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25 April 2024

» arxiv » 1706.8688

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Deviation inequalities for convex functions motivated by the Talagrand conjecture
Nathael Gozlan ; Mokshay Madiman ; Cyril Roberto ; Paul-Marie Samson ;
Date:	27 Jun 2017
Abstract:	Motivated by Talagrand’s conjecture on regularization properties of the natural semigroup on the Boolean hypercube, and in particular its continuous analogue involving regularization properties of the Ornstein-Uhlenbeck semigroup acting on in-tegrable functions, we explore deviation inequalities for log-semiconvex functions under Gaussian measure.
Source:	arXiv, 1706.8688
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