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Motivated by recursive learning in Markov Decision Processes, this paper studies best-arm identification in bandit problems where each arm's reward is drawn from a multinomial distribution with a known support. We compare the performance {…

机器学习 · 计算机科学 2025-02-19 Mehrasa Ahmadipour , élise Crepon , Aurélien Garivier

We consider the Max $K$-Armed Bandit problem, where a learning agent is faced with several stochastic arms, each a source of i.i.d. rewards of unknown distribution. At each time step the agent chooses an arm, and observes the reward of the…

机器学习 · 统计学 2015-12-25 Yahel David , Nahum Shimkin

In this paper, we introduce the COmbinatorial Multi-Objective Multi-Armed Bandit (COMO-MAB) problem that captures the challenges of combinatorial and multi-objective online learning simultaneously. In this setting, the goal of the learner…

机器学习 · 计算机科学 2018-03-13 Doruk Öner , Altuğ Karakurt , Atilla Eryılmaz , Cem Tekin

We propose a new strategy for best-arm identification with fixed confidence of Gaussian variables with bounded means and unit variance. This strategy, called Exploration-Biased Sampling, is not only asymptotically optimal: it is to the best…

统计理论 · 数学 2022-03-08 Antoine Barrier , Aurélien Garivier , Tomáš Kocák

In this paper, we aim to build a novel bandits algorithm that is capable of fully harnessing the power of multi-dimensional data and the inherent non-linearity of reward functions to provide high-usable and accountable decision-making…

机器学习 · 计算机科学 2024-01-18 Qianxin Yi , Yiyang Yang , Shaojie Tang , Jiapeng Liu , Yao Wang

We study an original problem of pure exploration in a strategic bandit model motivated by Monte Carlo Tree Search. It consists in identifying the best action in a game, when the player may sample random outcomes of sequentially chosen pairs…

统计理论 · 数学 2016-02-16 Aurélien Garivier , Emilie Kaufmann , Wouter Koolen

Large language models (LLMs) have been adopted to solve sequential decision-making tasks such as multi-armed bandits (MAB), in which an LLM is directly instructed to select the arms to pull in every iteration. However, this paradigm of…

机器学习 · 计算机科学 2025-02-04 Jiahang Sun , Zhiyong Wang , Runhan Yang , Chenjun Xiao , John C. S. Lui , Zhongxiang Dai

Social learning is learning through the observation of or interaction with other individuals; it is critical in the understanding of the collective behaviors of humans in social physics. We study the learning process of agents in a restless…

物理与社会 · 物理学 2020-12-01 Kazuaki Nakayama , Ryuzo Nakamura , Masato Hisakado , Shintaro Mori

We consider incentivized exploration: a version of multi-armed bandits where the choice of arms is controlled by self-interested agents, and the algorithm can only issue recommendations. The algorithm controls the flow of information, and…

计算机科学与博弈论 · 计算机科学 2022-06-14 Mark Sellke , Aleksandrs Slivkins

We consider the classic problem of $(\epsilon,\delta)$-PAC learning a best arm where the goal is to identify with confidence $1-\delta$ an arm whose mean is an $\epsilon$-approximation to that of the highest mean arm in a multi-armed bandit…

机器学习 · 计算机科学 2020-06-23 Avinatan Hassidim , Ron Kupfer , Yaron Singer

We study distributed cooperative decision-making under the explore-exploit tradeoff in the multiarmed bandit (MAB) problem. We extend the state-of-the-art frequentist and Bayesian algorithms for single-agent MAB problems to cooperative…

系统与控制 · 计算机科学 2019-09-18 Peter Landgren , Vaibhav Srivastava , Naomi Ehrich Leonard

In this paper, we consider the low rank structure of the reward sequence of the pure exploration problems. Firstly, we propose the separated setting in pure exploration problem, where the exploration strategy cannot receive the feedback of…

机器学习 · 计算机科学 2023-06-29 Yaxiong Liu , Atsuyoshi Nakamura , Kohei Hatano , Eiji Takimoto

We study the robust best-arm identification problem (RBAI) in the case of linear rewards. The primary objective is to identify a near-optimal robust arm, which involves selecting arms at every round and assessing their robustness by…

机器学习 · 计算机科学 2023-11-09 Wei Wang , Sattar Vakili , Ilija Bogunovic

We study the problem of federated stochastic multi-arm contextual bandits with unknown contexts, in which M agents are faced with different bandits and collaborate to learn. The communication model consists of a central server and the…

机器学习 · 计算机科学 2024-01-31 Jiabin Lin , Shana Moothedath

As two popular schools of machine learning, online learning and evolutionary computations have become two important driving forces behind real-world decision making engines for applications in biomedicine, economics, and engineering fields.…

神经与进化计算 · 计算机科学 2022-05-24 Baihan Lin

Multitask Reinforcement Learning (MTRL) approaches have gained increasing attention for its wide applications in many important Reinforcement Learning (RL) tasks. However, while recent advancements in MTRL theory have focused on the…

机器学习 · 统计学 2024-03-07 Ziping Xu , Zifan Xu , Runxuan Jiang , Peter Stone , Ambuj Tewari

We address the problem of online sequential decision making, i.e., balancing the trade-off between exploiting the current knowledge to maximize immediate performance and exploring the new information to gain long-term benefits using the…

机器学习 · 计算机科学 2022-09-20 Kartik Anand Pant , Amod Hegde , K. V. Srinivas

We study a Combinatorial Multi-Bandit Problem motivated by applications in energy systems management. Given multiple probabilistic multi-arm bandits with unknown outcome distributions, the task is to optimize the value of a combinatorial…

机器学习 · 计算机科学 2020-11-05 Tobias Jacobs , Mischa Schmidt , Sébastien Nicolas , Anett Schülke

We consider the combinatorial bandits problem with semi-bandit feedback under finite sampling budget constraints, in which the learner can carry out its action only for a limited number of times specified by an overall budget. The action is…

机器学习 · 计算机科学 2022-10-17 Jasmin Brandt , Viktor Bengs , Björn Haddenhorst , Eyke Hüllermeier

Combinatorial bandits extend the classical bandit framework to settings where the learner selects multiple arms in each round, motivated by applications such as online recommendation and assortment optimization. While extensions of upper…

机器学习 · 计算机科学 2025-10-29 Yuxiao Wen , Yanjun Han , Zhengyuan Zhou