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Using an approximation by a set-valued dynamical system, this paper studies a class of non Markovian and non homogeneous stochastic processes on a finite state space. It provides an unified approach to simulated annealing type processes. It…

Probability · Mathematics 2008-12-18 Michel Benaim , Olivier Raimond

We consider a class of infinite-state stochastic games generated by stateless pushdown automata (or, equivalently, 1-exit recursive state machines), where the winning objective is specified by a regular set of target configurations and a…

Computer Science and Game Theory · Computer Science 2011-05-11 Tomáš Brázdil , Václav Brožek , Antonín Kučera , Jan Obdržálek

We propose an end-to-end differentiable training paradigm for stable training of a rationalized transformer classifier. Our approach results in a single model that simultaneously classifies a sample and scores input tokens based on their…

Computation and Language · Computer Science 2025-08-18 Marc Brinner , Sina Zarrieß

We introduce a two-player model of reinforcement learning with memory. Past actions of an iterated game are stored in a memory and used to determine player's next action. To examine the behaviour of the model some approximate methods are…

Statistical Mechanics · Physics 2009-11-13 Adam Lipowski , Krzysztof Gontarek , Marcel Ausloos

Two-player quantitative zero-sum games provide a natural framework to synthesize controllers with performance guarantees for reactive systems within an uncontrollable environment. Classical settings include mean-payoff games, where the…

Logic in Computer Science · Computer Science 2016-07-11 Patricia Bouyer , Nicolas Markey , Mickael Randour , Kim G. Larsen , Simon Laursen

We introduce a new approach for computing optimal equilibria via learning in games. It applies to extensive-form settings with any number of players, including mechanism design, information design, and solution concepts such as correlated,…

We tackle a fundamental problem in empirical game-theoretic analysis (EGTA), that of learning equilibria of simulation-based games. Such games cannot be described in analytical form; instead, a black-box simulator can be queried to obtain…

Computer Science and Game Theory · Computer Science 2019-06-03 Enrique Areyan Viqueira , Cyrus Cousins , Eli Upfal , Amy Greenwald

In this tutorial, we provide an introduction to machine learning methods for finding Nash equilibria in games with large number of agents. These types of problems are important for the operations research community because of their…

Optimization and Control · Mathematics 2024-06-18 Gokce Dayanikli , Mathieu Lauriere

We introduce a multi-agent meta-modeling game to generate data, knowledge, and models that make predictions on constitutive responses of elasto-plastic materials. We introduce a new concept from graph theory where a modeler agent is tasked…

Machine Learning · Computer Science 2020-04-15 Kun Wang , WaiChing Sun , Qiang Du

In this paper, we consider the problem of controller design using approximately bisimilar abstractions with an emphasis on safety and reachability specifications. We propose abstraction-based approaches to solve both classes of problems. We…

Systems and Control · Computer Science 2011-06-17 Antoine Girard

Graphon games have been introduced to study games with many players who interact through a weighted graph of interaction. By passing to the limit, a game with a continuum of players is obtained, in which the interactions are through a…

Optimization and Control · Mathematics 2024-04-02 Mathieu Laurière , Ludovic Tangpi , Xuchen Zhou

In this paper we propose a framework towards achieving two intertwined objectives: (i) equipping reinforcement learning with active exploration and deliberate information gathering, such that it regulates state and parameter uncertainties…

Machine Learning · Computer Science 2024-09-10 Mohammad S. Ramadan , Mahmoud A. Hayajnh , Michael T. Tolley , Kyriakos G. Vamvoudakis

We present a new notion of solution for mean field games master equations. This notion allows us to work with solutions which are merely continuous. We prove first results of uniqueness and stability for such solutions. It turns out that…

Analysis of PDEs · Mathematics 2020-07-24 Charles Bertucci

Autonomous driving is one of the most recent topics of interest which is aimed at replicating human driving behavior keeping in mind the safety issues. We approach the problem of learning synthetic driving using generative neural networks.…

Computer Vision and Pattern Recognition · Computer Science 2016-11-29 Arna Ghosh , Biswarup Bhattacharya , Somnath Basu Roy Chowdhury

Reinforcement learning (RL) has recently achieved tremendous successes in many artificial intelligence applications. Many of the forefront applications of RL involve multiple agents, e.g., playing chess and Go games, autonomous driving, and…

Computer Science and Game Theory · Computer Science 2021-11-24 Asuman Ozdaglar , Muhammed O. Sayin , Kaiqing Zhang

We consider turn-based game arenas for which we investigate uniformity properties of strategies. These properties involve bundles of plays, that arise from some semantical motive. Typically, we can represent constraints on allowed…

Computer Science and Game Theory · Computer Science 2012-12-04 Bastien Maubert , Sophie Pinchinat

Reinforcement learning algorithms describe how an agent can learn an optimal action policy in a sequential decision process, through repeated experience. In a given environment, the agent policy provides him some running and terminal…

Theoretical Economics · Economics 2020-03-24 Arthur Charpentier , Romuald Elie , Carl Remlinger

We introduce a new setting where a population of agents, each modelled by a finite-state system, are controlled uniformly: the controller applies the same action to every agent. The framework is largely inspired by the control of a…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Nathalie Bertrand , Miheer Dewaskar , Blaise Genest , Hugo Gimbert , Adwait Amit Godbole

We consider discrete-time plants that interact with their controllers via fixed discrete alphabets. For this class of systems, and in the absence of exogenous inputs, we propose a general, conceptual procedure for constructing a sequence of…

Optimization and Control · Mathematics 2014-02-18 Danielle C. Tarraf

Continual learning~(CL) is a field concerned with learning a series of inter-related task with the tasks typically defined in the sense of either regression or classification. In recent years, CL has been studied extensively when these…

Machine Learning · Computer Science 2023-11-07 Krishnan Raghavan , Prasanna Balaprakash
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