TY - GEN
T1 - Information complexity of the AND function in the two-party and multi-party settings
AU - Filmus, Yuval
AU - Hatami, Hamed
AU - Li, Yaqiao
AU - You, Suzin
N1 - Publisher Copyright:
© 2017, Springer International Publishing AG.
PY - 2017
Y1 - 2017
N2 - In a recent breakthrough paper [M. Braverman, A. Garg, D. Pankratov, and O. Weinstein, From information to exact communication, STOC’13] Braverman et al. 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 distributions. Our proof has new components, and in particular it fixes a minor gap in the proof of Braverman et al.
AB - In a recent breakthrough paper [M. Braverman, A. Garg, D. Pankratov, and O. Weinstein, From information to exact communication, STOC’13] Braverman et al. 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 distributions. Our proof has new components, and in particular it fixes a minor gap in the proof of Braverman et al.
UR - http://www.scopus.com/inward/record.url?scp=85028456684&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-62389-4_17
DO - 10.1007/978-3-319-62389-4_17
M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???
AN - SCOPUS:85028456684
SN - 9783319623887
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 200
EP - 211
BT - Computing and Combinatorics - 23rd International Conference, COCOON 2017, Proceedings
A2 - Cao, Yixin
A2 - Chen, Jianer
T2 - 23rd International Conference on Computing and Combinatorics, COCOON 2017
Y2 - 3 August 2017 through 5 August 2017
ER -