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Jun 26, 2019 · Nevertheless here is a counterexample of 1-Lipschitz function on RN which fails to satisfy concentration inequality on the Hamming cube {−1,1}N ...
Jun 9, 2009 · Talagrand's concentration inequality. Posted by ... {X} is uniformly distributed in the discrete cube ... Concentration on the cube —. Proposition 1 ...
Sep 1, 2019 · Sobolev inequality on the discrete cube via the central limit theorem. Roughly speaking, if ϕ : R → R is smooth with compact support, apply ...
May 18, 2004 · Abstract: Using Talagrand's concentration inequality on the discrete cube {0,1}^m we show that given a real-valued function Z(x)on {0,1}^m ...
Oct 13, 2020 · This inequality is tight up to a constant factor for the majority function, and was first proved by Talagrand [17] with. √. 2 in place of π/4.
the discrete cube {0, 1 }n. As another ... Talagrand's convex distance inequality, which we will formulate now. ... A note on Talagrand's concentration inequality.
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Oct 31, 2003 · Abstract Using Talagrand's concentration inequality on the discrete cube {0, 1}m we show that given a real‐valued function Z(x) on {0, ...
Consider the discrete cube Ω={0,1}N, provided with the uniform probabilityP. We denote byd(x, A) the Hamming distance of a pointx of Ω and a subsetA of Ω.
In particular, we present simple generalizations to the biased measure μ p of the Bonami–Beckner hypercontractive inequality, and of Talagrand's lower bound on ...
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