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cs.IT2024
The entropy power conjecture implies the McKean conjecture
Guillaume Wang
After reviewing the entropy power, the McKean, and the Gaussian completely monotone conjectures, we prove that the first implies the second, for each order of the time-derivative.…
cs.IT2024★ 1 cited
A higher-order Otto calculus approach to the Gaussian completely monotone conjecture
Guillaume Wang
The Gaussian completely monotone (GCM) conjecture states that the -th time-derivative of the entropy along the heat flow on is positive for even and negative…
math.OC2024
Mean-Field Langevin Dynamics for Signed Measures via a Bilevel Approach
Guillaume Wang, Alireza Mousavi-Hosseini, Lénaïc Chizat
Mean-field Langevin dynamics (MLFD) is a class of interacting particle methods that tackle convex optimization over probability measures on a manifold, which are scalable, versatil…