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Examples Gallery
================

Below is a gallery of examples.


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    <div class="sphx-glr-thumbcontainer" tooltip="We demonstrate how to use GGLasso for a SGL problem.  First, we generate a sparse Erdos-Renyi network of 20 nodes. We generate an according precision matrix and sample from it. Here, we use a large  number of samples (N=1000) to demonstrate that it is possible to recover (approximately) the original graph if sufficiently many samples are available.">

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  .. image:: /auto_examples/images/thumb/sphx_glr_plot_basic_example_thumb.png
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  :ref:`sphx_glr_auto_examples_plot_basic_example.py`

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      <div class="sphx-glr-thumbnail-title">Basic example</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="We compare the performance of the Graphical Lasso solvers implemented in GGLasso to two commonly used packages, i.e.">

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  .. image:: /auto_examples/images/thumb/sphx_glr_plot_benchmarks_thumb.png
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  :ref:`sphx_glr_auto_examples_plot_benchmarks.py`

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      <div class="sphx-glr-thumbnail-title">Benchmarking</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="In this example, we want to explain how Functional Graphical Lasso [ref13]_ works and how you can make use of it with GGLasso.  For this tutorial, we use the scikit-fda package.">

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  .. image:: /auto_examples/images/thumb/sphx_glr_plot_fsgl_example_thumb.png
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  :ref:`sphx_glr_auto_examples_plot_fsgl_example.py`

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      <div class="sphx-glr-thumbnail-title">Functional Graphical Lasso experiment</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Example script for Group Graphical Lasso with non-conforming dimension, i.e. some variables exist in some instances but not in all. We generate one underlying precision matrix and then drop one block of variables in each instance.">

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  .. image:: /auto_examples/images/thumb/sphx_glr_plot_nonconforming_ggl_thumb.png
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  :ref:`sphx_glr_auto_examples_plot_nonconforming_ggl.py`

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      <div class="sphx-glr-thumbnail-title">Nonconforming Group Graphical Lasso experiment</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="We investigate the performance of Fused Graphical Lasso on powerlaw networks, compared to estimating the precision matrices independently with SGL. In particular, we demonstrate that FGL - in contrast to SGL - is capable of estimating time-consistent precision matrices.">

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  .. image:: /auto_examples/images/thumb/sphx_glr_plot_powerlaw_fgl_thumb.png
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  :ref:`sphx_glr_auto_examples_plot_powerlaw_fgl.py`

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      <div class="sphx-glr-thumbnail-title">Fused Graphical Lasso experiment</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="We investigate the recovery performance of Group Graphical Lasso on Powerlaw networks, compared to estimating the precision matrices independently with SGL.">

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  .. image:: /auto_examples/images/thumb/sphx_glr_plot_powerlaw_ggl_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_powerlaw_ggl.py`

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      <div class="sphx-glr-thumbnail-title">Group Graphical Lasso experiment</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Microbial abundance networks are a typical application of Graphical Lasso. [ref12]_">

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  .. image:: /auto_examples/images/thumb/sphx_glr_plot_soil_example_thumb.png
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  :ref:`sphx_glr_auto_examples_plot_soil_example.py`

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      <div class="sphx-glr-thumbnail-title">Soil microbiome networks</div>
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    </div>


.. toctree::
   :hidden:

   /auto_examples/plot_basic_example
   /auto_examples/plot_benchmarks
   /auto_examples/plot_fsgl_example
   /auto_examples/plot_nonconforming_ggl
   /auto_examples/plot_powerlaw_fgl
   /auto_examples/plot_powerlaw_ggl
   /auto_examples/plot_soil_example


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  .. container:: sphx-glr-footer sphx-glr-footer-gallery

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download all examples in Python source code: auto_examples_python.zip </auto_examples/auto_examples_python.zip>`

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download all examples in Jupyter notebooks: auto_examples_jupyter.zip </auto_examples/auto_examples_jupyter.zip>`


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 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_