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test_auc_2d_simu.py
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test_auc_2d_simu.py
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# -*- coding: utf-8 -*-
import os
import sys
import time
import operator
import warnings
import numpy as np
from itertools import product
import matplotlib.pyplot as plt
from sklearn.metrics import roc_auc_score
from sklearn.metrics import roc_curve
from sklearn.metrics import log_loss
from sklearn.metrics import f1_score
from sklearn.metrics import balanced_accuracy_score
from sklearn.linear_model import LogisticRegression
from sklearn.svm import SVC
from sklearn.linear_model import Perceptron
from sklearn.linear_model import RidgeClassifierCV
from sklearn.utils.extmath import softmax
from sklearn.preprocessing import StandardScaler
import multiprocessing
import pickle as pkl
from sklearn.datasets import make_blobs
from sklearn.datasets import make_circles
from sklearn.datasets import make_moons
try:
from libopt_auc_3 import c_opt_auc
except ImportError:
pass
if os.uname()[1] == 'baojian-ThinkPad-T540p':
root_path = '/data/auc-logistic/'
elif os.uname()[1] == 'pascal':
root_path = '/mnt/store2/baojian/data/auc-logistic/'
elif os.uname()[1].endswith('.rit.albany.edu'):
root_path = '/network/rit/lab/ceashpc/bz383376/data/auc-logistic/'
def cal_best_threshold(y_tr, scores):
"""
Chosen the threshold for prediction function by
using balanced accuracy score.
:param y_tr:
:param scores:
:return:
"""
fpr, tpr, thresholds = roc_curve(y_true=y_tr, y_score=scores)
y_pred = np.zeros_like(y_tr)
best_b_acc, best_f1, best_threshold = -1., -1., -1.0
for fpr_, tpr_, threshold in zip(fpr, tpr, thresholds):
y_pred[np.argwhere(scores < threshold)] = -1
y_pred[np.argwhere(scores >= threshold)] = 1
b_acc = balanced_accuracy_score(y_true=y_tr, y_pred=y_pred)
if best_b_acc < b_acc:
best_b_acc = b_acc
best_f1 = f1_score(y_true=y_tr, y_pred=y_pred)
best_threshold = threshold
return best_b_acc, best_f1, best_threshold
def run_algo_opt_auc(x_tr, y_tr, x_te, y_te, rand_state, results):
"""
rand_state : fix the rand_state if there is any.
"""
np.random.seed(rand_state)
w, auc, train_time = c_opt_auc(np.asarray(x_tr, dtype=np.float64), np.asarray(y_tr, dtype=np.float64), 2e-16)
scores = np.dot(x_tr, w)
auc = roc_auc_score(y_true=y_tr, y_score=scores)
b_acc, f1, threshold = cal_best_threshold(y_tr=y_tr, scores=scores)
loss = log_loss(y_true=y_tr, y_pred=softmax(np.c_[-scores, scores]))
results['opt-auc']['tr'] = {'auc': auc, 'b_acc': b_acc, 'f1': f1, 'loss': loss, 'train_time': train_time}
results['opt-auc']['w'] = w
results['opt-auc']['threshold'] = threshold
print('Opt-AUC on train auc: %.6f acc: %.6f f1: %.6f loss: %.6f train_time: %.2f'
% (auc, b_acc, f1, results['opt-auc']['tr']['loss'], train_time), flush=True)
test_time = time.time()
scores = np.dot(x_te, w)
y_pred = [1. if _ >= threshold else -1. for _ in scores]
te_re = {'auc': roc_auc_score(y_true=y_te, y_score=scores),
'b_acc': balanced_accuracy_score(y_true=y_te, y_pred=y_pred),
'f1': f1_score(y_true=y_te, y_pred=y_pred),
'loss': log_loss(y_true=y_te, y_pred=softmax(np.c_[-scores, scores]))}
results['opt-auc']['te'] = te_re
print('Opt-AUC on test auc: %.6f acc: %.6f f1: %.6f loss: %.6f test_time: %.2f'
% (results['opt-auc']['te']['auc'], results['opt-auc']['te']['b_acc'],
results['opt-auc']['te']['f1'], results['opt-auc']['te']['loss']
, time.time() - test_time), flush=True)
return results
def run_algo_lr(x_tr, y_tr, x_te, y_te, rand_state, class_weight, results):
np.random.seed(rand_state)
run_time = time.time()
lr = LogisticRegression( # without ell_2 regularization.
