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The alternating direction method of multipliers (ADM or ADMM) breaks a complex optimization problem into much simpler subproblems. The ADM algorithms are typically short and easy to implement yet exhibit (nearly) state-of-the-art…

最优化与控制 · 数学 2021-02-02 Ming Yan , Wotao Yin

The optimal power flow (OPF) problem can be rapidly and reliably solved by employing responsive online solvers based on neural networks. The dynamic nature of renewable energy generation and the variability of power grid conditions…

系统与控制 · 电气工程与系统科学 2025-02-25 Kejun Chen , Shourya Bose , Yu Zhang

The Alternating Direction Method of Multipliers (ADMM) and its distributed version have been widely used in machine learning. In the iterations of ADMM, model updates using local private data and model exchanges among agents impose critical…

机器学习 · 计算机科学 2020-08-12 Jiahao Ding , Jingyi Wang , Guannan Liang , Jinbo Bi , Miao Pan

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

In recent years, spiking neural networks (SNNs) have gained momentum due to their high potential in time-series processing combined with minimal energy consumption. However, they still lack a dedicated and efficient training algorithm. The…

机器学习 · 计算机科学 2026-01-21 Giovanni Perin , Cesare Bidini , Riccardo Mazzieri , Michele Rossi

In this paper, we introduce a unified framework for studying various cloud traffic management problems, ranging from geographical load balancing to backbone traffic engineering. We first abstract these real-world problems as a…

网络与互联网体系结构 · 计算机科学 2016-02-04 Chen Feng , Hong Xu , Baochun Li

This paper proposes a convex optimization based distributed algorithm to solve multi-period optimal gas-power flow (OGPF) in coupled energy distribution systems. At the gas distribution system side, the non-convex Weymouth gas flow…

最优化与控制 · 数学 2016-10-18 Cheng Wang , Wei Wei , Jianhui Wang , Linquan Bai , Yile Liang

Online optimization has emerged as powerful tool in large scale optimization. In this pa- per, we introduce efficient online optimization algorithms based on the alternating direction method (ADM), which can solve online convex optimization…

机器学习 · 计算机科学 2013-07-11 Huahua Wang , Arindam Banerjee

Power system operators are increasingly looking toward distributed optimization to address various challenges facing electric power systems. To assess their capabilities in environments with nonideal communications, this paper investigates…

系统与控制 · 电气工程与系统科学 2022-07-05 Mohannad Alkhraijah , Carlos Menendez , Daniel K. Molzahn

In this paper we present a convex formulation of the Model Predictive Control (MPC) optimisation for energy management in hybrid electric vehicles, and an Alternating Direction Method of Multipliers (ADMM) algorithm for its solution. We…

最优化与控制 · 数学 2019-01-24 Sebastian East , Mark Cannon

We investigate the distributed DC-Optimal Power Flow (DC-OPF) problem for a dynamic and uncertain environment. The unpredictable supply of renewable resources and varying prices of the electricity market are a few factors responsible for…

最优化与控制 · 数学 2023-08-10 Sushobhan Chatterjee , Rachel Kalpana Kalaimani

We consider a resource allocation problem over an undirected network of agents, where edges of the network define communication links. The goal is to minimize the sum of agent-specific convex objective functions, while the agents' decisions…

最优化与控制 · 数学 2019-11-27 Goran Banjac , Felix Rey , Paul Goulart , John Lygeros

This paper addresses the problem of optimal linear filtering in a network of local estimators, commonly referred to as distributed Kalman filtering (DKF). The DKF problem is formulated within a distributed optimization framework, where…

系统与控制 · 电气工程与系统科学 2025-01-23 Muhammad Iqbal , Kundan Kumar , Simo Särkkä

To reduce complexity and achieve scalable performance in high-dimensional black-box settings, we propose a distributed method for nonconvex derivative-free optimization of continuous variables with an additively separable objective, subject…

最优化与控制 · 数学 2025-11-03 Damilola Fasiku , Wentao Tang

As problems in machine learning, smartgrid dispatch, and IoT coordination problems have grown, distributed and fully-decentralized optimization models have gained attention for providing computational scalability to optimization tools.…

最优化与控制 · 数学 2018-05-30 Eric Munsing , Scott Moura

This work proposes a novel adaptive linearized alternating direction multiplier method (LADMM) to convex optimization, which improves the convergence rate of the LADMM-based algorithm by adjusting step-size iteratively.The innovation of…

最优化与控制 · 数学 2024-07-04 Boran Wang

There has been an increasing necessity for scalable optimization methods, especially due to the explosion in the size of datasets and model complexity in modern machine learning applications. Scalable solvers often distribute the…

最优化与控制 · 数学 2020-09-08 Guilherme França , José Bento

Optimal transmission switching (OTS) improves optimal power flow (OPF) by selectively opening transmission lines, but its mixed-integer formulation increases computational complexity, especially on large grids. To deal with this, we propose…

系统与控制 · 电气工程与系统科学 2025-07-24 Minsoo Kim , Jip Kim

We consider the unit commitment (UC) problem that employs the alternating current optimal power flow (ACOPF) constraints, which is formulated as a mixed-integer nonlinear programming problem and thus challenging to solve in practice. We…

最优化与控制 · 数学 2023-10-23 Weiqi Zhang , Youngdae Kim , Kibaek Kim

Consider a set of N agents seeking to solve distributively the minimization problem $\inf_{x} \sum_{n = 1}^N f_n(x)$ where the convex functions $f_n$ are local to the agents. The popular Alternating Direction Method of Multipliers has the…

分布式、并行与集群计算 · 计算机科学 2014-12-30 Franck Iutzeler , Pascal Bianchi , Philippe Ciblat , Walid Hachem