diff --git a/docs/Tutorial_MPdist.ipynb b/docs/Tutorial_MPdist.ipynb new file mode 100644 index 000000000..7c55f7e68 --- /dev/null +++ b/docs/Tutorial_MPdist.ipynb @@ -0,0 +1,374 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Clustering Time Series using MPdist\n", + "\n", + "This tutorial replicates figure 5 from [Matrix Profile XII](https://ueaeprints.uea.ac.uk/id/eprint/69244/1/ICDM_2018_Shaghayegh.pdf). The figure compares results from hierarchical clustering time series under two different measures: the Euclidean distance and matrix profile distance (MPdist).\n", + "\n", + "### What is MPdist?\n", + "\n", + "Informally, MPdist can be described as encoding the similarity of the two time series by determining whether most - as parameterized by a threshold - of its subsequences are similar. For instance, if two time series is made up of the same repeating subsequences of window length `m`, then they would MPdist of 0 (if window size for MPdist is set to `m`), even if they are phase shifted. On the other hand, the Euclidean distance would be non-zero as long as they are phase shifted.\n", + "\n", + "More concretely, given a threshold `percentage` and window length `m`, the MPdist between two time series is the smallest number such that it is higher than the specified `percentage` of the pairwise distances in the join matrix profile for the two time series parameterized by window size `m`. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Getting Started\n", + "\n", + "We begin by importing STUMPY and some relevant packages for loading and analyzing the data." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import stumpy\n", + "\n", + "# Data loading\n", + "from scipy.io import loadmat\n", + "from zipfile import ZipFile\n", + "from urllib.request import urlopen\n", + "import io\n", + "import ssl\n", + "\n", + "# Data processing, clustering and plotting\n", + "from scipy.cluster.hierarchy import dendrogram, linkage\n", + "from scipy.spatial.distance import squareform\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib.gridspec as gridspec\n", + "\n", + "# Configuration\n", + "plt.style.use(\"https://raw.githubusercontent.com/TDAmeritrade/stumpy/main/docs/stumpy.mplstyle\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Before diving into our main example, we would like to test our initial assertion that two phase-shifted time series with the same repeating subsequence would have MPdist 0. Here we generate a random motif of length 20 repeated 5 times. Then, we take two subsequence from within this so that they are just phase shifted form of each other. Despite being very similar to each other, we immediately notice that the Euclidean distance is non-zero. However, due to our definition of MPdist, each subsequnce of length 20 (or even higher window length) would have a subsequence that exactly matches that in the other time series. So, MPdist here is 0. Although this is a contrived example, it illustrates the limitation of using Euclidean distance to encode similarity between time series.\n", + "\n", + "We use a slightly higher window length, 30, than the original motif and use a threshold of 0.05." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "A large number of values are smaller than 1e-05.\n", + "For a self-join, try setting `ignore_trivial = True`.\n", + "A large number of values are smaller than 1e-05.\n", + "For a self-join, try setting `ignore_trivial = True`.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Euclidean Distance: 106.99\n", + "MPdist: 0.00\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "motif = np.floor(np.random.rand(20) * 50)\n", + "base = np.tile(motif, 5) # generates a longer sequence to choose two phase-shifted subsequences from\n", + "\n", + "t_1 = base[:50]\n", + "t_2 = base[15:65]\n", + "\n", + "fig, axs = plt.subplots(2, sharex=True, gridspec_kw={'hspace': 0.2})\n", + "plt.suptitle('Phase-shifted Random Motif', fontsize='30')\n", + "\n", + "axs[1].set_xlabel('Time')\n", + "axs[0].set_ylabel('Random Value')\n", + "axs[1].set_ylabel('Random Value')\n", + "\n", + "axs[0].plot(t_1)\n", + "axs[1].plot(t_2)\n", + "\n", + "euc_dist = np.linalg.norm(t_1 - t_2)\n", + "mp_dist = stumpy.mpdist(t_1, t_2, 30, percentage=0.05)\n", + "\n", + "print(\"Euclidean Distance: {:.2f}\".format(euc_dist))\n", + "print(\"MPdist: {:.2f}\".format(mp_dist))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Loading the data\n", + "\n", + "We load the data from the [companion website](https://sites.google.com/site/mpdistinfo) of the MPdist paper as numpy arrays. The dataset is for handwriting data for some common American names." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "context = ssl.SSLContext() # Ignore SSL certificate verification for simplicity\n", + "\n", + "fzip = ZipFile(io.BytesIO(urlopen(\"https://sites.google.com/site/mpdistinfo/home/words_dendrogram.zip?attredirects=0&d=1\").read()))\n", + "mat = fzip.extract(\"words_dendrogram/LisaBeth/MaryBethAnhLisa_data.mat\")\n", + "raw_data = loadmat(mat)['XSsY4']\n", + "\n", + "# The order in which we want the time series to be displayed\n", + "ordered_names = [\"Maryanne\", \"Mary\", \"Anne\", \"Lisabeth\", \"Lisa\", \"Beth\"]\n", + "\n", + "# The data for the time series themselves\n", + "data = {}\n", + "for i in range(raw_data[0].shape[0]):\n", + " name = raw_data[1][i][0].replace(\"nh\", \"nne\") # for some reason \"nne\" seems to be replaced by \"nh\" in the names\n", + " data[name] = raw_data[0][i].flatten().astype(float) \n", + "\n", + "# Compute rough offsets so that the different names can be aligned visually \n", + "offset_idx = {}\n", + "for name in ordered_names:\n", + " idx = np.arange(0, data[name].shape[0])\n", + " if name == 'Anne':\n", + " idx += data['Maryanne'].shape[0] - data['Anne'].shape[0]\n", + " elif name == 'Beth':\n", + " idx += data['Lisabeth'].shape[0] - data['Beth'].shape[0]\n", + " offset_idx[name] = idx" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We then plot these time series. Each