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This paper studies an online learning problem that seeks optimal testing policies for a stream of subjects, each of whom can be evaluated through a sequence of candidate tests drawn from a common pool. We refer to this problem as the Online…

机器学习 · 计算机科学 2025-09-05 Qiyuan Chen , Raed Al Kontar

We investigate online Markov Decision Processes (MDPs) with adversarially changing loss functions and known transitions. We choose dynamic regret as the performance measure, defined as the performance difference between the learner and any…

机器学习 · 计算机科学 2022-08-29 Peng Zhao , Long-Fei Li , Zhi-Hua Zhou

We consider online reinforcement learning (RL) in episodic Markov decision processes (MDPs) under the linear $q^\pi$-realizability assumption, where it is assumed that the action-values of all policies can be expressed as linear functions…

机器学习 · 计算机科学 2023-12-21 Gellért Weisz , András György , Csaba Szepesvári

The online Markov decision process (MDP) is a generalization of the classical Markov decision process that incorporates changing reward functions. In this paper, we propose practical online MDP algorithms with policy iteration and…

机器学习 · 计算机科学 2015-10-16 Yao Ma , Hao Zhang , Masashi Sugiyama

We study the problem of reinforcement learning in infinite-horizon discounted linear Markov decision processes (MDPs), and propose the first computationally efficient algorithm achieving rate-optimal regret guarantees in this setting. Our…

机器学习 · 计算机科学 2026-03-16 Antoine Moulin , Gergely Neu , Luca Viano

We study the reinforcement learning (RL) problem in a constrained Markov decision process (CMDP), where an agent explores the environment to maximize the expected cumulative reward while satisfying a single constraint on the expected total…

We study reinforcement learning in MDPs whose transition function is stochastic at most steps but may behave adversarially at a fixed subset of $\Lambda$ steps per episode. This model captures environments that are stable except at a few…

机器学习 · 计算机科学 2026-02-11 Ofir Schlisselberg , Tal Lancewicki , Yishay Mansour

In online learning problems, exploiting low variance plays an important role in obtaining tight performance guarantees yet is challenging because variances are often not known a priori. Recently, considerable progress has been made by Zhang…

机器学习 · 统计学 2023-02-07 Yeoneung Kim , Insoon Yang , Kwang-Sung Jun

Modern tasks in reinforcement learning have large state and action spaces. To deal with them efficiently, one often uses predefined feature mapping to represent states and actions in a low-dimensional space. In this paper, we study…

机器学习 · 计算机科学 2021-02-24 Dongruo Zhou , Jiafan He , Quanquan Gu

We consider learning in an adversarial Markov Decision Process (MDP) where the loss functions can change arbitrarily over $K$ episodes and the state space can be arbitrarily large. We assume that the Q-function of any policy is linear in…

机器学习 · 计算机科学 2023-06-05 Yan Dai , Haipeng Luo , Chen-Yu Wei , Julian Zimmert

We study online learning in episodic constrained Markov decision processes (CMDPs), where the learner aims at collecting as much reward as possible over the episodes, while satisfying some long-term constraints during the learning process.…

Many real-world applications, such as those in medical domains, recommendation systems, etc, can be formulated as large state space reinforcement learning problems with only a small budget of the number of policy changes, i.e., low…

机器学习 · 计算机科学 2021-01-05 Minbo Gao , Tianle Xie , Simon S. Du , Lin F. Yang

We consider Markov Decision Processes (MDPs) where the rewards are unknown and may change in an adversarial manner. We provide an algorithm that achieves state-of-the-art regret bound of $O( \sqrt{\tau (\ln|S|+\ln|A|)T}\ln(T))$, where $S$…

机器学习 · 计算机科学 2019-05-28 Adrian Rivera Cardoso , He Wang , Huan Xu

We study episodic reinforcement learning in non-stationary linear (a.k.a. low-rank) Markov Decision Processes (MDPs), i.e, both the reward and transition kernel are linear with respect to a given feature map and are allowed to evolve either…

机器学习 · 计算机科学 2021-12-28 Ahmed Touati , Pascal Vincent

Reinforcement learning with outcome-based feedback faces a fundamental challenge: when rewards are only observed at trajectory endpoints, how do we assign credit to the right actions? This paper provides the first comprehensive analysis of…

机器学习 · 计算机科学 2025-07-25 Fan Chen , Zeyu Jia , Alexander Rakhlin , Tengyang Xie

We study online learning in constrained Markov decision processes (CMDPs) with adversarial losses and stochastic hard constraints, under bandit feedback. We consider three scenarios. In the first one, we address general CMDPs, where we…

机器学习 · 计算机科学 2025-02-10 Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

In Apprenticeship Learning (AL), we are given a Markov Decision Process (MDP) without access to the cost function. Instead, we observe trajectories sampled by an expert that acts according to some policy. The goal is to find a policy that…

机器学习 · 计算机科学 2021-12-30 Lior Shani , Tom Zahavy , Shie Mannor

We study reinforcement learning with linear function approximation, unknown transition, and adversarial losses in the bandit feedback setting. Specifically, we focus on linear mixture MDPs whose transition kernel is a linear mixture model.…

机器学习 · 计算机科学 2024-03-08 Long-Fei Li , Peng Zhao , Zhi-Hua Zhou

We consider the problem of learning to optimize an unknown Markov decision process (MDP). We show that, if the MDP can be parameterized within some known function class, we can obtain regret bounds that scale with the dimensionality, rather…

机器学习 · 统计学 2014-11-04 Ian Osband , Benjamin Van Roy

We consider Markov Decision Processes (MDPs) with deterministic transitions and study the problem of regret minimization, which is central to the analysis and design of optimal learning algorithms. We present logarithmic problem-specific…

机器学习 · 计算机科学 2021-06-29 Damianos Tranos , Alexandre Proutiere