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We consider a multi-agent reinforcement learning problem where each agent seeks to maximize a shared reward while interacting with other agents, and they may or may not be able to communicate. Typically the agents do not have access to…

Multiagent Systems · Computer Science 2021-04-26 Alex Tong Lin , Mark J. Debord , Katia Estabridis , Gary Hewer , Guido Montufar , Stanley Osher

This paper is devoted to distributed continuous-time and discrete-time optimization problems with nonuniform convex constraint sets and nonuniform stepsizes for general differentiable convex objective functions. The communication graphs are…

Optimization and Control · Mathematics 2020-03-03 Peng Lin , Wei Ren , Chunhua Yang , Weihua Gui

Diffusion-based classifiers such as those relying on the Personalized PageRank and the Heat kernel, enjoy remarkable classification accuracy at modest computational requirements. Their performance however is affected by the extent to which…

Machine Learning · Statistics 2019-02-20 Dimitris Berberidis , Athanasios N. Nikolakopoulos , Georgios B. Giannakis

We propose a novel algorithm for solving convex, constrained and distributed optimization problems defined on multi-agent-networks, where each agent has exclusive access to a part of the global objective function. The agents are able to…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

One of the most common methods to train machine learning algorithms today is the stochastic gradient descent (SGD). In a distributed setting, SGD-based algorithms have been shown to converge theoretically under specific circumstances. A…

Machine Learning · Computer Science 2025-08-22 Soumya Sarkar , Shweta Jain

In this paper, we consider the unconstrained distributed optimization problem, in which the exchange of information in the network is captured by a directed graph topology, thus, nodes can only communicate with their neighbors.…

Systems and Control · Electrical Eng. & Systems 2023-12-07 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

We consider a multi agent optimization problem where a set of agents collectively solves a global optimization problem with the objective function given by the sum of locally known convex functions. We focus on the case when information…

Optimization and Control · Mathematics 2016-03-14 Ali Makhdoumi , Asuman Ozdaglar

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…

Optimization and Control · Mathematics 2021-04-27 Tie Ding , Shanying Zhu , Cailian Chen , Xinping Guan

Policy gradient methods hold great potential for solving complex continuous control tasks. Still, their training efficiency can be improved by exploiting structure within the optimization problem. Recent work indicates that supervised…

Machine Learning · Computer Science 2024-03-19 Jan Schneider , Pierre Schumacher , Simon Guist , Le Chen , Daniel Häufle , Bernhard Schölkopf , Dieter Büchler

This paper studies Dictionary Learning problems wherein the learning task is distributed over a multi-agent network, modeled as a time-varying directed graph. This formulation is relevant, for instance, in Big Data scenarios where massive…

Optimization and Control · Mathematics 2019-03-06 Amir Daneshmand , Ying Sun , Gesualdo Scutari , Francisco Facchinei , Brian M. Sadler

We develop a distributed stochastic gradient descent algorithm for solving non-convex optimization problems under the assumption that the local objective functions are twice continuously differentiable with Lipschitz continuous gradients…

Optimization and Control · Mathematics 2019-08-20 Jemin George , Tao Yang , He Bai , Prudhvi Gurram

Finding optimal bidding strategies for generation units in electricity markets would result in higher profit. However, it is a challenging problem due to the system uncertainty which is due to the unknown other generation units' strategies.…

Artificial Intelligence · Computer Science 2022-08-15 Pegah Rokhforoz , Olga Fink

Network consensus optimization has received increasing attention in recent years and has found important applications in many scientific and engineering fields. To solve network consensus optimization problems, one of the most well-known…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-10 Xin Zhang , Jia Liu , Zhengyuan Zhu , Elizabeth S. Bentley

We consider a distributed multi-agent network system where the goal is to minimize a sum of convex objective functions of the agents subject to a common convex constraint set. Each agent maintains an iterate sequence and communicates the…

Optimization and Control · Mathematics 2008-11-18 S. Sundhar Ram , A. Nedich , V. V. Veeravalli

Inspired and underpinned by the idea of integral feedback, a distributed constant gain algorithm is proposed for multi-agent networks to solve convex optimization problems with local linear constraints. Assuming agent interactions are…

Optimization and Control · Mathematics 2021-11-19 Xuan Wang , Shaoshuai Mou , Brian. D. O. Anderson

Asynchronous computation and gradient compression have emerged as two key techniques for achieving scalability in distributed optimization for large-scale machine learning. This paper presents a unified analysis framework for distributed…

Optimization and Control · Mathematics 2018-11-30 Sarit Khirirat , Hamid Reza Feyzmahdavian , Mikael Johansson

Distributed descent-based methods are an essential toolset to solving optimization problems in multi-agent system scenarios. Here the agents seek to optimize a global objective function through mutual cooperation. Oftentimes, cooperation is…

Optimization and Control · Mathematics 2019-08-28 Arunselvan Ramaswamy

This paper extends algorithms that remove the fixed point bias of decentralized gradient descent to solve the more general problem of distributed optimization over subspace constraints. Leveraging the integral quadratic constraint…

Optimization and Control · Mathematics 2022-10-31 Dennis J. Marquis , Dany Abou Jaoude , Mazen Farhood , Craig A. Woolsey

In large-scale distributed scenarios, increasingly complex tasks demand more intelligent collaboration across networks, requiring the joint extraction of structural representations from data samples. However, conventional task-specific…

Machine Learning · Computer Science 2026-04-21 Zhuojun Tian , Chaouki Ben Issaid , Mehdi Bennis

In this paper, we study resilient distributed diffusion for multi-task estimation in the presence of adversaries where networked agents must estimate distinct but correlated states of interest by processing streaming data. We show that in…

Multiagent Systems · Computer Science 2020-03-25 Jiani Li , Waseem Abbas , Xenofon Koutsoukos
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