English
Related papers

Related papers: Local Stochastic Approximation: A Unified View of …

200 papers

Two-time-scale stochastic approximation is a popular iterative method for finding the solution of a system of two equations. Such methods have found broad applications in many areas, especially in machine learning and reinforcement…

Optimization and Control · Mathematics 2019-12-24 Thinh T. Doan , Justin Romberg

In this paper, a distributed stochastic approximation algorithm is studied. Applications of such algorithms include decentralized estimation, optimization, control or computing. The algorithm consists in two steps: a local step, where each…

Optimization and Control · Mathematics 2013-12-03 Pascal Bianchi , Gersende Fort , Walid Hachem

We introduce a class of networked Markov potential games in which agents are associated with nodes in a network. Each agent has its own local potential function, and the reward of each agent depends only on the states and actions of the…

Machine Learning · Computer Science 2023-07-11 Zhaoyi Zhou , Zaiwei Chen , Yiheng Lin , Adam Wierman

In this paper, we study the problem of reinforcement learning in multi-agent systems where communication among agents is limited. We develop a decentralized actor-critic learning framework in which each agent performs several local updates…

Machine Learning · Computer Science 2025-10-23 Xiaoxing Ren , Nicola Bastianello , Thomas Parisini , Andreas A. Malikopoulos

This paper considers a novel multi-agent linear stochastic approximation algorithm driven by Markovian noise and general consensus-type interaction, in which each agent evolves according to its local stochastic approximation process which…

Machine Learning · Computer Science 2023-10-02 Yixuan Lin , Vijay Gupta , Ji Liu

The non-smooth finite-sum minimization is a fundamental problem in machine learning. This paper develops a distributed stochastic proximal-gradient algorithm with random reshuffling to solve the finite-sum minimization over time-varying…

Optimization and Control · Mathematics 2022-10-11 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen , Lihua Xie

This work develops effective distributed strategies for the solution of constrained multi-agent stochastic optimization problems with coupled parameters across the agents. In this formulation, each agent is influenced by only a subset of…

Optimization and Control · Mathematics 2019-03-15 Sulaiman A. Alghunaim , Ali H. Sayed

In this paper, we analyze the convergence of a distributed Robbins-Monro algorithm for both constrained and unconstrained optimization in multi-agent systems. The algorithm searches for local minima of a (nonconvex) objective function which…

Information Theory · Computer Science 2011-04-20 Pascal Bianchi , Jérémie Jakubowicz

This paper studies linear stochastic approximation (SA) algorithms and their application to multi-agent systems in engineering and sociology. As main contribution, we provide necessary and sufficient conditions for convergence of linear SA…

Optimization and Control · Mathematics 2018-09-07 Ge Chen , Xiaoming Duan , Wenjun Mei , Francesco Bullo

Federated learning is a paradigm of distributed machine learning in which multiple clients coordinate with a central server to learn a model, without sharing their own training data. Standard federated optimization methods such as Federated…

Machine Learning · Computer Science 2024-05-15 Sohom Mukherjee , Nicolas Loizou , Sebastian U. Stich

We consider the problem of \emph{fully decentralized} multi-agent reinforcement learning (MARL), where the agents are located at the nodes of a time-varying communication network. Specifically, we assume that the reward functions of the…

Machine Learning · Computer Science 2018-02-28 Kaiqing Zhang , Zhuoran Yang , Han Liu , Tong Zhang , Tamer Başar

In this work, multiplicative stochasticity is applied to the learning rate of stochastic optimization algorithms, giving rise to stochastic learning-rate schemes. In-expectation theoretical convergence results of Stochastic Gradient Descent…

Optimization and Control · Mathematics 2022-03-22 Theodoros Mamalis , Dusan Stipanovic , Petros Voulgaris

We provide performance guarantees for a variant of simulation-based policy iteration for controlling Markov decision processes that involves the use of stochastic approximation algorithms along with state-of-the-art techniques that are…

Machine Learning · Computer Science 2022-10-17 Anna Winnicki , R. Srikant

Replication of experimental results has been a challenge faced by many scientific disciplines, including the field of machine learning. Recent work on the theory of machine learning has formalized replicability as the demand that an…

Machine Learning · Computer Science 2026-04-15 Eric Eaton , Marcel Hussing , Michael Kearns , Aaron Roth , Sikata Bela Sengupta , Jessica Sorrell

We study the policy evaluation problem in multi-agent reinforcement learning. In this problem, a group of agents works cooperatively to evaluate the value function for the global discounted accumulative reward problem, which is composed of…

Optimization and Control · Mathematics 2019-06-04 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

We investigate reinforcement learning in the setting of Markov decision processes for a large number of exchangeable agents interacting in a mean field manner. Applications include, for example, the control of a large number of robots…

Optimization and Control · Mathematics 2025-04-30 René Carmona , Mathieu Laurière , Zongjun Tan

We study the policy evaluation problem in multi-agent reinforcement learning where a group of agents, with jointly observed states and private local actions and rewards, collaborate to learn the value function of a given policy via local…

Optimization and Control · Mathematics 2021-11-08 Dongsheng Ding , Xiaohan Wei , Zhuoran Yang , Zhaoran Wang , Mihailo R. Jovanović

Imitation learning is a data-driven approach to acquiring skills that relies on expert demonstrations to learn a policy that maps observations to actions. When performing demonstrations, experts are not always consistent and might…

Machine Learning · Computer Science 2021-01-05 Sagar Gubbi Venkatesh , Nihesh Rathod , Shishir Kolathaya , Bharadwaj Amrutur

We study reinforcement learning methods with linear function approximation under non-Markov state and cost processes. We first consider the policy evaluation method and show that the algorithm converges under suitable ergodicity conditions…

Machine Learning · Computer Science 2026-01-05 Ali Devran Kara

Reinforcement Learning has emerged as a promising framework for developing adaptive and data-driven strategies, enabling market makers to optimize decision-making policies based on interactions with the limit order book environment. This…

Trading and Market Microstructure · Quantitative Finance 2026-02-17 Rafael Zimmer , Oswaldo Luiz do Valle Costa