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Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits
Georg Heinze, Jan-Frederik Pietschmann, André Schlichting
We study evolution equations on metric graphs with reservoirs, that is graphs where a one-dimensional interval is associated to each edge and, in addition, the vertices are able to…
Singular-limit analysis of gradient descent with noise injection
Anna Shalova, André Schlichting, Mark Peletier
We study the limiting dynamics of a large class of noisy gradient descent systems in the overparameterized regime. In this regime the set of global minimizers of the loss is large,…
Variational convergence for an irreversible exchange-driven stochastic particle system
Jasper Hoeksema, Chun Yin Lam, André Schlichting
We show the variational convergence of an irreversible Markov jump process describing a finite stochastic particle system to the solution of a countable infinite system of determin…