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arxiv: 1509.07947 · v1 · pith:CFBQWUL3new · submitted 2015-09-26 · 💻 cs.IT · math.IT

A new result of the scaling law of weighted L1 minimization

classification 💻 cs.IT math.IT
keywords minimizationweightedconditionrecoveryscalingsufficientbuildscompressed
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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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