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We study the problem of exploration in Reinforcement Learning and present a novel model-free solution. We adopt an information-theoretical viewpoint and start from the instance-specific lower bound of the number of samples that have to be…

机器学习 · 计算机科学 2024-07-02 Alessio Russo , Alexandre Proutiere

During initial iterations of training in most Reinforcement Learning (RL) algorithms, agents perform a significant number of random exploratory steps. In the real world, this can limit the practicality of these algorithms as it can lead to…

机器学习 · 计算机科学 2022-10-17 Ashish Kumar Jayant , Shalabh Bhatnagar

We consider a general infinite horizon Heterogeneous Restless multi-armed Bandit (RMAB). Heterogeneity is a fundamental problem for many real-world systems largely because it resists many concentration arguments. In this paper, we assume…

最优化与控制 · 数学 2025-11-12 Dheeraj Narasimha , Nicolas Gast

We propose a new model, independent linear Markov game, for multi-agent reinforcement learning with a large state space and a large number of agents. This is a class of Markov games with independent linear function approximation, where each…

机器学习 · 计算机科学 2023-06-23 Qiwen Cui , Kaiqing Zhang , Simon S. Du

We study an optimal control problem arising from a generalization of rock-paper-scissors in which the number of strategies may be selected from any positive odd number greater than 1 and in which the payoff to the winner is controlled by a…

最优化与控制 · 数学 2020-12-01 Christopher Griffin , James Fan

Reinforcement learning (RL) in large environments often suffers from severe computational bottlenecks, as conventional regret minimization algorithms require repeated, costly calls to planning and statistical estimation oracles. While…

机器学习 · 计算机科学 2026-05-04 Haichen Hu , Jian Qian , David Simchi-Levi

Reinforcement learning for control over continuous spaces typically uses high-entropy stochastic policies, such as Gaussian distributions, for local exploration and estimating policy gradient to optimize performance. Many robotic control…

机器学习 · 计算机科学 2024-04-03 Ya-Chien Chang , Sicun Gao

In this paper, we study the problem of multiple stochastic agents interacting in a dynamic game scenario with continuous state and action spaces. We define a new notion of stochastic Nash equilibrium for boundedly rational agents, which we…

最优化与控制 · 数学 2021-10-05 Negar Mehr , Mingyu Wang , Mac Schwager

Nonzero-sum stochastic differential games with impulse controls offer a realistic and far-reaching modelling framework for applications within finance, energy markets, and other areas, but the difficulty in solving such problems has…

数值分析 · 数学 2020-06-29 Diego Zabaljauregui

The problem of synthesizing stochastic explicit model predictive control policies is known to be quickly intractable even for systems of modest complexity when using classical control-theoretic methods. To address this challenge, we present…

机器学习 · 计算机科学 2022-05-24 Ján Drgoňa , Sayak Mukherjee , Aaron Tuor , Mahantesh Halappanavar , Draguna Vrabie

We show that computing approximate stationary Markov coarse correlated equilibria (CCE) in general-sum stochastic games is computationally intractable, even when there are two players, the game is turn-based, the discount factor is an…

机器学习 · 计算机科学 2022-04-11 Constantinos Daskalakis , Noah Golowich , Kaiqing Zhang

Linear Temporal Logic (LTL) is widely used to specify high-level objectives for system policies, and it is highly desirable for autonomous systems to learn the optimal policy with respect to such specifications. However, learning the…

机器学习 · 计算机科学 2023-10-26 Daqian Shao , Marta Kwiatkowska

Reinforcement learning (RL) has made significant strides in various complex domains. However, identifying an effective policy via RL often necessitates extensive exploration. Imitation learning aims to mitigate this issue by using expert…

机器学习 · 计算机科学 2025-08-12 Xuefeng Liu , Takuma Yoneda , Chaoqi Wang , Matthew R. Walter , Yuxin Chen

Policy Space Response Oracle methods (PSRO) provide a general solution to learn Nash equilibrium in two-player zero-sum games but suffer from two drawbacks: (1) the computation inefficiency due to the need for consistent meta-game…

计算机科学与博弈论 · 计算机科学 2022-06-02 Ming Zhou , Jingxiao Chen , Ying Wen , Weinan Zhang , Yaodong Yang , Yong Yu , Jun Wang

We study test-time scaling, where a model improves its answer through multi-round self-reflection at inference. We introduce In-Context Policy Optimization (ICPO), in which an agent optimizes its response in context using self-assessed or…

In this work, we adapt a training approach inspired by the original AlphaGo system to play the imperfect information game of Reconnaissance Blind Chess. Using only the observations instead of a full description of the game state, we first…

人工智能 · 计算机科学 2022-08-04 Timo Bertram , Johannes Fürnkranz , Martin Müller

We present a framework for computing approximate mixed-strategy Nash equilibria of continuous-action games. It is a modification of the traditional double oracle algorithm, extended to multiple players and continuous action spaces. Unlike…

计算机科学与博弈论 · 计算机科学 2024-06-14 Carlos Martin , Tuomas Sandholm

Leveraging planning during learning and decision-making is central to the long-term development of intelligent agents. Recent works have successfully combined tree-based search methods and self-play learning mechanisms to this end. However,…

人工智能 · 计算机科学 2024-11-01 Matthew V Macfarlane , Edan Toledo , Donal Byrne , Paul Duckworth , Alexandre Laterre

Personalised interactive systems such as recommender systems require selecting relevant items from massive catalogs dependent on context. Reward-driven offline optimisation of these systems can be achieved by a relaxation of the discrete…

信息检索 · 计算机科学 2023-05-30 Otmane Sakhi , David Rohde , Alexandre Gilotte

Inverse optimal control (IOC) is a promising paradigm for learning and mimicking optimal control strategies from capable demonstrators, or gaining a deeper understanding of their intentions, by estimating an unknown objective function from…

系统与控制 · 电气工程与系统科学 2025-08-28 Rahel Rickenbach , Amon Lahr , Melanie N. Zeilinger