activity
20162020
most citedMinimization of fraction function penalty in compressed sensing

45 citations · 52 across the 14 of their papers we have counts for

collaborators

14 papers

math.OC2020

Adaptive iterative singular value thresholding algorithm to low-rank matrix recovery

Angang Cui, Jigen Peng, Haiyang Li

The problem of recovering a low-rank matrix from the linear constraints, known as affine matrix rank minimization problem, has been attracting extensive attention in recent years.…

math.OC2019★ 1 cited

Nonconvex fraction function recovery sparse signal by convex optimization algorithm

Angang Cui, Jigen Peng, Haiyang Li +1

In this paper, we will generate a convex iterative FP thresholding algorithm to solve the problem . Two schemes of convex iterative FP thresholding algorithms are gener…

math.OC2018

A non-convex approach to low-rank and sparse matrix decomposition

Angang Cui, Meng Wen, Haiyang Li +1

In this paper, we develop a nonconvex approach to the problem of low-rank and sparse matrix decomposition. In our nonconvex method, we replace the rank function and the -nor…

math.OC2018★ 2 cited

Iterative thresholding algorithm based on non-convex method for modified lp-norm regularization minimization

Angang Cui, Jigen Peng, Haiyang Li +2

Recently, the -norm regularization minimization problem has attracted great attention in compressed sensing. However, the -norm in problem…

math.OC2018

A New Nonconvex Strategy to Affine Matrix Rank Minimization Problem

Angang Cui, Jigen Peng, Haiyang Li +2

The affine matrix rank minimization (AMRM) problem is to find a matrix of minimum rank that satisfies a given linear system constraint. It has many applications in some important a…

math.OC2018

Sparse Portfolio Selection via Non-convex Fraction Function

Angang Cui, Jigen Peng, Chengyi Zhang +2

In this paper, a continuous and non-convex promoting sparsity fraction function is studied in two sparse portfolio selection models with and without short-selling constraints. Firs…

math.OC2018★ 2 cited

Modified lp-norm regularization minimization for sparse signal recovery

Angang Cui, Jigen Peng, Haiyang Li

In numerous substitution models for the -norm minimization problem , the -norm minimization with have been considered as the most natural c…

math.OC2017

Recovering Sparse Nonnegative Signals via Non-convex Fraction Function Penalty

Angang Cui, Haiyang Li, Meng Wen +1

Many real world practical problems can be formulated as -minimization problems with nonnegativity constraints, which seek the sparsest nonnegative signals to underdetermi…

math.OC2017

Generalized singular value thresholding operator to affine matrix rank minimization problem

Angang Cui, Haiyang Li, Jigen Peng +1

It is well known that the affine matrix rank minimization problem is NP-hard and all known algorithms for exactly solving it are doubly exponential in theory and in practice due to…

math.OC2017★ 45 cited

Minimization of fraction function penalty in compressed sensing

Haiyang Li, Qian Zhang, Angang Cui +1

In the paper, we study the minimization problem of a non-convex sparsity promoting penalty function $$P_{a}(x)=\sum_{i=1}^{n}p_{a}(x_{i})=\sum_{i=1}^{n}\frac{a|x_{i}|}{1+a|x_{i}|}$…

math.OC2017

Non-convex Fraction Function Penalty: Sparse Signals Recovered from Quasi-linear Systems

Angang Cui, Jigen Peng, Haiyang Li

The goal of compressed sensing is to reconstruct a sparse signal under a few linear measurements far less than the dimension of the ambient space of the signal. However, many real-…

math.OC2016

Exact recovery low-rank matrix via transformed affine matrix rank minimization

Angang Cui, Jigen Peng, Haiyang Li

The goal of affine matrix rank minimization problem is to reconstruct a low-rank or approximately low-rank matrix under linear constraints. In general, this problem is combinatoria…

math.OC2016★ 1 cited

Affine matrix rank minimization problem via non-convex fraction function penalty

Angang Cui, Jigen Peng, Haiyang Li +2

Affine matrix rank minimization problem is a fundamental problem with a lot of important applications in many fields. It is well known that this problem is combinatorial and NP-har…

math.OC2016★ 1 cited

An inertial primal-dual fixed point algorithm for composite optimization problems

Meng Wen, Yu-Chao Tang, Jigen Peng

We consider an inertial primal-dual fixed point algorithm (IPDFP) to compute the minimizations of the following Problem (1.1). This is a full splitting approach, in the sense that…