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

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}.

@article{lê2025_2505.03862,
  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 },
  journal={arXiv preprint arXiv:2505.03862},
  year={ 2025 }
}