.. DO NOT EDIT. .. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. .. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: .. "auto_examples/linear_model/plot_sparse_logistic_regression_20newsgroups.py" .. LINE NUMBERS ARE GIVEN BELOW. .. only:: html .. note:: :class: sphx-glr-download-link-note Click :ref:`here ` to download the full example code or to run this example in your browser via Binder .. rst-class:: sphx-glr-example-title .. _sphx_glr_auto_examples_linear_model_plot_sparse_logistic_regression_20newsgroups.py: ==================================================== Multiclass sparse logistic regression on 20newgroups ==================================================== Comparison of multinomial logistic L1 vs one-versus-rest L1 logistic regression to classify documents from the newgroups20 dataset. Multinomial logistic regression yields more accurate results and is faster to train on the larger scale dataset. Here we use the l1 sparsity that trims the weights of not informative features to zero. This is good if the goal is to extract the strongly discriminative vocabulary of each class. If the goal is to get the best predictive accuracy, it is better to use the non sparsity-inducing l2 penalty instead. A more traditional (and possibly better) way to predict on a sparse subset of input features would be to use univariate feature selection followed by a traditional (l2-penalised) logistic regression model. .. GENERATED FROM PYTHON SOURCE LINES 21-118 .. image:: /auto_examples/linear_model/images/sphx_glr_plot_sparse_logistic_regression_20newsgroups_001.png :alt: Multinomial vs One-vs-Rest Logistic L1 Dataset 20newsgroups :class: sphx-glr-single-img .. rst-class:: sphx-glr-script-out Out: .. code-block:: none Dataset 20newsgroup, train_samples=9000, n_features=130107, n_classes=20 [model=One versus Rest, solver=saga] Number of epochs: 1 [model=One versus Rest, solver=saga] Number of epochs: 2 [model=One versus Rest, solver=saga] Number of epochs: 4 Test accuracy for model ovr: 0.7490 % non-zero coefficients for model ovr, per class: [0.31743104 0.36815852 0.4181174 0.46115889 0.24595141 0.41350581 0.31281945 0.27054655 0.58720899 0.32972861 0.4158116 0.3312658 0.41888599 0.41120001 0.59643217 0.31666244 0.34279478 0.28130692 0.35278655 0.24748861] Run time (4 epochs) for model ovr:4.00 [model=Multinomial, solver=saga] Number of epochs: 1 [model=Multinomial, solver=saga] Number of epochs: 3 [model=Multinomial, solver=saga] Number of epochs: 7 Test accuracy for model multinomial: 0.7450 % non-zero coefficients for model multinomial, per class: [0.13219888 0.11452112 0.13066169 0.13681047 0.12066991 0.15909982 0.13450468 0.09146318 0.07916561 0.12143851 0.13911627 0.10760374 0.18984374 0.12143851 0.17524038 0.22289346 0.11605832 0.07916561 0.07301682 0.15141384] Run time (7 epochs) for model multinomial:3.65 Example run in 15.015 s | .. code-block:: default import timeit import warnings import matplotlib.pyplot as plt import numpy as np from sklearn.datasets import fetch_20newsgroups_vectorized from sklearn.linear_model import LogisticRegression from sklearn.model_selection import train_test_split from sklearn.exceptions import ConvergenceWarning print(__doc__) # Author: Arthur Mensch warnings.filterwarnings("ignore", category=ConvergenceWarning, module="sklearn") t0 = timeit.default_timer() # We use SAGA solver solver = 'saga' # Turn down for faster run time n_samples = 10000 X, y = fetch_20newsgroups_vectorized(subset='all', return_X_y=True) X = X[:n_samples] y = y[:n_samples] X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=42, stratify=y, test_size=0.1) train_samples, n_features = X_train.shape n_classes = np.unique(y).shape[0] print('Dataset 20newsgroup, train_samples=%i, n_features=%i, n_classes=%i' % (train_samples, n_features, n_classes)) models = {'ovr': {'name': 'One versus Rest', 'iters': [1, 2, 4]}, 'multinomial': {'name': 'Multinomial', 'iters': [1, 3, 7]}} for model in models: # Add initial chance-level values for plotting purpose accuracies = [1 / n_classes] times = [0] densities = [1] model_params = models[model] # Small number of epochs for fast runtime for this_max_iter in model_params['iters']: print('[model=%s, solver=%s] Number of epochs: %s' % (model_params['name'], solver, this_max_iter)) lr = LogisticRegression(solver=solver, multi_class=model, penalty='l1', max_iter=this_max_iter, random_state=42, ) t1 = timeit.default_timer() lr.fit(X_train, y_train) train_time = timeit.default_timer() - t1 y_pred = lr.predict(X_test) accuracy = np.sum(y_pred == y_test) / y_test.shape[0] density = np.mean(lr.coef_ != 0, axis=1) * 100 accuracies.append(accuracy) densities.append(density) times.append(train_time) models[model]['times'] = times models[model]['densities'] = densities models[model]['accuracies'] = accuracies print('Test accuracy for model %s: %.4f' % (model, accuracies[-1])) print('%% non-zero coefficients for model %s, ' 'per class:\n %s' % (model, densities[-1])) print('Run time (%i epochs) for model %s:' '%.2f' % (model_params['iters'][-1], model, times[-1])) fig = plt.figure() ax = fig.add_subplot(111) for model in models: name = models[model]['name'] times = models[model]['times'] accuracies = models[model]['accuracies'] ax.plot(times, accuracies, marker='o', label='Model: %s' % name) ax.set_xlabel('Train time (s)') ax.set_ylabel('Test accuracy') ax.legend() fig.suptitle('Multinomial vs One-vs-Rest Logistic L1\n' 'Dataset %s' % '20newsgroups') fig.tight_layout() fig.subplots_adjust(top=0.85) run_time = timeit.default_timer() - t0 print('Example run in %.3f s' % run_time) plt.show() .. rst-class:: sphx-glr-timing **Total running time of the script:** ( 0 minutes 15.094 seconds) .. _sphx_glr_download_auto_examples_linear_model_plot_sparse_logistic_regression_20newsgroups.py: .. only :: html .. container:: sphx-glr-footer :class: sphx-glr-footer-example .. container:: binder-badge .. image:: images/binder_badge_logo.svg :target: https://mybinder.org/v2/gh/scikit-learn/scikit-learn/0.24.X?urlpath=lab/tree/notebooks/auto_examples/linear_model/plot_sparse_logistic_regression_20newsgroups.ipynb :alt: Launch binder :width: 150 px .. container:: sphx-glr-download sphx-glr-download-python :download:`Download Python source code: plot_sparse_logistic_regression_20newsgroups.py ` .. container:: sphx-glr-download sphx-glr-download-jupyter :download:`Download Jupyter notebook: plot_sparse_logistic_regression_20newsgroups.ipynb ` .. only:: html .. rst-class:: sphx-glr-signature `Gallery generated by Sphinx-Gallery `_