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• W2765658755 abstract "This paper considers the regularization parameter determination of l1-regularized minimization problem. We solve the l1-regularized problem using iterative reweighted least squares (IRLS) which involves solving a linear system whose coefficient matrix has the form αM+(1−α)N (α∈(0,1)). The aim of this paper is to find an efficient and computationally inexpensive algorithm to both choose the regularization parameter and solve the l1-regularized problem. In order to achieve this, we propose an IRLS algorithm with adaptive regularization parameter selection based on a heuristic parameter determination rule—de Boor’s parameter selection criterion. Compared with some of the state-of-the-art algorithms and parameter selection rules, the numerical experiments show the efficiency and robustness of the proposed method." @default.
• W2765658755 created "2017-11-10" @default.
• W2765658755 creator A5012790132 @default.
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• W2765658755 date "2018-05-01" @default.
• W2765658755 modified "2023-10-13" @default.
• W2765658755 title "A pseudo-heuristic parameter selection rule for <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=mml79 display=inline overflow=scroll altimg=si79.gif><mml:msup><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>-regularized minimization problems" @default.
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• W2765658755 doi "https://doi.org/10.1016/j.cam.2017.10.006" @default.
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