.. _sphx_glr_auto_examples_gaussian_process:

.. _gaussian_process_examples:

Gaussian Process for Machine Learning
-------------------------------------

Examples concerning the :mod:`sklearn.gaussian_process` module.




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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates differences between a kernel ridge regression and a Gaussian process r...">

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  .. image:: /auto_examples/gaussian_process/images/thumb/sphx_glr_plot_compare_gpr_krr_thumb.png
    :alt: Comparison of kernel ridge and Gaussian process regression

  :ref:`sphx_glr_auto_examples_gaussian_process_plot_compare_gpr_krr.py`

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      <div class="sphx-glr-thumbnail-title">Comparison of kernel ridge and Gaussian process regression</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="A simple one-dimensional regression example computed in two different ways:">

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  .. image:: /auto_examples/gaussian_process/images/thumb/sphx_glr_plot_gpr_noisy_targets_thumb.png
    :alt: Gaussian Processes regression: basic introductory example

  :ref:`sphx_glr_auto_examples_gaussian_process_plot_gpr_noisy_targets.py`

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      <div class="sphx-glr-thumbnail-title">Gaussian Processes regression: basic introductory example</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the predicted probability of GPC for an isotropic and anisotropic RBF ...">

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  .. image:: /auto_examples/gaussian_process/images/thumb/sphx_glr_plot_gpc_iris_thumb.png
    :alt: Gaussian process classification (GPC) on iris dataset

  :ref:`sphx_glr_auto_examples_gaussian_process_plot_gpc_iris.py`

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      <div class="sphx-glr-thumbnail-title">Gaussian process classification (GPC) on iris dataset</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example is based on Section 5.4.3 of &quot;Gaussian Processes for Machine Learning&quot; [RW2006]_. ...">

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  .. image:: /auto_examples/gaussian_process/images/thumb/sphx_glr_plot_gpr_co2_thumb.png
    :alt: Gaussian process regression (GPR) on Mauna Loa CO2 data

  :ref:`sphx_glr_auto_examples_gaussian_process_plot_gpr_co2.py`

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      <div class="sphx-glr-thumbnail-title">Gaussian process regression (GPR) on Mauna Loa CO2 data</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows the ability of the WhiteKernel to estimate the noise level in the data. More...">

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  .. image:: /auto_examples/gaussian_process/images/thumb/sphx_glr_plot_gpr_noisy_thumb.png
    :alt: Gaussian process regression (GPR) with noise-level estimation

  :ref:`sphx_glr_auto_examples_gaussian_process_plot_gpr_noisy.py`

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      <div class="sphx-glr-thumbnail-title">Gaussian process regression (GPR) with noise-level estimation</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the use of Gaussian processes for regression and classification tasks ...">

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  .. image:: /auto_examples/gaussian_process/images/thumb/sphx_glr_plot_gpr_on_structured_data_thumb.png
    :alt: Gaussian processes on discrete data structures

  :ref:`sphx_glr_auto_examples_gaussian_process_plot_gpr_on_structured_data.py`

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      <div class="sphx-glr-thumbnail-title">Gaussian processes on discrete data structures</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates GPC on XOR data. Compared are a stationary, isotropic kernel (RBF) and...">

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  .. image:: /auto_examples/gaussian_process/images/thumb/sphx_glr_plot_gpc_xor_thumb.png
    :alt: Illustration of Gaussian process classification (GPC) on the XOR dataset

  :ref:`sphx_glr_auto_examples_gaussian_process_plot_gpc_xor.py`

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      <div class="sphx-glr-thumbnail-title">Illustration of Gaussian process classification (GPC) on the XOR dataset</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the prior and posterior of a GaussianProcessRegressor with different k...">

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  .. image:: /auto_examples/gaussian_process/images/thumb/sphx_glr_plot_gpr_prior_posterior_thumb.png
    :alt: Illustration of prior and posterior Gaussian process for different kernels

  :ref:`sphx_glr_auto_examples_gaussian_process_plot_gpr_prior_posterior.py`

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      <div class="sphx-glr-thumbnail-title">Illustration of prior and posterior Gaussian process for different kernels</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="A two-dimensional classification example showing iso-probability lines for the predicted probab...">

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  .. image:: /auto_examples/gaussian_process/images/thumb/sphx_glr_plot_gpc_isoprobability_thumb.png
    :alt: Iso-probability lines for Gaussian Processes classification (GPC)

  :ref:`sphx_glr_auto_examples_gaussian_process_plot_gpc_isoprobability.py`

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      <div class="sphx-glr-thumbnail-title">Iso-probability lines for Gaussian Processes classification (GPC)</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the predicted probability of GPC for an RBF kernel with different choi...">

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  .. image:: /auto_examples/gaussian_process/images/thumb/sphx_glr_plot_gpc_thumb.png
    :alt: Probabilistic predictions with Gaussian process classification (GPC)

  :ref:`sphx_glr_auto_examples_gaussian_process_plot_gpc.py`

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      <div class="sphx-glr-thumbnail-title">Probabilistic predictions with Gaussian process classification (GPC)</div>
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    </div>


.. toctree::
   :hidden:

   /auto_examples/gaussian_process/plot_compare_gpr_krr
   /auto_examples/gaussian_process/plot_gpr_noisy_targets
   /auto_examples/gaussian_process/plot_gpc_iris
   /auto_examples/gaussian_process/plot_gpr_co2
   /auto_examples/gaussian_process/plot_gpr_noisy
   /auto_examples/gaussian_process/plot_gpr_on_structured_data
   /auto_examples/gaussian_process/plot_gpc_xor
   /auto_examples/gaussian_process/plot_gpr_prior_posterior
   /auto_examples/gaussian_process/plot_gpc_isoprobability
   /auto_examples/gaussian_process/plot_gpc