.. _sphx_glr_examples_elmodels:

Models embeddings the :math:`\mathcal{EL}` language
------------------------------------------------------


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

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

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example corresponds to the paper EL Embeddings: Geometric Construction of Models for the Description Logic EL++.">

.. only:: html

  .. image:: /examples/elmodels/images/thumb/sphx_glr_plot_1_elembeddings_thumb.png
    :alt:

  :doc:`/examples/elmodels/plot_1_elembeddings`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">EL Embeddings</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example is based on the paper Description Logic EL++ Embeddings with Intersectional Closure. This paper is based on the idea of /examples/elmodels/plot_1_elembeddings, but in this work the main point is to solve the intersectional closure problem.">

.. only:: html

  .. image:: /examples/elmodels/images/thumb/sphx_glr_plot_2_elboxembeddings_thumb.png
    :alt:

  :doc:`/examples/elmodels/plot_2_elboxembeddings`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">ELBoxEmbeddings</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="All three geometric EL models embed ontology classes as 2-D shapes when trained with embed_dim=2, letting us watch the geometry evolve directly — no dimensionality reduction needed.">

.. only:: html

  .. image:: /examples/elmodels/images/thumb/sphx_glr_plot_3_el_geometry_thumb.png
    :alt:

  :doc:`/examples/elmodels/plot_3_el_geometry`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Geometric EL Embeddings: Training Animation</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /examples/elmodels/plot_1_elembeddings
   /examples/elmodels/plot_2_elboxembeddings
   /examples/elmodels/plot_3_el_geometry