.. _sphx_glr_auto_examples_representation:

Representation
--------------

Examples that illustrate the available objects in scikit-fda used to represent functional data inside the computer.



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    <div class="sphx-glr-thumbcontainer" tooltip="Shows how to make a discretized representation of a function.">

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  .. image:: /auto_examples/representation/images/thumb/sphx_glr_plot_discrete_representation_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_representation_plot_discrete_representation.py`

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      <div class="sphx-glr-thumbnail-title">Discretized function representation</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Shows the usage of the different types of extrapolation.">

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  .. image:: /auto_examples/representation/images/thumb/sphx_glr_plot_extrapolation_thumb.png
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  :ref:`sphx_glr_auto_examples_representation_plot_extrapolation.py`

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      <div class="sphx-glr-thumbnail-title">Extrapolation</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows the composition of multidimensional FDataGrids.">

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  .. image:: /auto_examples/representation/images/thumb/sphx_glr_plot_composition_thumb.png
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  :ref:`sphx_glr_auto_examples_representation_plot_composition.py`

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      <div class="sphx-glr-thumbnail-title">Function composition</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows the types of interpolation used in the evaluation of FDataGrids.">

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  .. image:: /auto_examples/representation/images/thumb/sphx_glr_plot_interpolation_thumb.png
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  :ref:`sphx_glr_auto_examples_representation_plot_interpolation.py`

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      <div class="sphx-glr-thumbnail-title">Interpolation</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates how to build and visualize mixed datasets containing both scalar and functional elements using the Canadian weather dataset. In particular, we show how to include both a function and its derivative, either jointly in a vector-valued functional object, or separately as independent entries. We also explore how to structure and visualize this data using pandas and scikit-fda&#x27;s visualization tools.">

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  .. image:: /auto_examples/representation/images/thumb/sphx_glr_plot_mixed_data_thumb.png
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  :ref:`sphx_glr_auto_examples_representation_plot_mixed_data.py`

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      <div class="sphx-glr-thumbnail-title">Mixed data structure and visualization.</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example converts irregular data to a basis representation using a mixed effects model.">

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  .. image:: /auto_examples/representation/images/thumb/sphx_glr_plot_irregular_to_basis_mixed_effects_thumb.png
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  :ref:`sphx_glr_auto_examples_representation_plot_irregular_to_basis_mixed_effects.py`

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      <div class="sphx-glr-thumbnail-title">Mixed effects model for irregular data</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example converts irregular data to a basis representation using a mixed effects model and checks the robustness of the method by fitting the model with decreasing number of measurement points per curve.">

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  .. image:: /auto_examples/representation/images/thumb/sphx_glr_plot_irregular_mixed_effects_robustness_thumb.png
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  :ref:`sphx_glr_auto_examples_representation_plot_irregular_mixed_effects_robustness.py`

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      <div class="sphx-glr-thumbnail-title">Mixed effects model for irregular data: robustness of the conversion</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Explores the different representations of functional data.">

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  .. image:: /auto_examples/representation/images/thumb/sphx_glr_plot_representation_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_representation_plot_representation.py`

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      <div class="sphx-glr-thumbnail-title">Representation of functional data</div>
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    </div>


.. toctree::
   :hidden:

   /auto_examples/representation/plot_discrete_representation
   /auto_examples/representation/plot_extrapolation
   /auto_examples/representation/plot_composition
   /auto_examples/representation/plot_interpolation
   /auto_examples/representation/plot_mixed_data
   /auto_examples/representation/plot_irregular_to_basis_mixed_effects
   /auto_examples/representation/plot_irregular_mixed_effects_robustness
   /auto_examples/representation/plot_representation