Uniform short-time Fisher-information bound for regularized Stein variational flows
Let ρ0∈PV\rho_0\in\mathcal{P}_Vρ0∈PV, let SrS_rSr be the stated class of flows, and for u∈Sru\in S_ru∈Sr define the pushforward measure ρt=u(t,⋅)#ρ0\rho_t=u(t,\cdot)_{\#}\rho_0ρt=u(t,⋅)#ρ0. For u uu-regularized Stein F…