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

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

.. _sphx_glr_auto_examples_svm_plot_svm_nonlinear.py:


==============
Non-linear SVM
==============

Perform binary classification using non-linear SVC
with RBF kernel. The target to predict is a XOR of the
inputs.

The color map illustrates the decision function learned by the SVC.



.. image:: /auto_examples/svm/images/sphx_glr_plot_svm_nonlinear_001.png
    :class: sphx-glr-single-img


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

 Out:

 .. code-block:: none


    /home/circleci/project/sklearn/svm/base.py:196: FutureWarning: The default value of gamma will change from 'auto' to 'scale' in version 0.22 to account better for unscaled features. Set gamma explicitly to 'auto' or 'scale' to avoid this warning.
      "avoid this warning.", FutureWarning)
    /home/circleci/project/examples/svm/plot_svm_nonlinear.py:36: UserWarning: The following kwargs were not used by contour: 'linetypes'
      linetypes='--')





|


.. code-block:: default

    print(__doc__)

    import numpy as np
    import matplotlib.pyplot as plt
    from sklearn import svm

    xx, yy = np.meshgrid(np.linspace(-3, 3, 500),
                         np.linspace(-3, 3, 500))
    np.random.seed(0)
    X = np.random.randn(300, 2)
    Y = np.logical_xor(X[:, 0] > 0, X[:, 1] > 0)

    # fit the model
    clf = svm.NuSVC()
    clf.fit(X, Y)

    # plot the decision function for each datapoint on the grid
    Z = clf.decision_function(np.c_[xx.ravel(), yy.ravel()])
    Z = Z.reshape(xx.shape)

    plt.imshow(Z, interpolation='nearest',
               extent=(xx.min(), xx.max(), yy.min(), yy.max()), aspect='auto',
               origin='lower', cmap=plt.cm.PuOr_r)
    contours = plt.contour(xx, yy, Z, levels=[0], linewidths=2,
                           linetypes='--')
    plt.scatter(X[:, 0], X[:, 1], s=30, c=Y, cmap=plt.cm.Paired,
                edgecolors='k')
    plt.xticks(())
    plt.yticks(())
    plt.axis([-3, 3, -3, 3])
    plt.show()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** ( 0 minutes  1.007 seconds)


.. _sphx_glr_download_auto_examples_svm_plot_svm_nonlinear.py:


.. only :: html

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



  .. container:: sphx-glr-download

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



  .. container:: sphx-glr-download

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


.. only:: html

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

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