Min-min minimization for the fractional ℓ0-regularized problem

Jun Wang, Qiang Ma and Cheng Zhou

Applied Mathematics and Computation, 2025, vol. 503, issue C

Abstract: In this paper, we present a novel unconstrained fractional ℓ0 regularization (FL0R) model to solve cardinality minimization. Firstly, we construct an interesting min⁡−min minimization from FL0R by introducing a middle variable of sparsity. Then, we prove that the solution to min⁡−min minimization with a given sparsity is one of FL0R. Finally, some numerical examples are presented to illustrate the effectiveness and validity of the new model.

Keywords: Compressed sensing; ℓ0-regularization minimization; Fractional nonlinear programming; Quadratic programs with cardinality constraints; Sparse recovery (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:503:y:2025:i:c:s0096300325002255

DOI: 10.1016/j.amc.2025.129499

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