import matplotlib.pyplot as plt import numpy as np from sklearn.datasets import load_digits from sklearn.model_selection import ShuffleSplit from sklearn.model_selection import learning_curve from sklearn.naive_bayes import GaussianNB from sklearn.svm import SVC from trains import Task def plot_learning_curve(estimator, title, X, y, axes=None, ylim=None, cv=None, n_jobs=None, train_sizes=np.linspace(.1, 1.0, 5)): """ Generate 3 plots: the test and training learning curve, the training samples vs fit times curve, the fit times vs score curve. Parameters ---------- estimator : object type that implements the "fit" and "predict" methods An object of that type which is cloned for each validation. title : string Title for the chart. X : array-like, shape (n_samples, n_features) Training vector, where n_samples is the number of samples and n_features is the number of features. y : array-like, shape (n_samples) or (n_samples, n_features), optional Target relative to X for classification or regression; None for unsupervised learning. axes : array of 3 axes, optional (default=None) Axes to use for plotting the curves. ylim : tuple, shape (ymin, ymax), optional Defines minimum and maximum yvalues plotted. cv : int, cross-validation generator or an iterable, optional Determines the cross-validation splitting strategy. Possible inputs for cv are: - None, to use the default 5-fold cross-validation, - integer, to specify the number of folds. - :term:`CV splitter`, - An iterable yielding (train, test) splits as arrays of indices. For integer/None inputs, if ``y`` is binary or multiclass, :class:`StratifiedKFold` used. If the estimator is not a classifier or if ``y`` is neither binary nor multiclass, :class:`KFold` is used. Refer :ref:`User Guide ` for the various cross-validators that can be used here. n_jobs : int or None, optional (default=None) Number of jobs to run in parallel. ``None`` means 1 unless in a :obj:`joblib.parallel_backend` context. ``-1`` means using all processors. See :term:`Glossary ` for more details. train_sizes : array-like, shape (n_ticks,), dtype float or int Relative or absolute numbers of training examples that will be used to generate the learning curve. If the dtype is float, it is regarded as a fraction of the maximum size of the training set (that is determined by the selected validation method), i.e. it has to be within (0, 1]. Otherwise it is interpreted as absolute sizes of the training sets. Note that for classification the number of samples usually have to be big enough to contain at least one sample from each class. (default: np.linspace(0.1, 1.0, 5)) """ if axes is None: _, axes = plt.subplots(1, 3, figsize=(20, 5)) axes[0].set_title(title) if ylim is not None: axes[0].set_ylim(*ylim) axes[0].set_xlabel("Training examples") axes[0].set_ylabel("Score") train_sizes, train_scores, test_scores, fit_times, _ = \ learning_curve(estimator, X, y, cv=cv, n_jobs=n_jobs, train_sizes=train_sizes, return_times=True) train_scores_mean = np.mean(train_scores, axis=1) train_scores_std = np.std(train_scores, axis=1) test_scores_mean = np.mean(test_scores, axis=1) test_scores_std = np.std(test_scores, axis=1) fit_times_mean = np.mean(fit_times, axis=1) fit_times_std = np.std(fit_times, axis=1) # Plot learning curve axes[0].grid() axes[0].fill_between(train_sizes, train_scores_mean - train_scores_std, train_scores_mean + train_scores_std, alpha=0.1, color="r") axes[0].fill_between(train_sizes, test_scores_mean - test_scores_std, test_scores_mean + test_scores_std, alpha=0.1, color="g") axes[0].plot(train_sizes, train_scores_mean, 'o-', color="r", label="Training score") axes[0].plot(train_sizes, test_scores_mean, 'o-', color="g", label="Cross-validation score") axes[0].legend(loc="best") # Plot n_samples vs fit_times axes[1].grid() axes[1].plot(train_sizes, fit_times_mean, 'o-') axes[1].fill_between(train_sizes, fit_times_mean - fit_times_std, fit_times_mean + fit_times_std, alpha=0.1) axes[1].set_xlabel("Training examples") axes[1].set_ylabel("fit_times") axes[1].set_title("Scalability of the model") # Plot fit_time vs score axes[2].grid() axes[2].plot(fit_times_mean, test_scores_mean, 'o-') axes[2].fill_between(fit_times_mean, test_scores_mean - test_scores_std, test_scores_mean + test_scores_std, alpha=0.1) axes[2].set_xlabel("fit_times") axes[2].set_ylabel("Score") axes[2].set_title("Performance of the model") return plt Task.init('examples', 'scikit-learn matplotlib example') fig, fig_axes = plt.subplots(1, 3, figsize=(30, 10)) X, y = load_digits(return_X_y=True) title = "Learning Curves (Naive Bayes)" # Cross validation with 100 iterations to get smoother mean test and train # score curves, each time with 20% data randomly selected as a validation set. cv = ShuffleSplit(n_splits=100, test_size=0.2, random_state=0) estimator = GaussianNB() plot_learning_curve(estimator, title, X, y, axes=fig_axes, ylim=(0.7, 1.01), cv=cv, n_jobs=4) plt.show() fig, fig_axes = plt.subplots(1, 3, figsize=(30, 10)) title = r"Learning Curves (SVM, RBF kernel, $\gamma=0.001$)" # SVC is more expensive so we do a lower number of CV iterations: cv = ShuffleSplit(n_splits=10, test_size=0.2, random_state=0) estimator = SVC(gamma=0.001) plot_learning_curve(estimator, title, X, y, axes=fig_axes, ylim=(0.7, 1.01), cv=cv, n_jobs=4) plt.show() print('done')