.. _sphx_glr_auto_examples_general_examples:

General Examples
================

Basic examples for getting started with HDMRLib.


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Run HDMR on a small 2D tensor, reconstruct the approximation, and compare the reconstructed tensor with the original input.">

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  .. image:: /auto_examples/general_examples/images/thumb/sphx_glr_plot_01_hdmr_2d_thumb.png
    :alt:

  :doc:`/auto_examples/general_examples/plot_01_hdmr_2d`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">HDMR on a 2D Tensor</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Run HDMR on a structured 2D tensor and inspect the resulting additive and interaction terms.">

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  .. image:: /auto_examples/general_examples/images/thumb/sphx_glr_plot_02_hdmr_2d_distinct_comp_thumb.png
    :alt:

  :doc:`/auto_examples/general_examples/plot_02_hdmr_2d_distinct_comp`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">HDMR on a 2D Tensor with Interaction Terms</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Run EMPR and HDMR on the same 2D tensor, compare the reconstructions, and visualize the remaining approximation errors.">

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  .. image:: /auto_examples/general_examples/images/thumb/sphx_glr_plot_03_empr_hdmr_2d_thumb.png
    :alt:

  :doc:`/auto_examples/general_examples/plot_03_empr_hdmr_2d`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">EMPR vs HDMR on a 2D Tensor</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Load an RGB image as a 3D tensor, run EMPR, reconstruct the tensor, and compare the reconstruction with the original image.">

.. only:: html

  .. image:: /auto_examples/general_examples/images/thumb/sphx_glr_plot_04_empr_3d_thumb.png
    :alt:

  :doc:`/auto_examples/general_examples/plot_04_empr_3d`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">EMPR on an 3D Tensor</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_examples/general_examples/plot_01_hdmr_2d
   /auto_examples/general_examples/plot_02_hdmr_2d_distinct_comp
   /auto_examples/general_examples/plot_03_empr_hdmr_2d
   /auto_examples/general_examples/plot_04_empr_3d