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COLT
2003
Springer
13 years 10 months ago
Lower Bounds on the Sample Complexity of Exploration in the Multi-armed Bandit Problem
We consider the Multi-armed bandit problem under the PAC (“probably approximately correct”) model. It was shown by Even-Dar et al. [5] that given n arms, it suffices to play th...
Shie Mannor, John N. Tsitsiklis
JACM
2002
122views more  JACM 2002»
13 years 4 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
STACS
2009
Springer
13 years 9 months ago
Asymptotically Optimal Lower Bounds on the NIH-Multi-Party Information Complexity of the AND-Function and Disjointness
Here we prove an asymptotically optimal lower bound on the information complexity of the k-party disjointness function with the unique intersection promise, an important special ca...
Andre Gronemeier
CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 2 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