2025
Neural Sampling from Boltzmann Densities: Fisher-Rao Curves in the Wasserstein Geometry
ICLR 2025poster
We deal with the task of sampling from an unnormalized Boltzmann density $\rho_D$ by learning a Boltzmann curve given by energies $f_t$ starting in a simple density $\rho_Z$. First, we examine conditions under which Fisher-Rao flows are absolutely continuous in the Wasserstein geometry. Second, we a…