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arXiv · 1212.0369

Consistency of l1 recovery from noisy deterministic measurements

Charles Dossal·Rémi Tesson
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Abstract

In this paper a new result of recovery of sparse vectors from deterministic and noisy measurements by l1 minimization is given. The sparse vector is randomly chosen and follows a generic p-sparse model introduced by Candes and al. The main theorem ensures consistency of l1 minimization with high probability. This first result is secondly extended to compressible vectors.

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Charles Dossal, Rémi Tesson. 2012-12-03. Consistency of l1 recovery from noisy deterministic measurements. https://arxiv.org/abs/1212.0369

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