免费 发表于 2025-3-25 06:25:54
A Generalized Central Limit Conjecture for Convex Bodies,t (up to a small factor) to the KLS conjecture. Any polynomial improvement in the current KLS bound of .. in . implies the generalized CLT, and vice versa. This tight connection suggests that the generalized CLT might provide insight into basic open questions in asymptotic convex geometry.BALK 发表于 2025-3-25 07:51:04
,Further Investigations of Rényi Entropy Power Inequalities and an Entropic Characterization of s-Corated result of Barron (Ann Probab 14:336–342, 1986). Additionally, we give an entropic characterization of the class of .-concave densities, which extends a classical result of Cover and Zhang (IEEE Trans Inform Theory 40(4):1244–1246, 1994).emulsify 发表于 2025-3-25 13:38:31
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Small Ball Probability for the Condition Number of Random Matrices,mbination of known results and techniques, it was not noticed in the literature before. As a key step of the proof, we apply estimates for the singular values of ., . obtained (under some additional assumptions) by Nguyen.Crohns-disease 发表于 2025-3-26 03:35:49
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Distributed Autonomous Robotic System 6A classical theorem of Alon and Milman states that any . dimensional centrally symmetric convex body has a projection of dimension . which is either close to the .-dimensional Euclidean ball or to the .-dimensional cross-polytope. We extended this result to non-symmetric convex bodies.朝圣者 发表于 2025-3-26 09:01:04
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