4 citations · 9 across the 30 of their papers we have counts for
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Stability of Mean-Field Variational Inference
Shunan Sheng, Bohan Wu, Alberto González-Sanz +1
Mean-field variational inference (MFVI) is a widely used method for approximating high-dimensional probability distributions by product measures. This paper studies the stability p…
Monotone Measure-Preserving Maps in Hilbert Spaces: Existence, Uniqueness, and Stability
Alberto González-Sanz, Marc Hallin, Bodhisattva Sen
The contribution of this work is twofold. The first part deals with a Hilbert-space version of McCann's celebrated result on the existence and uniqueness of monotone measure-preser…
Regularity of center-outward distribution functions in non-convex domains
Eustasio del Barrio, Alberto González Sanz
For a probability P in its center outward distribution function , introduced in Chernozhukov et al. (2017) and Hallin et al. (2021), is a new and successful concept…
Central Limit Theorems for Semidiscrete Wasserstein Distances
Eustasio del Barrio, Alberto González-Sanz, Jean-Michel Loubes
We prove a Central Limit Theorem for the empirical optimal transport cost, , in the semi discrete case, i.e when…