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相关论文: The Role of Contextual Information in Best Arm Ide…

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We consider the problem of best arm identification in the multi-armed bandit model, under fixed confidence. Given a confidence input $\delta$, the goal is to identify the arm with the highest mean reward with a probability of at least 1 --…

机器学习 · 统计学 2023-12-21 El Mehdi Saad , Gilles Blanchard , Nicolas Verzelen

We study best-arm identification in stochastic multi-armed bandits under the fixed-confidence setting, focusing on instances with multiple optimal arms. Unlike prior work that addresses the unknown-number-of-optimal-arms case, we consider…

机器学习 · 计算机科学 2026-03-05 Lan V. Truong

We study the best-arm identification (BAI) problem with a fixed budget and contextual (covariate) information. In each round of an adaptive experiment, after observing contextual information, we choose a treatment arm using past…

机器学习 · 计算机科学 2023-01-05 Masahiro Kato , Masaaki Imaizumi , Takuya Ishihara , Toru Kitagawa

The best arm identification problem in the multi-armed bandit setting is an excellent model of many real-world decision-making problems, yet it fails to capture the fact that in the real-world, safety constraints often must be met while…

机器学习 · 计算机科学 2021-11-25 Zhenlin Wang , Andrew Wagenmaker , Kevin Jamieson

We examine a multi-armed bandit problem with contextual information, where the objective is to ensure that each arm receives a minimum aggregated reward across contexts while simultaneously maximizing the total cumulative reward. This…

机器学习 · 计算机科学 2025-10-15 Ahmed Ben Yahmed , Hafedh El Ferchichi , Marc Abeille , Vianney Perchet

This paper investigates the problem of best arm identification in $\textit{contaminated}$ stochastic multi-arm bandits. In this setting, the rewards obtained from any arm are replaced by samples from an adversarial model with probability…

机器学习 · 计算机科学 2021-11-16 Arpan Mukherjee , Ali Tajer , Pin-Yu Chen , Payel Das

In the stochastic contextual bandit setting, regret-minimizing algorithms have been extensively researched, but their instance-minimizing best-arm identification counterparts remain seldom studied. In this work, we focus on the stochastic…

机器学习 · 统计学 2023-10-04 Zhaoqi Li , Lillian Ratliff , Houssam Nassif , Kevin Jamieson , Lalit Jain

We consider the best arm identification problem in the stochastic multi-armed bandit framework where each arm has a tiny probability of realizing large rewards while with overwhelming probability the reward is zero. A key application of…

机器学习 · 计算机科学 2023-03-15 Anirban Bhattacharjee , Sushant Vijayan , Sandeep K Juneja

In a multi-armed bandit (MAB) problem, an online algorithm makes a sequence of choices. In each round it chooses from a time-invariant set of alternatives and receives the payoff associated with this alternative. While the case of small…

数据结构与算法 · 计算机科学 2014-05-21 Aleksandrs Slivkins

Motivated by the task of hyperparameter optimization, we introduce the non-stochastic best-arm identification problem. Within the multi-armed bandit literature, the cumulative regret objective enjoys algorithms and analyses for both the…

机器学习 · 计算机科学 2015-03-02 Kevin Jamieson , Ameet Talwalkar

We study a novel variant of the multi-armed bandit problem, where at each time step, the player observes an independently sampled context that determines the arms' mean rewards. However, playing an arm blocks it (across all contexts) for a…

机器学习 · 计算机科学 2020-06-18 Soumya Basu , Orestis Papadigenopoulos , Constantine Caramanis , Sanjay Shakkottai

In many applications, e.g. in healthcare and e-commerce, the goal of a contextual bandit may be to learn an optimal treatment assignment policy at the end of the experiment. That is, to minimize simple regret. However, this objective…

机器学习 · 计算机科学 2023-11-06 Sanath Kumar Krishnamurthy , Ruohan Zhan , Susan Athey , Emma Brunskill

Contextual bandits are a form of multi-armed bandit in which the agent has access to predictive side information (known as the context) for each arm at each time step, and have been used to model personalized news recommendation, ad…

机器学习 · 统计学 2017-05-25 Aniket Anand Deshmukh , Urun Dogan , Clayton Scott

We study the problem of best-arm identification with fixed confidence in stochastic linear bandits. The objective is to identify the best arm with a given level of certainty while minimizing the sampling budget. We devise a simple algorithm…

机器学习 · 统计学 2020-06-30 Yassir Jedra , Alexandre Proutiere

We focus on the problem of best-arm identification in a stochastic multi-arm bandit with temporally decreasing variances for the arms' rewards. We model arm rewards as Gaussian random variables with fixed means and variances that decrease…

机器学习 · 计算机科学 2025-02-12 Tamojeet Roychowdhury , Kota Srinivas Reddy , Krishna P Jagannathan , Sharayu Moharir

Causal knowledge can be used to support decision-making problems. This has been recognized in the causal bandits literature, where a causal (multi-armed) bandit is characterized by a causal graphical model and a target variable. The arms…

机器学习 · 计算机科学 2025-10-14 Francisco N. F. Q. Simoes , Itai Feigenbaum , Mehdi Dastani , Thijs van Ommen

In today's technology environment, information is abundant, dynamic, and heterogeneous in nature. Automated filtering and prioritization of information is based on the distinction between whether the information adds substantial value…

机器学习 · 计算机科学 2022-02-01 Jade Freeman , Michael Rawson

The stochastic multi-armed bandit model is a simple abstraction that has proven useful in many different contexts in statistics and machine learning. Whereas the achievable limit in terms of regret minimization is now well known, our aim is…

机器学习 · 统计学 2016-11-15 Emilie Kaufmann , Olivier Cappé , Aurélien Garivier

In the latent bandit problem, the learner has access to reward distributions and -- for the non-stationary variant -- transition models of the environment. The reward distributions are conditioned on the arm and unknown latent states. The…

机器学习 · 计算机科学 2022-07-11 Alexander Galozy , Slawomir Nowaczyk

We study a grouped bandit setting where each arm comprises multiple independent sub-arms referred to as attributes. Each attribute of each arm has an independent stochastic reward. We impose the constraint that for an arm to be deemed…

机器学习 · 计算机科学 2024-12-12 Sahil Dharod , Malyala Preethi Sravani , Sakshi Heda , Sharayu Moharir
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