An improved algorithm for the \(L_2-L_p\) minimization problem
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Publication:1683685
DOI10.1007/s10107-016-1107-2zbMath1386.90146OpenAlexW2586529239MaRDI QIDQ1683685
Simai He, Rongchuan He, Dong-Dong Ge
Publication date: 1 December 2017
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10107-016-1107-2
Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37)
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Cites Work
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- A smoothing SQP framework for a class of composite \(L_q\) minimization over polyhedron
- A note on the complexity of \(L _{p }\) minimization
- Enhancing sparsity by reweighted \(\ell _{1}\) minimization
- Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\)
- On the complexity of approximating a KKT point of quadratic programming
- Asymptotics for Lasso-type estimators.
- Asymptotic properties of bridge estimators in sparse high-dimensional regression models
- Complexity of unconstrained \(L_2 - L_p\) minimization
- Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization
- Worst-Case Complexity of Smoothing Quadratic Regularization Methods for Non-Lipschitzian Optimization
- An Unconstrained $\ell_q$ Minimization with $0q\leq1$ for Sparse Solution of Underdetermined Linear Systems
- Lower Bound Theory of Nonzero Entries in Solutions of $\ell_2$-$\ell_p$ Minimization
- Restricted isometry properties and nonconvex compressive sensing
- `` Strong NP-Completeness Results
- Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
- A Statistical View of Some Chemometrics Regression Tools
- Sparse Approximate Solutions to Linear Systems