The ballistic limit of the log-Sobolev constant equals the Polyak-Łojasiewicz constant

Sinho Chewi, Austin J. Stromme

The Polyak-Lojasiewicz (PL) constant of a function $f:{\mathbb{R}}^d\to \mathbb{R}$ characterizes the best exponential rate of convergence of gradient flow for $f$, uniformly…