A survey on some recent developments of alternating direction method of multipliers

DR Han - Journal of the Operations Research Society of China, 2022 - Springer
Recently, alternating direction method of multipliers (ADMM) attracts much attentions from
various fields and there are many variant versions tailored for different models. Moreover, its …

[HTML][HTML] Multimodal remote sensing benchmark datasets for land cover classification with a shared and specific feature learning model

D Hong, J Hu, J Yao, J Chanussot, XX Zhu - ISPRS Journal of …, 2021 - Elsevier
As remote sensing (RS) data obtained from different sensors become available largely and
openly, multimodal data processing and analysis techniques have been garnering …

Learning tensor low-rank representation for hyperspectral anomaly detection

M Wang, Q Wang, D Hong, SK Roy… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Recently, low-rank representation (LRR) methods have been widely applied for
hyperspectral anomaly detection, due to their potentials in separating the backgrounds and …

Global convergence of ADMM in nonconvex nonsmooth optimization

Y Wang, W Yin, J Zeng - Journal of Scientific Computing, 2019 - Springer
In this paper, we analyze the convergence of the alternating direction method of multipliers
(ADMM) for minimizing a nonconvex and possibly nonsmooth objective function, ϕ (x_0 …

The rise of nonnegative matrix factorization: algorithms and applications

YT Guo, QQ Li, CS Liang - Information Systems, 2024 - Elsevier
Although nonnegative matrix factorization (NMF) is widely used, some matrix factorization
methods result in misleading results and waste of computing resources due to lack of timely …

Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems

M Hong, ZQ Luo, M Razaviyayn - SIAM Journal on Optimization, 2016 - SIAM
The alternating direction method of multipliers (ADMM) is widely used to solve large-scale
linearly constrained optimization problems, convex or nonconvex, in many engineering …

A three-operator splitting scheme and its optimization applications

D Davis, W Yin - Set-valued and variational analysis, 2017 - Springer
Operator-splitting methods convert optimization and inclusion problems into fixed-point
equations; when applied to convex optimization and monotone inclusion problems, the …

On the linear convergence of the alternating direction method of multipliers

M Hong, ZQ Luo - Mathematical Programming, 2017 - Springer
We analyze the convergence rate of the alternating direction method of multipliers (ADMM)
for minimizing the sum of two or more nonsmooth convex separable functions subject to …

Parallel Multi-Block ADMM with o(1 / k) Convergence

W Deng, MJ Lai, Z Peng, W Yin - Journal of Scientific Computing, 2017 - Springer
This paper introduces a parallel and distributed algorithm for solving the following
minimization problem with linear constraints: minimize~~ &f_1 (x _1)+ ⋯+ f_N (x _N)\subject …

Guaranteed tensor recovery fused low-rankness and smoothness

H Wang, J Peng, W Qin, J Wang… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Tensor recovery is a fundamental problem in tensor research field. It generally requires to
explore intrinsic prior structures underlying tensor data, and formulate them as certain forms …