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This paper introduces a novel payoff-based learning scheme for distributed optimization in repeatedly-played strategic-form games. Standard reinforcement-based learning exhibits several limitations with respect to their asymptotic…

Computer Science and Game Theory · Computer Science 2018-03-08 Georgios C. Chasparis

We consider reinforcement learning in changing Markov Decision Processes where both the state-transition probabilities and the reward functions may vary over time. For this problem setting, we propose an algorithm using a sliding window…

Machine Learning · Computer Science 2018-05-28 Pratik Gajane , Ronald Ortner , Peter Auer

Maximization of the entropy rate is an important issue to design diffusion processes aiming at a well-mixed state. We demonstrate that it is possible to construct maximal-entropy random walks with only local information on the graph…

Statistical Mechanics · Physics 2011-03-14 Roberta Sinatra , Jesús Gómez-Gardeñes , Renaud Lambiotte , Vincenzo Nicosia , Vito Latora

We introduce the framework of performative reinforcement learning where the policy chosen by the learner affects the underlying reward and transition dynamics of the environment. Following the recent literature on performative…

Machine Learning · Computer Science 2023-06-08 Debmalya Mandal , Stelios Triantafyllou , Goran Radanovic

We consider a class of strongly edge-reinforced random walks, where the corresponding reinforcement weight function is nondecreasing. It is known, from Limic and Tarr\`{e}s [Ann. Probab. (2007), to appear], that the attracting edge emerges…

Probability · Mathematics 2016-09-07 Codina Cotar , Vlada Limic

Starting from a heuristic learning scheme for N-person games, we derive a new class of continuous-time learning dynamics consisting of a replicator-like drift adjusted by a penalty term that renders the boundary of the game's strategy space…

Optimization and Control · Mathematics 2014-04-08 Pierre Coucheney , Bruno Gaujal , Panayotis Mertikopoulos

We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

Probability · Mathematics 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

We consider the problem of estimating the underlying graph associated with a Markov random field, with the added twist that the decoding algorithm can iteratively choose which subsets of nodes to sample based on the previous samples,…

Information Theory · Computer Science 2017-02-08 Jonathan Scarlett , Volkan Cevher

We consider a problem of learning the reward and policy from expert examples under unknown dynamics. Our proposed method builds on the framework of generative adversarial networks and introduces the empowerment-regularized maximum-entropy…

Machine Learning · Computer Science 2019-02-26 Ahmed H. Qureshi , Byron Boots , Michael C. Yip

Social learning strategies enable agents to infer the underlying true state of nature in a distributed manner by receiving private environmental signals and exchanging beliefs with their neighbors. Previous studies have extensively focused…

Multiagent Systems · Computer Science 2025-03-18 Dongyan Sui , Haitian Zheng , Siyang Leng , Stefan Vlaski

We propose a reinforcement learning (RL) framework under a broad class of risk objectives, characterized by convex scoring functions. This class covers many common risk measures, such as variance, Expected Shortfall, entropic Value-at-Risk,…

Mathematical Finance · Quantitative Finance 2025-05-16 Shanyu Han , Yang Liu , Xiang Yu

Reinforcement Learning (RL) serves as a versatile framework for sequential decision-making, finding applications across diverse domains such as robotics, autonomous driving, recommendation systems, supply chain optimization, biology,…

Machine Learning · Computer Science 2024-08-26 Vaneet Aggarwal , Washim Uddin Mondal , Qinbo Bai

The application of learning-based control methods in robotics presents significant challenges. One is that model-free reinforcement learning algorithms use observation data with low sample efficiency. To address this challenge, a prevalent…

Machine Learning · Computer Science 2024-07-19 Andrey Gorodetskiy , Konstantin Mironov , Aleksandr Panov

This paper investigates the stability and convergence properties of asynchronous stochastic approximation (SA) algorithms, with a focus on extensions relevant to average-reward reinforcement learning. We first extend a stability proof…

Machine Learning · Computer Science 2025-12-10 Huizhen Yu , Yi Wan , Richard S. Sutton

Reinforcement learning is widely used in applications where one needs to perform sequential decisions while interacting with the environment. The problem becomes more challenging when the decision requirement includes satisfying some safety…

Machine Learning · Computer Science 2022-07-15 Qinbo Bai , Amrit Singh Bedi , Mridul Agarwal , Alec Koppel , Vaneet Aggarwal

In standard reinforcement learning (RL), a learning agent seeks to optimize the overall reward. However, many key aspects of a desired behavior are more naturally expressed as constraints. For instance, the designer may want to limit the…

Machine Learning · Computer Science 2021-01-29 Sobhan Miryoosefi , Kianté Brantley , Hal Daumé , Miroslav Dudik , Robert Schapire

The tendency of repeating past choices more often than expected from the history of outcomes has been repeatedly empirically observed in reinforcement learning experiments. It can be explained by at least two computational processes:…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Isabelle Hoxha , Leo Sperber , Stefano Palminteri

We consider a constrained Markov Decision Problem (CMDP) where the goal of an agent is to maximize the expected discounted sum of rewards over an infinite horizon while ensuring that the expected discounted sum of costs exceeds a certain…

Machine Learning · Computer Science 2024-11-01 Washim Uddin Mondal , Vaneet Aggarwal

We extend a result of Lyons (2016) from fractional tiling of finite graphs to a version for infinite random graphs. The most general result is as follows. Let $\bf P$ be a unimodular probability measure on rooted networks $(G, o)$ with…

Probability · Mathematics 2019-01-04 Russell Lyons

The development of reinforced learning methods has extended application to many areas including algorithmic trading. In this paper trading on the stock exchange is interpreted into a game with a Markov property consisting of states,…

Trading and Market Microstructure · Quantitative Finance 2020-02-28 Evgeny Ponomarev , Ivan Oseledets , Andrzej Cichocki
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