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COLT
2003
Springer
14 years 4 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
JMLR
2006
89views more  JMLR 2006»
13 years 11 months ago
Lower Bounds and Aggregation in Density Estimation
In this paper we prove the optimality of an aggregation procedure. We prove lower bounds for aggregation of model selection type of M density estimators for the Kullback-Leibler d...
Guillaume Lecué
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
14 years 28 days ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
STOC
2003
ACM
152views Algorithms» more  STOC 2003»
14 years 11 months ago
Cell-probe lower bounds for the partial match problem
Given a database of n points in {0, 1}d, the partial match problem is: In response to a query x in {0, 1, }d, find a database point y such that for every i whenever xi = , we have...
T. S. Jayram, Subhash Khot, Ravi Kumar, Yuval Raba...
STACS
2007
Springer
14 years 5 months ago
A New Rank Technique for Formula Size Lower Bounds
We exactly determine the formula size of the parity function. If n = 2 + k, where 0 ≤ k < 2 , then the formula size of parity on n bits is 2 (2 + 3k) = n2 + k2 − k2 . Khrap...
Troy Lee