Categorical and geometric methods in statistical, manifold, and machine learning

Hông Vân Lê, Hà Quang Minh, Frederic Protin, Wilderich Tuschmann
5/6/2025
stat.MLcs.LGmath.CT

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Abstract

We present and discuss applications of the category of probabilistic morphisms, initially developed in \cite{Le2023}, as well as some geometric methods to several classes of problems in statistical, machine and manifold learning which shall be, along with many other topics, considered in depth in the forthcoming book \cite{LMPT2024}.

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Cite this paper

@article{l2025categorical,
  title  = {Categorical and geometric methods in statistical, manifold, and machine learning},
  author = {Hông Vân Lê and Hà Quang Minh and Frederic Protin and Wilderich Tuschmann},
  year   = {2025},
  eprint = {2505.03862},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2505.03862v1}
}

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