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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

This paper studies the adversarial graphical contextual bandits, a variant of adversarial multi-armed bandits that leverage two categories of the most common side information: \emph{contexts} and \emph{side observations}. In this setting, a…

机器学习 · 计算机科学 2021-02-18 Lingda Wang , Bingcong Li , Huozhi Zhou , Georgios B. Giannakis , Lav R. Varshney , Zhizhen Zhao

Learning causal relationships between variables is a fundamental task in causal inference and directed acyclic graphs (DAGs) are a popular choice to represent the causal relationships. As one can recover a causal graph only up to its Markov…

机器学习 · 计算机科学 2024-02-14 Davin Choo , Kirankumar Shiragur

In sparse linear bandits, a learning agent sequentially selects an action and receive reward feedback, and the reward function depends linearly on a few coordinates of the covariates of the actions. This has applications in many real-world…

机器学习 · 统计学 2023-11-21 Kyoungseok Jang , Chicheng Zhang , Kwang-Sung Jun

Dueling bandits are widely used to model preferential feedback prevalent in many applications such as recommendation systems and ranking. In this paper, we study the Borda regret minimization problem for dueling bandits, which aims to…

机器学习 · 计算机科学 2023-09-27 Yue Wu , Tao Jin , Hao Lou , Farzad Farnoud , Quanquan Gu

Most bandit algorithm designs are purely theoretical. Therefore, they have strong regret guarantees, but also are often too conservative in practice. In this work, we pioneer the idea of algorithm design by minimizing the empirical Bayes…

机器学习 · 计算机科学 2020-06-12 Chih-Wei Hsu , Branislav Kveton , Ofer Meshi , Martin Mladenov , Csaba Szepesvari

Partial monitoring is an expressive framework for sequential decision-making with an abundance of applications, including graph-structured and dueling bandits, dynamic pricing and transductive feedback models. We survey and extend recent…

机器学习 · 计算机科学 2023-11-15 Johannes Kirschner , Tor Lattimore , Andreas Krause

Sequential decision-making under uncertainty is often associated with long feedback delays. Such delays degrade the performance of the learning agent in identifying a subset of arms with the optimal collective reward in the long run. This…

机器学习 · 计算机科学 2023-07-19 Saeed Ghoorchian , Setareh Maghsudi

Contextual multi-armed bandits are a popular choice to model sequential decision-making. E.g., in a healthcare application we may perform various tests to asses a patient condition (exploration) and then decide on the best treatment to give…

机器学习 · 计算机科学 2025-04-08 Mirco Mutti , Jeongyeol Kwon , Shie Mannor , Aviv Tamar

Recent growing adoption of experimentation in practice has led to a surge of attention to multiarmed bandits as a technique to reduce the opportunity cost of online experiments. In this setting, a decision-maker sequentially chooses among a…

机器学习 · 计算机科学 2022-04-04 Nima Hamidi , Mohsen Bayati

A new causal discovery method, Structural Agnostic Modeling (SAM), is presented in this paper. Leveraging both conditional independencies and distributional asymmetries, SAM aims to find the underlying causal structure from observational…

机器学习 · 统计学 2022-07-26 Diviyan Kalainathan , Olivier Goudet , Isabelle Guyon , David Lopez-Paz , Michèle Sebag

This paper is motivated by recent research in the $d$-dimensional stochastic linear bandit literature, which has revealed an unsettling discrepancy: algorithms like Thompson sampling and Greedy demonstrate promising empirical performance,…

机器学习 · 计算机科学 2025-05-20 Yuwei Luo , Mohsen Bayati

The analysis of online least squares estimation is at the heart of many stochastic sequential decision making problems. We employ tools from the self-normalized processes to provide a simple and self-contained proof of a tail bound of a…

人工智能 · 计算机科学 2011-02-15 Yasin Abbasi-Yadkori , David Pal , Csaba Szepesvari

Bandit algorithms sequentially accumulate data using adaptive sampling policies, offering flexibility for real-world applications. However, excessive sampling can be costly, motivating the devolopment of early stopping methods and reliable…

统计理论 · 数学 2025-02-06 Zihan Cui

We consider the adversarial linear contextual bandit problem, where the loss vectors are selected fully adversarially and the per-round action set (i.e. the context) is drawn from a fixed distribution. Existing methods for this problem…

机器学习 · 计算机科学 2023-09-06 Haolin Liu , Chen-Yu Wei , Julian Zimmert

Contextual bandits are a central framework for sequential decision-making, with applications ranging from recommendation systems to clinical trials. While nonparametric methods can flexibly model complex reward structures, they suffer from…

统计理论 · 数学 2026-01-01 Wanteng Ma , T. Tony Cai

We study a nonparametric contextual bandit problem where the expected reward functions belong to a H\"older class with smoothness parameter $\beta$. We show how this interpolates between two extremes that were previously studied in…

机器学习 · 统计学 2020-09-14 Yichun Hu , Nathan Kallus , Xiaojie Mao

Motivated by models of human decision making proposed to explain commonly observed deviations from conventional expected value preferences, we formulate two stochastic multi-armed bandit problems with distorted probabilities on the reward…

机器学习 · 计算机科学 2023-11-01 Ravi Kumar Kolla , Prashanth L. A. , Aditya Gopalan , Krishna Jagannathan , Michael Fu , Steve Marcus

A fundamental challenge in the empirical sciences involves uncovering causal structure through observation and experimentation. Causal discovery entails linking the conditional independence (CI) invariances in observational data to their…

机器学习 · 统计学 2025-11-04 Zihan Zhou , Muhammad Qasim Elahi , Murat Kocaoglu

We study the stochastic linear bandit problem with multiple arms over $T$ rounds, where the covariate dimension $d$ may exceed $T$, but each arm-specific parameter vector is $s$-sparse. We begin by analyzing the sequential estimation…

统计理论 · 数学 2025-05-26 Jingyu Liu , Yanglei Song