cs.LG, math.OC, math.ST, stat.ML, stat.TH

No-Regret Generative Modeling via Parabolic Monge-Amp\`ere PDE

arXiv:2504.09279v2 Announce Type: replace
Abstract: We introduce a novel generative modeling framework based on a discretized parabolic Monge-Amp\`{e}re PDE, which emerges as a continuous limit of the Sinkhorn algorithm commonly used in optimal transp…