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The influence lower bound via query elimination

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arxiv 1102.4699 v1 pith:KPY7DVQE submitted 2011-02-23 cs.CC

classification cs.CC
keywords lowerqueryboundcomplexityeliminationinfluenceallowsapplies
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We give a simpler proof, via query elimination, of a result due to O'Donnell, Saks, Schramm and Servedio, which shows a lower bound on the zero-error randomized query complexity of a function f in terms of the maximum influence of any variable of f. Our lower bound also applies to the two-sided error distributional query complexity of f, and it allows an immediate extension which can be used to prove stronger lower bounds for some functions.

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