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Bandit based methods for tree search have recently gained popularity when applied to huge trees, e.g. in the game of go [6]. Their efficient exploration of the tree enables to re- turn rapidly a good value, and improve preci- sion if more…

人工智能 · 计算机科学 2014-08-12 Pierre-Arnuad Coquelin , Remi Munos

Reinforcement Learning (RL) has achieved tremendous success in recent years. However, the classical foundations of RL do not account for the risk sensitivity of the objective function, which is critical in various fields, including…

机器学习 · 计算机科学 2025-11-14 Mohammad Alipour-Vaezi , Huaiyang Zhong , Kwok-Leung Tsui , Sajad Khodadadian

Episodic reinforcement learning and contextual bandits are two widely studied sequential decision-making problems. Episodic reinforcement learning generalizes contextual bandits and is often perceived to be more difficult due to long…

机器学习 · 计算机科学 2021-07-01 Zihan Zhang , Xiangyang Ji , Simon S. Du

Bayesian bandit algorithms with approximate Bayesian inference have been widely used in real-world applications. Despite the superior practical performance, their theoretical justification is less investigated in the literature, especially…

机器学习 · 统计学 2025-05-23 Ziyi Huang , Henry Lam , Haofeng Zhang

In this work, we consider the popular tree-based search strategy within the framework of reinforcement learning, the Monte Carlo Tree Search (MCTS), in the context of infinite-horizon discounted cost Markov Decision Process (MDP). While…

机器学习 · 统计学 2020-01-14 Devavrat Shah , Qiaomin Xie , Zhi Xu

Dueling bandits is a prominent framework for decision-making involving preferential feedback, a valuable feature that fits various applications involving human interaction, such as ranking, information retrieval, and recommendation systems.…

机器学习 · 计算机科学 2024-10-16 Qiwei Di , Tao Jin , Yue Wu , Heyang Zhao , Farzad Farnoud , Quanquan Gu

This paper presents a new model-free algorithm for episodic finite-horizon Markov Decision Processes (MDP), Adaptive Multi-step Bootstrap (AMB), which enjoys a stronger gap-dependent regret bound. The first innovation is to estimate the…

机器学习 · 计算机科学 2021-07-05 Haike Xu , Tengyu Ma , Simon S. Du

We study how to learn optimal interventions sequentially given causal information represented as a causal graph along with associated conditional distributions. Causal modeling is useful in real world problems like online advertisement…

机器学习 · 统计学 2020-06-12 Yangyi Lu , Amirhossein Meisami , Ambuj Tewari , Zhenyu Yan

We study an extension of the classic stochastic multi-armed bandit problem which involves multiple plays and Markovian rewards in the rested bandits setting. In order to tackle this problem we consider an adaptive allocation rule which at…

统计理论 · 数学 2020-07-15 Vrettos Moulos

We consider the infinitely many-armed bandit problem with rotting rewards, where the mean reward of an arm decreases at each pull of the arm according to an arbitrary trend with maximum rotting rate $\varrho=o(1)$. We show that this…

机器学习 · 计算机科学 2023-12-19 Jung-hun Kim , Milan Vojnovic , Se-Young Yun

We establish that an optimistic variant of Q-learning applied to a fixed-horizon episodic Markov decision process with an aggregated state representation incurs regret $\tilde{\mathcal{O}}(\sqrt{H^5 M K} + \epsilon HK)$, where $H$ is the…

机器学习 · 统计学 2020-02-20 Shi Dong , Benjamin Van Roy , Zhengyuan Zhou

Conservative Contextual Bandits (CCBs) address safety in sequential decision making by requiring that an agent's policy, along with minimizing regret, also satisfies a safety constraint: the performance is not worse than a baseline policy…

机器学习 · 计算机科学 2024-12-10 Rohan Deb , Mohammad Ghavamzadeh , Arindam Banerjee

For the problem of task-agnostic reinforcement learning (RL), an agent first collects samples from an unknown environment without the supervision of reward signals, then is revealed with a reward and is asked to compute a corresponding…

机器学习 · 计算机科学 2022-03-16 Jingfeng Wu , Vladimir Braverman , Lin F. Yang

We study online fair division when there are a finite number of item types and the player values for the items are drawn randomly from distributions with unknown means. In this setting, a sequence of indivisible items arrives according to a…

计算机科学与博弈论 · 计算机科学 2025-01-14 Benjamin Schiffer , Shirley Zhang

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

Under the uncoupled learning setup, the last-iterate convergence guarantee towards Nash equilibrium is shown to be impossible in many games. This work studies the last-iterate convergence guarantee in general games toward rationalizability,…

计算机科学与博弈论 · 计算机科学 2023-12-27 Jibang Wu , Haifeng Xu , Fan Yao

I introduce and analyse an anytime version of the Optimally Confident UCB (OCUCB) algorithm designed for minimising the cumulative regret in finite-armed stochastic bandits with subgaussian noise. The new algorithm is simple, intuitive (in…

机器学习 · 计算机科学 2016-05-09 Tor Lattimore

Many applications require a learner to make sequential decisions given uncertainty regarding both the system's payoff function and safety constraints. In safety-critical systems, it is paramount that the learner's actions do not violate the…

机器学习 · 计算机科学 2020-05-06 Sanae Amani , Mahnoosh Alizadeh , Christos Thrampoulidis

We study how to make decisions that minimize Bayesian regret in offline linear bandits. Prior work suggests that one must take actions with maximum lower confidence bound (LCB) on their reward. We argue that the reliance on LCB is…

机器学习 · 计算机科学 2024-07-04 Marek Petrik , Guy Tennenholtz , Mohammad Ghavamzadeh

Recent studies have shown that episodic reinforcement learning (RL) is no harder than bandits when the total reward is bounded by $1$, and proved regret bounds that have a polylogarithmic dependence on the planning horizon $H$. However, it…

机器学习 · 计算机科学 2023-05-16 Kaixuan Ji , Qingyue Zhao , Jiafan He , Weitong Zhang , Quanquan Gu