A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Computing Majority by Constant Depth Majority Circuits with Low Fan-in Gates
[article]

2016
*
arXiv
*
pre-print

We study the following computational problem: for which values of k, the majority of n bits MAJ_n can be computed with a depth two formula whose each gate computes a majority function of at most k bits? The corresponding computational model is denoted by MAJ_k ∘MAJ_k. We observe that the minimum value of k for which there exists a MAJ_k ∘MAJ_k circuit that has high correlation with the majority of n bits is equal to Θ(n^1/2). We then show that for a randomized MAJ_k ∘MAJ_k circuit computing the

arXiv:1610.02686v1
fatcat:74xhlc3drncynhzp4v7nnitiry