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Theoretical analysis for $ℓ_{1}$ - $ℓ_{2}$ minimization with partial support information

Haifeng Li; Leiyan Guo — 2025

Applications of Mathematics

We investigate the recovery of $k$ -sparse signals using the $ℓ_{1}$ - $ℓ_{2}$ minimization model with prior support set information. The prior support set information, which is believed to contain the indices of nonzero signal elements, significantly enhances the performance of compressive recovery by improving accuracy, efficiency, reducing complexity, expanding applicability, and enhancing robustness. We assume $k$ -sparse signals $𝐱$ with the prior support $T$ which is composed of $g$ true indices and $b$ wrong indices,...

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Theoretical analysis for ℓ 1 - ℓ 2 minimization with partial support information

Theoretical analysis for $ℓ_{1}$ - $ℓ_{2}$ minimization with partial support information