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

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_advanced_mathematical_optimization_auto_examples_plot_noisy.py>`
        to download the full example code.

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

.. _sphx_glr_advanced_mathematical_optimization_auto_examples_plot_noisy.py:


Noisy optimization problem
===========================

Draws a figure explaining noisy vs non-noisy optimization

.. GENERATED FROM PYTHON SOURCE LINES 7-32



.. image-sg:: /advanced/mathematical_optimization/auto_examples/images/sphx_glr_plot_noisy_001.png
   :alt: plot noisy
   :srcset: /advanced/mathematical_optimization/auto_examples/images/sphx_glr_plot_noisy_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import numpy as np
    import matplotlib.pyplot as plt

    rng = np.random.default_rng(27446968)

    x = np.linspace(-5, 5, 101)
    x_ = np.linspace(-5, 5, 31)


    def f(x):
        return -np.exp(-(x**2))


    # A smooth function
    plt.figure(1, figsize=(3, 2.5))
    plt.clf()

    plt.plot(x_, f(x_) + 0.2 * np.random.normal(size=31), linewidth=2)
    plt.plot(x, f(x), linewidth=2)

    plt.ylim(ymin=-1.3)
    plt.axis("off")
    plt.tight_layout()
    plt.show()


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

   **Total running time of the script:** (0 minutes 0.015 seconds)


.. _sphx_glr_download_advanced_mathematical_optimization_auto_examples_plot_noisy.py:

.. only:: html

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

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

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

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

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

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_noisy.zip <plot_noisy.zip>`


.. only:: html

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

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