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Sparsity and Incoherence in Compressive Sampling
`1-minimization basis pursuit restricted orthonormality sparsity singular values of random matrices wavelets discrete Fourier transform
2015/6/17
We consider the problem of reconstructing a sparse signal x0 ∈ Rn from a limited number of linear measurements. Given m randomly selected samples of Ux0, where U is an orthonormal matrix, we show that...
Mathematics of sparsity (and a few other things)
Underdetermined systems of linear equations compressive sensing matrix completion sparsity low-rank-matrices 1 norm nuclear norm convex programing Gaussian widths
2015/6/17
In the last decade, there has been considerable interest in understanding when it is possible to find structured solutions to underdetermined systems of linear equations. This paper surveys some of th...