Sampling non-log-concave densities via Hessian-free high-resolution dynamics
arXiv:2601.02725v1 Announce Type: cross Abstract: We study the problem of sampling from a target distribution $pi(q)propto e^{-U(q)}$ on $mathbb{R}^d$, where $U$ can be non-convex, via the Hessian-free high-resolution (HFHR) dynamics, which is a second-order Langevin-type process that has $e^{-U(q)-frac12|p|^2}$ as its unique invariant distribution, and it reduces to kinetic Langevin dynamics (KLD) as the resolution parameter $alphato0$. The existing theory for HFHR dynamics in the literature is restricted to strongly-convex $U$, although numerical experiments are promising for non-convex […]