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 …
various fields and there are many variant versions tailored for different models. Moreover, its …
Federated Learning and Meta Learning: Approaches, Applications, and Directions
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 …
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 …
solution methods for many statistical and machine learning models rely on optimization. The …
Quantum distributed unit commitment: An application in microgrids
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 …
power system problems such as Unit Commitment are solved. The Unit Commitment …
Linearized ADMM for nonconvex nonsmooth optimization with convergence analysis
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 …
been widely used to solve linearly constrained problems in signal processing, machine …
A two-level ADMM algorithm for AC OPF with global convergence guarantees
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 …
power flow (OPF) problem with convergence guarantees. The presence of highly nonconvex …
A proximal alternating direction method of multiplier for linearly constrained nonconvex minimization
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 …
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
Solving combinatorial optimization problems on current noisy quantum devices is currently
being advocated for (and restricted to) binary polynomial optimization with equality …
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
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 …
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 …
PL-ADMM, for solving linearly constrained nonconvex and possibly nonsmooth optimization …