Information Complexity and Exact Communication Bounds - Mark Braverman
Автор: Institute for Advanced Study
Загружено: 2016-08-17
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Mark Braverman
Princeton University
December 3, 2012
In this talk we will discuss information complexity -- a measure of the amount of information Alice and Bob need to exchange to solve a problem over distributed inputs. We will present an information-theoretically optimal protocol for computing the AND of two bits distributed between Alice and Bob. We prove that the information complexity of AND is ~1.4923 bits. We use the optimal protocol and its properties to obtain tight bounds for the Disjointness problem, showing that the randomized communication complexity of Disjointness on n bits is ~0.4827n ± o(n).
Based on joint work with Ankit Gard, Denis Pankratov, and Omri Weinstein
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