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math.OC2026
On propagation of chaos for the Fisher-Rao gradient flow in entropic mean-field optimization
Petra Lazić, Linshan Liu, Mateusz B. Majka
We consider a class of optimization problems on the space of probability measures motivated by the mean-field approach to studying neural networks. Such problems can be solved by c…
math.OC2022★ 6 cited
Polyak-Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes
Linshan Liu, Mateusz B. Majka, Łukasz Szpruch
The Polyak-Lojasiewicz inequality (PLI) in is a natural condition for proving convergence of gradient descent algorithms. In the present paper, we study an analogue…