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APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
13 years 6 months ago
Constructive Proofs of Concentration Bounds
We give a simple combinatorial proof of the Chernoff-Hoeffding concentration bound [Che52, Hoe63], which says that the sum of independent {0, 1}-valued random variables is highly ...
Russell Impagliazzo, Valentine Kabanets
MFPS
1991
13 years 8 months ago
Decomposition of Domains
The problem of decomposing domains into sensible factors is addressed and solved for the case of dI-domains. A decomposition theorem is proved which allows the represention of a l...
Achim Jung, Leonid Libkin, Hermann Puhlmann
TCC
2010
Springer
188views Cryptology» more  TCC 2010»
14 years 2 months ago
Almost Optimal Bounds for Direct Product Threshold Theorem
Abstract. We consider weakly-verifiable puzzles which are challengeresponse puzzles such that the responder may not be able to verify for itself whether it answered the challenge ...
Charanjit S. Jutla
CC
2008
Springer
133views System Software» more  CC 2008»
13 years 5 months ago
Hardness Amplification via Space-Efficient Direct Products
We prove a version of the derandomized Direct Product lemma for deterministic space-bounded algorithms. Suppose a Boolean function g : {0, 1}n {0, 1} cannot be computed on more th...
Venkatesan Guruswami, Valentine Kabanets