Richard Duong

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20242026

most citedNeural Sampling from Boltzmann Densities: Fisher-Rao Curves in the Wasserstein Geometry

1 citations · 1 across the 6 of their papers we have counts for

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math.AP2024

Wasserstein Gradient Flows of MMD Functionals with Distance Kernels under Sobolev Regularization

Richard Duong, Nicolaj Rux, Viktor Stein +1

We consider Wasserstein gradient flows of maximum mean discrepancy (MMD) functionals $MMD_{K}^{2} (\cdot, ν)$ for positive and negative distance kernels $K (x, y) := \pm ∣ x - y ∣$ and…

cs.LG2024★ 1 cited

Neural Sampling from Boltzmann Densities: Fisher-Rao Curves in the Wasserstein Geometry

Jannis Chemseddine, Christian Wald, Richard Duong +1

We deal with the task of sampling from an unnormalized Boltzmann density $ρ_{D}$ by learning a Boltzmann curve given by energies $f_{t}$ starting in a simple density $ρ_{Z}$ . First, we e…

math.AP2024

Wasserstein Gradient Flows of MMD Functionals with Distance Kernel and Cauchy Problems on Quantile Functions

Richard Duong, Viktor Stein, Robert Beinert +2

We give a comprehensive description of Wasserstein gradient flows of maximum mean discrepancy (MMD) functionals $F_{ν} := MMD_{K}^{2} (\cdot, ν)$ towards given target measu…