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Optimal regret bounds for Multi-Armed Bandit problems are now well documented. They can be classified into two categories based on the growth rate with respect to the time horizon $T$: (i) small, distribution-dependent, bounds of order of…

数据结构与算法 · 计算机科学 2017-04-12 Arthur Flajolet , Patrick Jaillet

We design and implement an adaptive experiment (a ``contextual bandit'') to learn a targeted treatment assignment policy, where the goal is to use a participant's survey responses to determine which charity to expose them to in a donation…

While contextual bandit has a mature theory, effectively leveraging different feedback patterns to enhance the pace of learning remains unclear. Bandits with feedback graphs, which interpolates between the full information and bandit…

机器学习 · 计算机科学 2023-10-30 Mengxiao Zhang , Yuheng Zhang , Olga Vrousgou , Haipeng Luo , Paul Mineiro

In this work, we develop linear bandit algorithms that automatically adapt to different environments. By plugging a novel loss estimator into the optimization problem that characterizes the instance-optimal strategy, our first algorithm not…

机器学习 · 计算机科学 2021-06-15 Chung-Wei Lee , Haipeng Luo , Chen-Yu Wei , Mengxiao Zhang , Xiaojin Zhang

We introduce data-driven decision-making algorithms that achieve state-of-the-art \emph{dynamic regret} bounds for non-stationary bandit settings. These settings capture applications such as advertisement allocation, dynamic pricing, and…

机器学习 · 计算机科学 2021-03-19 Wang Chi Cheung , David Simchi-Levi , Ruihao Zhu

In the bandits with knapsacks framework (BwK) the learner has $m$ resource-consumption (packing) constraints. We focus on the generalization of BwK in which the learner has a set of general long-term constraints. The goal of the learner is…

机器学习 · 计算机科学 2024-05-13 Martino Bernasconi , Matteo Castiglioni , Andrea Celli

In $K$-armed dueling bandits, the learner receives preference feedback between arms, and the regret of an arm is defined in terms of its suboptimality to a $\textit{winner}$ arm. The $\textit{non-stationary}$ variant of the problem,…

机器学习 · 计算机科学 2024-10-01 Joe Suk , Arpit Agarwal

Modern systems, such as digital platforms and service systems, increasingly rely on contextual bandits for online decision-making; however, their deployment can inadvertently create unfair exposure among arms, undermining long-term platform…

机器学习 · 统计学 2026-02-05 Qingwen Zhang , Wenjia Wang

Contextual bandits are a rich model for sequential decision making given side information, with important applications, e.g., in recommender systems. We propose novel algorithms for contextual bandits harnessing neural networks to…

机器学习 · 统计学 2022-03-01 Parnian Kassraie , Andreas Krause

We consider the linear contextual multi-class multi-period packing problem (LMMP) where the goal is to pack items such that the total vector of consumption is below a given budget vector and the total value is as large as possible. We…

机器学习 · 统计学 2023-06-02 Wonyoung Kim , Garud Iyengar , Assaf Zeevi

Motivated by the principle of satisficing in decision-making, we study satisficing regret guarantees for nonstationary $K$-armed bandits. We show that in the general realizable, piecewise-stationary setting with $L$ stationary segments, the…

机器学习 · 统计学 2026-04-28 Yixuan Zhang , Ruihao Zhu , Qiaomin Xie

Computationally efficient contextual bandits are often based on estimating a predictive model of rewards given contexts and arms using past data. However, when the reward model is not well-specified, the bandit algorithm may incur…

机器学习 · 计算机科学 2021-06-14 Sanath Kumar Krishnamurthy , Vitor Hadad , Susan Athey

In a typical stochastic multi-armed bandit problem, the objective is often to maximize the expected sum of rewards over some time horizon $T$. While the choice of a strategy that accomplishes that is optimal with no additional information,…

机器学习 · 计算机科学 2023-11-01 Reda Alami , Mohammed Mahfoud , Mastane Achab

We consider a novel variant of the contextual bandit problem (i.e., the multi-armed bandit with side-information, or context, available to a decision-maker) where the reward associated with each context-based decision may not always be…

机器学习 · 计算机科学 2020-07-21 Djallel Bouneffouf , Sohini Upadhyay , Yasaman Khazaeni

We study the linear contextual bandit problem in the presence of adversarial corruption, where the interaction between the player and a possibly infinite decision set is contaminated by an adversary that can corrupt the reward up to a…

机器学习 · 计算机科学 2021-10-26 Heyang Zhao , Dongruo Zhou , Quanquan Gu

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

Typical contextual bandit algorithms assume that the rewards at each round lie in some fixed range $[0, R]$, and their regret scales polynomially with this reward range $R$. However, many practical scenarios naturally involve heavy-tailed…

机器学习 · 统计学 2025-02-05 Chenlu Ye , Yujia Jin , Alekh Agarwal , Tong Zhang

We study the problem of expert advice under partial bandit feedback setting and create a sequential minimax optimal algorithm. Our algorithm works with a more general partial monitoring setting, where, in contrast to the classical bandit…

机器学习 · 计算机科学 2022-04-15 Kaan Gokcesu , Hakan Gokcesu

In this paper, we analyze the continuous armed bandit problems for nonconvex cost functions under certain smoothness and sublevel set assumptions. We first derive an upper bound on the expected cumulative regret of a simple bin splitting…

机器学习 · 计算机科学 2021-03-31 Puning Zhao , Lifeng Lai

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 2026-01-06 Jing Wang , Peng Zhao , Zhi-Hua Zhou