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In this paper, a distributed optimization problem with general differentiable convex objective functions is studied for single-integrator and double-integrator multi-agent systems. Two distributed adaptive optimization algorithm is…

Optimization and Control · Mathematics 2017-03-28 Peng Lin , Wei Ren

Distributed optimization algorithms are used in a wide variety of problems involving complex network systems where the goal is for a set of agents in the network to solve a network-wide optimization problem via distributed update rules. In…

Optimization and Control · Mathematics 2025-09-23 Liam Hallinan , Ioannis Lestas

We study distributed optimization in a cooperative multi-agent setting, where agents have to agree on the usage of shared resources and can communicate via a time-varying network to this purpose. Each agent has its own decision variables…

Optimization and Control · Mathematics 2017-04-20 Alessandro Falsone , Kostas Margellos , Simone Garatti , Maria Prandini

Reinforcement learning algorithms typically rely on the assumption that the environment dynamics and value function can be expressed in terms of a Markovian state representation. However, when state information is only partially observable,…

In important applications involving multi-task networks with multiple objectives, agents in the network need to decide between these multiple objectives and reach an agreement about which single objective to follow for the network. In this…

Optimization and Control · Mathematics 2018-12-27 Sahar Khawatmi , Abdelhak M. Zoubir , Ali H. Sayed

Feature propagation in Deep Neural Networks (DNNs) can be associated to nonlinear discrete dynamical systems. The novelty, in this paper, lies in letting the discretization parameter (time step-size) vary from layer to layer, which needs to…

Optimization and Control · Mathematics 2022-04-20 Harbir Antil , Hugo Díaz , Evelyn Herberg

This paper presents a new approach to distributed linear filtering and prediction. The problem under consideration consists of a random dynamical system observed by a multi-agent network of sensors where the network is sparse. Inspired by…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Subhro Das

Distributed stochastic non-convex optimization problems have recently received attention due to the growing interest of signal processing, computer vision, and natural language processing communities in applications deployed over…

Systems and Control · Electrical Eng. & Systems 2024-10-14 Yiyue Chen , Abolfazl Hashemi , Haris Vikalo

This paper studies a distributed algorithm for constrained consensus optimization that is obtained by fusing the Arrow-Hurwicz-Uzawa primal-dual gradient method for centralized constrained optimization and the Wang-Elia method for…

Optimization and Control · Mathematics 2025-03-11 Xiaoxing Ren , Michelangelo Bin , Ivano Notarnicola , Thomas Parisini

This paper proposes a novel distributed optimization framework that addresses time-varying optimization problems without requiring explicit derivative information of the objective functions. Traditional distributed methods often rely on…

Optimization and Control · Mathematics 2025-09-29 Xuebin Li , Xuefei Yang , Emilia Fridman , Mamadou Diagne , Jiebao Sun

This paper develops a continuous-time primal-dual accelerated method with an increasing damping coefficient for a class of convex optimization problems with affine equality constraints. This paper analyzes critical values for parameters in…

Optimization and Control · Mathematics 2022-02-16 Xianlin Zeng , Jinlong Lei , Jie Chen

Classical optimization theory deals with fixed, time-invariant objective functions. However, time-varying optimization has emerged as an important subject for decision-making in dynamic environments. In this work, we study the problem of…

Machine Learning · Computer Science 2025-10-16 Muhammad Faraz Ul Abrar , Nicolò Michelusi , Erik G. Larsson

This paper studies a constrained optimization problem over networked systems with an undirected and connected communication topology. The algorithm proposed in this work utilizes singular perturbation, dynamic average consensus, and saddle…

Optimization and Control · Mathematics 2017-10-24 Phuong Huu Hoang , Hyo-Sung Ahn

We consider a distributed estimation method in a setting with heterogeneous streams of correlated data distributed across nodes in a network. In the considered approach, linear models are estimated locally (i.e., with only local data)…

Machine Learning · Computer Science 2021-02-11 Lingzhou Hong , Alfredo Garcia , Ceyhun Eksin

In this paper we present a novel derivation for an existing node-based algorithm for distributed optimisation termed the primal-dual method of multipliers (PDMM). In contrast to its initial derivation, in this work monotone operator theory…

Optimization and Control · Mathematics 2017-11-07 Thomas Sherson , Richard Heusdens , W. Bastiaan Kleijn

Temporal difference (TD) learning is a widely used method to evaluate policies in reinforcement learning. While many TD learning methods have been developed in recent years, little attention has been paid to preserving privacy and most of…

Machine Learning · Computer Science 2022-01-26 Canzhe Zhao , Yanjie Ze , Jing Dong , Baoxiang Wang , Shuai Li

In this paper we consider the problem of obtaining sharp bounds for the performance of temporal difference (TD) methods with linear function approximation for policy evaluation in discounted Markov decision processes. We show that a simple…

Machine Learning · Statistics 2024-06-18 Sergey Samsonov , Daniil Tiapkin , Alexey Naumov , Eric Moulines

We study policy evaluation problems in multi-task reinforcement learning (RL) under a low-rank representation setting. In this setting, we are given $N$ learning tasks where the corresponding value function of these tasks lie in an…

Machine Learning · Computer Science 2025-03-05 Yitao Bai , Sihan Zeng , Justin Romberg , Thinh T. Doan

In this paper, we study the distributionally robust joint chance constrained Markov decision process. {Utilizing the logarithmic transformation technique,} we derive its deterministic reformulation with bi-convex terms under the…

Optimization and Control · Mathematics 2024-01-03 Tian Xia , Jia Liu , Zhiping Chen

Distributed algorithms provide flexibility over centralized algorithms for resource allocation problems, e.g., cyber-physical systems. However, the distributed nature of these algorithms often makes the systems susceptible to…

Optimization and Control · Mathematics 2019-09-11 Cesar A. Uribe , Hoi-To Wai , Mahnoosh Alizadeh