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Autoregressive processes naturally arise in a large variety of real-world scenarios, including stock markets, sales forecasting, weather prediction, advertising, and pricing. When facing a sequential decision-making problem in such a…

In many real-world sequential decision-making problems, an action does not immediately reflect on the feedback and spreads its effects over a long time frame. For instance, in online advertising, investing in a platform produces an…

机器学习 · 计算机科学 2023-05-31 Marco Mussi , Alberto Maria Metelli , Marcello Restelli

Taking advantage of contextual information can potentially boost the performance of recommender systems. In the era of big data, such side information often has several dimensions. Thus, developing decision-making algorithms to cope with…

机器学习 · 计算机科学 2023-07-26 Saeed Ghoorchian , Evgenii Kortukov , Setareh Maghsudi

Variational Bayes (VB) has been used to facilitate the calculation of the posterior distribution in the context of Bayesian inference of the parameters of nonlinear models from data. Previously an analytical formulation of VB has been…

信号处理 · 电气工程与系统科学 2020-07-06 Michael A. Chappell , Martin S. Craig , Mark W. Woolrich

Few Bayesian methods for analyzing high-dimensional sparse survival data provide scalable variable selection, effect estimation and uncertainty quantification. Such methods often either sacrifice uncertainty quantification by computing…

统计方法学 · 统计学 2022-07-06 Michael Komodromos , Eric Aboagye , Marina Evangelou , Sarah Filippi , Kolyan Ray

We investigate the contextual bandits with knapsack (CBwK) problem in a high-dimensional linear setting, where the feature dimension can be very large. Our goal is to harness sparsity to obtain sharper regret guarantees. To this end, we…

机器学习 · 计算机科学 2025-08-05 Wanteng Ma , Dong Xia , Jiashuo Jiang

We consider the multi armed bandit problem in non-stationary environments. Based on the Bayesian method, we propose a variant of Thompson Sampling which can be used in both rested and restless bandit scenarios. Applying discounting to the…

机器学习 · 统计学 2017-08-01 Vishnu Raj , Sheetal Kalyani

We study how to learn optimal interventions sequentially given causal information represented as a causal graph along with associated conditional distributions. Causal modeling is useful in real world problems like online advertisement…

机器学习 · 统计学 2020-06-12 Yangyi Lu , Amirhossein Meisami , Ambuj Tewari , Zhenyu Yan

Stepped wedge cluster randomized trials (SWCRTs) often face challenges with potential confounding by time trends. Traditional frequentist methods can fail to provide adequate coverage of the intervention's true effect using confidence…

统计方法学 · 统计学 2024-02-02 Danni Wu , Hyung G. Park , Corita R. Grudzen , Keith S. Goldfeld

We address the challenge of sequential data-driven decision-making under context distributional uncertainty. This problem arises in numerous real-world scenarios where the learner optimizes black-box objective functions in the presence of…

机器学习 · 计算机科学 2025-03-27 Francesco Micheli , Efe C. Balta , Anastasios Tsiamis , John Lygeros

In stochastic contextual bandit (SCB) problems, an agent selects an action based on certain observed context to maximize the cumulative reward over iterations. Recently there have been a few studies using a deep neural network (DNN) to…

机器学习 · 计算机科学 2021-04-23 Tan Zhu , Guannan Liang , Chunjiang Zhu , Haining Li , Jinbo Bi

Multi-armed bandit problems are considered as a paradigm of the trade-off between exploring the environment to find profitable actions and exploiting what is already known. In the stationary case, the distributions of the rewards do not…

统计理论 · 数学 2008-12-18 Aurélien Garivier , Eric Moulines

We study contextual bandits with budget and time constraints, referred to as constrained contextual bandits.The time and budget constraints significantly complicate the exploration and exploitation tradeoff because they introduce complex…

机器学习 · 计算机科学 2015-10-20 Huasen Wu , R. Srikant , Xin Liu , Chong Jiang

We study the problem of representation learning in stochastic contextual linear bandits. While the primary concern in this domain is usually to find realizable representations (i.e., those that allow predicting the reward function at any…

机器学习 · 计算机科学 2022-10-25 Andrea Tirinzoni , Matteo Papini , Ahmed Touati , Alessandro Lazaric , Matteo Pirotta

Variational Bayesian (VB) methods produce posterior inference in a time frame considerably smaller than traditional Markov Chain Monte Carlo approaches. Although the VB posterior is an approximation, it has been shown to produce good…

统计计算 · 统计学 2019-08-02 Nathaniel Tomasetti , Catherine S. Forbes , Anastasios Panagiotelis

We develop an ultrawideband (UWB) inverse scattering technique for reconstructing continuous random media based on Bayesian compressive sensing. In addition to providing maximum a posteriori estimates of the unknown weights, Bayesian…

数据分析、统计与概率 · 物理学 2014-11-27 A. E. Fouda , F. L. Teixeira

We consider the problem of contextual bandits with stochastic experts, which is a variation of the traditional stochastic contextual bandit with experts problem. In our problem setting, we assume access to a class of stochastic experts,…

机器学习 · 统计学 2021-03-04 Rajat Sen , Karthikeyan Shanmugam , Nihal Sharma , Sanjay Shakkottai

We consider contextual linear bandits over networks, a class of sequential decision-making problems where learning occurs simultaneously across multiple locations and the reward distributions share structural similarities while also…

机器学习 · 计算机科学 2025-08-26 Chuyun Deng , Huiwen Jia

We study a constrained contextual linear bandit setting, where the goal of the agent is to produce a sequence of policies, whose expected cumulative reward over the course of $T$ rounds is maximum, and each has an expected cost below a…

机器学习 · 计算机科学 2020-06-20 Aldo Pacchiano , Mohammad Ghavamzadeh , Peter Bartlett , Heinrich Jiang

Conformal prediction provides distribution-free prediction intervals with finite-sample coverage guarantees, and recent work by Snell \& Griffiths reframes it as Bayesian Quadrature (BQ-CP), yielding powerful data-conditional guarantees via…

机器学习 · 计算机科学 2026-04-09 Xiayin Lou , Peng Luo