1 citations · 1 across the 5 of their papers we have counts for
6 papers
Azumaya descent and étale-local cyclotomic comparison: a noncommutative filtration
Hông Vân Lê, Alexander Zuevsky
Bhatt-Morrow-Scholze motivic filtration on topological Hochschild homology () is extended to Azumaya algebras over quasisyntomic rings. We prove the Azumaya descent theorem: $…
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 \…
Batch learning equals online learning in Bayesian supervised learning
Hông Vân Lê
In this paper we study Bayesian supervised learning models proposed by Lê in \cite{Le2025}. Using functoriality of probabilistic morphisms, we prove that sequential and batch Bayes…
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…
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…
The Cramér-Rao inequality on singular statistical models I
Jürgen Jost, Hông Vân Lê, Lorenz Schwachhöfer
We introduce the notion of the essential tangent bundle of a parametrized measure model and the notion of reduced Fisher metric on a (possibly singular) 2-integrable measure model.…