AND testing and robust judgement aggregation

© 2020 ACM. A function fg¶{0,1}n→ {0,1} is called an approximate AND-homomorphism if choosing x,ygn uniformly at random, we have that f(xg§ y) = f(x)g§ f(y) with probability at least 1-ϵ, where xg§ y = (x1g§ y1,...,xng§ yn). We prove that if fg¶ {0,1}n → {0,1} is an approximate AND-homomorphism, the...

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Bibliographic Details
Main Authors: Filmus, Yuval, Lifshitz, Noam, Minzer, Dor, Mossel, Elchanan
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: ACM 2022
Online Access:https://hdl.handle.net/1721.1/137503.2