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math.AP2026
Wasserstein gradient flows of Maximum Mean Discrepancy with energy kernels
Matthew Rosenzweig, Dejan Slepčev, Lihan Wang
We study the Wasserstein gradient flow of the squared Maximum Mean Discrepancy (MMD) generated by the nonsmooth energy kernels , . In dimensions , the co…
math.PR2026
On the entropic convergence for piecewise deterministic samplers: speedup and obstruction
Pierre Monmarché, Lihan Wang
For piecewise deterministic samplers such as Randomized Hamiltonian Monte Carlo (RHMC), Bouncy Particle Sampler (BPS) or Zig-Zag Process (ZZP), long-time exponential convergence ra…