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 …

Robust PCA via principal component pursuit: A review for a comparative evaluation in video surveillance

T Bouwmans, EH Zahzah - Computer Vision and Image Understanding, 2014 - Elsevier
Foreground detection is the first step in video surveillance system to detect moving objects.
Recent research on subspace estimation by sparse representation and rank minimization …

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 …

Fast alternating direction optimization methods

T Goldstein, B O'Donoghue, S Setzer… - SIAM Journal on Imaging …, 2014 - SIAM
Alternating direction methods are a common tool for general mathematical programming
and optimization. These methods have become particularly important in the field of …

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 …

On the global and linear convergence of the generalized alternating direction method of multipliers

W Deng, W Yin - Journal of Scientific Computing, 2016 - Springer
The formulation _ x, y~ f (x)+ g (y),\quad subject to Ax+ By= b, min x, yf (x)+ g (y), subject to A
x+ B y= b, where f and g are extended-value convex functions, arises in many application …

Learning to rank using user clicks and visual features for image retrieval

J Yu, D Tao, M Wang, Y Rui - IEEE transactions on cybernetics, 2014 - ieeexplore.ieee.org
The inconsistency between textual features and visual contents can cause poor image
search results. To solve this problem, click features, which are more reliable than textual …

Nuclear norm based matrix regression with applications to face recognition with occlusion and illumination changes

J Yang, L Luo, J Qian, Y Tai, F Zhang… - IEEE transactions on …, 2016 - ieeexplore.ieee.org
Recently, regression analysis has become a popular tool for face recognition. Most existing
regression methods use the one-dimensional, pixel-based error model, which characterizes …

On the o (1= k) convergence of asynchronous distributed alternating direction method of multipliers

E Wei, A Ozdaglar - 2013 IEEE Global Conference on Signal …, 2013 - ieeexplore.ieee.org
We consider a network of agents that are cooperatively solving a global optimization
problem, where the objective function is the sum of privately known local objective functions …

Incremental gradient, subgradient, and proximal methods for convex optimization: A survey

DP Bertsekas - 2011 - direct.mit.edu
4 Incremental Gradient, Subgradient, and Proximal Methods for Convex Optimization: A
Survey Page 1 4 Incremental Gradient, Subgradient, and Proximal Methods for Convex …