', alpha=0.1) + # Set the chart title. ax_object.set_title('Automatic Clustering\n' + method) plt.show() diff --git a/arbitragelab/ml_approach/stat_arb_utils.py b/arbitragelab/ml_approach/stat_arb_utils.py index 85da30cf..9838400e 100644 --- a/arbitragelab/ml_approach/stat_arb_utils.py +++ b/arbitragelab/ml_approach/stat_arb_utils.py @@ -1,6 +1,6 @@ # Copyright 2019, Hudson and Thames Quantitative Research # All rights reserved -# Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt +# Read more: https://hudson-and-thames-arbitragelab.readthedocs-hosted.com/en/latest/additional_information/license.html """ This module houses utility functions used by the PairsSelector. """ @@ -75,7 +75,7 @@ def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, return pd.DataFrame(ou_results, index=molecule, columns=['hl', 'crossovers']) -def linear_f(beta: np.array, x_variable: np.array) -> np.array: +def _linear_f(beta: np.array, x_variable: np.array) -> np.array: """ This is the helper linear model that is going to be used in the Orthogonal Regression. @@ -103,7 +103,7 @@ def _outer_cointegration_loop(prices_df: pd.DataFrame, molecule: list) -> pd.Dat autolag = "aic" trend = "c" - linear = Model(linear_f) + linear = Model(_linear_f) mydata = RealData(prices_df.loc[:, pair[0]], prices_df.loc[:, pair[1]]) myodr = ODR(mydata, linear, beta0=[1., 2.]) res_co = myodr.run() diff --git a/arbitragelab/util/data_importer.py b/arbitragelab/util/data_importer.py index 72bcc0b1..b759ea78 100644 --- a/arbitragelab/util/data_importer.py +++ b/arbitragelab/util/data_importer.py @@ -1,6 +1,6 @@ # Copyright 2019, Hudson and Thames Quantitative Research # All rights reserved -# Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt +# Read more: https://hudson-and-thames-arbitragelab.readthedocs-hosted.com/en/latest/additional_information/license.html """ This module is a user data helper wrapping various yahoo finance libraries. """ diff --git a/arbitragelab/util/indexed_highlight.py b/arbitragelab/util/indexed_highlight.py index 2ed6d0f4..b6d52599 100644 --- a/arbitragelab/util/indexed_highlight.py +++ b/arbitragelab/util/indexed_highlight.py @@ -1,6 +1,6 @@ # Copyright 2019, Hudson and Thames Quantitative Research # All rights reserved -# Read more: https://github.com/hudson-and-thames/mlfinlab/blob/master/LICENSE.txt +# Read more: https://hudson-and-thames-arbitragelab.readthedocs-hosted.com/en/latest/additional_information/license.html """ This module houses the extension HighlightingDataCursor class to support cluster by cluster highlighting. diff --git a/docs/source/utils/data_importer.rst b/docs/source/data/data_importer.rst similarity index 100% rename from docs/source/utils/data_importer.rst rename to docs/source/data/data_importer.rst diff --git a/docs/source/utils/images/prices.png b/docs/source/data/images/prices.png similarity index 100% rename from docs/source/utils/images/prices.png rename to docs/source/data/images/prices.png diff --git a/docs/source/utils/images/returns.png b/docs/source/data/images/returns.png similarity index 100% rename from docs/source/utils/images/returns.png rename to docs/source/data/images/returns.png diff --git a/docs/source/utils/images/ticker_collection.png b/docs/source/data/images/ticker_collection.png similarity index 100% rename from docs/source/utils/images/ticker_collection.png rename to docs/source/data/images/ticker_collection.png diff --git a/docs/source/index.rst b/docs/source/index.rst index dcef8891..a5872af5 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -52,6 +52,13 @@ This project is licensed under an all rights reserved licence. getting_started/research_tools getting_started/roadmap +.. toctree:: + :maxdepth: 2 + :caption: Data + :hidden: + + data/data_importer + .. toctree:: :maxdepth: 2 :caption: Distance Approach @@ -106,14 +113,6 @@ This project is licensed under an all rights reserved licence. ml_approach/introduction ml_approach/ml_based_pairs_selection - -.. toctree:: - :maxdepth: 2 - :caption: Utils - :hidden: - - utils/data_importer - .. toctree:: :maxdepth: 3 :caption: Developer Guide diff --git a/docs/source/ml_approach/ml_based_pairs_selection.rst b/docs/source/ml_approach/ml_based_pairs_selection.rst index 15808ed9..fdac1c70 100644 --- a/docs/source/ml_approach/ml_based_pairs_selection.rst +++ b/docs/source/ml_approach/ml_based_pairs_selection.rst @@ -223,3 +223,23 @@ The following research notebook can be used to better understand the Pairs Selec * `ML based Pairs Selection`_ .. _`ML based Pairs Selection`: https://github.com/Hudson-and-Thames-Clients/arbitrage_research/blob/master/ml_approach/ml_based_pairs_selection.ipynb + + +References +########## + +* `Sarmento, S.M. and Horta, N., A Machine Learning based Pairs Trading Investment Strategy. `__ + +* `Avellaneda, M. and Lee, J.H., 2010. Statistical arbitrage in the US equities market. Quantitative Finance, 10(7), pp.761-782. `_ + +* `Bellman, R., 1966. Dynamic programming. Science, 153(3731), pp.34-37. `__ + +* `Berkhin, P., 2006. A survey of clustering data mining techniques. In Grouping multidimensional data (pp. 25-71). Springer, Berlin, Heidelberg. `__ + +* `Rahmah, N. and Sitanggang, I.S., 2016, January. Determination of optimal epsilon (eps) value on dbscan algorithm to clustering data on peatland hotspots in sumatra. In IOP Conference Series: Earth and Environmental Science (Vol. 31, No. 1, p. 012012). IOP Publishing. `__ + +* `Armstrong, J.S. ed., 2001. Principles of forecasting: a handbook for researchers and practitioners (Vol. 30). Springer Science & Business Media. `__ + +* `Hoel, C.H., 2013. Statistical arbitrage pairs: can cointegration capture market neutral profits? (Master's thesis). `__ + +* `Gregory, I., Ewald, C.O. and Knox, P., 2010, November. Analytical pairs trading under different assumptions on the spread and ratio dynamics. In 23rd Australasian Finance and Banking Conference. `__ diff --git a/tests/test_data/data.csv b/tests/test_data/sp100_prices.csv similarity index 100% rename from tests/test_data/data.csv rename to tests/test_data/sp100_prices.csv diff --git a/tests/test_data_importer.py b/tests/test_data_importer.py index 26dde4e8..d35463eb 100644 --- a/tests/test_data_importer.py +++ b/tests/test_data_importer.py @@ -1,17 +1,17 @@ # Copyright 2019, Hudson and Thames Quantitative Research # All rights reserved -# Read more: https://github.com/hudson-and-thames/arbitragelab/blob/master/LICENSE.txt +# Read more: https://hudson-and-thames-arbitragelab.readthedocs-hosted.com/en/latest/additional_information/license.html """ Tests functionality of Data Importer: util/data_importer.py """ + import os import unittest import pandas as pd import numpy as np from arbitragelab.util import DataImporter - class TestDataImporter(unittest.TestCase): """ Tests Data Importer class. @@ -24,7 +24,7 @@ def setUp(self): np.random.seed(0) project_path = os.path.dirname(__file__) - data_path = project_path + '/test_data/data.csv' + data_path = project_path + '/test_data/sp100_prices.csv' self.data = pd.read_csv(data_path, parse_dates=True, index_col="Date") self.data.dropna(inplace=True) @@ -41,11 +41,16 @@ def test_preprocessing_methods(self): Tests preprocessing methods. """ + # Generate a valid DataFrame full of ones. sample_df = pd.DataFrame(data=np.ones((200, 20))) + # Append a column with contents of nan values. sample_df[20] = np.nan + # Assert that the remove_nuns method removes the last column. self.assertEqual(len(DataImporter.remove_nuns(sample_df).columns), 20) + # Get the first column from the dataset, process to returns and check + # its mean. returns_mean = DataImporter.get_returns_data(self.data.iloc[:, 1]).mean() self.assertAlmostEqual(returns_mean, 0, places=1) @@ -55,6 +60,7 @@ def test_price_retriever(self): Tests asset prices retriever. """ + # Download a year worth of GOOG daily price data and check it's length. price_df = DataImporter.get_price_data('GOOG', '2015-01-01', '2016-01-01', '1d') self.assertTrue(len(price_df) > 200) @@ -66,11 +72,14 @@ def test_ticker_sector_info(): data_importer = DataImporter() + # Make the expected sector info DataFrame, that has the basic structure of columns + # as follows: [ticker_symbol, industry, sector]. expected_result = pd.DataFrame(data=[ ('GOOG', 'Internet Content & Information', 'Communication Services'), ('FB', 'Internet Content & Information', 'Communication Services') ]) expected_result.columns = ['ticker', 'industry', 'sector'] + # Call the get_ticker_sector_info method to request the necessary data. augmented_ticker_df = data_importer.get_ticker_sector_info(['GOOG', 'FB'], 1) pd.testing.assert_frame_equal(augmented_ticker_df, expected_result) diff --git a/tests/test_indexed_highlight.py b/tests/test_indexed_highlight.py index 4d9a1e01..335957c2 100644 --- a/tests/test_indexed_highlight.py +++ b/tests/test_indexed_highlight.py @@ -1,11 +1,12 @@ # Copyright 2019, Hudson and Thames Quantitative Research # All rights reserved -# Read more: https://github.com/hudson-and-thames/arbitragelab/blob/master/LICENSE.txt +# Read more: https://hudson-and-thames-arbitragelab.readthedocs-hosted.com/en/latest/additional_information/license.html """ Tests functionality of Indexed Highlighter: utils/indexed_highlight.py """ +import warnings import unittest from unittest.mock import Mock @@ -21,6 +22,10 @@ def setUp(self): Tests Initial instantiation of the IndexedHighlighter class. """ + # This is here to hide 'deprecated in Matplotlib 3.1' warnings. The + # functions mentioned here are needed for backward compatibility. + warnings.simplefilter("ignore") + placeholder_annotation = Mock() placeholder_annotation.xyann = [0, 0] diff --git a/tests/test_pairs_selector.py b/tests/test_pairs_selector.py index f047008e..63c378a6 100644 --- a/tests/test_pairs_selector.py +++ b/tests/test_pairs_selector.py @@ -1,6 +1,6 @@ # Copyright 2019, Hudson and Thames Quantitative Research # All rights reserved -# Read more: https://github.com/hudson-and-thames/arbitragelab/blob/master/LICENSE.txt +# Read more: https://hudson-and-thames-arbitragelab.readthedocs-hosted.com/en/latest/additional_information/license.html """ Tests function of ML Pairs Selection module: ml_approach/pairs_selector.py @@ -28,7 +28,7 @@ def setUp(self): np.random.seed(0) project_path = os.path.dirname(__file__) - data_path = project_path + '/test_data/data.csv' + data_path = project_path + '/test_data/sp100_prices.csv' self.data = pd.read_csv(data_path, parse_dates=True, index_col="Date") self.data.dropna(inplace=True) self.pair_selector = PairsSelector(self.data) @@ -67,21 +67,21 @@ def test_clustering(self): # Test Optics clustering without any price data. with self.assertRaises(Exception): pair_selector = PairsSelector(None) - pair_selector.cluster_using_optics({}) + pair_selector.cluster_using_optics() # Test Dbscan clustering without any price data. with self.assertRaises(Exception): pair_selector = PairsSelector(None) - pair_selector.cluster_using_dbscan({}) + pair_selector.cluster_using_dbscan() self.pair_selector.dimensionality_reduction_by_components(2) # Test number of generate clusters from the methods offered. - self.pair_selector.cluster_using_optics({'min_samples': 3}) + self.pair_selector.cluster_using_optics(min_samples=3) self.assertEqual(len(np.unique(self.pair_selector.clust_labels_)), 16) - self.pair_selector.cluster_using_dbscan({'eps': 0.03, 'min_samples': 3}) + self.pair_selector.cluster_using_dbscan(eps=0.03, min_samples=3) self.assertEqual(len(np.unique(self.pair_selector.clust_labels_)), 1) def test_generate_pairwise_combinations(self): @@ -91,7 +91,7 @@ def test_generate_pairwise_combinations(self): # Setup initial variables needed for the test. self.pair_selector.dimensionality_reduction_by_components(2) - self.pair_selector.cluster_using_optics({'min_samples': 3}) + self.pair_selector.cluster_using_optics(min_samples=3) init_labels = self.pair_selector.clust_labels_ c_labels = np.unique(init_labels[init_labels != -1]) @@ -114,7 +114,7 @@ def test_hurst_criterion(self): # Setup initial variables needed for the test. self.pair_selector.dimensionality_reduction_by_components(2) - self.pair_selector.cluster_using_optics({'min_samples': 3}) + self.pair_selector.cluster_using_optics(min_samples=3) # Setup needed information to validate the hurst criterion return. hedge_ratios = [0.832406370860649, 70] @@ -137,7 +137,7 @@ def test_final_criterions(self): # Setup initial variables needed for the test. self.pair_selector.dimensionality_reduction_by_components(2) - self.pair_selector.cluster_using_optics({'min_samples': 3}) + self.pair_selector.cluster_using_optics(min_samples=3) hedge_ratios = [0.832406370860649, 70] idx = [('A', 'AVB'), ('ABMD', 'AZO')] @@ -171,7 +171,7 @@ def test_criterion_selector(self): # Setup initial variables needed for the test. self.pair_selector.dimensionality_reduction_by_components(2) - self.pair_selector.cluster_using_optics({'min_samples': 3}) + self.pair_selector.cluster_using_optics(min_samples=3) final_pairs = [('BA', 'CF')] coint_pairs = [('ABMD', 'AZO'), ('AES', 'BBY'), ('BKR', 'CE')] @@ -279,7 +279,7 @@ def test_plotting_methods(self): # Setup initial variables needed for the test. self.pair_selector.dimensionality_reduction_by_components(1) - self.pair_selector.cluster_using_optics({'min_samples': 3}) + self.pair_selector.cluster_using_optics(min_samples=3) # Test knee plot return object. knee_plot_pyplot_obj = self.pair_selector.plot_knee_plot() From 0a1d6fe454daa89bd088a1f902a421a0a82d1a07 Mon Sep 17 00:00:00 2001 From: PanPip Date: Tue, 24 Nov 2020 16:42:58 +0100 Subject: [PATCH 28/29] Added progress bar to Select Pairs step - ML Pairs Selection --- arbitragelab/ml_approach/stat_arb_utils.py | 40 ++++++++++++++++++++-- 1 file changed, 38 insertions(+), 2 deletions(-) diff --git a/arbitragelab/ml_approach/stat_arb_utils.py b/arbitragelab/ml_approach/stat_arb_utils.py index 9838400e..6fa041de 100644 --- a/arbitragelab/ml_approach/stat_arb_utils.py +++ b/arbitragelab/ml_approach/stat_arb_utils.py @@ -5,6 +5,7 @@ This module houses utility functions used by the PairsSelector. """ +import sys import pandas as pd import numpy as np import statsmodels.api as sm @@ -12,8 +13,37 @@ from statsmodels.tsa.stattools import adfuller from