time series corresponds to a single name indicated on the right. The Y-axis of the plot represents the vertical position of the pen over time as the names are written out in cursive form. The time series are aligned so that the similarities between parts of the names can be seen better. For instance, Anne and Maryanne shares the last three letters \"nne\" (comparison is case-sensitive )" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(len(data), sharex=True, gridspec_kw={'hspace': 0.2})\n", + "plt.suptitle('Names', fontsize='30')\n", + "\n", + "axs[-1].set_xlabel(\"Time\")\n", + "for i, name in enumerate(ordered_names):\n", + " ymax = data[name].max()\n", + " yrange = data[name].ptp()\n", + " axs[i].set_xlim(0, 300)\n", + " axs[i].plot(offset_idx[name], data[name])\n", + " axs[i].text(250, ymax - 0.7 * yrange, name, color=\"black\", fontsize=20)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Clustering the Series\n", + "\n", + "A cluster of different time series is supposed to group together time series that are more similar than others. A hierarchical cluster generalizes this notion by allowing groups to be made up of other groups. In this case, we naturally expect the time series for Anne, Mary and Maryanne to be in one cluster while those for Lisa, Beth and Lisabeth to be in a separate cluster due to them sharing part of the names. \n", + "\n", + "In order to begin clustering the series, we first compute the distance matrices. Entry `(i, j)` in a distance matrix corresponds to the distance between time series `i` and `j` under some measure. We first write a function for computing the distance matrix and a function to cluster the time series and plot them as a dendrogram." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def compute_distance_matrix(distance_function):\n", + " distance_matrix = np.zeros((len(data),len(data)))\n", + "\n", + " for i, name1 in enumerate(ordered_names):\n", + " for j, name2 in enumerate(ordered_names):\n", + " if not name2 == name1:\n", + " distance_matrix[i, j] = distance_function(data[name1], data[name2])\n", + " return distance_matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# Clusters the data and plots it from distance matrix\n", + "def plot_cluster(distance_matrix):\n", + " linked = linkage(squareform(distance_matrix), 'complete') \n", + "\n", + " fig = plt.figure(figsize=(15, 12))\n", + " outer = gridspec.GridSpec(1, 2, wspace=0.2, hspace=0.2)\n", + "\n", + "\n", + " ax = plt.Subplot(fig, outer[1])\n", + "\n", + " x = dendrogram(linked,\n", + " orientation='right',\n", + " labels=ordered_names,\n", + " distance_sort='descending',\n", + " link_color_func=lambda _: 'C0',\n", + " show_leaf_counts=False,\n", + " ax=ax)\n", + " fig.add_subplot(ax)\n", + " inner = gridspec.GridSpecFromSubplotSpec(len(data), 1, subplot_spec=outer[0],\n", + " wspace=0.1, hspace=0.1)\n", + " \n", + " for i, name in enumerate(x['ivl'][::-1]):\n", + " ax = plt.Subplot(fig, inner[i])\n", + " ax.set_xlim(0, 250)\n", + " fig.add_subplot(ax)\n", + "\n", + " ax.axis(\"off\")\n", + " ax.plot(offset_idx[name], data[name])\n", + "\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First we attempt clustering the time series under Euclidean distance. However, we immediately run into the issue of different time series having different lengths. This is because Euclidean distance requires that the points have the same dimensionality. In order to get around this, we shrink the longer time series to match the length of the shorter. We also z-normalize both of the time series as they start off at arbitrary Y position." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def shrink_ts(x, n):\n", + " idx = np.ceil(np.arange(n) * x.shape[0]/n).astype(np.int64)\n", + " return x[idx]\n", + "\n", + "def euclidean_dist(x, y):\n", + " if x.shape[0] > y.shape[0]:\n", + " x = shrink_ts(x, y.shape[0])\n", + " else:\n", + " y = shrink_ts(y, x.shape[0])\n", + " x = (x - x.mean())/x.std()\n", + " y = (y - y.mean())/y.std()\n", + " return np.linalg.norm(x - y)\n", + "\n", + "euclidean_distance_matrix = compute_distance_matrix(euclidean_dist)\n", + "plot_cluster(euclidean_distance_matrix)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we can see, the results are contrary to our expectation. For instance, Maryanne is in the same broad cluster as Beth whereas Lisabeth is in the same broad cluster as Mary - neither of which makes much sense.\n", + "\n", + "Now, we contast this result with that of MPdist. We compute MPdist by simply calling `stumpy.mpdist` with the two time series, a window length of `30` and a threshold of `0.05`." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def mpdist(x, y):\n", + " return stumpy.mpdist(x, y, 30, percentage=0.05)\n", + "mp_distance_matrix = compute_distance_matrix(mpdist)\n", + "plot_cluster(mp_distance_matrix)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is precisely the result we expected to get initially! The reason why MPdist gives the expected result and Euclidean distance fails is because Euclidean distance compares the whole time series at once whereas MPdist compares the subsequences. Moreover, one of the time series is first distorted to equalize their lengths in order to compute the Euclidean distance.\n", + "\n", + "A careful observation reveals that the hierarchical clusters slightly deviate from the original figures from the paper. For MPdist, this is because the code which generated the original figure used 0.5 as its threshold instead of 0.05 (as explained in the [supporting website](https://sites.google.com/site/mpdistinfo/)). Nevertheless, the three names (Lisa, Beth and Lisabeth) are still within the same large cluster. For Euclidean distance, this is likely due to a different method for shrinking the time series. Again, there is only a minor difference - Lisa and Beth are swapped. " + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "base" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.5" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}