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We study a new class of MDPs that employs multinomial logit (MNL) function approximation to ensure valid probability distributions over the state space. Despite its significant benefits, incorporating the non-linear function raises…

机器学习 · 计算机科学 2025-01-17 Long-Fei Li , Yu-Jie Zhang , Peng Zhao , Zhi-Hua Zhou

Non-stationary multi-armed bandits enable agents to adapt to changing environments by incorporating mechanisms to detect and respond to shifts in reward distributions, making them well-suited for dynamic settings. However, existing…

机器学习 · 计算机科学 2025-09-19 Shaoang Li , Jian Li

We consider un-discounted reinforcement learning (RL) in Markov decision processes (MDPs) under drifting non-stationarity, i.e., both the reward and state transition distributions are allowed to evolve over time, as long as their respective…

机器学习 · 计算机科学 2020-06-26 Wang Chi Cheung , David Simchi-Levi , Ruihao Zhu

Non-stationary parametric bandits have attracted much attention recently. There are three principled ways to deal with non-stationarity, including sliding-window, weighted, and restart strategies. As many non-stationary environments exhibit…

机器学习 · 计算机科学 2026-01-06 Jing Wang , Peng Zhao , Zhi-Hua Zhou

We propose a new regret minimization algorithm for episodic sparse linear Markov decision process (SMDP) where the state-transition distribution is a linear function of observed features. The only previously known algorithm for SMDP…

机器学习 · 统计学 2023-10-25 Wonyoung Kim , Garud Iyengar , Assaf Zeevi

We study episodic linear mixture MDPs with the unknown transition and adversarial rewards under full-information feedback, employing dynamic regret as the performance measure. We start with in-depth analyses of the strengths and limitations…

机器学习 · 计算机科学 2024-11-06 Long-Fei Li , Peng Zhao , Zhi-Hua Zhou

We study high-probability regret bounds for adversarial $K$-armed bandits with time-varying feedback graphs over $T$ rounds. For general strongly observable graphs, we develop an algorithm that achieves the optimal regret…

机器学习 · 计算机科学 2023-01-31 Haipeng Luo , Hanghang Tong , Mengxiao Zhang , Yuheng Zhang

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

Restless multi-armed bandits (RMAB) play a central role in modeling sequential decision making problems under an instantaneous activation constraint that at most B arms can be activated at any decision epoch. Each restless arm is endowed…

机器学习 · 计算机科学 2024-05-03 Guojun Xiong , Jian Li

We study lifelong reinforcement learning (RL) in a regret minimization setting of linear contextual Markov decision process (MDP), where the agent needs to learn a multi-task policy while solving a streaming sequence of tasks. We propose an…

机器学习 · 计算机科学 2022-06-02 Sanae Amani , Lin F. Yang , Ching-An Cheng

We present a new algorithm based on posterior sampling for learning in constrained Markov decision processes (CMDP) in the infinite-horizon undiscounted setting. The algorithm achieves near-optimal regret bounds while being advantageous…

机器学习 · 计算机科学 2023-09-28 Danil Provodin , Pratik Gajane , Mykola Pechenizkiy , Maurits Kaptein

Model-free Reinforcement Learning (RL) algorithms such as Q-learning [Watkins, Dayan 92] have been widely used in practice and can achieve human level performance in applications such as video games [Mnih et al. 15]. Recently, equipped with…

机器学习 · 计算机科学 2019-05-03 Zhao Song , Wen Sun

We consider regret minimization in low-rank MDPs with fixed transition and adversarial losses. Previous work has investigated this problem under either full-information loss feedback with unknown transitions (Zhao et al., 2024), or bandit…

机器学习 · 计算机科学 2024-11-12 Haolin Liu , Zakaria Mhammedi , Chen-Yu Wei , Julian Zimmert

Thompson Sampling is one of the most effective methods for contextual bandits and has been generalized to posterior sampling for certain MDP settings. However, existing posterior sampling methods for reinforcement learning are limited by…

机器学习 · 计算机科学 2022-08-24 Christoph Dann , Mehryar Mohri , Tong Zhang , Julian Zimmert

This paper studies representation learning for multi-task linear bandits and multi-task episodic RL with linear value function approximation. We first consider the setting where we play $M$ linear bandits with dimension $d$ concurrently,…

机器学习 · 计算机科学 2021-02-09 Jiachen Hu , Xiaoyu Chen , Chi Jin , Lihong Li , Liwei Wang

Reward-free reinforcement learning (RL) considers the setting where the agent does not have access to a reward function during exploration, but must propose a near-optimal policy for an arbitrary reward function revealed only after…

机器学习 · 计算机科学 2022-06-22 Andrew Wagenmaker , Yifang Chen , Max Simchowitz , Simon S. Du , Kevin Jamieson

We study the model-based reward-free reinforcement learning with linear function approximation for episodic Markov decision processes (MDPs). In this setting, the agent works in two phases. In the exploration phase, the agent interacts with…

机器学习 · 计算机科学 2022-01-03 Weitong Zhang , Dongruo Zhou , Quanquan Gu

We study how representation learning can improve the efficiency of bandit problems. We study the setting where we play $T$ linear bandits with dimension $d$ concurrently, and these $T$ bandit tasks share a common $k (\ll d)$ dimensional…

机器学习 · 计算机科学 2021-05-06 Jiaqi Yang , Wei Hu , Jason D. Lee , Simon S. Du

A recent goal in the Reinforcement Learning (RL) framework is to choose a sequence of actions or a policy to maximize the reward collected or minimize the regret incurred in a finite time horizon. For several RL problems in operation…

机器学习 · 计算机科学 2016-08-18 K J Prabuchandran , Tejas Bodas , Theja Tulabandhula

Recently, model-free reinforcement learning has attracted research attention due to its simplicity, memory and computation efficiency, and the flexibility to combine with function approximation. In this paper, we propose Exploration…

机器学习 · 计算机科学 2020-12-10 Mehdi Jafarnia-Jahromi , Chen-Yu Wei , Rahul Jain , Haipeng Luo