.. note::
    :class: sphx-glr-download-link-note

    Click :ref:`here <sphx_glr_download_auto_examples_classification_plot_classification_probability.py>` to download the full example code
.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_classification_plot_classification_probability.py:


===============================
Plot classification probability
===============================

Plot the classification probability for different classifiers. We use a 3 class
dataset, and we classify it with a Support Vector classifier, L1 and L2
penalized logistic regression with either a One-Vs-Rest or multinomial setting,
and Gaussian process classification.

Linear SVC is not a probabilistic classifier by default but it has a built-in
calibration option enabled in this example (`probability=True`).

The logistic regression with One-Vs-Rest is not a multiclass classifier out of
the box. As a result it has more trouble in separating class 2 and 3 than the
other estimators.




.. image:: /auto_examples/classification/images/sphx_glr_plot_classification_probability_001.png
    :class: sphx-glr-single-img


.. rst-class:: sphx-glr-script-out

 Out:

 .. code-block:: none

    Accuracy (train) for L1 logistic: 82.7% 
    Accuracy (train) for L2 logistic (Multinomial): 82.7% 
    Accuracy (train) for L2 logistic (OvR): 79.3% 
    Accuracy (train) for Linear SVC: 82.0% 
    Accuracy (train) for GPC: 82.7%




|


.. code-block:: python

    print(__doc__)

    # Author: Alexandre Gramfort <alexandre.gramfort@inria.fr>
    # License: BSD 3 clause

    import matplotlib.pyplot as plt
    import numpy as np

    from sklearn.metrics import accuracy_score
    from sklearn.linear_model import LogisticRegression
    from sklearn.svm import SVC
    from sklearn.gaussian_process import GaussianProcessClassifier
    from sklearn.gaussian_process.kernels import RBF
    from sklearn import datasets

    iris = datasets.load_iris()
    X = iris.data[:, 0:2]  # we only take the first two features for visualization
    y = iris.target

    n_features = X.shape[1]

    C = 10
    kernel = 1.0 * RBF([1.0, 1.0])  # for GPC

    # Create different classifiers.
    classifiers = {
        'L1 logistic': LogisticRegression(C=C, penalty='l1',
                                          solver='saga',
                                          multi_class='multinomial',
                                          max_iter=10000),
        'L2 logistic (Multinomial)': LogisticRegression(C=C, penalty='l2',
                                                        solver='saga',
                                                        multi_class='multinomial',
                                                        max_iter=10000),
        'L2 logistic (OvR)': LogisticRegression(C=C, penalty='l2',
                                                solver='saga',
                                                multi_class='ovr',
                                                max_iter=10000),
        'Linear SVC': SVC(kernel='linear', C=C, probability=True,
                          random_state=0),
        'GPC': GaussianProcessClassifier(kernel)
    }

    n_classifiers = len(classifiers)

    plt.figure(figsize=(3 * 2, n_classifiers * 2))
    plt.subplots_adjust(bottom=.2, top=.95)

    xx = np.linspace(3, 9, 100)
    yy = np.linspace(1, 5, 100).T
    xx, yy = np.meshgrid(xx, yy)
    Xfull = np.c_[xx.ravel(), yy.ravel()]

    for index, (name, classifier) in enumerate(classifiers.items()):
        classifier.fit(X, y)

        y_pred = classifier.predict(X)
        accuracy = accuracy_score(y, y_pred)
        print("Accuracy (train) for %s: %0.1f%% " % (name, accuracy * 100))

        # View probabilities:
        probas = classifier.predict_proba(Xfull)
        n_classes = np.unique(y_pred).size
        for k in range(n_classes):
            plt.subplot(n_classifiers, n_classes, index * n_classes + k + 1)
            plt.title("Class %d" % k)
            if k == 0:
                plt.ylabel(name)
            imshow_handle = plt.imshow(probas[:, k].reshape((100, 100)),
                                       extent=(3, 9, 1, 5), origin='lower')
            plt.xticks(())
            plt.yticks(())
            idx = (y_pred == k)
            if idx.any():
                plt.scatter(X[idx, 0], X[idx, 1], marker='o', c='w', edgecolor='k')

    ax = plt.axes([0.15, 0.04, 0.7, 0.05])
    plt.title("Probability")
    plt.colorbar(imshow_handle, cax=ax, orientation='horizontal')

    plt.show()

**Total running time of the script:** ( 0 minutes  1.942 seconds)


.. _sphx_glr_download_auto_examples_classification_plot_classification_probability.py:


.. only :: html

 .. container:: sphx-glr-footer
    :class: sphx-glr-footer-example



  .. container:: sphx-glr-download

     :download:`Download Python source code: plot_classification_probability.py <plot_classification_probability.py>`



  .. container:: sphx-glr-download

     :download:`Download Jupyter notebook: plot_classification_probability.ipynb <plot_classification_probability.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.readthedocs.io>`_
