.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/approximators/plot_regression_fbii.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_auto_examples_approximators_plot_regression_fbii.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_approximators_plot_regression_fbii.py:


RegressionFBII
==============

Faithful Banzhaf Interaction Index via regression using
:class:`~shapiq.RegressionFBII`.

.. GENERATED FROM PYTHON SOURCE LINES 8-27

.. code-block:: Python


    from __future__ import annotations

    import numpy as np

    import shapiq

    N_PLAYERS = 8
    BUDGET = 200
    feature_names = [f"x{i}" for i in range(N_PLAYERS)]

    weights = np.array([0.4, 0.3, 0.2, 0.1, 0.05, -0.1, -0.2, -0.3])


    def game_fun(coalitions: np.ndarray) -> np.ndarray:
        coalitions = np.atleast_2d(coalitions)
        return (coalitions @ weights) + 0.5 * coalitions[:, 0] * coalitions[:, 1]









.. GENERATED FROM PYTHON SOURCE LINES 28-30

Approximate FBII values
-----------------------

.. GENERATED FROM PYTHON SOURCE LINES 30-35

.. code-block:: Python


    approximator = shapiq.RegressionFBII(n=N_PLAYERS, max_order=2, random_state=42)
    iv = approximator.approximate(BUDGET, game_fun)
    print(iv)





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    InteractionValues(
        index=FBII, max_order=2, min_order=0, estimated=True, estimation_budget=200,
        n_players=8, baseline_value=0.0,
        Top 10 interactions:
            (0, 1): 0.5000000000000027
            (0,): 0.40000000000000124
            (1,): 0.29999999999999877
            (2,): 0.20000000000000476
            (3,): 0.10000000000000481
            (4,): 0.05000000000000841
            (): -1.7685559213690507e-14
            (5,): -0.09999999999998957
            (6,): -0.19999999999998644
            (7,): -0.29999999999998217
    )




.. GENERATED FROM PYTHON SOURCE LINES 36-38

Force plot
----------

.. GENERATED FROM PYTHON SOURCE LINES 38-41

.. code-block:: Python


    iv.plot_force(feature_names=feature_names)




.. image-sg:: /auto_examples/approximators/images/sphx_glr_plot_regression_fbii_001.png
   :alt: plot regression fbii
   :srcset: /auto_examples/approximators/images/sphx_glr_plot_regression_fbii_001.png
   :class: sphx-glr-single-img





.. GENERATED FROM PYTHON SOURCE LINES 42-44

Network plot
------------

.. GENERATED FROM PYTHON SOURCE LINES 44-46

.. code-block:: Python


    iv.plot_network(feature_names=feature_names)



.. image-sg:: /auto_examples/approximators/images/sphx_glr_plot_regression_fbii_002.png
   :alt: plot regression fbii
   :srcset: /auto_examples/approximators/images/sphx_glr_plot_regression_fbii_002.png
   :class: sphx-glr-single-img






.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.463 seconds)


.. _sphx_glr_download_auto_examples_approximators_plot_regression_fbii.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

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

      :download:`Download Jupyter notebook: plot_regression_fbii.ipynb <plot_regression_fbii.ipynb>`

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

      :download:`Download Python source code: plot_regression_fbii.py <plot_regression_fbii.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_regression_fbii.zip <plot_regression_fbii.zip>`