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Improved Bounds on Restricted Isometry Constants for Gaussian Matrices

Improved Bounds on Restricted Isometry Constants for Gaussian Matrices

The restricted isometry constant (RIC) of a matrix A measures how close to an isometry is the action of A on vectors with few nonzero entries, measured in the $\ell^2$ norm. Specifically, the upper and lower RICs of a matrix A of size $n\times N$ are the maximum and the …