.. _DimensionReduction:

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The ``DimensionReduction`` module
*********************************

.. automodule:: mogp_emulator.DimensionReduction


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Dimension Reduction Classes
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.. autoclass:: mogp_emulator.gKDR

    .. automethod:: __init__
    .. automethod:: __call__
    .. automethod:: tune_parameters

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Utilities
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.. automethod:: mogp_emulator.DimensionReduction.gram_matrix

.. automethod:: mogp_emulator.DimensionReduction.gram_matrix_sqexp

.. automethod:: mogp_emulator.DimensionReduction.median_dist
       
.. rubric:: References
.. [Fukumizu1] https://www.ism.ac.jp/~fukumizu/software.html
.. [FL13] Fukumizu, Kenji and Chenlei Leng. "Gradient-based kernel dimension reduction for regression." Journal of the American Statistical Association 109, no. 505 (2014): 359-370
.. [LG17] Liu, Xiaoyu and Guillas, Serge. "Dimension Reduction for Gaussian Process Emulation: An Application to the Influence of Bathymetry on Tsunami Heights." SIAM/ASA Journal on Uncertainty Quantification 5, no. 1 (2017): 787-812 https://doi.org/10.1137/16M1090648