penalty='none', dual=False, tol=1e-5, C=1.0, fit_intercept=True,
intercept_scaling=1, class_weight=class_weight, random_state=rand_state,
solver='lbfgs', max_iter=10000, multi_class='ovr', verbose=0,
warm_start=False, n_jobs=1, l1_ratio=None)
lr.fit(X=x_tr, y=y_tr)
train_time = time.time() - run_time
name = 'lr' if class_weight is None else 'wei-lr'
results[name]['w'] = lr.coef_.flatten()
results[name]['intercept'] = lr.intercept_
results[name]['tr']['train_time'] = train_time
results[name]['tr']['auc'] = roc_auc_score(y_true=y_tr, y_score=lr.decision_function(X=x_tr))
results[name]['tr']['b_acc'] = balanced_accuracy_score(y_true=y_tr, y_pred=lr.predict(X=x_tr))
results[name]['tr']['f1'] = f1_score(y_true=y_tr, y_pred=lr.predict(X=x_tr))
results[name]['tr']['loss'] = log_loss(y_true=y_tr, y_pred=lr.predict_proba(X=x_tr))
print('LR on train auc: %.6f acc: %.6f f1: %.6f loss: %.6f run_time: %.2f '
% (results[name]['tr']['auc'], results[name]['tr']['b_acc'],
results[name]['tr']['f1'], results[name]['tr']['loss'],
time.time() - run_time), flush=True)
run_time = time.time()
results[name]['te']['auc'] = roc_auc_score(y_true=y_te, y_score=lr.decision_function(X=x_te))
results[name]['te']['b_acc'] = balanced_accuracy_score(y_true=y_te, y_pred=lr.predict(X=x_te))
results[name]['te']['f1'] = f1_score(y_true=y_te, y_pred=lr.predict(X=x_te))
results[name]['te']['loss'] = log_loss(y_true=y_te, y_pred=lr.predict_proba(X=x_te))
print('LR on test auc: %.6f acc: %.6f f1: %.6f loss: %.6f run_time: %.2f '
% (results[name]['te']['auc'], results[name]['te']['b_acc'],
results[name]['te']['f1'], results[name]['te']['loss'],
time.time() - run_time), flush=True)
return results
def run_algo_svc(x_tr, y_tr, x_te, y_te, rand_state, class_weight, results):
np.random.seed(rand_state)
run_time = time.time()
lin_svm = SVC(
C=1.0, kernel='linear', degree=3, gamma='scale',
coef0=0.0, shrinking=True, probability=False,
tol=1e-5, cache_size=2000, class_weight=class_weight,
verbose=False, max_iter=-1, decision_function_shape='ovr',
break_ties=False, random_state=rand_state)
lin_svm.fit(X=x_tr, y=y_tr)
name = 'svm' if class_weight is None else 'wei-svm'
results[name]['w'] = lin_svm.coef_.flatten()
results[name]['intercept'] = lin_svm.intercept_
decision = lin_svm.decision_function(X=x_tr)
results[name]['tr']['train_time'] = time.time() - run_time
results[name]['tr']['auc'] = roc_auc_score(y_true=y_tr, y_score=decision)
results[name]['tr']['b_acc'] = balanced_accuracy_score(y_true=y_tr, y_pred=lin_svm.predict(X=x_tr))
results[name]['tr']['f1'] = f1_score(y_true=y_tr, y_pred=lin_svm.predict(X=x_tr))
results[name]['tr']['loss'] = log_loss(y_true=y_tr, y_pred=softmax(np.c_[-decision, decision]))
print('Linear-svm on train auc: %.6f acc: %.6f f1: %.6f loss: %.6f run_time: %.2f'
% (results[name]['tr']['auc'], results[name]['tr']['b_acc'],
results[name]['tr']['f1'], results[name]['tr']['loss'],
time.time() - run_time), flush=True)
run_time = time.time()
decision = lin_svm.decision_function(X=x_te)
