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Partial monitoring is a rich framework for sequential decision making under uncertainty that generalizes many well known bandit models, including linear, combinatorial and dueling bandits. We introduce information directed sampling (IDS)…

Machine Learning · Statistics 2020-02-27 Johannes Kirschner , Tor Lattimore , Andreas Krause

Partial monitoring is a generic framework for sequential decision-making with incomplete feedback. It encompasses a wide class of problems such as dueling bandits, learning with expect advice, dynamic pricing, dark pools, and label…

Machine Learning · Computer Science 2024-06-27 Pratik Gajane , Tanguy Urvoy

Partial monitoring is a generalization of the well-known multi-armed bandit framework where the loss is not directly observed by the learner. We complete the classification of finite adversarial partial monitoring to include all games,…

Machine Learning · Computer Science 2018-05-24 Tor Lattimore , Csaba Szepesvari

Partial monitoring is a general model for sequential learning with limited feedback formalized as a game between two players. In this game, the learner chooses an action and at the same time the opponent chooses an outcome, then the learner…

Machine Learning · Statistics 2015-10-01 Junpei Komiyama , Junya Honda , Hiroshi Nakagawa

In contrast to the classic formulation of partial monitoring, linear partial monitoring can model infinite outcome spaces, while imposing a linear structure on both the losses and the observations. This setting can be viewed as a…

Machine Learning · Computer Science 2026-01-15 Federico Di Gennaro , Khaled Eldowa , Nicolò Cesa-Bianchi

We study the sequential batch learning problem in linear contextual bandits with finite action sets, where the decision maker is constrained to split incoming individuals into (at most) a fixed number of batches and can only observe…

Machine Learning · Computer Science 2020-04-15 Yanjun Han , Zhengqing Zhou , Zhengyuan Zhou , Jose Blanchet , Peter W. Glynn , Yinyu Ye

Partial-monitoring games constitute a mathematical framework for sequential decision making problems with imperfect feedback: The learner repeatedly chooses an action, opponent responds with an outcome, and then the learner suffers a loss…

Computer Science and Game Theory · Computer Science 2011-10-13 András Antos , Gábor Bartók , Dávid Pál , Csaba Szepesvári

The partial monitoring (PM) framework provides a theoretical formulation of sequential learning problems with incomplete feedback. On each round, a learning agent plays an action while the environment simultaneously chooses an outcome. The…

Machine Learning · Computer Science 2024-05-17 Maxime Heuillet , Ola Ahmad , Audrey Durand

We introduce a simple and efficient algorithm for stochastic linear bandits with finitely many actions that is asymptotically optimal and (nearly) worst-case optimal in finite time. The approach is based on the frequentist…

Machine Learning · Statistics 2021-07-05 Johannes Kirschner , Tor Lattimore , Claire Vernade , Csaba Szepesvári

This study considers the partial monitoring problem with $k$-actions and $d$-outcomes and provides the first best-of-both-worlds algorithms, whose regrets are favorably bounded both in the stochastic and adversarial regimes. In particular,…

Machine Learning · Computer Science 2022-10-11 Taira Tsuchiya , Shinji Ito , Junya Honda

We present and study a partial-information model of online learning, where a decision maker repeatedly chooses from a finite set of actions, and observes some subset of the associated losses. This naturally models several situations where…

Machine Learning · Computer Science 2014-10-01 Noga Alon , Nicolò Cesa-Bianchi , Claudio Gentile , Shie Mannor , Yishay Mansour , Ohad Shamir

Sequential decision-making algorithms such as multi-armed bandits can find optimal personalized decisions, but are notoriously sample-hungry. In personalized medicine, for example, training a bandit from scratch for every patient is…

Machine Learning · Computer Science 2026-05-12 Ahmet Zahid Balcıoğlu , Newton Mwai , Emil Carlsson , Fredrik D. Johansson

We investigate finite stochastic partial monitoring, which is a general model for sequential learning with limited feedback. While Thompson sampling is one of the most promising algorithms on a variety of online decision-making problems,…

Machine Learning · Statistics 2021-06-11 Taira Tsuchiya , Junya Honda , Masashi Sugiyama

This thesis considers sequential decision problems, where the loss/reward incurred by selecting an action may not be inferred from observed feedback. A major part of this thesis focuses on the unsupervised sequential selection problem,…

Machine Learning · Computer Science 2023-01-30 Arun Verma

This thesis considers sequential decision problems, where the loss/reward incurred by selecting an action may not be inferred from observed feedback. A major part of this thesis focuses on the unsupervised sequential selection problem,…

Machine Learning · Computer Science 2022-12-23 Arun Verma

The stochastic multi-armed bandit setting has been recently studied in the non-stationary regime, where the mean payoff of each action is a non-decreasing function of the number of rounds passed since it was last played. This model captures…

Machine Learning · Computer Science 2022-10-13 Orestis Papadigenopoulos , Constantine Caramanis , Sanjay Shakkottai

In this paper, we consider a best action identification problem in the stochastic linear bandit setup with a fixed confident constraint. In the considered best action identification problem, instead of minimizing the accumulative regret as…

Machine Learning · Computer Science 2018-12-04 Jun Geng , Lifeng Lai

Stochastic optimization is a widely used approach for optimization under uncertainty, where uncertain input parameters are modeled by random variables. Exact or approximation algorithms have been obtained for several fundamental problems in…

Machine Learning · Computer Science 2025-08-14 Arpit Agarwal , Rohan Ghuge , Viswanath Nagarajan , Zhengjia Zhuo

The primary goal of my Ph.D. study is to develop provably efficient and practical algorithms for data-driven sequential decision-making under uncertainty. My work focuses on reinforcement learning (RL), multi-armed bandits, and their…

Machine Learning · Computer Science 2025-05-16 Zhiyong Wang

We consider Bayesian optimization in settings where observations can be adversarially biased, for example by an uncontrolled hidden confounder. Our first contribution is a reduction of the confounded setting to the dueling bandit model.…

Machine Learning · Statistics 2021-06-10 Johannes Kirschner , Andreas Krause
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