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Linear Boolean Classification, Coding and the Critical Problem

Published in IEEE Transactions on Information Theory • Feb 19, 2016
NobleIDNI1P54W00R52S80
Authors:
Emmanuel Abbé
,
Noga Alon
,
Afonso S. Bandeira

Abstract

This paper considers the problem of linear Boolean classification, where the goal is to determine in which set, among two given sets of Boolean vectors, an unknown vector belongs to by making linear queries. Finding the least number of queries is equivalent to determining the minimal rank of a matri...

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