.. _sphx_glr_auto_examples_fpca:

.. _simulation_fpca:

Dimension Reduction
-------------------

These examples illustrate the use of the :mod:`FDApy.preprocessing.dim_reduction` module. It contains various functionalities to reduce the dimension of functional data.



.. raw:: html

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

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="FPCA of 1-dimensional data">

.. only:: html

  .. image:: /auto_examples/fpca/images/thumb/sphx_glr_plot_fpca_1d_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_fpca_plot_fpca_1d.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">FPCA of 1-dimensional data</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="FPCA of 1-dimensional sparse data">

.. only:: html

  .. image:: /auto_examples/fpca/images/thumb/sphx_glr_plot_fpca_1d_sparse_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_fpca_plot_fpca_1d_sparse.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">FPCA of 1-dimensional sparse data</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="FPCA of 2-dimensional data">

.. only:: html

  .. image:: /auto_examples/fpca/images/thumb/sphx_glr_plot_fpca_2d_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_fpca_plot_fpca_2d.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">FPCA of 2-dimensional data</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="MFPCA of 1-dimensional data">

.. only:: html

  .. image:: /auto_examples/fpca/images/thumb/sphx_glr_plot_mfpca_1d_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_fpca_plot_mfpca_1d.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">MFPCA of 1-dimensional data</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="MFPCA of 2-dimensional data">

.. only:: html

  .. image:: /auto_examples/fpca/images/thumb/sphx_glr_plot_mfpca_2d_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_fpca_plot_mfpca_2d.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">MFPCA of 2-dimensional data</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="MFPCA of 1- and 2-dimensional data">

.. only:: html

  .. image:: /auto_examples/fpca/images/thumb/sphx_glr_plot_mfpca_1d_2d_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_fpca_plot_mfpca_1d_2d.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">MFPCA of 1- and 2-dimensional data</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="MFPCA of 1-dimensional sparse data">

.. only:: html

  .. image:: /auto_examples/fpca/images/thumb/sphx_glr_plot_mfpca_1d_sparse_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_fpca_plot_mfpca_1d_sparse.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">MFPCA of 1-dimensional sparse data</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_examples/fpca/plot_fpca_1d
   /auto_examples/fpca/plot_fpca_1d_sparse
   /auto_examples/fpca/plot_fpca_2d
   /auto_examples/fpca/plot_mfpca_1d
   /auto_examples/fpca/plot_mfpca_2d
   /auto_examples/fpca/plot_mfpca_1d_2d
   /auto_examples/fpca/plot_mfpca_1d_sparse