English

The influence lower bound via query elimination

Computational Complexity 2011-02-24 v1

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.

Keywords

Cite

@article{arxiv.1102.4699,
  title  = {The influence lower bound via query elimination},
  author = {Rahul Jain and Shengyu Zhang},
  journal= {arXiv preprint arXiv:1102.4699},
  year   = {2011}
}

Comments

5 pages

R2 v1 2026-06-21T17:30:28.430Z