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We present an algorithm based on the \emph{Optimism in the Face of Uncertainty} (OFU) principle which is able to learn Reinforcement Learning (RL) modeled by Markov decision process (MDP) with finite state-action space efficiently. By…

机器学习 · 计算机科学 2020-01-01 Zihan Zhang , Xiangyang Ji

This paper studies a recent proposal to use randomized value functions to drive exploration in reinforcement learning. These randomized value functions are generated by injecting random noise into the training data, making the approach…

机器学习 · 计算机科学 2024-09-23 Daniel Russo

We study how we can adapt a predictor to a non-stationary environment with advises from multiple experts. We study the problem under complete feedback when the best expert changes over time from a decision theoretic point of view. Proposed…

机器学习 · 计算机科学 2017-08-08 Vishnu Raj , Sheetal Kalyani

We study the reinforcement learning problem in the setting of finite-horizon episodic Markov Decision Processes (MDPs) with $S$ states, $A$ actions, and episode length $H$. We propose a model-free algorithm UCB-Advantage and prove that it…

机器学习 · 计算机科学 2020-06-09 Zihan Zhang , Yuan Zhou , Xiangyang Ji

We study algorithms for online linear optimization in Hilbert spaces, focusing on the case where the player is unconstrained. We develop a novel characterization of a large class of minimax algorithms, recovering, and even improving,…

机器学习 · 计算机科学 2014-05-22 H. Brendan McMahan , Francesco Orabona

This is a brief technical note to clarify the state of lower bounds on regret for reinforcement learning. In particular, this paper: - Reproduces a lower bound on regret for reinforcement learning, similar to the result of Theorem 5 in the…

机器学习 · 统计学 2016-08-10 Ian Osband , Benjamin Van Roy

We develop a model selection approach to tackle reinforcement learning with adversarial corruption in both transition and reward. For finite-horizon tabular MDPs, without prior knowledge on the total amount of corruption, our algorithm…

机器学习 · 计算机科学 2024-12-31 Chen-Yu Wei , Christoph Dann , Julian Zimmert

The infinite horizon setting is widely adopted for problems of reinforcement learning (RL). These invariably result in stationary policies that are optimal. In many situations, finite horizon control problems are of interest and for such…

机器学习 · 计算机科学 2025-03-21 Soumyajit Guin , Shalabh Bhatnagar

Adaptively controlling and minimizing regret in unknown dynamical systems while controlling the growth of the system state is crucial in real-world applications. In this work, we study the problem of stabilization and regret minimization of…

系统与控制 · 电气工程与系统科学 2022-02-10 Jafar Abbaszadeh Chekan , Kamyar Azizzadenesheli , Cedric Langbort

In this paper, we consider an infinite horizon average reward Markov Decision Process (MDP). Distinguishing itself from existing works within this context, our approach harnesses the power of the general policy gradient-based algorithm,…

机器学习 · 计算机科学 2024-02-06 Qinbo Bai , Washim Uddin Mondal , Vaneet Aggarwal

We study the problem of full-information online learning in the "bounded recall" setting popular in the study of repeated games. An online learning algorithm $\mathcal{A}$ is $M$-$\textit{bounded-recall}$ if its output at time $t$ can be…

机器学习 · 计算机科学 2024-06-04 Jon Schneider , Kiran Vodrahalli

We consider the problem of tabular infinite horizon concave utility reinforcement learning (CURL) with convex constraints. For this, we propose a model-based learning algorithm that also achieves zero constraint violations. Assuming that…

机器学习 · 计算机科学 2023-11-20 Mridul Agarwal , Qinbo Bai , Vaneet Aggarwal

We study reinforcement learning with multinomial logistic (MNL) function approximation where the underlying transition probability kernel of the Markov decision processes (MDPs) is parametrized by an unknown transition core with features of…

机器学习 · 统计学 2024-11-01 Wooseong Cho , Taehyun Hwang , Joongkyu Lee , Min-hwan Oh

We study online learning problems in which a decision maker has to take a sequence of decisions subject to $m$ long-term constraints. The goal of the decision maker is to maximize their total reward, while at the same time achieving small…

机器学习 · 计算机科学 2022-09-16 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Giulia Romano , Nicola Gatti

In this paper, we investigate the problem of \textit{episodic reinforcement learning} with quantum oracles for state evolution. To this end, we propose an \textit{Upper Confidence Bound} (UCB) based quantum algorithmic framework to…

机器学习 · 计算机科学 2023-02-20 Bhargav Ganguly , Yulian Wu , Di Wang , Vaneet Aggarwal

In this paper, we generalize the problem of single-index model to the context of continual learning in which a learner is challenged with a sequence of tasks one by one and the dataset of each task is revealed in an online fashion. We…

机器学习 · 统计学 2022-08-26 The Tien Mai

We consider the problem of learning the optimal policy for Markov decision processes with safety constraints. We formulate the problem in a reach-avoid setup. Our goal is to design online reinforcement learning algorithms that ensure safety…

机器学习 · 计算机科学 2026-01-21 Abhijit Mazumdar , Rafal Wisniewski , Manuela L. Bujorianu

This paper proposes a reinforcement learning (RL) algorithm for infinite horizon $\rm {H_{2}/H_{\infty}}$ problem in a class of stochastic discrete-time systems, rather than using a set of coupled generalized algebraic Riccati equations…

最优化与控制 · 数学 2023-11-28 Xiushan Jiang , Li Wang , Dongya Zhao , Ling Shi

Obtaining first-order regret bounds -- regret bounds scaling not as the worst-case but with some measure of the performance of the optimal policy on a given instance -- is a core question in sequential decision-making. While such bounds…

机器学习 · 计算机科学 2022-10-24 Andrew Wagenmaker , Yifang Chen , Max Simchowitz , Simon S. Du , Kevin Jamieson

We study the infinite-horizon average-reward reinforcement learning (RL) for continuous space Lipschitz MDPs in which an agent can play policies from a given set $\Phi$. The proposed algorithms efficiently explore the policy space by…

机器学习 · 计算机科学 2025-11-18 Avik Kar , Rahul Singh