Difference-of-Convex Algorithms for a Class of Sparse Group $\ell_0$ Regularized Optimization Problems (Q5093646)

scientific article; zbMATH DE number 7565254

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English	Difference-of-Convex Algorithms for a Class of Sparse Group $\ell_0$ Regularized Optimization Problems	scientific article; zbMATH DE number 7565254

Statements

instance of

scholarly article

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title

Difference-of-Convex Algorithms for a Class of Sparse Group $\ell_0$ Regularized Optimization Problems (English)

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published in

SIAM Journal on Optimization

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publication date

29 July 2022

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full work available at URL

https://arxiv.org/abs/2109.05251

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zbMATH Keywords

sparse group $\ell_0$ regularization

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continuous relaxation

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DC algorithm

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global convergence

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MaRDI profile type

MaRDI publication profile

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cites work

Difference-of-Convex Learning: Directional Stationarity, Optimality, and Sparsity

0 references

The Boosted Difference of Convex Functions Algorithm for Nonsmooth Functions

0 references

On the convergence of the proximal algorithm for nonsmooth functions involving analytic features

0 references

Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods

0 references

Optimization problems involving group sparsity terms

0 references

Enhancing sparsity by reweighted $\ell _{1}$ minimization

0 references

Restricted isometry properties and nonconvex compressive sensing

0 references

Non-Lipschitz $\ell_{p}$-Regularization and Box Constrained Model for Image Restoration

0 references

Optimization and nonsmooth analysis

0 references

Structured Compressed Sensing: From Theory to Applications

0 references

Block-Sparse Signals: Uncertainty Relations and Efficient Recovery

0 references

Robust Recovery of Signals From a Structured Union of Subspaces

0 references

Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties

0 references

Sparsest solutions of underdetermined linear systems via $ \ell _q$-minimization for $0<q\leqslant 1$

0 references

DC formulations and algorithms for sparse optimization problems

0 references

A selective review of group selection in high-dimensional models

0 references

Asymptotic properties of bridge estimators in sparse high-dimensional regression models

0 references

Q5396702

0 references

Group Sparse Recovery via the $\ell ^0(\ell ^2)$ Penalty: Theory and Algorithm

0 references

DC programming and DCA: thirty years of developments

0 references

DC approximation approaches for sparse optimization

0 references

Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods

0 references

A Highly Efficient Semismooth Newton Augmented Lagrangian Method for Solving Lasso Problems

0 references

Efficient Sparse Semismooth Newton Methods for the Clustered Lasso Problem

0 references

A refined convergence analysis of $\mathrm{pDCA}_{e}$ with applications to simultaneous sparse recovery and outlier detection

0 references

Iterative hard thresholding methods for $l_0$ regularized convex cone programming

0 references

Nonmonotone Enhanced Proximal DC Algorithms for a Class of Structured Nonsmooth DC Programming

0 references

Enhanced proximal DC algorithms with extrapolation for a class of structured nonsmooth DC minimization

0 references

Sparse Approximate Solutions to Linear Systems

0 references

Relationship between the optimal solutions of least squares regularized with $\ell_{0}$-norm and constrained by $k$-sparsity

0 references

Group Sparse Optimization for Images Recovery Using Capped Folded Concave Functions

0 references

Computing B-Stationary Points of Nonsmooth DC Programs

0 references

A bilinear formulation for vector sparsity optimization

0 references

Group variable selection via $\ell_{p,0}$ regularization and application to optimal scoring

0 references

Q4235027

0 references

A Continuous Exact $\ell_0$ Penalty (CEL0) for Least Squares Regularized Problem

0 references

A Unified View of Exact Continuous Penalties for $\ell_2$-$\ell_0$ Minimization

0 references

On the Reconstruction of Block-Sparse Signals With an Optimal Number of Measurements

0 references

Q5149020

0 references

Probing the Pareto Frontier for Basis Pursuit Solutions

0 references

A proximal difference-of-convex algorithm with extrapolation

0 references

Sparse Reconstruction by Separable Approximation

0 references

Multi-Tissue Decomposition of Diffusion MRI Signals via L0 Sparse-Group Estimation

0 references

Nearly unbiased variable selection under minimax concave penalty

0 references

An efficient Hessian based algorithm for solving large-scale sparse group Lasso problems

0 references

Newton method for $\ell_0$-regularized optimization

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Identifiers

zbMATH Open document ID

1496.90097

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DOI

10.1137/21M1443455

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5093646