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We study a regret minimization problem with the existence of multiple best/near-optimal arms in the multi-armed bandit setting. We consider the case when the number of arms/actions is comparable or much larger than the time horizon, and…

机器学习 · 统计学 2020-10-23 Yinglun Zhu , Robert Nowak

Practical online learning tasks are often naturally defined on unconstrained domains, where optimal algorithms for general convex losses are characterized by the notion of comparator adaptivity. In this paper, we design such algorithms in…

机器学习 · 计算机科学 2022-10-13 Zhiyu Zhang , Ashok Cutkosky , Ioannis Ch. Paschalidis

In this paper, we revisit the problem of smoothed online learning, in which the online learner suffers both a hitting cost and a switching cost, and target two performance metrics: competitive ratio and dynamic regret with switching cost.…

机器学习 · 计算机科学 2021-05-19 Lijun Zhang , Wei Jiang , Shiyin Lu , Tianbao Yang

We study a novel multi-armed bandit problem that models the challenge faced by a company wishing to explore new strategies to maximize revenue whilst simultaneously maintaining their revenue above a fixed baseline, uniformly over time.…

机器学习 · 统计学 2016-02-16 Yifan Wu , Roshan Shariff , Tor Lattimore , Csaba Szepesvári

In this paper, we consider the problem of sleeping bandits with stochastic action sets and adversarial rewards. In this setting, in contrast to most work in bandits, the actions may not be available at all times. For instance, some products…

机器学习 · 计算机科学 2020-08-11 Aadirupa Saha , Pierre Gaillard , Michal Valko

Multi-armed bandits (MAB) are commonly used in sequential online decision-making when the reward of each decision is an unknown random variable. In practice however, the typical goal of maximizing total reward may be less important than…

机器学习 · 计算机科学 2025-12-22 Ishank Juneja , Carlee Joe-Wong , Osman Yağan

We study the problem of nonstochastic bandits with expert advice, extending the setting from finitely many experts to any countably infinite set: A learner aims to maximize the total reward by taking actions sequentially based on bandit…

机器学习 · 计算机科学 2021-03-29 X. Flora Meng , Tuhin Sarkar , Munther A. Dahleh

We study the adversarial multi-armed bandit problem where partial observations are available and where, in addition to the loss incurred for each action, a \emph{switching cost} is incurred for shifting to a new action. All previously known…

机器学习 · 计算机科学 2020-03-24 Raman Arora , Teodor V. Marinov , Mehryar Mohri

We propose the first reduction-based approach to obtaining long-term memory guarantees for online learning in the sense of Bousquet and Warmuth, 2002, by reducing the problem to achieving typical switching regret. Specifically, for the…

机器学习 · 计算机科学 2019-10-29 Kai Zheng , Haipeng Luo , Ilias Diakonikolas , Liwei Wang

Multi-armed bandit (MAB) algorithms have achieved significant success in sequential decision-making applications, under the premise that humans perfectly implement the recommended policy. However, existing methods often overlook the crucial…

机器学习 · 统计学 2024-10-07 Changxiao Cai , Jiacheng Zhang

Classic no-regret multi-armed bandit algorithms, including the Upper Confidence Bound (UCB), Hedge, and EXP3, are inherently unfair by design. Their unfairness stems from their objective of playing the most rewarding arm as frequently as…

机器学习 · 计算机科学 2024-05-14 Abhishek Sinha

A key challenge in online learning is that classical algorithms can be slow to adapt to changing environments. Recent studies have proposed "meta" algorithms that convert any online learning algorithm to one that is adaptive to changing…

机器学习 · 统计学 2017-11-08 Kwang-Sung Jun , Francesco Orabona , Stephen Wright , Rebecca Willett

This work addresses the fundamental problem of unbounded metric movement costs in bandit online convex optimization, by considering high-dimensional dynamic quadratic hitting costs and $\ell_2$-norm switching costs in a noisy bandit…

机器学习 · 计算机科学 2026-01-15 Neelkamal Bhuyan , Debankur Mukherjee , Adam Wierman

We study a multi-armed bandit problem where the rewards exhibit regime switching. Specifically, the distributions of the random rewards generated from all arms are modulated by a common underlying state modeled as a finite-state Markov…

机器学习 · 计算机科学 2021-02-02 Xiang Zhou , Yi Xiong , Ningyuan Chen , Xuefeng Gao

Combinatorial multi-armed bandits provide a fundamental online decision-making environment where a decision-maker interacts with an environment across $T$ time steps, each time selecting an action and learning the cost of that action. The…

机器学习 · 计算机科学 2026-04-13 Gerdus Benadè , Rathish Das , Thomas Lavastida

In this work we consider the problem of regret minimization for logistic bandits. The main challenge of logistic bandits is reducing the dependence on a potentially large problem dependent constant $\kappa$ that can at worst scale…

机器学习 · 统计学 2022-02-08 Blake Mason , Kwang-Sung Jun , Lalit Jain

In online learning, a decision maker repeatedly selects one of a set of actions, with the goal of minimizing the overall loss incurred. Following the recent line of research on algorithms endowed with additional predictive features, we…

The restless bandit problem is one of the most well-studied generalizations of the celebrated stochastic multi-armed bandit problem in decision theory. In its ultimate generality, the restless bandit problem is known to be PSPACE-Hard to…

数据结构与算法 · 计算机科学 2009-02-03 Sudipto Guha , Kamesh Munagala , Peng Shi

We revisit the problem of online learning with sleeping experts/bandits: in each time step, only a subset of the actions are available for the algorithm to choose from (and learn about). The work of Kleinberg et al. (2010) showed that there…

机器学习 · 计算机科学 2021-04-27 Ehsan Emamjomeh-Zadeh , Chen-Yu Wei , Haipeng Luo , David Kempe

This paper studies the impact of limited switches on resource-constrained dynamic pricing with demand learning. We focus on the classical price-based blind network revenue management problem and extend our results to the bandits with…

机器学习 · 计算机科学 2025-09-18 David Simchi-Levi , Yunzong Xu , Jinglong Zhao