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CORR
2007
Springer
183views Education» more  CORR 2007»
13 years 5 months ago
Compressed Sensing and Redundant Dictionaries
This article extends the concept of compressed sensing to signals that are not sparse in an orthonormal basis but rather in a redundant dictionary. It is shown that a matrix, whic...
Holger Rauhut, Karin Schnass, Pierre Vandergheynst
CORR
2010
Springer
154views Education» more  CORR 2010»
13 years 5 months ago
Causal Markov condition for submodular information measures
The causal Markov condition (CMC) is a postulate that links observations to causality. It describes the conditional independences among the observations that are entailed by a cau...
Bastian Steudel, Dominik Janzing, Bernhard Sch&oum...
TIT
2002
129views more  TIT 2002»
13 years 4 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
CORR
2007
Springer
136views Education» more  CORR 2007»
13 years 5 months ago
Sparsity in time-frequency representations
We consider signals and operators in finite dimension which have sparse time-frequency representations. As main result we show that an S-sparse Gabor representation in Cn with re...
Götz E. Pfander, Holger Rauhut