scipy.odr import ODR, Model, RealData + +def _print_progress(iteration, max_iterations, prefix='', suffix='', decimals=1, bar_length=50): + # pylint: disable=expression-not-assigned + """ + Calls in a loop to create a terminal progress bar. + https://gist.github.com/aubricus/f91fb55dc6ba5557fbab06119420dd6a + :param iteration: (int) Current iteration. + :param max_iterations: (int) Maximum number of iterations. + :param prefix: (str) Prefix string. + :param suffix: (str) Suffix string. + :param decimals: (int) Positive number of decimals in percent completed. + :param bar_length: (int) Character length of the bar. + """ + str_format = "{0:." + str(decimals) + "f}" + # Calculate the percent completed. + percents = str_format.format(100 * (iteration / float(max_iterations))) + # Calculate the length of bar. + filled_length = int(round(bar_length * iteration / float(max_iterations))) + # Fill the bar. + block = '█' * filled_length + '-' * (bar_length - filled_length) + # Print new line. + sys.stdout.write('\r%s |%s| %s%s %s' % (prefix, block, percents, '%', suffix)), + + if iteration == max_iterations: + sys.stdout.write('\n') + sys.stdout.flush() + + def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, cross_overs_per_delta: int, molecule: list) -> pd.DataFrame: + # pylint: disable=too-many-locals """ This function gets mean reversion calculations (half-life and number of mean cross overs) for each pair in the molecule. Uses the linear regression @@ -34,7 +64,7 @@ def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, ou_results = [] - for pair in molecule: + for iteration, pair in enumerate(molecule): spread = spreads_df.loc[:, str(pair)] lagged_spread = spread.shift(1).dropna(0) @@ -73,6 +103,9 @@ def _outer_ou_loop(spreads_df: pd.DataFrame, test_period: str, # Append half-life and number of cross overs. ou_results.append([np.log(2) / abs(res.params[0]), cross_overs]) + _print_progress(iteration + 1, len(molecule), prefix='Outer OU Loop Progress:', + suffix='Complete') + return pd.DataFrame(ou_results, index=molecule, columns=['hl', 'crossovers']) def _linear_f(beta: np.array, x_variable: np.array) -> np.array: @@ -98,7 +131,7 @@ def _outer_cointegration_loop(prices_df: pd.DataFrame, molecule: list) -> pd.Dat cointegration_results = [] - for pair in molecule: + for iteration, pair in enumerate(molecule): maxlag = None autolag = "aic" trend = "c" @@ -116,6 +149,9 @@ def _outer_cointegration_loop(prices_df: pd.DataFrame, molecule: list) -> pd.Dat cointegration_results.append((res_adf[0], pval_asy, res_co.beta[0], res_co.beta[1])) + _print_progress(iteration + 1, len(molecule), prefix='Outer Cointegration Loop Progress:', + suffix='Complete') + return pd.DataFrame(cointegration_results, index=molecule, columns=['coint_t', 'pvalue', 'hedge_ratio', 'constant']) From d743cd6fcbf456b41de4c9e611849e098bc9dd5e Mon Sep 17 00:00:00 2001 From: AaronDeb Date: Thu, 26 Nov 2020 11:28:51 +0100 Subject: [PATCH 29/29] Added my changes to changelog --- docs/source/changelog.rst | 2 ++ 1 file changed, 2 insertions(+) diff --git a/docs/source/changelog.rst b/docs/source/changelog.rst index c98f5bfc..0220a713 100644 --- a/docs/source/changelog.rst +++ b/docs/source/changelog.rst @@ -31,3 +31,5 @@ Changelog * :support:`17` Added Licence, ReadMe, and RoadMap * :support:`20` Added API Key Validation. * :support:`20` Add install documentation and test on OS/Ubuntu/Windows. +* :feature:`5` ML Based Pairs Selection (Horta, 2020) and Data Importer added. +* :support:`5` ML Based Pairs Selection and Data Importer documentation.