3 papers
math.ST2026
Estimating conditional expectation
Hông Vân Lê
In this paper, we consider the problem of estimating conditional expectations as an ill-posed inverse problem. We propose a solution based on a generalization of Vapnik's theorem \…
stat.ML2025
Categorical and geometric methods in statistical, manifold, and machine learning
Hông Vân Lê, Hà Quang Minh, Frederic Protin +1
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 proble…
math.ST2025
Probabilistic morphisms and Bayesian supervised learning
Hông Vân Lê
In this paper, we develop category theory of Markov kernels to study categorical aspects of Bayesian inversions. As a result, we present a unified model for Bayesian supervised lea…