1 citations · 1 across the 3 of their papers we have counts for
7 papers
Statistical learning in Wasserstein space
Amirhossein Karimi, Luigia Ripani, Tryphon T. Georgiou
We seek a generalization of regression and principle component analysis (PCA) in a metric space where data points are distributions metrized by the Wasserstein metric. We recast th…
Multi-marginal Schrodinger bridges
Yongxin Chen, Giovanni Conforti, Tryphon T. Georgiou +1
We consider the problem to identify the most likely flow in phase space, of (inertial) particles under stochastic forcing, that is in agreement with spatial (marginal) distribution…
Around the entropic Talagrand inequality
Giovanni Conforti, Luigia Ripani
In this article we study generalization of the classical Talagrand transport-entropy inequality in which the Wasserstein distance is replaced by the entropic transportation cost. T…
An entropic interpolation proof of the HWI inequality
Ivan Gentil, Christian Léonard, Luigia Ripani +1
We present a pathwise proof of the HWI inequality which is based on en-tropic interpolations rather than displacement ones. Unlike the latter, entropic interpolations are regular b…
Dynamical aspects of generalized Schr{ö}dinger problem via Otto calculus -- A heuristic point of view
Ivan Gentil, Christian Léonard, Luigia Ripani
The defining equation of a gradient flow is kinetic in essence. This article explores some dynamical (rather than kinetic) features of gradient flow…
Convexity and regularity properties for entropic interpolations
Luigia Ripani
In this paper we prove a convexity property of the relative entropy along entropic interpolations (solutions of the Schrödinger problem), and a regularity property of the entropic…