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Consider the noisy underdetermined system of linear equations: , with an measurement matrix, , and a Gaussian white noise. Both and are known, both and are unknown, and we seek an approximation to . When has few nonzeros, useful approximations are often obtained by -penalized minimization, in which the...
In the last few years, we have witnessed an explosion in applications of sparse representation, the majority of which share the need for finding sparse solutions of underdetermined systems of linear equations (USLE's). Based on recently proposed smoothed lscr0-norm (SL0), we develop a noise-tolerant algorithm for sparse representation, namely Robust-SL0, enjoying the same computational advantages...
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