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

Hông Vân Lê; Hà Quang Minh; Frederic Protin; Wilderich Tuschmann

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arXiv · 2505.03862

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

Hông Vân Lê·Hà Quang Minh·Frederic Protin·Wilderich Tuschmann

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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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Hông Vân Lê, Hà Quang Minh, Frederic Protin, Wilderich Tuschmann. 2025-05-06. Categorical and geometric methods in statistical, manifold, and machine learning. https://arxiv.org/abs/2505.03862

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