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 …

Federated Learning and Meta Learning: Approaches, Applications, and Directions

X Liu, Y Deng, A Nallanathan… - … Surveys & Tutorials, 2023 - ieeexplore.ieee.org
Over the past few years, significant advancements have been made in the field of machine
learning (ML) to address resource management, interference management, autonomy, and …

[LIVRE][B] First-order and stochastic optimization methods for machine learning

G Lan - 2020 - Springer
Since its beginning, optimization has played a vital role in data science. The analysis and
solution methods for many statistical and machine learning models rely on optimization. The …

Quantum distributed unit commitment: An application in microgrids

N Nikmehr, P Zhang, MA Bragin - IEEE transactions on power …, 2022 - ieeexplore.ieee.org
The dawn of quantum computing brings on a revolution in the way combinatorially complex
power system problems such as Unit Commitment are solved. The Unit Commitment …

Linearized ADMM for nonconvex nonsmooth optimization with convergence analysis

Q Liu, X Shen, Y Gu - IEEE access, 2019 - ieeexplore.ieee.org
Linearized alternating direction method of multipliers (ADMM) as an extension of ADMM has
been widely used to solve linearly constrained problems in signal processing, machine …

A two-level ADMM algorithm for AC OPF with global convergence guarantees

K Sun, XA Sun - IEEE Transactions on Power Systems, 2021 - ieeexplore.ieee.org
This paper proposes a two-level distributed algorithmic framework for solving the AC optimal
power flow (OPF) problem with convergence guarantees. The presence of highly nonconvex …

A proximal alternating direction method of multiplier for linearly constrained nonconvex minimization

J Zhang, ZQ Luo - SIAM Journal on Optimization, 2020 - SIAM
Consider the minimization of a nonconvex differentiable function over a bounded
polyhedron. A popular primal-dual first-order method for this problem is to perform a gradient …

Multiblock ADMM heuristics for mixed-binary optimization on classical and quantum computers

C Gambella, A Simonetto - IEEE Transactions on Quantum …, 2020 - ieeexplore.ieee.org
Solving combinatorial optimization problems on current noisy quantum devices is currently
being advocated for (and restricted to) binary polynomial optimization with equality …

Complexity of an inexact proximal-point penalty method for constrained smooth non-convex optimization

Q Lin, R Ma, Y Xu - Computational optimization and applications, 2022 - Springer
In this paper, an inexact proximal-point penalty method is studied for constrained
optimization problems, where the objective function is non-convex, and the constraint …

Convergence and rate analysis of a proximal linearized ADMM for nonconvex nonsmooth optimization

M Yashtini - Journal of Global Optimization, 2022 - Springer
In this paper, we consider a proximal linearized alternating direction method of multipliers, or
PL-ADMM, for solving linearly constrained nonconvex and possibly nonsmooth optimization …