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In this paper, we unroll the dynamics of the dual ascent (DA) algorithm in two coupled graph neural networks (GNNs) to solve constrained optimization problems. The two networks interact with each other at the layer level to find a saddle…

机器学习 · 计算机科学 2026-02-03 Samar Hadou , Alejandro Ribeiro

Continuous-time primal-dual gradient dynamics (PDGD) is an ubiquitous approach for dynamically solving constrained distributed optimization problems. Yet, the distributed nature of the dynamics makes it prone to communication uncertainties,…

系统与控制 · 电气工程与系统科学 2026-03-20 Gökçen Devlet Şen , Juan E. Machado , Gülay Öke Günel , Johannes Schiffer

The increasing deployment of distribution-level phasor measurement units (PMUs) calls for dynamic distribution state estimation (DDSE) approaches that tap into high-rate measurements to maintain a comprehensive view of the…

最优化与控制 · 数学 2020-01-09 Jianhan Song , Emiliano Dall'Anese , Andrea Simonetto , Hao Zhu

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

最优化与控制 · 数学 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

The distributed adaptive signal fusion (DASF) framework allows to solve spatial filtering optimization problems in a distributed and adaptive fashion over a bandwidth-constrained wireless sensor network. The DASF algorithm requires each…

信号处理 · 电气工程与系统科学 2025-05-02 Cem Ates Musluoglu , Alexander Bertrand

We consider the problem of smart and flexible loads providing contingency reserves to the electric grid and provide a Distributed Gradient Projection (DGP) algorithm to minimize loads' disutility while providing contingency services. Each…

最优化与控制 · 数学 2017-06-30 Jonathan Brooks , Prabir Barooah

In this paper, we address the distributed optimization problem over unidirectional networks with possibly time-invariant heterogeneous bounded transmission delays. In particular, we propose a modified version of the Accelerated Distributed…

Generative diffusion models, famous for their performance in image generation, are popular in various cross-domain applications. However, their use in the communication community has been mostly limited to auxiliary tasks like data modeling…

网络与互联网体系结构 · 计算机科学 2025-03-11 Ruihuai Liang , Bo Yang , Zhiwen Yu , Bin Guo , Xuelin Cao , Mérouane Debbah , H. Vincent Poor , Chau Yuen

Methods for distributed optimization have received significant attention in recent years owing to their wide applicability in various domains. A distributed optimization method typically consists of two key components: communication and…

最优化与控制 · 数学 2018-06-04 Albert S. Berahas , Raghu Bollapragada , Nitish Shirish Keskar , Ermin Wei

This paper develops and analyzes an online distributed proximal-gradient method (DPGM) for time-varying composite convex optimization problems. Each node of the network features a local cost that includes a smooth strongly convex function…

最优化与控制 · 数学 2024-05-07 Nicola Bastianello , Emiliano Dall'Anese

This paper studies distributed resource allocation problem in multi-agent systems, where all the agents cooperatively minimize the sum of their cost functions with global resource constraints over stochastic communication networks. This…

最优化与控制 · 数学 2021-04-27 Tie Ding , Shanying Zhu , Cailian Chen , Xinping Guan

The goal of this paper is to investigate distributed temporal difference (TD) learning for a networked multi-agent Markov decision process. The proposed approach is based on distributed optimization algorithms, which can be interpreted as…

机器学习 · 计算机科学 2025-05-14 Han-Dong Lim , Donghwan Lee

In this paper, we introduce an accelerated distributed stochastic gradient method with momentum for solving the distributed optimization problem, where a group of $n$ agents collaboratively minimize the average of the local objective…

最优化与控制 · 数学 2025-03-27 Kun Huang , Shi Pu , Angelia Nedić

This paper applies the Anderson Acceleration (AA) technique to accelerate the Fenchel dual gradient method (FDGM) to solve constrained optimization problems over time-varying networks. AA is originally designed for accelerating fixed-point…

最优化与控制 · 数学 2026-01-21 Haijuan Liu , Xuyang Wu

We propose two variants of the Primal Dual Hybrid Gradient (PDHG) algorithm for saddle point problems with block decomposable duals, hereafter called Multi-Timescale PDHG (MT-PDHG) and its accelerated variant (AMT-PDHG). Through novel…

最优化与控制 · 数学 2026-04-03 Junhui Zhang , Patrick Jaillet

In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

系统与控制 · 电气工程与系统科学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

In this paper, we propose a distributed algorithm, called Directed-Distributed Gradient Descent (D-DGD), to solve multi-agent optimization problems over directed graphs. Existing algorithms mostly deal with similar problems under the…

最优化与控制 · 数学 2016-02-02 Chenguang Xi , Qiong Wu , Usman A. Khan

In this paper, we consider uplink transmissions involving multiple users communicating with a base station over a fading channel. We assume that the base station does not coordinate the transmissions of the users and hence the users employ…

计算机科学与博弈论 · 计算机科学 2009-08-25 Nitin Salodkar , Abhay Karandikar

We investigate the distributed online economic dispatch problem for power systems with time-varying coupled inequality constraints. The problem is formulated as a distributed online optimization problem in a multi-agent system. At each time…

最优化与控制 · 数学 2025-12-25 Yingjie Zhou , Xiaoqian Wang , Tao Li

This paper studies a distributed online convex optimization problem, where agents in an unbalanced network cooperatively minimize the sum of their time-varying local cost functions subject to a coupled inequality constraint. To solve this…

最优化与控制 · 数学 2023-09-06 Dandan Wang , Daokuan Zhu , Kin Cheong Sou , Jie Lu