results[name]['te']['auc'] = roc_auc_score(y_true=y_te, y_score=decision)
results[name]['te']['b_acc'] = balanced_accuracy_score(y_true=y_te, y_pred=lin_svm.predict(X=x_te))
results[name]['te']['f1'] = f1_score(y_true=y_te, y_pred=lin_svm.predict(X=x_te))
results[name]['te']['loss'] = log_loss(y_true=y_te, y_pred=softmax(np.c_[-decision, decision]))
print('Linear-svm on train auc: %.6f acc: %.6f f1: %.6f loss: %.6f run_time: %.2f'
% (results[name]['te']['auc'], results[name]['te']['b_acc'],
results[name]['te']['f1'], results[name]['te']['loss'],
time.time() - run_time), flush=True)
return results
def run_algo_ridge(x_tr, y_tr, x_te, y_te, rand_state, class_weight, results):
np.random.seed(rand_state)
run_time = time.time()
alphas = [1e-9, 1e-8, 1e-7, 1e-6, 1e-5, 1e-4, 1e-3, 1e-2, 1e-1, 1e0]
ridge = RidgeClassifierCV(alphas=alphas, fit_intercept=True, normalize=False,
scoring=None, cv=None, class_weight=class_weight,
store_cv_values=False)
ridge.fit(X=x_tr, y=y_tr)
name = 'ridge' if class_weight is None else 'wei-ridge'
results[name]['w'] = ridge.coef_.flatten()
results[name]['intercept'] = ridge.intercept_
decision = ridge.decision_function(X=x_tr)
results[name]['tr']['train_time'] = time.time() - run_time
results[name]['tr']['auc'] = roc_auc_score(y_true=y_tr, y_score=ridge.decision_function(X=x_tr))
results[name]['tr']['b_acc'] = balanced_accuracy_score(y_true=y_tr, y_pred=ridge.predict(X=x_tr))
results[name]['tr']['f1'] = f1_score(y_true=y_tr, y_pred=ridge.predict(X=x_tr))
results[name]['tr']['loss'] = log_loss(y_true=y_tr, y_pred=softmax(np.c_[-decision, decision]))
print('Ridge on train auc: %.6f acc: %.6f f1: %.6f loss: %.6f run_time: %.2f '
% (results[name]['tr']['auc'], results[name]['tr']['b_acc'],
results[name]['tr']['f1'], results[name]['tr']['loss'],
time.time() - run_time), flush=True)
decision = ridge.decision_function(X=x_te)
results[name]['te']['auc'] = roc_auc_score(y_true=y_te, y_score=ridge.decision_function(X=x_te))
results[name]['te']['b_acc'] = balanced_accuracy_score(y_true=y_te, y_pred=ridge.predict(X=x_te))
results[name]['te']['f1'] = f1_score(y_true=y_te, y_pred=ridge.predict(X=x_te))
results[name]['te']['loss'] = log_loss(y_true=y_te, y_pred=softmax(np.c_[-decision, decision]))
print('Ridge on test auc: %.6f acc: %.6f f1: %.6f loss: %.6f run_time: %.2f'
% (results[name]['te']['auc'], results[name]['te']['b_acc'],
results[name]['te']['f1'], results[name]['te']['loss'],
time.time() - run_time), flush=True)
return results
def run_algo_perceptron(x_tr, y_tr, x_te, y_te, rand_state, class_weight, results):
np.random.seed(rand_state)
run_time = time.time()
percep = Perceptron(
penalty=None, alpha=0.0, fit_intercept=True,
max_iter=5000, tol=1e-5, shuffle=True, verbose=0, eta0=1.0,
n_jobs=1, random_state=rand_state, early_stopping=False,
n_iter_no_change=5, class_weight=class_weight, warm_start=False)
percep.fit(X=x_tr, y=y_tr)
name = 'percep' if class_weight is None else 'wei-percep'
results[name]['w'] = percep.coef_.flatten()
results[name]['intercept'] = percep.intercept_
