141 citations · 1.7k across the 117 of their papers we have counts for
Showing 2010 · cs.ITShow all
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cs.IT2010★ 9 cited
Statistical mechanical assessment of a reconstruction limit of compressed sensing: Toward theoretical analysis of correlated signals
Koujin Takeda, Yoshiyuki Kabashima
We provide a scheme for exploring the reconstruction limit of compressed sensing by minimizing the general cost function under the random measurement constraints for generic correl…
cs.IT2010★ 4 cited
Statistical Mechanical Analysis of Compressed Sensing Utilizing Correlated Compression Matrix
Koujin Takeda, Yoshiyuki Kabashima
We investigate a reconstruction limit of compressed sensing for a reconstruction scheme based on the L1-norm minimization utilizing a correlated compression matrix with a statistic…
cs.IT2010★ 1 cited
Statistical Mechanical Analysis of a Typical Reconstruction Limit of Compressed Sensing
Yoshiyuki Kabashima, Tadashi Wadayama, Toshiyuki Tanaka
We use the replica method of statistical mechanics to examine a typical performance of correctly reconstructing -dimensional sparse vector from its linear transformat…