Decomposition into low-rank plus additive matrices for background/foreground separation: A review for a comparative evaluation with a large-scale dataset

T Bouwmans, A Sobral, S Javed, SK Jung… - Computer Science …, 2017 - Elsevier
Background/foreground separation is the first step in video surveillance system to detect
moving objects. Recent research on problem formulations based on decomposition into low …

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 …

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 …

The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent

C Chen, B He, Y Ye, X Yuan - Mathematical Programming, 2016 - Springer
The alternating direction method of multipliers (ADMM) is now widely used in many fields,
and its convergence was proved when two blocks of variables are alternatively updated. It is …

Fast and accurate matrix completion via truncated nuclear norm regularization

Y Hu, D Zhang, J Ye, X Li, X He - IEEE transactions on pattern …, 2012 - ieeexplore.ieee.org
Recovering a large matrix from a small subset of its entries is a challenging problem arising
in many real applications, such as image inpainting and recommender systems. Many …

Linearized alternating direction method with adaptive penalty for low-rank representation

Z Lin, R Liu, Z Su - Advances in neural information …, 2011 - proceedings.neurips.cc
Many machine learning and signal processing problems can be formulated as linearly
constrained convex programs, which could be efficiently solved by the alternating direction …

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 …

A generalized low-rank appearance model for spatio-temporally correlated rain streaks

YL Chen, CT Hsu - … of the IEEE international conference on …, 2013 - openaccess.thecvf.com
In this paper, we propose a novel low-rank appearance model for removing rain streaks.
Different from previous work, our method needs neither rain pixel detection nor time …

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 …

Multi-agent distributed optimization via inexact consensus ADMM

TH Chang, M Hong, X Wang - IEEE Transactions on Signal …, 2014 - ieeexplore.ieee.org
Multi-agent distributed consensus optimization problems arise in many signal processing
applications. Recently, the alternating direction method of multipliers (ADMM) has been …