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math.PR2026
A Bayesian Proof of the Bernoulli Theorem
Jingbo Liu, Ilias Zadik
We give a new proof of the Bernoulli theorem, conjectured by Talagrand and proved in the seminal work of Bednorz and Latała. Our approach is based on information-theoretic ideas: l…
cs.IT2026
Two-Sided Bounds for Entropic Optimal Transport via a Rate-Distortion Integral
Jingbo Liu
We show that the maximum expected inner product between a random vector and the standard normal vector over all couplings subject to a mutual information constraint or regularizati…