Minimization of transformed L1 penalty: theory, difference of convex function algorithm, and robust application in compressed sensing

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

(2017) Miju Ahn et al.   SIAM JOURNAL ON OPTIMIZATION

Point Source Super-resolution Via Non-convex $$L_1$$ L 1 Based Methods

(2016) Yifei Lou et al.   JOURNAL OF SCIENTIFIC COMPUTING

DC approximation approaches for sparse optimization

(2015) H.A. Le Thi et al.   EUROPEAN JOURNAL OF OPERATIONAL RESEARCH

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

(2015) Emmanuel Soubies et al.   SIAM Journal on Imaging Sciences

Minimization of $\ell_{1-2}$ for Compressed Sensing

(2015) Penghang Yin et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

$L_{1/2}$ Regularization: Convergence of Iterative Half Thresholding Algorithm

(2014) Jinshan Zeng et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Computing Sparse Representation in a Highly Coherent Dictionary Based on Difference of L 1 and L 2

(2014) Yifei Lou et al.   JOURNAL OF SCIENTIFIC COMPUTING

Super-Resolution from Noisy Data

(2013) Emmanuel J. Candès et al.   JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

A Method for Finding Structured Sparse Solutions to Nonnegative Least Squares Problems with Applications

(2013) Ernie Esser et al.   SIAM Journal on Imaging Sciences

Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed $\ell_q$ Minimization

(2013) Ming-Jun Lai et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Sparse Approximation via Penalty Decomposition Methods

(2013) Zhaosong Lu et al.   SIAM JOURNAL ON OPTIMIZATION

Fast image deconvolution using closed-form thresholding formulas of regularization

(2012) Wenfei Cao et al.   JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION

Learning sparse classifiers with difference of convex functions algorithms

(2012) Cheng Soon Ong et al.   OPTIMIZATION METHODS & SOFTWARE

Coherence Pattern–Guided Compressive Sensing with Unresolved Grids

(2012) Albert Fannjiang et al.   SIAM Journal on Imaging Sciences

A hybrid simulated annealing thresholding algorithm for compressed sensing

(2012) Xu Fengmin et al.   SIGNAL PROCESSING

$L_{1/2}$ Regularization: A Thresholding Representation Theory and a Fast Solver

(2012) Zongben Xu et al.   IEEE Transactions on Neural Networks and Learning Systems

SparseNet: Coordinate Descent With Nonconvex Penalties

(2011) Rahul Mazumder et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Alternating Direction Algorithms for $\ell_1$-Problems in Compressive Sensing

(2011) Junfeng Yang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Nearly unbiased variable selection under minimax concave penalty

(2010) Cun-Hui Zhang   ANNALS OF STATISTICS

Signal Recovery From Incomplete and Inaccurate Measurements Via Regularized Orthogonal Matching Pursuit

(2010) Deanna Needell et al.   IEEE Journal of Selected Topics in Signal Processing

A unified approach to model selection and sparse recovery using regularized least squares

(2009) Jinchi Lv et al.   ANNALS OF STATISTICS

The Split Bregman Method for L1-Regularized Problems

(2009) Tom Goldstein et al.   SIAM Journal on Imaging Sciences

Compressed sensing and best $k$-term approximation

(2008) Albert Cohen et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing

(2008) Wotao Yin et al.   SIAM Journal on Imaging Sciences