The influence lower bound via query elimination

Rahul Jain; Shengyu Zhang

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arXiv · 1102.4699

The influence lower bound via query elimination

Rahul Jain·Shengyu Zhang

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Abstract

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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Rahul Jain, Shengyu Zhang. 2011-02-23. The influence lower bound via query elimination. https://arxiv.org/abs/1102.4699

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