6 citations · 6 across the 3 of their papers we have counts for
3 papers
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.PR2023
-Wasserstein contraction for Euler schemes of elliptic diffusions and interacting particle systems
Linshan Liu, Mateusz B. Majka, Pierre Monmarché
We show the -Wasserstein contraction for the transition kernel of a discretised diffusion process, under a contractivity at infinity condition on the drift and a sufficiently…
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…