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We study the multinomial logit (MNL) contextual bandit problem for sequential assortment selection. Although most existing research assumes utility functions to be linear in item features, this linearity assumption restricts the modeling of…

机器学习 · 计算机科学 2026-01-13 Taehyun Hwang , Dahngoon Kim , Min-hwan Oh

We address the problem of learning in an online setting where the learner repeatedly observes features, selects among a set of actions, and receives reward for the action taken. We provide the first efficient algorithm with an optimal…

机器学习 · 计算机科学 2011-06-17 Miroslav Dudik , Daniel Hsu , Satyen Kale , Nikos Karampatziakis , John Langford , Lev Reyzin , Tong Zhang

We study the problem of corralling stochastic bandit algorithms, that is combining multiple bandit algorithms designed for a stochastic environment, with the goal of devising a corralling algorithm that performs almost as well as the best…

机器学习 · 计算机科学 2021-03-02 Raman Arora , Teodor V. Marinov , Mehryar Mohri

In this study, we propose a new method for constructing UCB-type algorithms for stochastic multi-armed bandits based on general convex optimization methods with an inexact oracle. We derive the regret bounds corresponding to the convergence…

机器学习 · 计算机科学 2024-02-13 Yuriy Dorn , Aleksandr Katrutsa , Ilgam Latypov , Andrey Pudovikov

As reinforcement learning algorithms are being applied to increasingly complicated and realistic tasks, it is becoming increasingly difficult to solve such problems within a practical time frame. Hence, we focus on a \textit{satisficing}…

人工智能 · 计算机科学 2025-04-16 Akihiro Tamatsukuri , Tatsuji Takahashi

We consider the problem of online linear regression in the stochastic setting. We derive high probability regret bounds for online ridge regression and the forward algorithm. This enables us to compare online regression algorithms more…

机器学习 · 计算机科学 2021-11-03 Reda Ouhamma , Odalric Maillard , Vianney Perchet

We study the problem of representation learning in stochastic contextual linear bandits. While the primary concern in this domain is usually to find realizable representations (i.e., those that allow predicting the reward function at any…

机器学习 · 计算机科学 2022-10-25 Andrea Tirinzoni , Matteo Papini , Ahmed Touati , Alessandro Lazaric , Matteo Pirotta

In many modern applications, a system must dynamically choose between several adaptive learning algorithms that are trained online. Examples include model selection in streaming environments, switching between trading strategies in finance,…

机器学习 · 计算机科学 2026-01-19 Ilgam Latypov , Alexandra Suvorikova , Alexey Kroshnin , Alexander Gasnikov , Yuriy Dorn

Language model (LM) alignment improves model outputs to reflect human preferences while preserving the capabilities of the base model. The most common alignment approaches are (i) reinforcement learning, which maximizes the expected reward…

机器学习 · 计算机科学 2026-05-11 Lucas Monteiro Paes , Natalie Mackraz , Barry-John Theobald , Federico Danieli

Learning good interventions in a causal graph can be modelled as a stochastic multi-armed bandit problem with side-information. First, we study this problem when interventions are more expensive than observations and a budget is specified.…

机器学习 · 计算机科学 2020-12-15 Vineet Nair , Vishakha Patil , Gaurav Sinha

We consider the problem of online learning in Linear Quadratic Control systems whose state transition and state-action transition matrices $A$ and $B$ may be initially unknown. We devise an online learning algorithm and provide guarantees…

机器学习 · 计算机科学 2021-09-30 Yassir Jedra , Alexandre Proutiere

This paper proposes a linear bandit algorithm that is adaptive to environments at two different levels of hierarchy. At the higher level, the proposed algorithm adapts to a variety of types of environments. More precisely, it achieves…

机器学习 · 计算机科学 2023-02-27 Shinji Ito , Kei Takemura

We study the challenging exploration incentive problem in both bandit and reinforcement learning, where the rewards are scale-free and potentially unbounded, driven by real-world scenarios and differing from existing work. Past works in…

机器学习 · 计算机科学 2024-05-07 Mengfan Xu , Diego Klabjan

In this paper, we analyze the problem of online convex optimization in different settings, including different feedback types (full-information/semi-bandit/bandit/etc) in either stochastic or non-stochastic setting and different notions of…

机器学习 · 计算机科学 2026-02-23 Mohammad Pedramfar , Vaneet Aggarwal

We propose an algorithmic framework, Offline Estimation to Decisions (OE2D), that reduces contextual bandit learning with general reward function approximation to offline regression. The framework allows near-optimal regret for contextual…

机器学习 · 计算机科学 2026-02-11 Hao Qin , Chicheng Zhang

We obtain essentially tight upper bounds for a strengthened notion of regret in the stochastic linear bandits framework. The strengthening -- referred to as Nash regret -- is defined as the difference between the (a priori unknown) optimum…

机器学习 · 计算机科学 2023-10-04 Ayush Sawarni , Soumybrata Pal , Siddharth Barman

We study how to make decisions that minimize Bayesian regret in offline linear bandits. Prior work suggests that one must take actions with maximum lower confidence bound (LCB) on their reward. We argue that the reliance on LCB is…

机器学习 · 计算机科学 2024-07-04 Marek Petrik , Guy Tennenholtz , Mohammad Ghavamzadeh

Best-of-both-worlds algorithms for online learning which achieve near-optimal regret in both the adversarial and the stochastic regimes have received growing attention recently. Existing techniques often require careful adaptation to every…

机器学习 · 计算机科学 2023-02-21 Christoph Dann , Chen-Yu Wei , Julian Zimmert

We consider the problem of online learning in misspecified linear stochastic multi-armed bandit problems. Regret guarantees for state-of-the-art linear bandit algorithms such as Optimism in the Face of Uncertainty Linear bandit (OFUL) hold…

机器学习 · 计算机科学 2017-04-25 Avishek Ghosh , Sayak Ray Chowdhury , Aditya Gopalan

In the regret-based formulation of Multi-armed Bandit (MAB) problems, except in rare instances, much of the literature focuses on arms with i.i.d. rewards. In this paper, we consider the problem of obtaining regret guarantees for MAB…

机器学习 · 计算机科学 2022-10-11 Arghyadip Roy , Sanjay Shakkottai , R. Srikant
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