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The Lipschitz bandit problem extends stochastic bandits to a continuous action set defined over a metric space, where the expected reward function satisfies a Lipschitz condition. In this work, we introduce a new problem of Lipschitz bandit…

Machine Learning · Computer Science 2026-02-12 Zhongxuan Liu , Yue Kang , Thomas C. M. Lee

We consider a planning problem where the dynamics and rewards of the environment depend on a hidden static parameter referred to as the context. The objective is to learn a strategy that maximizes the accumulated reward across all contexts.…

Machine Learning · Statistics 2015-02-10 Assaf Hallak , Dotan Di Castro , Shie Mannor

Increasingly, recommender systems are tasked with improving users' long-term satisfaction. In this context, we study a content exploration task, which we formalize as a bandit problem with delayed rewards. There is an apparent trade-off in…

Machine Learning · Computer Science 2025-01-15 Kelly W. Zhang , Thomas Baldwin-McDonald , Kamil Ciosek , Lucas Maystre , Daniel Russo

The standard Markov Decision Process (MDP) formulation hinges on the assumption that an action is executed immediately after it was chosen. However, assuming it is often unrealistic and can lead to catastrophic failures in applications such…

Machine Learning · Computer Science 2023-12-14 Esther Derman , Gal Dalal , Shie Mannor

The Markov decision process (MDP) formulation used to model many real-world sequential decision making problems does not efficiently capture the setting where the set of available decisions (actions) at each time step is stochastic.…

Machine Learning · Computer Science 2020-01-22 Yash Chandak , Georgios Theocharous , Blossom Metevier , Philip S. Thomas

Many problems in sequential decision making and stochastic control often have natural multiscale structure: sub-tasks are assembled together to accomplish complex goals. Systematically inferring and leveraging hierarchical structure,…

Artificial Intelligence · Computer Science 2012-12-06 Jake Bouvrie , Mauro Maggioni

We propose a multi-agent based computational framework for modeling decision-making and strategic interaction at micro level for smart vehicles in a smart world. The concepts of Markov game and best response dynamics are heavily leveraged.…

Multiagent Systems · Computer Science 2022-01-05 Qi Dai , Xunnong Xu , Wen Guo , Suzhou Huang , Dimitar Filev

We investigate the problem of stochastic, combinatorial multi-armed bandits where the learner only has access to bandit feedback and the reward function can be non-linear. We provide a general framework for adapting discrete offline…

Machine Learning · Computer Science 2023-10-13 Guanyu Nie , Yididiya Y Nadew , Yanhui Zhu , Vaneet Aggarwal , Christopher John Quinn

We investigate properties of Thompson Sampling in the stochastic multi-armed bandit problem with delayed feedback. In a setting with i.i.d delays, we establish to our knowledge the first regret bounds for Thompson Sampling with arbitrary…

Machine Learning · Computer Science 2022-05-24 Han Wu , Stefan Wager

Markov Decision Processes (MDPs) are a mathematical framework for modeling sequential decision making under uncertainty. The classical approaches for solving MDPs are well known and have been widely studied, some of which rely on…

Machine Learning · Computer Science 2018-05-18 Joshua R. Bertram , Xuxi Yang , Peng Wei

Markov decision processes (MDPs) are the defacto frame-work for sequential decision making in the presence ofstochastic uncertainty. A classical optimization criterion forMDPs is to maximize the expected discounted-sum pay-off, which…

Artificial Intelligence · Computer Science 2020-02-28 Tomas Brazdil , Krishnendu Chatterjee , Petr Novotny , Jiri Vahala

A central task in control theory, artificial intelligence, and formal methods is to synthesize reward-maximizing strategies for agents that operate in partially unknown environments. In environments modeled by gray-box Markov decision…

Machine Learning · Computer Science 2023-04-25 Christel Baier , Clemens Dubslaff , Patrick Wienhöft , Stefan J. Kiebel

Information is often stored in a distributed and proprietary form, and agents who own information are often self-interested and require incentives to reveal their information. Suitable mechanisms are required to elicit and aggregate such…

Multiagent Systems · Computer Science 2022-12-02 Wenlong Wang , Thomas Pfeiffer

Delays and stochasticity have both served as crucially valuable ingredients in mathematical descriptions of control, physical, and biological systems. In this work, we investigate how explicitly dynamical stochasticity in delays modulates…

Molecular Networks · Quantitative Biology 2023-07-10 Bhargav R. Karamched , Christopher E. Miles

For traffic routing platforms, the choice of which route to recommend to a user depends on the congestion on these routes -- indeed, an individual's utility depends on the number of people using the recommended route at that instance.…

Machine Learning · Computer Science 2023-01-24 Pranjal Awasthi , Kush Bhatia , Sreenivas Gollapudi , Kostas Kollias

In this paper, we provide a general framework for studying multi-agent online learning problems in the presence of delays and asynchronicities. Specifically, we propose and analyze a class of adaptive dual averaging schemes in which agents…

Machine Learning · Computer Science 2022-04-19 Yu-Guan Hsieh , Franck Iutzeler , Jérôme Malick , Panayotis Mertikopoulos

Recommender systems are a ubiquitous feature of online platforms. Increasingly, they are explicitly tasked with increasing users' long-term satisfaction. In this context, we study a content exploration task, which we formalize as a…

Machine Learning · Computer Science 2023-07-21 Thomas M. McDonald , Lucas Maystre , Mounia Lalmas , Daniel Russo , Kamil Ciosek

We consider a class of optimization problems over stochastic variables where the algorithm can learn information about the value of any variable through a series of costly steps; we model this information acquisition process as a Markov…

Data Structures and Algorithms · Computer Science 2025-07-25 Shuchi Chawla , Dimitris Christou , Amit Harlev , Ziv Scully

In the reinforcement learning literature, there are many algorithms developed for either Contextual Bandit (CB) or Markov Decision Processes (MDP) environments. However, when deploying reinforcement learning algorithms in the real world,…

Machine Learning · Computer Science 2022-08-02 Kelly W. Zhang , Omer Gottesman , Finale Doshi-Velez

Machine Learning (ML) models are increasingly used to support or substitute decision making. In applications where skilled experts are a limited resource, it is crucial to reduce their burden and automate decisions when the performance of…

Machine Learning · Computer Science 2024-10-01 Mirabel Reid , Tom Sühr , Claire Vernade , Samira Samadi
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