3 papers
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.PR2023
Fisher-Rao geometry of equivalent Gaussian measures on infinite-dimensional Hilbert spaces
Minh Ha Quang
This work presents an explicit description of the Fisher-Rao Riemannian metric on the Hilbert manifold of equivalent centered Gaussian measures on an infinite-dimensional Hilbert s…
stat.ML2020
Entropy-Regularized -Wasserstein Distance between Gaussian Measures
Anton Mallasto, Augusto Gerolin, Hà Quang Minh
Gaussian distributions are plentiful in applications dealing in uncertainty quantification and diffusivity. They furthermore stand as important special cases for frameworks providi…