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CSL
2010
Springer
14 years 9 months ago
Randomisation and Derandomisation in Descriptive Complexity Theory
We study probabilistic complexity classes and questions of derandomisation from a logical point of view. For each logic L we introduce a new logic BPL, bounded error probabilistic ...
Kord Eickmeyer, Martin Grohe
TIT
2002
129views more  TIT 2002»
14 years 9 months ago
Arbitrary source models and Bayesian codebooks in rate-distortion theory
-- We characterize the best achievable performance of lossy compression algorithms operating on arbitrary random sources, and with respect to general distortion measures. Direct an...
Ioannis Kontoyiannis, Junshan Zhang
STOC
2009
ACM
159views Algorithms» more  STOC 2009»
15 years 10 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...
CORR
2008
Springer
115views Education» more  CORR 2008»
14 years 9 months ago
Coding over an Erasure Channel with a Large Alphabet Size
An erasure channel with a fixed alphabet size q, where q 1, is studied . It is proved that over any erasure channel (with or without memory), Maximum Distance Separable (MDS) codes...
Shervan Fashandi, Shahab Oveis Gharan, Amir K. Kha...
TIT
2011
144views more  TIT 2011»
14 years 4 months ago
Network Generalized Hamming Weight
— In this paper, we extend the notion of generalized Hamming weight for classical linear block code to linear network codes by introducing the network generalized Hamming weight ...
Chi Kin Ngai, Raymond W. Yeung, Zhen Zhang