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 …

Peer-to-peer energy trading in transactive markets considering physical network constraints

MH Ullah, JD Park - IEEE Transactions on Smart Grid, 2021 - ieeexplore.ieee.org
In recent years, the rapid growth of active consumers in the distribution networks transforms
the modern power markets' structure more independent, flexible, and distributed …

An introduction to continuous optimization for imaging

A Chambolle, T Pock - Acta Numerica, 2016 - cambridge.org
A large number of imaging problems reduce to the optimization of a cost function, with
typical structural properties. The aim of this paper is to describe the state of the art in …

[PDF][PDF] Linear dimensionality reduction: Survey, insights, and generalizations

JP Cunningham, Z Ghahramani - The Journal of Machine Learning …, 2015 - jmlr.org
Linear dimensionality reduction methods are a cornerstone of analyzing high dimensional
data, due to their simple geometric interpretations and typically attractive computational …

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 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 …

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 …

Training neural networks without gradients: A scalable admm approach

G Taylor, R Burmeister, Z Xu, B Singh… - International …, 2016 - proceedings.mlr.press
With the growing importance of large network models and enormous training datasets,
GPUs have become increasingly necessary to train neural networks. This is largely because …

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 …

Safe: Synergic data filtering for federated learning in cloud-edge computing

X Xu, H Li, Z Li, X Zhou - IEEE Transactions on Industrial …, 2022 - ieeexplore.ieee.org
With the increasing data scale in the Industrial Internet of Things, edge computing
coordinated with machine learning is regarded as an effective way to raise the novel latency …