A framework to characterize performance of lasso algorithms

M Stojnic - arXiv preprint arXiv:1303.7291, 2013 - arxiv.org
In this paper we consider solving\emph {noisy} under-determined systems of linear
equations with sparse solutions. A noiseless equivalent attracted enormous attention in …

Various thresholds for -optimization in compressed sensing

M Stojnic - arXiv preprint arXiv:0907.3666, 2009 - arxiv.org
Recently,\cite {CRT, DonohoPol} theoretically analyzed the success of a polynomial $\ell_1
$-optimization algorithm in solving an under-determined system of linear equations. In a …

Recovery thresholds for ℓ1 optimization in binary compressed sensing

M Stojnic - 2010 IEEE International Symposium on Information …, 2010 - ieeexplore.ieee.org
Recently, theoretically analyzed the success of a polynomial ℓ 1 optimization algorithm in
solving an under-determined system of linear equations. In a large dimensional and …

Optimization methods for post-bond die-internal/external testing in 3D stacked ICs

B Noia, K Chakrabarty… - 2010 IEEE International …, 2010 - ieeexplore.ieee.org
Testing of three-dimensional (3D) stacked ICs (SICs) is starting to receive considerable
attention in the semiconductor industry. Since the die-stacking steps of thinning, alignment …

-Optimization in Block-Sparse Compressed Sensing and Its Strong Thresholds

M Stojnic - IEEE Journal of Selected Topics in Signal …, 2010 - ieeexplore.ieee.org
It has been known for a while that l 1-norm relaxation can in certain cases solve an under-
determined system of linear equations. Recently, E. Candes (" Robust uncertainty principles …

Block-length dependent thresholds in block-sparse compressed sensing

M Stojnic - arXiv preprint arXiv:0907.3679, 2009 - arxiv.org
One of the most basic problems in compressed sensing is solving an under-determined
system of linear equations. Although this problem seems rather hard certain $\ell_1 …

1 optimization and its various thresholds in compressed sensing

M Stojnic - 2010 IEEE International Conference on Acoustics …, 2010 - ieeexplore.ieee.org
Recently, theoretically analyzed the success of a polynomial ℓ 1-optimization algorithm in
solving an under-determined system of linear equations. In a large dimensional and …

A simple performance analysis of ℓ1 optimization in compressed sensing

M Stojnic - 2009 IEEE International Conference on Acoustics …, 2009 - ieeexplore.ieee.org
It is well known that compressed sensing problems reduce to solving large under-
determined systems of equations. If we choose the elements of the compressed …

Block-length dependent thresholds for ℓ2/ℓ1-optimization in block-sparse compressed sensing

M Stojnic - 2010 IEEE International Conference on Acoustics …, 2010 - ieeexplore.ieee.org
One of the most basic problems in compressed sensing is solving an under-determined
system of linear equations. Although this problem seems rather hard certain ℓ 1-optimization …

Towards improving ℓ1 optimization in compressed sensing

M Stojnic - 2010 IEEE International Conference on Acoustics …, 2010 - ieeexplore.ieee.org
Recently, theoretically analyzed the success of a polynomial ℓ 1-optimization algorithm in
solving an under-determined system of linear equations. In a large dimensional and …