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» Communication Complexity Lower Bounds by Polynomials
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FOSSACS
2008
Springer
13 years 9 months ago
Optimal Lower Bounds on Regular Expression Size Using Communication Complexity
The problem of converting deterministic finite automata into (short) regular expressions is considered. It is known that the required expression size is 2(n) in the worst case for ...
Hermann Gruber, Jan Johannsen
ICML
2004
IEEE
14 years 8 months ago
Communication complexity as a lower bound for learning in games
A fast-growing body of research in the AI and machine learning communities addresses learning in games, where there are multiple learners with different interests. This research a...
Vincent Conitzer, Tuomas Sandholm
COCO
2003
Springer
162views Algorithms» more  COCO 2003»
14 years 23 days ago
Near-Optimal Lower Bounds on the Multi-Party Communication Complexity of Set Disjointness
We study the communication complexity of the set disjointness problem in the general multi-party model. For t players, each holding a subset of a universe of size n, we establish ...
Amit Chakrabarti, Subhash Khot, Xiaodong Sun
ICALP
2005
Springer
14 years 1 months ago
Hadamard Tensors and Lower Bounds on Multiparty Communication Complexity
We develop a new method for estimating the discrepancy of tensors associated with multiparty communication problems in the “Number on the Forehead” model of Chandra, Furst and...
Jeff Ford, Anna Gál
CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 5 months ago
An Optimal Lower Bound on the Communication Complexity of Gap-Hamming-Distance
We prove an optimal (n) lower bound on the randomized communication complexity of the much-studied GAP-HAMMING-DISTANCE problem. As a consequence, we obtain essentially optimal mu...
Amit Chakrabarti, Oded Regev