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CORR
2007
Springer
167views Education» more  CORR 2007»
13 years 7 months ago
Optimal Solutions for Sparse Principal Component Analysis
Given a sample covariance matrix, we examine the problem of maximizing the variance explained by a linear combination of the input variables while constraining the number of nonze...
Alexandre d'Aspremont, Francis R. Bach, Laurent El...
CORR
2010
Springer
225views Education» more  CORR 2010»
13 years 7 months ago
Sensing Matrix Optimization for Block-Sparse Decoding
Recent work has demonstrated that using a carefully designed sensing matrix rather than a random one, can improve the performance of compressed sensing. In particular, a welldesign...
Kevin Rosenblum, Lihi Zelnik-Manor, Yonina C. Elda...
CORR
2010
Springer
275views Education» more  CORR 2010»
13 years 7 months ago
Dictionary Optimization for Block-Sparse Representations
Recent work has demonstrated that using a carefully designed dictionary instead of a predefined one, can improve the sparsity in jointly representing a class of signals. This has m...
Kevin Rosenblum, Lihi Zelnik-Manor, Yonina C. Elda...
ICASSP
2011
IEEE
12 years 11 months ago
Efficient image reconstruction under sparsity constraints with application to MRI and bioluminescence tomography
Most bioimaging modalities rely on indirect measurements of the quantity under investigation. The image is obtained as the result of an optimization problem involving a physical m...
Matthieu Guerquin-Kern, Jean-Charles Baritaux, Mic...
ICASSP
2011
IEEE
12 years 11 months ago
Additive character sequences with small alphabets for compressed sensing matrices
Compressed sensing is a novel technique where one can recover sparse signals from the undersampled measurements. In this paper, a K × N measurement matrix for compressed sensing ...
Nam Yul Yu