[Dottorcomp] Seminari di Matematica Applicata, 03/03/2026, Emanuele Naldi

[Stefano Lisini]

Rettifica, cambio orario.
Il seminario di Matematica Applicata di Martedì 3 Marzo 2026, già
annunciato, si terrà alle *ore 15* precise, invece che alle ore 16, sempre
presso l'aula Beltrami.
Cordiali saluti,
Stefano Lisini.


Il giorno gio 26 feb 2026 alle ore 12:24 Stefano Lisini <
stefano.lisini a unipv.it> ha scritto:

> Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
> e Istituto del CNR IMATI "E. Magenes" di Pavia.
>
> *Martedì 3 Marzo 2026*, alle *ore 16* precise, presso l'aula Beltrami del
> Dipartimento di Matematica,
>
> Emanuele Naldi (Università di Genova)
>
> terrà un seminario dal titolo:
>
> Proximal methods in the Wasserstein space: links and differences from the
> Hilbert case.
>
> Abstract: In this talk, we revisit the proximal point method, known in the
> Wasserstein setting as the Jordan–Kinderlehrer–Otto (JKO) scheme. While the
> classical JKO scheme assumes exact minimization at each step, practical
> implementations rely on approximate solutions due to computational
> constraints. We therefore investigate the asymptotic convergence properties
> of the inexact JKO scheme and its generalization, the proximal-gradient
> algorithm in the Wasserstein space. We analyze two types of inexactness:
> errors in Wasserstein distance and errors in functional evaluations. We
> establish rigorous convergence guarantees under controlled error
> conditions. Beyond the inexact setting, we also extend the convergence
> results by considering varying stepsizes. Our analysis expands previous
> approaches, providing new insights into discrete Wasserstein gradient
> flows. We finish the talk with a comparison to the Hilbert space setting,
> where the proximity operator is nonexpansive, a property that plays a
> central role in many classical convergence results. In the Wasserstein
> setting, the nonexpansivity of the proximity operator generally fails, even
> for geodesically convex functionals. We discuss the class of functions for
> which this property still holds and highlight potential directions for
> future research.
>
> -----------------------------------------
>
> https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/
>