decision = percep.decision_function(X=x_tr)
results[name]['tr']['train_time'] = time.time() - run_time
results[name]['tr']['auc'] = roc_auc_score(y_true=y_tr, y_score=percep.decision_function(X=x_tr))
results[name]['tr']['b_acc'] = balanced_accuracy_score(y_true=y_tr, y_pred=percep.predict(X=x_tr))
results[name]['tr']['f1'] = f1_score(y_true=y_tr, y_pred=percep.predict(X=x_tr))
results[name]['tr']['loss'] = log_loss(y_true=y_tr, y_pred=softmax(np.c_[-decision, decision]))
print('Perceptron on train auc: %.6f acc: %.6f f1: %.6f loss: %.6f run_time: %.2f '
% (results[name]['tr']['auc'], results[name]['tr']['b_acc'],
results[name]['tr']['f1'], results[name]['tr']['loss'],
time.time() - run_time), flush=True)
decision = percep.decision_function(X=x_te)
results[name]['te']['auc'] = roc_auc_score(y_true=y_te, y_score=percep.decision_function(X=x_te))
results[name]['te']['b_acc'] = balanced_accuracy_score(y_true=y_te, y_pred=percep.predict(X=x_te))
results[name]['te']['f1'] = f1_score(y_true=y_te, y_pred=percep.predict(X=x_te))
results[name]['te']['loss'] = log_loss(y_true=y_te, y_pred=softmax(np.c_[-decision, decision]))
print('Perceptron on test auc: %.6f acc: %.6f f1: %.6f loss: %.6f run_time: %.2f'
% (results[name]['te']['auc'], results[name]['te']['b_acc'],
results[name]['te']['f1'], results[name]['te']['loss'],
time.time() - run_time), flush=True)
return results
def make_imbalance(x_data, y_data, imbalance_ratio, rand_state):
np.random.seed(rand_state)
total_samples = 5000
posi_indices = np.argwhere(y_data > 0).flatten()
nega_indices = np.argwhere(y_data < 0).flatten()
num_posi = int(total_samples * imbalance_ratio)
num_nega = total_samples - num_posi
posi_indices = posi_indices[:num_posi]
nega_indices = nega_indices[:num_nega]
p, n = len(posi_indices), len(nega_indices)
x_p_tr, y_p_tr = x_data[posi_indices[:p // 2]], y_data[posi_indices[:p // 2]]
x_p_te, y_p_te = x_data[posi_indices[p // 2:]], y_data[posi_indices[p // 2:]]
x_n_tr, y_n_tr = x_data[nega_indices[:n // 2]], y_data[nega_indices[:n // 2]]
x_n_te, y_n_te = x_data[nega_indices[n // 2:]], y_data[nega_indices[n // 2:]]
x_tr, y_tr = np.concatenate((x_p_tr, x_n_tr)), np.concatenate((y_p_tr, y_n_tr))
x_te, y_te = np.concatenate((x_p_te, x_n_te)), np.concatenate((y_p_te, y_n_te))
pe = np.random.permutation(len(x_tr))
x_tr, y_tr = x_tr[pe], y_tr[pe]
pe = np.random.permutation(len(x_te))
x_te, y_te = x_te[pe], y_te[pe]
return x_tr, y_tr, x_te, y_te
def simulation_dataset(data_name, noise, rand_state, imbalance_ratio):
draw_fig = False
n = 10000
if data_name == 'blobs':
x_data, y_data = make_blobs(n_samples=n, n_features=2, centers=2, cluster_std=noise,
center_box=(-1.0, 1.0), shuffle=True, random_state=rand_state)
y_data[y_data == 0] = -1
if draw_fig:
plt.scatter(x_data[np.argwhere(y_data > 0), 0], x_data[np.argwhere(y_data > 0), 1], c='r')
plt.scatter(x_data[np.argwhere(y_data < 0), 0], x_data[np.argwhere(y_data < 0), 1], c='b')
plt.show()
x_data = StandardScaler().fit_transform(x_data)
elif data_name == 'circles':
