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nLab > Latest Changes: Fisher metric

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  1.  
    • CommentRowNumber1.
    • CommentAuthorzskoda
    • CommentTimeMay 21st 2019

    Page created, but author did not leave any comments.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeMar 12th 2021

    For singular statistical models (including in machine learning) one needs more version of Fisher metric beyond manifolds; one possibility is in the framework of diffeologies,

    • Hông Vân Lê, Diffeological statistical models and diffeological Hausdorff measures, video yt, slides pdf
    • Hông Vân Lê, Alexey A. Tuzhilin, Nonparametric estimations and the diffeological Fisher metric, arXiv:2011.13418
    • Hông Vân Lê, Diffeological statistical models,the Fisher metric and probabilistic mappings, Mathematics 2020, 8(2),167, arXiv:1912.02090

    diff, v3, current

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