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We study stage-wise conservative linear stochastic bandits: an instance of bandit optimization, which accounts for (unknown) safety constraints that appear in applications such as online advertising and medical trials. At each stage, the…

Machine Learning · Computer Science 2020-10-02 Ahmadreza Moradipari , Christos Thrampoulidis , Mahnoosh Alizadeh

We study the ranking problem in generalized linear bandits. At each time, the learning agent selects an ordered list of items and observes stochastic outcomes. In recommendation systems, displaying an ordered list of the most attractive…

Machine Learning · Statistics 2024-01-03 Amitis Shidani , George Deligiannidis , Arnaud Doucet

Ensemble sampling serves as a practical approximation to Thompson sampling when maintaining an exact posterior distribution over model parameters is computationally intractable. In this paper, we establish a regret bound that ensures…

Machine Learning · Computer Science 2023-03-02 Chao Qin , Zheng Wen , Xiuyuan Lu , Benjamin Van Roy

How can we make use of information parallelism in online decision making problems while efficiently balancing the exploration-exploitation trade-off? In this paper, we introduce a batch Thompson Sampling framework for two canonical online…

Machine Learning · Computer Science 2021-06-04 Amin Karbasi , Vahab Mirrokni , Mohammad Shadravan

One of the key drivers of complexity in the classical (stochastic) multi-armed bandit (MAB) problem is the difference between mean rewards in the top two arms, also known as the instance gap. The celebrated Upper Confidence Bound (UCB)…

Machine Learning · Computer Science 2021-10-27 Anand Kalvit , Assaf Zeevi

In this paper, we propose a Thompson Sampling algorithm for \emph{unimodal} bandits, where the expected reward is unimodal over the partially ordered arms. To exploit the unimodal structure better, at each step, instead of exploration from…

Machine Learning · Computer Science 2021-06-17 Long Yang , Zhao Li , Zehong Hu , Shasha Ruan , Shijian Li , Gang Pan , Hongyang Chen

We consider the non-stationary multi-armed bandit (MAB) framework and propose a Kolmogorov-Smirnov (KS) test based Thompson Sampling (TS) algorithm named TS-KS, that actively detects change points and resets the TS parameters once a change…

Machine Learning · Statistics 2021-10-22 Gourab Ghatak , Hardhik Mohanty , Aniq Ur Rahman

Thompson sampling is one of the most widely used algorithms for many online decision problems, due to its simplicity in implementation and superior empirical performance over other state-of-the-art methods. Despite its popularity and…

Machine Learning · Computer Science 2020-10-02 Tianyuan Jin , Pan Xu , Jieming Shi , Xiaokui Xiao , Quanquan Gu

We investigate the problem of learning an equilibrium in a generalized two-sided matching market, where agents can adaptively choose their actions based on their assigned matches. Specifically, we consider a setting in which matched agents…

Machine Learning · Computer Science 2025-06-05 Andreas Athanasopoulos , Christos Dimitrakakis

In many biomedical, science, and engineering problems, one must sequentially decide which action to take next so as to maximize rewards. One general class of algorithms for optimizing interactions with the world, while simultaneously…

Machine Learning · Statistics 2021-05-05 Iñigo Urteaga , Chris H. Wiggins

Restless bandit problems assume time-varying reward distributions of the arms, which adds flexibility to the model but makes the analysis more challenging. We study learning algorithms over the unknown reward distributions and prove a…

Machine Learning · Computer Science 2019-10-15 Young Hun Jung , Marc Abeille , Ambuj Tewari

UCT, a state-of-the art algorithm for Monte Carlo tree sampling (MCTS), is based on UCB, a sampling policy for the Multi-armed Bandit Problem (MAB) that minimizes the accumulated regret. However, MCTS differs from MAB in that only the final…

Artificial Intelligence · Computer Science 2012-07-26 David Tolpin , Solomon Eyal Shimony

We present a new recommendation setting for picking out two items from a given set to be highlighted to a user, based on contextual input. These two items are presented to a user who chooses one of them, possibly stochastically, with a bias…

Machine Learning · Computer Science 2016-01-26 Daniel Barsky , Koby Crammer

E-commerce sites strive to provide users the most timely relevant information in order to reduce shopping frictions and increase customer satisfaction. Multi armed bandit models (MAB) as a type of adaptive optimization algorithms provide…

Information Retrieval · Computer Science 2021-08-23 Ding Xiang , Becky West , Jiaqi Wang , Xiquan Cui , Jinzhou Huang

Large-scale, two-sided matching platforms must find market outcomes that align with user preferences while simultaneously learning these preferences from data. Classical notions of stability (Gale and Shapley, 1962; Shapley and Shubik,…

Machine Learning · Computer Science 2023-02-02 Meena Jagadeesan , Alexander Wei , Yixin Wang , Michael I. Jordan , Jacob Steinhardt

Thompson sampling (TS) is a popular heuristic for action selection, but it requires sampling from a posterior distribution. Unfortunately, this can become computationally intractable in complex environments, such as those modeled using…

Stochastic linear bandits are a natural and simple generalisation of finite-armed bandits with numerous practical applications. Current approaches focus on generalising existing techniques for finite-armed bandits, notably the optimism…

Machine Learning · Statistics 2016-10-17 Tor Lattimore , Csaba Szepesvari

Web-based applications such as chatbots, search engines and news recommendations continue to grow in scale and complexity with the recent surge in the adoption of LLMs. Online model selection has thus garnered increasing attention due to…

Machine Learning · Computer Science 2024-03-13 Yu Xia , Fang Kong , Tong Yu , Liya Guo , Ryan A. Rossi , Sungchul Kim , Shuai Li

We study the problem of finding the optimal dosage in early stage clinical trials through the multi-armed bandit lens. We advocate the use of the Thompson Sampling principle, a flexible algorithm that can accommodate different types of…

Machine Learning · Statistics 2020-04-09 Maryam Aziz , Emilie Kaufmann , Marie-Karelle Riviere

Developing efficient sequential bidding strategies for repeated auctions is an important practical challenge in various marketing tasks. In this setting, the bidding agent obtains information, on both the value of the item at sale and the…

Machine Learning · Computer Science 2021-03-01 Juliette Achddou , Olivier Cappé , Aurélien Garivier