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A new result of the scaling law of weighted L1 minimization
Jun Zhang, Urbashi Mitra, Kuan-Wen Huang, Nicolo Michelusi · 2015-09-26 · via cs.IT updates on arXiv.org

This paper study recovery conditions of weighted L1 minimization for signal reconstruction from compressed sensing measurements. A sufficient condition for exact recovery by using the general weighted L1 minimization is derived, which builds a direct relationship between the weights and the recoverability. Simulation results indicates that this sufficient condition provides a precise prediction of the scaling law for the weighted L1 minimization.

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