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 ${\mathbb{R}}^d$ is a natural condition for proving convergence of gradient descent algorithms. In the present paper, we study an analogue…