Categorical and geometric methods in statistical, manifold, and machine learning
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916723393822720 |
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| author | Lê, Hông Vân Minh, Hà Quang Protin, Frederic Tuschmann, Wilderich |
| author_facet | Lê, Hông Vân Minh, Hà Quang Protin, Frederic Tuschmann, Wilderich |
| contents | 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}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03862 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Categorical and geometric methods in statistical, manifold, and machine learning Lê, Hông Vân Minh, Hà Quang Protin, Frederic Tuschmann, Wilderich Machine Learning Category Theory Differential Geometry Statistics Theory 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}. |
| title | Categorical and geometric methods in statistical, manifold, and machine learning |
| topic | Machine Learning Category Theory Differential Geometry Statistics Theory |
| url | https://arxiv.org/abs/2505.03862 |