Lower Bound on Weights of Large Degree Threshold Functions

An integer polynomial $p$ of $n$ variables is called a \emph{threshold gate} for a Boolean function $f$ of $n$ variables if for all $x \in \zoon$ $f(x)=1$ if and only if $p(x)\geq 0$. The \emph{weight} of a threshold gate is the sum of its absolute values. In this paper we study how large a weight...

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Bibliographic Details
Published in:Logical Methods in Computer Science
Main Author: Vladimir V. Podolskii
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2013-06-01
Subjects:
Online Access:https://lmcs.episciences.org/722/pdf