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math.FA2025
Stochastic Euler Schemes and Dissipative Evolutions in the Space of Probability Measures
Giulia Cavagnari, Giuseppe Savaré, Giacomo Enrico Sodini
We study the convergence of stochastic time-discretization schemes for evolution equations driven by random velocity fields, including examples like stochastic gradient descent and…
math.FA2025
The Hellinger-Kantorovich metric measure geometry on spaces of measures
Lorenzo Dello Schiavo, Giacomo Enrico Sodini
Let be a Riemannian manifold with Riemannian distance , and be the space of all non-negative Borel measures on , endowed with the Hellinge…