2 papers
cs.IT2019
Metric properties of homogeneous and spatially inhomogeneous F-divergences
Nicolò De Ponti
In this paper I investigate the construction and the properties of the so-called marginal perspective cost , a function related to Optimal Entropy-Transport problems obtained by…
math.FA2019
Sharp Cheeger-Buser type inequalities in spaces
Nicolò De Ponti, Andrea Mondino
The goal of the paper is to sharpen and generalise bounds involving the Cheeger's isoperimetric constant and the first eigenvalue of the Laplacian. A celebrated lower b…