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Many modern computer vision and machine learning applications rely on solving difficult optimization problems that involve non-differentiable objective functions and constraints. The alternating direction method of multipliers (ADMM) is a…

计算机视觉与模式识别 · 计算机科学 2017-04-11 Zheng Xu , Mario A. T. Figueiredo , Xiaoming Yuan , Christoph Studer , Tom Goldstein

An alternating direction method of multipliers (ADMM) solver is described for optimal resource allocation problems with separable convex quadratic costs and constraints and linear coupling constraints. We describe a parallel implementation…

最优化与控制 · 数学 2019-07-09 Zawar Qureshi , Sebastian East , Mark Cannon

In this work, we introduce ADAPD, $\textbf{A}$ $\textbf{D}$ecentr$\textbf{A}$lized $\textbf{P}$rimal-$\textbf{D}$ual algorithmic framework for solving non-convex and smooth consensus optimization problems over a network of distributed…

最优化与控制 · 数学 2023-02-07 Gabriel Mancino-Ball , Yangyang Xu , Jie Chen

Alternating direction method of multipliers (ADMM) is a popular first-order method owing to its simplicity and efficiency. However, similar to other proximal splitting methods, the performance of ADMM degrades significantly when the scale…

最优化与控制 · 数学 2021-08-11 Fengmiao Bian , Jingwei Liang , Xiaoqun Zhang

We propose a new stochastic dual coordinate ascent technique that can be applied to a wide range of regularized learning problems. Our method is based on Alternating Direction Multiplier Method (ADMM) to deal with complex regularization…

机器学习 · 统计学 2013-11-05 Taiji Suzuki

We introduce Wasserstein consensus alternating direction method of multipliers (ADMM) and its entropic-regularized version: Sinkhorn consensus ADMM, to solve measure-valued optimization problems with convex additive objectives. Several…

最优化与控制 · 数学 2023-09-15 Iman Nodozi , Abhishek Halder

Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal…

最优化与控制 · 数学 2025-07-08 Yacine Mokhtari , Emmanuel Moulay , Patrick Coirault , Jérôme Le Ny

The Alternating Direction Method of Multipliers (ADMM) is a widely used method for structured convex optimization, and its practical performance depends strongly on the choice of penalty and relaxation parameters. Motivated by settings such…

最优化与控制 · 数学 2026-04-30 Junan Lin , Paul J. Goulart , Luca Furieri

We describe a novel approach for computing collision-free \emph{global} trajectories for $p$ agents with specified initial and final configurations, based on an improved version of the alternating direction method of multipliers (ADMM).…

人工智能 · 计算机科学 2013-11-19 Jose Bento , Nate Derbinsky , Javier Alonso-Mora , Jonathan Yedidia

The objective of this paper is to design an efficient and convergent alternating direction method of multipliers (ADMM) for finding a solution of medium accuracy to conic programming problems whose constraints consist of linear equalities,…

最优化与控制 · 数学 2014-12-02 Defeng Sun , Kim-Chuan Toh , Liuqin Yang

Alternating Direction Method of Multiplier (ADMM) has been a popular algorithmic framework for separable optimization problems with linear constraints. For numerical ADMM fail to exploit the particular structure of the problem at hand nor…

计算机视觉与模式识别 · 计算机科学 2021-09-07 Risheng Liu , Pan Mu , Jin Zhang

We focus on the problem of performing random walks efficiently in a distributed network. Given bandwidth constraints, the goal is to minimize the number of rounds required to obtain a random walk sample. We first present a fast sublinear…

分布式、并行与集群计算 · 计算机科学 2010-03-03 Atish Das Sarma , Danupon Nanongkai , Gopal Pandurangan , Prasad Tetali

In this paper, we propose and analyze an inexact version of the symmetric proximal alternating direction method of multipliers (ADMM) for solving linearly constrained optimization problems. Basically, the method allows its first subproblem…

最优化与控制 · 数学 2020-06-05 Vando A. Adona , Max L. N. Gonçalves

In this paper, we present a new control model for optimizing pressure and water quality operations in water distribution networks. Our formulation imposes a set of time-coupling constraints to manage temporal pressure variations, which are…

最优化与控制 · 数学 2024-09-24 Bradley Jenks , Aly-Joy Ulusoy , Filippo Pecci , Ivan Stoianov

We propose a distributed algorithm based on Alternating Direction Method of Multipliers (ADMM) to minimize the sum of locally known convex functions using communication over a network. This optimization problem emerges in many applications…

最优化与控制 · 数学 2016-01-05 Ali Makhdoumi , Asuman Ozdaglar

This paper addresses the problem of nonconvex nonsmooth decentralised optimisation in multi-agent networks with undirected connected communication graphs. Our contribution lies in introducing an algorithmic framework designed for the…

最优化与控制 · 数学 2023-12-08 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

Network topology is critical for efficient parameter synchronization in distributed learning over networks. However, most existing studies do not account for bandwidth limitations in network topology design. In this paper, we propose a…

分布式、并行与集群计算 · 计算机科学 2025-12-09 Yipeng Shen , Zehan Zhu , Yan Huang , Changzhi Yan , Cheng Zhuo , Jinming Xu

The alternating direction method of multipliers (ADMM) has emerged as a powerful technique for large-scale structured optimization. Despite many recent results on the convergence properties of ADMM, a quantitative characterization of the…

最优化与控制 · 数学 2016-11-17 Euhanna Ghadimi , André Teixeira , Iman Shames , Mikael Johansson

In this paper, we design low correlation binary sequences favorable in wireless communication and radar applications. First, we formulate the designing problem as a nonconvex combination optimization problem with flexible correlation…

信号处理 · 电气工程与系统科学 2021-10-07 Jiangtao Wang , Yongchao Wang

Inexact alternating direction multiplier methods (ADMMs) are developed for solving general separable convex optimization problems with a linear constraint and with an objective that is the sum of smooth and nonsmooth terms. The approach…

最优化与控制 · 数学 2016-04-12 William W. Hager , Hongchao Zhang