
.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/decomposition/plot_beta_divergence.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        Click :ref:`here <sphx_glr_download_auto_examples_decomposition_plot_beta_divergence.py>`
        to download the full example code

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_decomposition_plot_beta_divergence.py:


==============================
Beta-divergence loss functions
==============================

A plot that compares the various Beta-divergence loss functions supported by
the Multiplicative-Update ('mu') solver in :class:`sklearn.decomposition.NMF`.

.. GENERATED FROM PYTHON SOURCE LINES 9-30



.. image-sg:: /auto_examples/decomposition/images/sphx_glr_plot_beta_divergence_001.png
   :alt: beta-divergence(1, x)
   :srcset: /auto_examples/decomposition/images/sphx_glr_plot_beta_divergence_001.png
   :class: sphx-glr-single-img





.. code-block:: default

    import numpy as np
    import matplotlib.pyplot as plt
    from sklearn.decomposition._nmf import _beta_divergence

    print(__doc__)

    x = np.linspace(0.001, 4, 1000)
    y = np.zeros(x.shape)

    colors = 'mbgyr'
    for j, beta in enumerate((0., 0.5, 1., 1.5, 2.)):
        for i, xi in enumerate(x):
            y[i] = _beta_divergence(1, xi, 1, beta)
        name = "beta = %1.1f" % beta
        plt.plot(x, y, label=name, color=colors[j])

    plt.xlabel("x")
    plt.title("beta-divergence(1, x)")
    plt.legend(loc=0)
    plt.axis([0, 4, 0, 3])
    plt.show()


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

   **Total running time of the script:** ( 0 minutes  0.193 seconds)


.. _sphx_glr_download_auto_examples_decomposition_plot_beta_divergence.py:


.. only :: html

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



  .. container:: sphx-glr-download sphx-glr-download-python

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



  .. container:: sphx-glr-download sphx-glr-download-jupyter

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


.. only:: html

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

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