The DOI matches its Crossref record; 54 of the 54 references it cites were found in a registry or an index.
Sparse Regularization via Convex Analysis
Open accessAbstract
Sparse approximate solutions to linear equations are classically obtained via L1 norm regularized least squares, but this method often underestimates the true solution. As an alternative to the L1 norm, this paper proposes a class of nonconvex penalty functions that maintain the convexity of the least squares cost function to be minimized, and avoids the systematic underestimation characteristic of L1 norm regularization. The proposed penalty function is a multivariate generalization of the minimax-concave penalty. It is defined in terms of a new multivariate generalization of the Huber function, which in turn is defined via infimal convolution. The proposed sparse-regularized least squares cost function can be minimized by proximal algorithms comprising simple computations.
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Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601
Nonlinear total variation based noise removal algorithms
Rudin, L. I., Osher, S., & Fatemi, E. (1992) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(92)90242-f · Cited by 15,704
Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
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Robust estimation of a location parameter
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Atomic Decomposition by Basis Pursuit
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An iterative thresholding algorithm for linear inverse problems with a sparsity constraint.
Daubechies, I., Defrise, M., & De Mol, C. (2004) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.20042 · Cited by 4,958
Enhancing Sparsity by Reweighted ℓ 1 Minimization
Candès, E. J., Wakin, M. B., & Boyd, S. P. (2008) · Journal of Fourier Analysis and Applications · doi:10.1007/s00041-008-9045-x · Cited by 4,863
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Nearly unbiased variable selection under minimax concave penalty
Zhang, C.-H. (2010) · The Annals of Statistics · doi:10.1214/09-aos729 · Cited by 3,835
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Metadata
- Authors
- Selesnick, I.
- Venue
- IEEE Transactions on Signal Processing
- Published
- 2017-09-01
- Volume
- 65
- Issue
- 17
- Pages
- 4481-4494
- ISSN
- 1053-587X (ISSN-L)
- 1941-0476
- OpenAlex
- W2620850570
- Cited by
- 429
- References
- 54
- FWCI
- 23.08
- Type
- journal article
- Language
- en
- Open access
- green
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