Robust low-rank tensor recovery via nonconvex singular value minimization

L Chen, X Jiang, X Liu, Z Zhou - IEEE Transactions on Image …, 2020 - ieeexplore.ieee.org
Tensor robust principal component analysis via tensor nuclear norm (TNN) minimization has
been recently proposed to recover the low-rank tensor corrupted with sparse noise/outliers …

Off-grid DOA estimation with nonconvex regularization via joint sparse representation

Q Liu, HC So, Y Gu - Signal Processing, 2017 - Elsevier
In this paper, we address the problem of direction-of-arrival (DOA) estimation using sparse
representation. As the performance of on-grid DOA estimation methods will degrade when …

Learning proximal operator methods for nonconvex sparse recovery with theoretical guarantee

C Yang, Y Gu, B Chen, H Ma… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Sparse recovery has attracted considerable attention in signal processing community these
years, because of its widespread usage in many applications. Though lots of convex and …

Square-root lasso with nonconvex regularization: An admm approach

X Shen, L Chen, Y Gu, HC So - IEEE Signal Processing Letters, 2016 - ieeexplore.ieee.org
Square-root least absolute shrinkage and selection operator (Lasso), a variant of Lasso, has
recently been proposed with a key advantage that the optimal regularization parameter is …

An off-grid DOA estimation method using proximal splitting and successive nonconvex sparsity approximation

X Zhang, T Jiang, Y Li, X Liu - IEEE Access, 2019 - ieeexplore.ieee.org
Direction-of-arrival (DOA) estimation is a fundamental problem in many signal processing.
Recently, a variety of sparsity-aware methods have been proposed for DOA estimation. The …

Nonconvex sparse logistic regression with weakly convex regularization

X Shen, Y Gu - IEEE Transactions on Signal Processing, 2018 - ieeexplore.ieee.org
In this paper, we propose to fit a sparse logistic regression model by a weakly convex
regularized nonconvex optimization problem. The idea is based on the finding that a weakly …

Sparse Recovery Conditions and Performance Bounds for -Minimization

C Yang, X Shen, H Ma, Y Gu… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
In sparse recovery, a sparse signal with nonzero entries is to be reconstructed from a
compressed measurement with (). The pseudonorm has been found to be a sparsity …

2-D learned proximal gradient algorithm for fast sparse matrix recovery

C Yang, Y Gu, B Chen, H Ma… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Many real-world problems can be modeled as sparse matrix recovery from two-dimensional
(2D) measurements, which is recognized as one of the most important topics in signal …

Nonconvex sparse logistic regression via proximal gradient descent

X Shen, Y Gu - … Conference on Acoustics, Speech and Signal …, 2018 - ieeexplore.ieee.org
In this work we propose to fit a sparse logistic regression model by a weakly convex
regularized nonconvex optimization problem. The idea is based on the finding that a weakly …