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Non-stationary parametric bandits have attracted much attention recently. There are three principled ways to deal with non-stationarity, including sliding-window, weighted, and restart strategies. As many non-stationary environments exhibit…

机器学习 · 计算机科学 2023-06-08 Jing Wang , Peng Zhao , Zhi-Hua Zhou

Generalized Linear Bandits (GLBs) are powerful extensions to the Linear Bandit (LB) setting, broadening the benefits of reward parametrization beyond linearity. In this paper we study GLBs in non-stationary environments, characterized by a…

机器学习 · 计算机科学 2021-03-11 Louis Faury , Yoan Russac , Marc Abeille , Clément Calauzènes

This paper investigates the problem of non-stationary linear bandits, where the unknown regression parameter is evolving over time. Existing studies develop various algorithms and show that they enjoy an…

机器学习 · 计算机科学 2021-12-23 Peng Zhao , Lijun Zhang , Yuan Jiang , Zhi-Hua Zhou

We study nonstationary generalized linear bandits (GLBs), where the expected reward is modeled through a nonlinear link function with an unknown time-varying parameter. This framework encompasses a broad class of reward models, including…

机器学习 · 统计学 2026-05-26 Joongkyu Lee , Min-hwan Oh

We investigate the non-stationary stochastic linear bandit problem where the reward distribution evolves each round. Existing algorithms characterize the non-stationarity by the total variation budget $B_K$, which is the summation of the…

机器学习 · 计算机科学 2024-03-19 Zhiyong Wang , Jize Xie , Yi Chen , John C. S. Lui , Dongruo Zhou

In this paper, we study the MNL-Bandit problem in a non-stationary environment and present an algorithm with a worst-case expected regret of $\tilde{O}\left( \min \left\{ \sqrt{NTL}\;,\; N^{\frac{1}{3}}(\Delta_{\infty}^{K})^{\frac{1}{3}}…

机器学习 · 计算机科学 2023-06-05 Ayoub Foussoul , Vineet Goyal , Varun Gupta

Most contextual bandit algorithms minimize regret against the best fixed policy, a questionable benchmark for non-stationary environments that are ubiquitous in applications. In this work, we develop several efficient contextual bandit…

机器学习 · 计算机科学 2019-04-05 Haipeng Luo , Chen-Yu Wei , Alekh Agarwal , John Langford

Recently, several studies (Zhou et al., 2021a; Zhang et al., 2021b; Kim et al., 2021; Zhou and Gu, 2022) have provided variance-dependent regret bounds for linear contextual bandits, which interpolates the regret for the worst-case regime…

机器学习 · 计算机科学 2023-02-22 Heyang Zhao , Jiafan He , Dongruo Zhou , Tong Zhang , Quanquan Gu

Bandit algorithms have been predominantly analyzed in the convex setting with function-value based stationary regret as the performance measure. In this paper, motivated by online reinforcement learning problems, we propose and analyze…

机器学习 · 统计学 2019-09-12 Abhishek Roy , Krishnakumar Balasubramanian , Saeed Ghadimi , Prasant Mohapatra

We study the multi-armed bandit problem where the rewards are realizations of general non-stationary stochastic processes, a setting that generalizes many existing lines of work and analyses. In particular, we present a theoretical analysis…

机器学习 · 计算机科学 2020-09-04 Corinna Cortes , Giulia DeSalvo , Vitaly Kuznetsov , Mehryar Mohri , Scott Yang

The statistical framework of Generalized Linear Models (GLM) can be applied to sequential problems involving categorical or ordinal rewards associated, for instance, with clicks, likes or ratings. In the example of binary rewards, logistic…

机器学习 · 计算机科学 2020-03-24 Yoan Russac , Olivier Cappé , Aurélien Garivier

We study the generalized linear bandit (GLB) problem, a contextual multi-armed bandit framework that extends the classical linear model by incorporating a non-linear link function, thereby modeling a broad class of reward distributions such…

机器学习 · 计算机科学 2025-10-31 Yu-Jie Zhang , Sheng-An Xu , Peng Zhao , Masashi Sugiyama

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…

机器学习 · 计算机科学 2022-10-13 Orestis Papadigenopoulos , Constantine Caramanis , Sanjay Shakkottai

Non-stationary multi-armed bandits enable agents to adapt to changing environments by incorporating mechanisms to detect and respond to shifts in reward distributions, making them well-suited for dynamic settings. However, existing…

机器学习 · 计算机科学 2025-09-19 Shaoang Li , Jian Li

We introduce algorithms that achieve state-of-the-art \emph{dynamic regret} bounds for non-stationary linear stochastic bandit setting. It captures natural applications such as dynamic pricing and ads allocation in a changing environment.…

机器学习 · 计算机科学 2021-07-20 Wang Chi Cheung , David Simchi-Levi , Ruihao Zhu

Online restless multi-armed bandits (RMABs) typically assume that each arm follows a stationary Markov Decision Process (MDP) with fixed state transitions and rewards. However, in real-world applications like healthcare and recommendation…

机器学习 · 计算机科学 2025-08-15 Yu-Heng Hung , Ping-Chun Hsieh , Kai Wang

Contextual sequential decision problems with categorical or numerical observations are ubiquitous and Generalized Linear Bandits (GLB) offer a solid theoretical framework to address them. In contrast to the case of linear bandits, existing…

机器学习 · 计算机科学 2021-03-05 Yoan Russac , Louis Faury , Olivier Cappé , Aurélien Garivier

We study the non-stationary dueling bandits problem with $K$ arms, where the time horizon $T$ consists of $M$ stationary segments, each of which is associated with its own preference matrix. The learner repeatedly selects a pair of arms and…

机器学习 · 计算机科学 2022-02-03 Patrick Kolpaczki , Viktor Bengs , Eyke Hüllermeier

The multi-armed bandits' framework is the most common platform to study strategies for sequential decision-making problems. Recently, the notion of fairness has attracted a lot of attention in the machine learning community. One can impose…

机器学习 · 计算机科学 2020-12-25 Shaarad A. R , Ambedkar Dukkipati

Logistic Bandits have recently attracted substantial attention, by providing an uncluttered yet challenging framework for understanding the impact of non-linearity in parametrized bandits. It was shown by Faury et al. (2020) that the…

机器学习 · 计算机科学 2021-03-10 Marc Abeille , Louis Faury , Clément Calauzènes
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