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In these notes we will tackle the problem of finding optimal policies for Markov decision processes (MDPs) which are not fully known to us. Our intention is to slowly transition from an offline setting to an online (learning) setting.…

人工智能 · 计算机科学 2022-06-22 Guillermo A. Perez

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

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

Online structured prediction is a task of sequentially predicting outputs with complex structures based on inputs and past observations, encompassing online classification. Recent studies showed that in the full-information setting, we can…

机器学习 · 计算机科学 2026-01-06 Yuki Shibukawa , Taira Tsuchiya , Shinsaku Sakaue , Kenji Yamanishi

This work studies the problem of learning episodic Markov Decision Processes with known transition and bandit feedback. We develop the first algorithm with a ``best-of-both-worlds'' guarantee: it achieves $\mathcal{O}(log T)$ regret when…

机器学习 · 计算机科学 2020-11-03 Tiancheng Jin , Haipeng Luo

Motivated by applications to online advertising and recommender systems, we consider a game-theoretic model with delayed rewards and asynchronous, payoff-based feedback. In contrast to previous work on delayed multi-armed bandits, we focus…

计算机科学与博弈论 · 计算机科学 2020-06-22 Amélie Héliou , Panayotis Mertikopoulos , Zhengyuan Zhou

Despite rapid progress in theoretical reinforcement learning (RL) over the last few years, most of the known guarantees are worst-case in nature, failing to take advantage of structure that may be known a priori about a given RL problem at…

机器学习 · 计算机科学 2021-10-26 Noah Golowich , Ankur Moitra

This work studies online episodic tabular Markov decision processes (MDPs) with known transitions and develops best-of-both-worlds algorithms that achieve refined data-dependent regret bounds in the adversarial regime and variance-dependent…

机器学习 · 计算机科学 2026-02-03 Mingyi Li , Taira Tsuchiya , Kenji Yamanishi

We study model-free Q-learning in finite-horizon episodic Markov Decision Processes (MDPs) with stationary dynamics across episodes. We identify a central issue in nascent model-free posterior-sampling works: the reliance on delayed…

机器学习 · 计算机科学 2026-05-21 Sofia R. Miskala-Dinc , Aviva Prins

The paper considers a class of multi-agent Markov decision processes (MDPs), in which the network agents respond differently (as manifested by the instantaneous one-stage random costs) to a global controlled state and the control actions of…

机器学习 · 统计学 2015-06-04 Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

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

The wide popularity of short videos on social media poses new opportunities and challenges to optimize recommender systems on the video-sharing platforms. Users provide complex and multi-faceted responses towards recommendations, including…

机器学习 · 计算机科学 2022-05-27 Qingpeng Cai , Ruohan Zhan , Chi Zhang , Jie Zheng , Guangwei Ding , Pinghua Gong , Dong Zheng , Peng Jiang

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 study the adversarial multi-armed bandit problem in a setting where the player incurs a unit cost each time he switches actions. We prove that the player's $T$-round minimax regret in this setting is $\widetilde{\Theta}(T^{2/3})$,…

机器学习 · 计算机科学 2013-11-21 Ofer Dekel , Jian Ding , Tomer Koren , Yuval Peres

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

Existing episodic reinforcement algorithms assume that the length of an episode is fixed across time and known a priori. In this paper, we consider a general framework of episodic reinforcement learning when the length of each episode is…

机器学习 · 计算机科学 2023-02-08 Debmalya Mandal , Goran Radanovic , Jiarui Gan , Adish Singla , Rupak Majumdar

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

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

Learning a near optimal policy in a partially observable system remains an elusive challenge in contemporary reinforcement learning. In this work, we consider episodic reinforcement learning in a reward-mixing Markov decision process (MDP).…

机器学习 · 计算机科学 2022-02-01 Jeongyeol Kwon , Yonathan Efroni , Constantine Caramanis , Shie Mannor

The dueling bandit problem, an essential variation of the traditional multi-armed bandit problem, has become significantly prominent recently due to its broad applications in online advertising, recommendation systems, information…

机器学习 · 计算机科学 2025-04-08 Bongsoo Yi , Yue Kang , Yao Li