From the 1 of 5 linked papers with an AI index.
5 papers
Absence of non-compactly supported minimisers for the Lieb-Oxford bound
Simone Di Marino, Rodrigue Lelotte
The paper proves that any minimiser of the Lieb‑Oxford bound for a fixed finite number of particles must be compactly supported, extending a known result from the one‑particle case…
On the stability of proximal operators in Wasserstein spaces under different notions of convexity
Simone Di Marino, Sara Farinelli, Emanuele Naldi
The proximal operator is a fundamental tool in variational analysis and optimization. In the setting of a Hilbert space, given a proper, lower semicontinuous convex functional, its…
Zero-information limit of a collective olfactory search model
Francesco Boccardo, Simone Di Marino, Agnese Seminara
We address the problem of how individuals can integrate efficiently their private behavior with information provided by others within a group. To this end, we consider the model of…
Inexact JKO and proximal-gradient algorithms in the Wasserstein space
Simone Di Marino, Emanuele Naldi, Silvia Villa
This paper studies the convergence properties of the inexact Jordan-Kinderlehrer-Otto (JKO) scheme and proximal-gradient algorithm in the context of Wasserstein spaces. The JKO sch…
-regularity for Schrödinger potentials of Shannon-entropy regularized Optimal Transport
Sumiya Baasandorj, Simone Di Marino, Augusto Gerolin
We provide the stability of regularity of Schrödinger potentials of Boltzmann-Shannon entropy regularized Optimal Transport under the classical assumption of marginals…