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Stochastic gradient descent-based algorithms are widely used for training deep neural networks but often suffer from slow convergence. To address the challenge, we leverage the framework of the alternating direction method of multipliers…

机器学习 · 计算机科学 2025-02-03 Ouya Wang , Shenglong Zhou , Geoffrey Ye Li

Non-convex AC optimal power flow (AC-OPF) is a fundamental optimization problem in power system analysis. The computational complexity of conventional solvers is typically high and not suitable for large-scale networks in real-time…

系统与控制 · 电气工程与系统科学 2022-12-09 Kejun Chen , Shourya Bose , Yu Zhang

Latency is inherent in almost all real-world networked applications. In this paper, we propose a distributed allocation strategy over multi-agent networks with delayed communications. The state of each agent (or node) represents its share…

系统与控制 · 电气工程与系统科学 2022-08-31 Mohammadreza Doostmohammadian , Wei Jiang , Themistoklis Charalambous

This paper considers a convex optimization problem with cost and constraints that evolve over time. The function to be minimized is strongly convex and possibly non-differentiable, and variables are coupled through linear constraints. In…

系统与控制 · 电气工程与系统科学 2021-01-13 Yijian Zhang , Emiliano Dall'Anese , Mingyi Hong

In this paper, we review the parallel and distributed optimization algorithms based on the alternating direction method of multipliers (ADMM) for solving "big data" optimization problems in modern communication networks. We first introduce…

数值分析 · 计算机科学 2015-04-09 Lanchao Liu , Zhu Han

The alternating direction method of multipliers (ADMM) has recently been recognized as a promising approach for large-scale machine learning models. However, very few results study ADMM from the aspect of communication costs, especially…

分布式、并行与集群计算 · 计算机科学 2019-11-25 Yu Ye , Hao Chen , Zheng Ma , Ming Xiao

Optimal Power Flow (OPF) is a fundamental problem in power systems. It is computationally challenging and a recent line of research has proposed the use of Deep Neural Networks (DNNs) to find OPF approximations at vastly reduced runtimes…

机器学习 · 计算机科学 2021-11-23 My H. Dinh , Ferdinando Fioretto , Mostafa Mohammadian , Kyri Baker

We consider a class of distributed optimization problem where the objective function consists of a sum of strongly convex and smooth functions and a (possibly nonsmooth) convex regularizer. A multi-agent network is assumed, where each agent…

最优化与控制 · 数学 2021-10-01 Yichuan Li , Yonghai Gong , Nikolaos M. Freris , Petros Voulgaris , Dusan Stipanovic

In this paper, we study efficient and robust computational methods for solving the security-constrained alternating current optimal power flow (SC-ACOPF) problem, a two-stage nonlinear optimization problem with disjunctive constraints, that…

最优化与控制 · 数学 2023-08-11 Amin Gholami , Kaizhao Sun , Shixuan Zhang , Xu Andy Sun

This paper presents a parametric quadratic approximation of the AC optimal power flow (AC-OPF) problem for time-sensitive and market-based applications. The parametric approximation preserves the physics-based but simple representation…

最优化与控制 · 数学 2024-10-25 Gonzalo E. Constante-Flores , André H. Quisaguano , Antonio J. Conejo , Can Li

Alternating direction method of multiplier (ADMM) is a popular method used to design distributed versions of a machine learning algorithm, whereby local computations are performed on local data with the output exchanged among neighbors in…

机器学习 · 计算机科学 2018-06-07 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

To facilitate efficient embedded and hardware implementations of deep neural networks (DNNs), two important categories of DNN model compression techniques: weight pruning and weight quantization are investigated. The former leverages the…

机器学习 · 计算机科学 2019-01-03 Ao Ren , Tianyun Zhang , Shaokai Ye , Jiayu Li , Wenyao Xu , Xuehai Qian , Xue Lin , Yanzhi Wang

Recently, there has been an increasing interest in using tools from dynamical systems to analyze the behavior of simple optimization algorithms such as gradient descent and accelerated variants. This paper strengthens such connections by…

最优化与控制 · 数学 2018-08-02 Guilherme França , Daniel P. Robinson , René Vidal

In this work, we study a generic network cost minimization problem, in which every node has a local decision vector to determine. Each node incurs a cost depending on its decision vector and each link also incurs a cost depending on the…

最优化与控制 · 数学 2017-02-27 Xuanyu Cao , K. J. Ray Liu

AC/multi-terminal DC (MTDC) hybrid power systems have emerged as a solution for the large-scale and longdistance accommodation of power produced by renewable energy systems (RESs). To ensure the optimal operation of such hybrid power…

最优化与控制 · 数学 2024-09-26 Haixiao Li , Aleksandra Lekić

This paper considers an optimization problem that components of the objective function are available at different nodes of a network and nodes are allowed to only exchange information with their neighbors. The decentralized alternating…

最优化与控制 · 数学 2015-11-27 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

Many machine learning models, including those with non-smooth regularizers, can be formulated as consensus optimization problems, which can be solved by the alternating direction method of multipliers (ADMM). Many recent efforts have been…

机器学习 · 计算机科学 2018-02-27 Rui Zhu , Di Niu , Zongpeng Li

We address distributed learning problems over undirected networks. Specifically, we focus on designing a novel ADMM-based algorithm that is jointly computation- and communication-efficient. Our design guarantees computational efficiency by…

机器学习 · 计算机科学 2026-01-21 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini

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

Solving the power flow problem in a distributed fashion empowers different grid operators to compute the overall grid state without having to share grid models-this is a practical problem to which industry does not have off-the-shelf…

最优化与控制 · 数学 2020-11-23 Tillmann Mühlpfordt , Xinliang Dai , Alexander Engelmann , Veit Hagenmeyer