Information Complexity of the AND Function in the Two-Party and Multi-party Settings

Yuval Filmus; Hamed Hatami; Yaqiao Li; Suzin You

doi:10.1007/s00453-018-0484-8

Information Complexity of the AND Function in the Two-Party and Multi-party Settings

Yuval Filmus, Hamed Hatami, Yaqiao Li, Suzin You

Research output: Contribution to journal › Article › peer-review

Abstract

In a recent breakthrough paper Braverman et al. (in: STOC’13, pp 151–160, 2013) developed a local characterization for the zero-error information complexity in the two-party model, and used it to compute the exact internal and external information complexity of the 2-bit AND function. In this article, we extend their results on AND function to the multi-party number-in-hand model by proving that the generalization of their protocol has optimal internal and external information cost for certain natural distributions. Our proof has new components, and in particular, it fixes a minor gap in the proof of Braverman et al.

Original language	English
Pages (from-to)	4200-4237
Number of pages	38
Journal	Algorithmica
Volume	81
Issue number	11-12
DOIs	https://doi.org/10.1007/s00453-018-0484-8
State	Published - 1 Nov 2019

Keywords

Information complexity
AND function
Multi-party number-in-hand model
Concavity condition

ASJC Scopus subject areas

General Computer Science
Computer Science Applications
Applied Mathematics

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10.1007/s00453-018-0484-8

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abstract = "In a recent breakthrough paper Braverman et al. (in: STOC{\textquoteright}13, pp 151–160, 2013) developed a local characterization for the zero-error information complexity in the two-party model, and used it to compute the exact internal and external information complexity of the 2-bit AND function. In this article, we extend their results on AND function to the multi-party number-in-hand model by proving that the generalization of their protocol has optimal internal and external information cost for certain natural distributions. Our proof has new components, and in particular, it fixes a minor gap in the proof of Braverman et al.",

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AU - You, Suzin

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Information Complexity of the AND Function in the Two-Party and Multi-party Settings

Abstract

Keywords

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