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» On the List-Decodability of Random Linear Codes
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TIT
2010
128views Education» more  TIT 2010»
13 years 2 months ago
Shannon-theoretic limits on noisy compressive sampling
In this paper, we study the number of measurements required to recover a sparse signal in M with L nonzero coefficients from compressed samples in the presence of noise. We conside...
Mehmet Akçakaya, Vahid Tarokh
STOC
2009
ACM
159views Algorithms» more  STOC 2009»
14 years 8 months ago
Message passing algorithms and improved LP decoding
Linear programming decoding for low-density parity check codes (and related domains such as compressed sensing) has received increased attention over recent years because of its p...
Sanjeev Arora, Constantinos Daskalakis, David Steu...
CC
2008
Springer
133views System Software» more  CC 2008»
13 years 7 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
STOC
2010
ACM
189views Algorithms» more  STOC 2010»
14 years 5 months ago
Near-optimal extractors against quantum storage
We give near-optimal constructions of extractors secure against quantum bounded-storage adversaries. One instantiation gives the first such extractor to achieve an output length (...
Anindya De and Thomas Vidick
STOC
2000
ACM
174views Algorithms» more  STOC 2000»
14 years 1 days ago
Noise-tolerant learning, the parity problem, and the statistical query model
We describe a slightly subexponential time algorithm for learning parity functions in the presence of random classification noise, a problem closely related to several cryptograph...
Avrim Blum, Adam Kalai, Hal Wasserman