t-Wise independence with local dependencies

Ronen Gradwohl; Amir Yehudayoff

doi:10.1016/j.ipl.2007.11.010

t-Wise independence with local dependencies

Research output: Contribution to journal › Article › peer-review

Abstract

In this note we prove a large deviation bound on the sum of random variables with the following dependency structure: there is a dependency graph G with a bounded chromatic number, in which each vertex represents a random variable. Variables that are represented by neighboring vertices may be arbitrarily dependent, but collections of variables that form an independent set in G are t-wise independent.

Original language	English
Pages (from-to)	208-212
Number of pages	5
Journal	Information Processing Letters
Volume	106
Issue number	5
DOIs	https://doi.org/10.1016/j.ipl.2007.11.010
State	Published - 31 May 2008
Externally published	Yes

Keywords

Combinatorial problems
Large deviation bounds
Limited independence

ASJC Scopus subject areas

Theoretical Computer Science
Signal Processing
Information Systems
Computer Science Applications

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10.1016/j.ipl.2007.11.010

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title = "t-Wise independence with local dependencies",

abstract = "In this note we prove a large deviation bound on the sum of random variables with the following dependency structure: there is a dependency graph G with a bounded chromatic number, in which each vertex represents a random variable. Variables that are represented by neighboring vertices may be arbitrarily dependent, but collections of variables that form an independent set in G are t-wise independent.",

keywords = "Combinatorial problems, Large deviation bounds, Limited independence",

author = "Ronen Gradwohl and Amir Yehudayoff",

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AU - Yehudayoff, Amir

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AB - In this note we prove a large deviation bound on the sum of random variables with the following dependency structure: there is a dependency graph G with a bounded chromatic number, in which each vertex represents a random variable. Variables that are represented by neighboring vertices may be arbitrarily dependent, but collections of variables that form an independent set in G are t-wise independent.

KW - Combinatorial problems

KW - Large deviation bounds

KW - Limited independence

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U2 - 10.1016/j.ipl.2007.11.010

DO - 10.1016/j.ipl.2007.11.010

M3 - Article

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SP - 208

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JO - Information Processing Letters

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t-Wise independence with local dependencies

Abstract

Keywords

ASJC Scopus subject areas

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