Title
Direct sum fails for zero error average communication
Abstract
We show that in the model of zero error communication complexity, direct sum fails for average communication complexity as well as for external information cost. Our example also refutes a version of a conjecture by Braverman et al. that in the zero error case amortized communication complexity equals external information cost. In our examples the underlying distributions do not have full support. One interpretation of a distributions of non full support is as a promise given to the players (the players have a guarantee on their inputs). This brings up the issue of promise versus non-promise problems in this context.
Year
Venue
Keywords
2013
Algorithmica
full support,zero error case,amortized communication complexity,underlying distribution,non full support,external information cost,direct sum,zero error communication complexity,average communication complexity,zero error average communication,non-promise problem,communication complexity,amortized complexity,information theory,average case complexity
DocType
Volume
Issue
Journal
76
3
Citations 
PageRank 
References 
0
0.34
12
Authors
4
Name
Order
Citations
PageRank
Gillat Kol1193.44
Shay Moran26327.30
Amir Shpilka3109564.27
Amir Yehudayoff453043.83