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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

In Markov Decision Processes (MDPs), the reward obtained in a state depends on the properties of the last state and action. This state dependency makes it difficult to reward more interesting long-term behaviors, such as always closing a…

人工智能 · 计算机科学 2017-06-27 Ronen Brafman , Giuseppe De Giacomo , Fabio Patrizi

We derive a novel asymptotic problem-dependent lower-bound for regret minimization in finite-horizon tabular Markov Decision Processes (MDPs). While, similar to prior work (e.g., for ergodic MDPs), the lower-bound is the solution to an…

机器学习 · 计算机科学 2021-06-25 Andrea Tirinzoni , Matteo Pirotta , Alessandro Lazaric

We consider (stochastic) softmax policy gradient (PG) methods for bandits and tabular Markov decision processes (MDPs). While the PG objective is non-concave, recent research has used the objective's smoothness and gradient domination…

机器学习 · 计算机科学 2024-10-01 Michael Lu , Matin Aghaei , Anant Raj , Sharan Vaswani

We consider a two-agent MDP framework where agents repeatedly solve a task in a collaborative setting. We study the problem of designing a learning algorithm for the first agent (A1) that facilitates a successful collaboration even in cases…

机器学习 · 计算机科学 2019-06-21 Goran Radanovic , Rati Devidze , David C. Parkes , Adish Singla

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 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

In the optimization of dynamic systems, the variables typically have constraints. Such problems can be modeled as a Constrained Markov Decision Process (CMDP). This paper considers the peak Constrained Markov Decision Process (PCMDP), where…

最优化与控制 · 数学 2022-06-15 Qinbo Bai , Vaneet Aggarwal , Ather Gattami

While Large Language Models (LLMs) hold promise to become autonomous agents, they often explore suboptimally in sequential decision-making. Recent work has sought to enhance this capability via supervised fine-tuning (SFT) or reinforcement…

机器学习 · 计算机科学 2025-09-30 Sanxing Chen , Xiaoyin Chen , Yukun Huang , Roy Xie , Bhuwan Dhingra

Reinforcement Learning (RL) has emerged as an efficient method of choice for solving complex sequential decision making problems in automatic control, computer science, economics, and biology. In this paper we present a model-free RL…

计算机科学中的逻辑 · 计算机科学 2019-09-13 Mohammadhosein Hasanbeig , Yiannis Kantaros , Alessandro Abate , Daniel Kroening , George J. Pappas , Insup Lee

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

Standard reinforcement learning (RL) assumes that an agent can observe a reward for each state-action pair. However, in practical applications, it is often difficult and costly to collect a reward for each state-action pair. While there…

机器学习 · 计算机科学 2025-06-18 Yihan Du , Anna Winnicki , Gal Dalal , Shie Mannor , R. Srikant

We consider reinforcement learning (RL) in episodic MDPs with adversarial full-information reward feedback and unknown fixed transition kernels. We propose two model-free policy optimization algorithms, POWER and POWER++, and establish…

机器学习 · 计算机科学 2020-07-02 Yingjie Fei , Zhuoran Yang , Zhaoran Wang , Qiaomin Xie

Markov decision processes (MDP) are a well-established model for sequential decision-making in the presence of probabilities. In robust MDP (RMDP), every action is associated with an uncertainty set of probability distributions, modelling…

人工智能 · 计算机科学 2024-12-16 Tobias Meggendorfer , Maximilian Weininger , Patrick Wienhöft

For the misspecified linear Markov decision process (MLMDP) model of Jin et al. [2020], we propose an algorithm with three desirable properties. (P1) Its regret after $K$ episodes scales as $K \max \{ \varepsilon_{\text{mis}},…

机器学习 · 计算机科学 2022-03-02 Daniel Vial , Advait Parulekar , Sanjay Shakkottai , R. Srikant

A novel reinforcement learning scheme to synthesize policies for continuous-space Markov decision processes (MDPs) is proposed. This scheme enables one to apply model-free, off-the-shelf reinforcement learning algorithms for finite MDPs to…

系统与控制 · 电气工程与系统科学 2020-03-03 Abolfazl Lavaei , Fabio Somenzi , Sadegh Soudjani , Ashutosh Trivedi , Majid Zamani

Model-based reinforcement learning (RL) is appealing because (i) it enables planning and thus more strategic exploration, and (ii) by decoupling dynamics from rewards, it enables fast transfer to new reward functions. However, learning an…

In many real-world applications such as recommendation systems, multiple learning agents must balance exploration and exploitation while maintaining safety guarantees to avoid catastrophic failures. We study the stochastic linear bandit…

机器学习 · 计算机科学 2026-02-16 Amirhossein Afsharrad , Ahmadreza Moradipari , Sanjay Lall

We study reward-free and reward-agnostic exploration in episodic finite-horizon Markov decision processes (MDPs), where an agent explores an unknown environment without observing external rewards. Reward-free exploration aims to enable…

机器学习 · 计算机科学 2026-05-18 Oran Ridel , Alon Cohen

We study the setting of \emph{performative reinforcement learning} where the deployed policy affects both the reward, and the transition of the underlying Markov decision process. Prior work~\parencite{MTR23} has addressed this problem…

机器学习 · 计算机科学 2025-03-18 Debmalya Mandal , Goran Radanovic