14 citations · 32 across the 7 of their papers we have counts for
7 papers
Convergence and finite sample approximations of entropic regularized Wasserstein distances in Gaussian and RKHS settings
Minh Ha Quang
This work studies the convergence and finite sample approximations of entropic regularized Wasserstein distances in the Hilbert space setting. Our first main result is that for Gau…
Entropic regularization of Wasserstein distance between infinite-dimensional Gaussian measures and Gaussian processes
Minh Ha Quang
This work studies the entropic regularization formulation of the 2-Wasserstein distance on an infinite-dimensional Hilbert space, in particular for the Gaussian setting. We first p…
Alpha Procrustes metrics between positive definite operators: a unifying formulation for the Bures-Wasserstein and Log-Euclidean/Log-Hilbert-Schmidt metrics
Minh Ha Quang
This work presents a parametrized family of distances, namely the Alpha Procrustes distances, on the set of symmetric, positive definite (SPD) matrices. The Alpha Procrustes distan…
Regularized divergences between covariance operators and Gaussian measures on Hilbert spaces
Minh Ha Quang
This work presents an infinite-dimensional generalization of the correspondence between the Kullback-Leibler and Rényi divergences between Gaussian measures on Euclidean space and…
Infinite-dimensional Log-Determinant divergences II: Alpha-Beta divergences
Minh Ha Quang
This work presents a parametrized family of divergences, namely Alpha-Beta Log- Determinant (Log-Det) divergences, between positive definite unitized trace class operators on a Hil…
The volume of Gaussian states by information geometry
Domenico Felice, Hà Quang Minh, Stefano Mancini
We formulate the problem of determining the volume of the set of Gaussian physical states in the framework of information geometry. That is, by considering phase space probability…
Further properties of Gaussian Reproducing Kernel Hilbert Spaces
Minh Ha Quang
We generalize the orthonormal basis for the Gaussian RKHS described in \cite{MinhGaussian2010} to an infinite, continuously parametrized, family of orthonormal bases, along with so…