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We consider the problem of fitting a reinforcement learning (RL) model to some given behavioral data under a multi-armed bandit environment. These models have received much attention in recent years for characterizing human and animal…

计算工程、金融与科学 · 计算机科学 2026-03-27 Hao Zhu , Jasper Hoffmann , Baohe Zhang , Joschka Boedecker

We study contextual bandit learning with an abstract policy class and continuous action space. We obtain two qualitatively different regret bounds: one competes with a smoothed version of the policy class under no continuity assumptions,…

机器学习 · 统计学 2020-06-23 Akshay Krishnamurthy , John Langford , Aleksandrs Slivkins , Chicheng Zhang

We consider the setup of stochastic multi-armed bandits in the case when reward distributions are piecewise i.i.d. and bounded with unknown changepoints. We focus on the case when changes happen simultaneously on all arms, and in stark…

机器学习 · 计算机科学 2019-06-10 Subhojyoti Mukherjee , Odalric-Ambrym Maillard

We analyze and evaluate an online gradient descent algorithm with adaptive per-coordinate adjustment of learning rates. Our algorithm can be thought of as an online version of batch gradient descent with a diagonal preconditioner. This…

机器学习 · 计算机科学 2010-02-26 Matthew Streeter , H. Brendan McMahan

In this paper, online convex optimization is applied to the problem of controlling linear dynamical systems. An algorithm similar to online gradient descent, which can handle time-varying and unknown cost functions, is proposed. Then,…

最优化与控制 · 数学 2021-11-03 Marko Nonhoff , Matthias A. Müller

To deal with changing environments, a new performance measure -- adaptive regret, defined as the maximum static regret over any interval, was proposed in online learning. Under the setting of online convex optimization, several algorithms…

机器学习 · 计算机科学 2021-05-17 Lijun Zhang , Guanghui Wang , Wei-Wei Tu , Zhi-Hua Zhou

In this book, I introduce the basic concepts of Online Learning through the modern view of Online Convex Optimization. Here, online learning refers to the framework of regret minimization under worst-case assumptions. I present first-order…

机器学习 · 计算机科学 2026-04-28 Francesco Orabona

We consider the problem of learning in single-player and multiplayer multiarmed bandit models. Bandit problems are classes of online learning problems that capture exploration versus exploitation tradeoffs. In a multiarmed bandit model,…

机器学习 · 统计学 2016-12-02 Naumaan Nayyar , Dileep Kalathil , Rahul Jain

In this paper, we develop a novel virtual-queue-based online algorithm for online convex optimization (OCO) problems with long-term and time-varying constraints and conduct a performance analysis with respect to the dynamic regret and…

最优化与控制 · 数学 2021-11-16 Qingsong Liu , Wenfei Wu , Longbo Huang , Zhixuan Fang

Adapting to a priori unknown noise level is a very important but challenging problem in sequential decision-making as efficient exploration typically requires knowledge of the noise level, which is often loosely specified. We report…

机器学习 · 统计学 2024-06-11 Kwang-Sung Jun , Jungtaek Kim

To deal with complicated constraints via locally light computations in distributed online learning, a recent study has presented a projection-free algorithm called distributed online conditional gradient (D-OCG), and achieved an…

机器学习 · 计算机科学 2022-06-15 Yuanyu Wan , Guanghui Wang , Wei-Wei Tu , Lijun Zhang

A contextual bandit problem is studied in a highly non-stationary environment, which is ubiquitous in various recommender systems due to the time-varying interests of users. Two models with disjoint and hybrid payoffs are considered to…

机器学习 · 计算机科学 2020-03-03 Xiao Xu , Fang Dong , Yanghua Li , Shaojian He , Xin Li

We study a time-varying Bayesian optimization problem with bandit feedback, where the reward function belongs to a Reproducing Kernel Hilbert Space (RKHS). We approach the problem via an upper-confidence bound Gaussian Process algorithm,…

最优化与控制 · 数学 2025-10-27 Eliabelle Mauduit , Eloïse Berthier , Andrea Simonetto

In decision-making problems such as the multi-armed bandit, an agent learns sequentially by optimizing a certain feedback. While the mean reward criterion has been extensively studied, other measures that reflect an aversion to adverse…

机器学习 · 统计学 2023-03-28 Patrick Saux , Odalric-Ambrym Maillard

This paper considers the problem of online trajectory design under time-varying environments. We formulate the general trajectory optimization problem within the framework of time-varying constrained convex optimization and proposed a novel…

最优化与控制 · 数学 2020-01-09 Mohan Krishna Nutalapati , Amrit Singh Bedi , Ketan Rajawat , Marceau Coupechoux

In this paper, we revisit the online non-monotone continuous DR-submodular maximization problem over a down-closed convex set, which finds wide real-world applications in the domain of machine learning, economics, and operations research.…

机器学习 · 计算机科学 2022-08-17 Qixin Zhang , Zengde Deng , Zaiyi Chen , Kuangqi Zhou , Haoyuan Hu , Yu Yang

In stochastic contextual bandits, an agent sequentially makes actions from a time-dependent action set based on past experience to minimize the cumulative regret. Like many other machine learning algorithms, the performance of bandits…

机器学习 · 计算机科学 2024-04-09 Yue Kang , Cho-Jui Hsieh , Thomas C. M. Lee

A constrained version of the online convex optimization (OCO) problem is considered. With slotted time, for each slot, first an action is chosen. Subsequently the loss function and the constraint violation penalty evaluated at the chosen…

机器学习 · 计算机科学 2023-01-25 Rahul Vaze

Designing efficient general-purpose contextual bandit algorithms that work with large -- or even continuous -- action spaces would facilitate application to important scenarios such as information retrieval, recommendation systems, and…

机器学习 · 计算机科学 2022-07-14 Yinglun Zhu , Paul Mineiro

The dueling bandit is a learning framework wherein the feedback information in the learning process is restricted to a noisy comparison between a pair of actions. In this research, we address a dueling bandit problem based on a cost…

机器学习 · 统计学 2017-12-13 Wataru Kumagai