x_data, y_data = make_circles(n_samples=n, shuffle=True, noise=noise, random_state=rand_state, factor=.1)
y_data[y_data == 0] = -1
if draw_fig:
plt.scatter(x_data[np.argwhere(y_data > 0), 0], x_data[np.argwhere(y_data > 0), 1], c='r')
plt.scatter(x_data[np.argwhere(y_data < 0), 0], x_data[np.argwhere(y_data < 0), 1], c='b')
plt.show()
x_data = StandardScaler().fit_transform(x_data)
elif data_name == 'moons':
x_data, y_data = make_moons(n_samples=n, shuffle=True, noise=.5, random_state=rand_state)
y_data[y_data == 0] = -1
x_data = StandardScaler().fit_transform(x_data)
else:
x_data = np.random.normal(loc=0.0, scale=1., size=5000)
y_data = np.ones(5000)
x_tr, y_tr, x_te, y_te = make_imbalance(x_data=x_data, y_data=y_data,
imbalance_ratio=imbalance_ratio, rand_state=rand_state)
return np.asarray(x_tr, dtype=np.float64), np.asarray(y_tr, dtype=np.float64), \
np.asarray(x_te, dtype=np.float64), np.asarray(y_te, dtype=np.float64)
def run_single_compare(para):
rand_state, noise, data_name, list_methods = para
np.random.seed(rand_state)
all_results = dict()
for imbalance_ratio in np.arange(0.005, 0.501, 0.005):
results = {_: {__: dict() for __ in ['tr', 'te']} for _ in list_methods}
x_tr, y_tr, x_te, y_te = simulation_dataset(data_name, noise, rand_state, imbalance_ratio)
results = run_algo_opt_auc(x_tr, y_tr, x_te, y_te, rand_state, results)
results = run_algo_lr(x_tr, y_tr, x_te, y_te, rand_state, None, results)
results = run_algo_lr(x_tr, y_tr, x_te, y_te, rand_state, 'balanced', results)
results = run_algo_svc(x_tr, y_tr, x_te, y_te, rand_state, None, results)
results = run_algo_svc(x_tr, y_tr, x_te, y_te, rand_state, 'balanced', results)
results = run_algo_ridge(x_tr, y_tr, x_te, y_te, rand_state, None, results)
results = run_algo_ridge(x_tr, y_tr, x_te, y_te, rand_state, 'balanced', results)
results = run_algo_perceptron(x_tr, y_tr, x_te, y_te, rand_state, None, results)
results = run_algo_perceptron(x_tr, y_tr, x_te, y_te, rand_state, 'balanced', results)
results = {**results, **{'x_tr': x_tr, 'y_tr': y_tr, 'x_te': x_te, 'y_te': y_te,
'data_name': data_name, 'rand_state': rand_state, 'trial_i': rand_state}}
all_results[imbalance_ratio] = results
return rand_state, all_results
def test_single():
run_single_compare((1, .1, 'blobs', ['opt-auc', 'lr', 'wei-lr', 'svm', 'wei-svm',
'ridge', 'wei-ridge', 'percep', 'wei-percep']))
def run_simulation(dataset, noise, num_cpus):
num_trials = 100
list_methods = ['opt-auc', 'lr', 'wei-lr', 'svm', 'wei-svm',
'ridge', 'wei-ridge', 'percep', 'wei-percep']
para_space = [(trial_i, noise, dataset, list_methods) for trial_i in range(num_trials)]
pool = multiprocessing.Pool(processes=num_cpus)
batch_results = pool.map(run_single_compare, para_space)
pool.close()
pool.join()
for trial_i, results in batch_results:
pkl.dump(results, open(
root_path + 'results/simu/results_simu_%s_%.2f_%02d.pkl' % (dataset, noise, trial_i), 'wb'))
def main():
run_simulation(dataset=sys.argv[1], noise=float(sys.argv[2]), num_cpus=int(sys.argv[3]))
if __name__ == '__main__':
main()