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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

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Atsushi Nitanda

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Open access Jul 2026

Uniform-in-\({N}\) Log-Sobolev Inequality for the Mean-Field Langevin Dynamics with Convex Energy

Abstract. We establish a log-Sobolev inequality for the stationary distribution of mean-field Langevin dynamics with a constant that is independent of the number of particles [Formula: see text]. Our proof proceeds by establishing the existence of a Lipschitz transport map from the standard Gaussian measure via the reverse heat flow of Kim and Milman.

Sinho Chewi, Atsushi Nitanda, Matthew S. Zhang · 0 citations

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