English

The simplified weighted sum function and its average sensitivity

Computational Complexity 2014-12-22 v1

Abstract

In this paper we simplify the definition of the weighted sum Boolean function which used to be inconvenient to compute and use. We show that the new function has essentially the same properties as the previous one. In particular, the bound on the average sensitivity of the weighted sum Boolean function remains unchanged after the simplification.

Keywords

Cite

@article{arxiv.1412.6268,
  title  = {The simplified weighted sum function and its average sensitivity},
  author = {Jiyou Li and Chu Luo},
  journal= {arXiv preprint arXiv:1412.6268},
  year   = {2014}
}

Comments

9 pages

R2 v1 2026-06-22T07:37:45.869Z