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Sparse linear regression with compressed and low-precision data via concave quadratic programming | IEEE Conference Publication | IEEE Xplore

Sparse linear regression with compressed and low-precision data via concave quadratic programming


Abstract:

We consider the problem of the recovery of a k-sparse vector from compressed linear measurements when data are corrupted by a quantization noise. When the number of measu...Show More

Abstract:

We consider the problem of the recovery of a k-sparse vector from compressed linear measurements when data are corrupted by a quantization noise. When the number of measurements is not sufficiently large, different k-sparse solutions may be present in the feasible set, and the classical ℓ1 approach may be unsuccessful. For this motivation, we propose a non-convex quadratic programming method, which exploits prior information on the magnitude of the non-zero parameters. This results in a more efficient support recovery. We provide sufficient conditions for successful recovery and numerical simulations to illustrate the practical feasibility of the proposed method.
Date of Conference: 11-13 December 2019
Date Added to IEEE Xplore: 12 March 2020
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Conference Location: Nice, France

References

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