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In this paper, we consider the time-varying Bayesian optimization problem. The unknown function at each time is assumed to lie in an RKHS (reproducing kernel Hilbert space) with a bounded norm. We adopt the general variation budget model to…

机器学习 · 计算机科学 2021-05-04 Xingyu Zhou , Ness Shroff

We study the Linear Contextual Bandit problem in the hybrid reward setting. In this setting every arm's reward model contains arm specific parameters in addition to parameters shared across the reward models of all the arms. We can reduce…

机器学习 · 计算机科学 2024-09-05 Nirjhar Das , Gaurav Sinha

We investigate the use of bootstrapping in the bandit setting. We first show that the commonly used non-parametric bootstrapping (NPB) procedure can be provably inefficient and establish a near-linear lower bound on the regret incurred by…

机器学习 · 计算机科学 2018-05-25 Sharan Vaswani , Branislav Kveton , Zheng Wen , Anup Rao , Mark Schmidt , Yasin Abbasi-Yadkori

In this paper, we study the stochastic combinatorial multi-armed bandit (CMAB) framework that allows a general nonlinear reward function, whose expected value may not depend only on the means of the input random variables but possibly on…

机器学习 · 计算机科学 2018-07-23 Wei Chen , Wei Hu , Fu Li , Jian Li , Yu Liu , Pinyan Lu

Bayesian inference allows expressing the uncertainty of posterior belief under a probabilistic model given prior information and the likelihood of the evidence. Predominantly, the likelihood function is only implicitly established by a…

Contextual bandits are widely used in Internet services from news recommendation to advertising, and to Web search. Generalized linear models (logistical regression in particular) have demonstrated stronger performance than linear models in…

机器学习 · 计算机科学 2017-06-20 Lihong Li , Yu Lu , Dengyong Zhou

We provide a unified algorithmic framework for ensemble sampling in nonlinear contextual bandits and develop corresponding regret bounds for two most common nonlinear contextual bandit settings: Generalized Linear Ensemble Sampling (GLM-ES)…

机器学习 · 计算机科学 2026-05-12 Jiazheng Sun , Weixin Wang , Pan Xu

We consider stochastic non-stationary linear bandits where the linear parameter connecting contexts to the reward changes over time. Existing algorithms in this setting localize the policy by gradually discarding or down-weighting past…

机器学习 · 统计学 2026-03-05 Margherita Lazzaretto , Jonas Peters , Niklas Pfister

Contextual multi-armed bandit algorithms are widely used in sequential decision tasks such as news article recommendation systems, web page ad placement algorithms, and mobile health. Most of the existing algorithms have regret proportional…

机器学习 · 统计学 2020-02-14 Gi-Soo Kim , Myunghee Cho Paik

Model misspecification is a major consideration in applications of statistical methods and machine learning. However, it is often neglected in contextual bandits. This paper studies a common form of misspecification, an inter-arm…

机器学习 · 计算机科学 2022-10-27 Rong Zhu , Branislav Kveton

This paper studies semiparametric contextual bandits, a generalization of the linear stochastic bandit problem where the reward for an action is modeled as a linear function of known action features confounded by an non-linear…

机器学习 · 统计学 2018-07-17 Akshay Krishnamurthy , Zhiwei Steven Wu , Vasilis Syrgkanis

This paper studies a non-stationary kernelized bandit (KB) problem, also called time-varying Bayesian optimization, where one seeks to minimize the regret under an unknown reward function that varies over time. In particular, we focus on a…

机器学习 · 计算机科学 2024-10-22 Shogo Iwazaki , Shion Takeno

We consider Bandits with Knapsacks (henceforth, BwK), a general model for multi-armed bandits under supply/budget constraints. In particular, a bandit algorithm needs to solve a well-known knapsack problem: find an optimal packing of items…

数据结构与算法 · 计算机科学 2023-03-08 Nicole Immorlica , Karthik Abinav Sankararaman , Robert Schapire , Aleksandrs Slivkins

This paper presents a new algorithm for neural contextual bandits (CBs) that addresses the challenge of delayed reward feedback, where the reward for a chosen action is revealed after a random, unknown delay. This scenario is common in…

机器学习 · 计算机科学 2025-04-17 Mohammadali Moghimi , Sharu Theresa Jose , Shana Moothedath

Non-stationary multi-armed bandit (NS-MAB) problems have recently received significant attention. NS-MAB are typically modelled in two scenarios: abruptly changing, where reward distributions remain constant for a certain period and change…

机器学习 · 计算机科学 2023-05-23 Han Qi , Yue Wang , Li Zhu

In critical care settings, timely and accurate predictions can significantly impact patient outcomes, especially for conditions like sepsis, where early intervention is crucial. We aim to model patient-specific reward functions in a…

机器学习 · 计算机科学 2025-03-24 Anni Zhou , Raheem Beyah , Rishikesan Kamaleswaran

We develop a meta-learning framework for simple regret minimization in bandits. In this framework, a learning agent interacts with a sequence of bandit tasks, which are sampled i.i.d.\ from an unknown prior distribution, and learns its…

机器学习 · 计算机科学 2023-07-06 Mohammadjavad Azizi , Branislav Kveton , Mohammad Ghavamzadeh , Sumeet Katariya

Bayesian inference allows us to define a posterior distribution over the weights of a generic neural network (NN). Exact posteriors are usually intractable, in which case approximations can be employed. One such approximation - variational…

机器学习 · 计算机科学 2026-01-30 Andrew Millard , Joshua Murphy , Peter Green , Simon Maskell

In this work we revisit two classic high-dimensional online learning problems, namely linear regression and contextual bandits, from the perspective of adversarial robustness. Existing works in algorithmic robust statistics make strong…

机器学习 · 计算机科学 2021-06-14 Sitan Chen , Frederic Koehler , Ankur Moitra , Morris Yau

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