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We study the adaptive control of an unknown linear system with a quadratic cost function subject to safety constraints on both the states and actions. The challenges of this problem arise from the tension among safety, exploration,…

系统与控制 · 电气工程与系统科学 2021-11-02 Yingying Li , Subhro Das , Jeff Shamma , Na Li

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

Many popular reinforcement learning problems (e.g., navigation in a maze, some Atari games, mountain car) are instances of the episodic setting under its stochastic shortest path (SSP) formulation, where an agent has to achieve a goal state…

机器学习 · 统计学 2020-08-18 Jean Tarbouriech , Evrard Garcelon , Michal Valko , Matteo Pirotta , Alessandro Lazaric

In recent years, significant attention has been directed towards learning average-reward Markov Decision Processes (MDPs). However, existing algorithms either suffer from sub-optimal regret guarantees or computational inefficiencies. In…

机器学习 · 计算机科学 2024-06-04 Victor Boone , Zihan Zhang

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

We present a new anytime algorithm that achieves near-optimal regret for any instance of finite stochastic partial monitoring. In particular, the new algorithm achieves the minimax regret, within logarithmic factors, for both "easy" and…

机器学习 · 计算机科学 2012-07-03 Gabor Bartok , Navid Zolghadr , Csaba Szepesvari

In Markov decision processes (MDPs), quantile risk measures such as Value-at-Risk are a standard metric for modeling RL agents' preferences for certain outcomes. This paper proposes a new Q-learning algorithm for quantile optimization in…

机器学习 · 计算机科学 2024-11-01 Jia Lin Hau , Erick Delage , Esther Derman , Mohammad Ghavamzadeh , Marek Petrik

Strong worst-case performance bounds for episodic reinforcement learning exist but fortunately in practice RL algorithms perform much better than such bounds would predict. Algorithms and theory that provide strong problem-dependent bounds…

机器学习 · 计算机科学 2019-11-05 Andrea Zanette , Emma Brunskill

We take the first step in studying general sequential decision-making under two adaptivity constraints: rare policy switch and batch learning. First, we provide a general class called the Eluder Condition class, which includes a wide range…

机器学习 · 计算机科学 2023-12-07 Nuoya Xiong , Zhaoran Wang , Zhuoran Yang

Constrained Markov decision processes (CMDPs) are a common way to model safety constraints in reinforcement learning. State-of-the-art methods for efficiently solving CMDPs are based on primal-dual algorithms. For these algorithms, all…

机器学习 · 计算机科学 2024-07-22 Adrian Müller , Pragnya Alatur , Volkan Cevher , Giorgia Ramponi , Niao He

In this paper, we study the problem of regret minimization for episodic Reinforcement Learning (RL) both in the model-free and the model-based setting. We focus on learning with general function classes and general model classes, and we…

机器学习 · 计算机科学 2022-03-04 Grigoris Velegkas , Zhuoran Yang , Amin Karbasi

We study reinforcement learning (RL) with linear function approximation. For episodic time-inhomogeneous linear Markov decision processes (linear MDPs) whose transition probability can be parameterized as a linear function of a given…

机器学习 · 计算机科学 2023-11-07 Jiafan He , Heyang Zhao , Dongruo Zhou , Quanquan Gu

We study risk-sensitive reinforcement learning (RL) based on an entropic risk measure in episodic non-stationary Markov decision processes (MDPs). Both the reward functions and the state transition kernels are unknown and allowed to vary…

机器学习 · 计算机科学 2022-11-22 Yuhao Ding , Ming Jin , Javad Lavaei

This paper initiates the study of scale-free learning in Markov Decision Processes (MDPs), where the scale of rewards/losses is unknown to the learner. We design a generic algorithmic framework, \underline{S}cale \underline{C}lipping…

机器学习 · 计算机科学 2024-03-05 Mingyu Chen , Xuezhou Zhang

This paper describes a new parameter-free online learning algorithm for changing environments. In comparing against algorithms with the same time complexity as ours, we obtain a strongly adaptive regret bound that is a factor of at least…

机器学习 · 统计学 2017-08-08 Kwang-Sung Jun , Francesco Orabona , Rebecca Willett , Stephen Wright

Existing online learning algorithms for adversarial Markov Decision Processes achieve ${O}(\sqrt{T})$ regret after $T$ rounds of interactions even if the loss functions are chosen arbitrarily by an adversary, with the caveat that the…

机器学习 · 计算机科学 2023-10-27 Tiancheng Jin , Junyan Liu , Chloé Rouyer , William Chang , Chen-Yu Wei , Haipeng Luo

We study how to adapt to smoothly-varying ('easy') environments in well-known online learning problems where acquiring information is expensive. For the problem of label efficient prediction, which is a budgeted version of prediction with…

机器学习 · 计算机科学 2019-12-09 Siddharth Mitra , Aditya Gopalan

We study online learning when partial feedback information is provided following every action of the learning process, and the learner incurs switching costs for changing his actions. In this setting, the feedback information system can be…

机器学习 · 计算机科学 2019-05-21 Anshuka Rangi , Massimo Franceschetti

Achieving sample efficiency in online episodic reinforcement learning (RL) requires optimally balancing exploration and exploitation. When it comes to a finite-horizon episodic Markov decision process with $S$ states, $A$ actions and…

机器学习 · 计算机科学 2022-10-18 Gen Li , Laixi Shi , Yuxin Chen , Yuejie Chi

This paper presents the first model-free, simulator-free reinforcement learning algorithm for Constrained Markov Decision Processes (CMDPs) with sublinear regret and zero constraint violation. The algorithm is named Triple-Q because it…

机器学习 · 计算机科学 2021-10-26 Honghao Wei , Xin Liu , Lei Ying