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We present a new algorithm based on an gradient ascent for a general Active Exploration bandit problem in the fixed confidence setting. This problem encompasses several well studied problems such that the Best Arm Identification or…

Machine Learning · Statistics 2019-05-21 Pierre Ménard

Contextual multi-armed bandits are classical models in reinforcement learning for sequential decision-making associated with individual information. A widely-used policy for bandits is Thompson Sampling, where samples from a data-driven…

Machine Learning · Statistics 2021-11-30 Hongju Park , Mohamad Kazem Shirani Faradonbeh

In this paper, we introduce the notion of replicable policies in the context of stochastic bandits, one of the canonical problems in interactive learning. A policy in the bandit environment is called replicable if it pulls, with high…

Machine Learning · Computer Science 2023-02-16 Hossein Esfandiari , Alkis Kalavasis , Amin Karbasi , Andreas Krause , Vahab Mirrokni , Grigoris Velegkas

We study here the problem of learning the exploration exploitation trade-off in the contextual bandit problem with linear reward function setting. In the traditional algorithms that solve the contextual bandit problem, the exploration is a…

Machine Learning · Computer Science 2020-05-06 Djallel Bouneffouf , Emmanuelle Claeys

Efficient exploration in bandits is a fundamental online learning problem. We propose a variant of Thompson sampling that learns to explore better as it interacts with bandit instances drawn from an unknown prior. The algorithm meta-learns…

Language model alignment (or, reinforcement learning) techniques that leverage active exploration -- deliberately encouraging the model to produce diverse, informative responses -- offer the promise of super-human capabilities. However,…

Machine Learning · Computer Science 2025-03-17 Dylan J. Foster , Zakaria Mhammedi , Dhruv Rohatgi

Many efficient algorithms with strong theoretical guarantees have been proposed for the contextual multi-armed bandit problem. However, applying these algorithms in practice can be difficult because they require domain expertise to build…

Machine Learning · Computer Science 2018-10-23 Adam N. Elmachtoub , Ryan McNellis , Sechan Oh , Marek Petrik

Motivated by the challenges of edge inference, we study a variant of the cascade bandit model in which each arm corresponds to an inference model with an associated accuracy and error probability. We analyse four decision-making…

Machine Learning · Computer Science 2026-03-30 R Sri Prakash , Nikhil Karamchandani , Sharayu Moharir

Thompson Sampling is one of the oldest heuristics for multi-armed bandit problems. It is a randomized algorithm based on Bayesian ideas, and has recently generated significant interest after several studies demonstrated it to have better…

Machine Learning · Computer Science 2012-09-18 Shipra Agrawal , Navin Goyal

The rapid proliferation of learning systems in an arbitrarily changing environment mandates the need for managing tensions between exploration and exploitation. This work proposes a quantum-inspired bandit learning approach for the…

Quantum Physics · Physics 2023-05-23 Byungjin Cho , Yu Xiao , Pan Hui , Daoyi Dong

Conducting randomized experiments in education settings raises the question of how we can use machine learning techniques to improve educational interventions. Using Multi-Armed Bandits (MAB) algorithms like Thompson Sampling (TS) in…

Machine Learning · Computer Science 2022-08-11 Fernando J. Yanez , Angela Zavaleta-Bernuy , Ziwen Han , Michael Liut , Anna Rafferty , Joseph Jay Williams

In multi-objective decision-making with hierarchical preferences, lexicographic bandits provide a natural framework for optimizing multiple objectives in a prioritized order. In this setting, a learner repeatedly selects arms and observes…

Machine Learning · Computer Science 2025-11-11 Bo Xue , Yuanyu Wan , Zhichao Lu , Qingfu Zhang

We study the problem of minimising regret in two-armed bandit problems with Gaussian rewards. Our objective is to use this simple setting to illustrate that strategies based on an exploration phase (up to a stopping time) followed by…

Statistics Theory · Mathematics 2016-11-15 Aurélien Garivier , Emilie Kaufmann , Tor Lattimore

The multi-armed bandit problem is a popular model for studying exploration/exploitation trade-off in sequential decision problems. Many algorithms are now available for this well-studied problem. One of the earliest algorithms, given by W.…

Machine Learning · Computer Science 2012-04-10 Shipra Agrawal , Navin Goyal

Starting from Robbins (1952), the literature on experimentation via multi-armed bandits has wed exploration and exploitation. Nonetheless, in many applications, agents' exploration and exploitation need not be intertwined: a policymaker may…

Theoretical Economics · Economics 2024-05-01 Alessandro Lizzeri , Eran Shmaya , Leeat Yariv

Contextual bandit algorithms are sensitive to the estimation method of the outcome model as well as the exploration method used, particularly in the presence of rich heterogeneity or complex outcome models, which can lead to difficult…

Machine Learning · Statistics 2018-12-18 Maria Dimakopoulou , Zhengyuan Zhou , Susan Athey , Guido Imbens

Bayesian optimization is a framework for global search via maximum a posteriori updates rather than simulated annealing, and has gained prominence for decision-making under uncertainty. In this work, we cast Bayesian optimization as a…

Machine Learning · Computer Science 2022-03-24 Amrit Singh Bedi , Dheeraj Peddireddy , Vaneet Aggarwal , Brian M. Sadler , Alec Koppel

Proper balance between exploitation and exploration is what makes good decisions, which achieve high rewards like payoff or evolutionary fitness. The Infomax principle postulates that maximization of information directs the function of…

Machine Learning · Computer Science 2016-05-25 Gautam Reddy , Antonio Celani , Massimo Vergassola

Recent advances in contextual bandit optimization and reinforcement learning have garnered interest in applying these methods to real-world sequential decision making problems. Real-world applications frequently have constraints with…

Machine Learning · Computer Science 2019-11-05 Samuel Daulton , Shaun Singh , Vashist Avadhanula , Drew Dimmery , Eytan Bakshy

Bayesian model-based reinforcement learning is a formally elegant approach to learning optimal behaviour under model uncertainty, trading off exploration and exploitation in an ideal way. Unfortunately, finding the resulting Bayes-optimal…

Machine Learning · Computer Science 2015-03-20 Arthur Guez , David Silver , Peter Dayan