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    <style type="text/css">
    .figure {
        float: left;
        margin: 10px;
        width: auto;
        height: 200px;
        width: 180px;
    }

    .figure img {
        display: inline;
        }

    .figure .caption {
        width: 170px;
        text-align: center !important;
    }
    </style>

.. _book_fig_chapter7:

Chapter 7: Dimensionality and its Reduction
-------------------------------------------
This chapter covers dimensionality reduction, from linear methods such as
PCA, NMF, and ICA, to nonlinear methods such as LLE and Isomap.




.. toctree::
   :maxdepth: 2






.. toctree::
   :hidden:

   ./fig_spec_examples

   ./fig_PCA_rotation

   ./fig_svd_visual

   ./fig_spec_decompositions

   ./fig_eigenvalues

   ./fig_spec_reconstruction

   ./fig_PCA_reconstruction

   ./fig_S_manifold_PCA

   ./fig_PCA_LLE



.. figure:: ./../images/chapter7/fig_spec_examples_1_thumb.png
    :target: ./fig_spec_examples.html
    :align: center

    :ref:`book_fig_chapter7_fig_spec_examples`

.. figure:: ./../images/chapter7/fig_PCA_rotation_1_thumb.png
    :target: ./fig_PCA_rotation.html
    :align: center

    :ref:`book_fig_chapter7_fig_PCA_rotation`

.. figure:: ./../images/chapter7/fig_svd_visual_1_thumb.png
    :target: ./fig_svd_visual.html
    :align: center

    :ref:`book_fig_chapter7_fig_svd_visual`

.. figure:: ./../images/chapter7/fig_spec_decompositions_1_thumb.png
    :target: ./fig_spec_decompositions.html
    :align: center

    :ref:`book_fig_chapter7_fig_spec_decompositions`

.. figure:: ./../images/chapter7/fig_eigenvalues_1_thumb.png
    :target: ./fig_eigenvalues.html
    :align: center

    :ref:`book_fig_chapter7_fig_eigenvalues`

.. figure:: ./../images/chapter7/fig_spec_reconstruction_1_thumb.png
    :target: ./fig_spec_reconstruction.html
    :align: center

    :ref:`book_fig_chapter7_fig_spec_reconstruction`

.. figure:: ./../images/chapter7/fig_PCA_reconstruction_1_thumb.png
    :target: ./fig_PCA_reconstruction.html
    :align: center

    :ref:`book_fig_chapter7_fig_PCA_reconstruction`

.. figure:: ./../images/chapter7/fig_S_manifold_PCA_1_thumb.png
    :target: ./fig_S_manifold_PCA.html
    :align: center

    :ref:`book_fig_chapter7_fig_S_manifold_PCA`

.. figure:: ./../images/chapter7/fig_PCA_LLE_1_thumb.png
    :target: ./fig_PCA_LLE.html
    :align: center

    :ref:`book_fig_chapter7_fig_PCA_LLE`





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    <div style="clear: both"></div>