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Several epidemiological studies have provided evidence that long-term exposure to fine particulate matter (PM2.5) increases mortality risk. Furthermore, some population characteristics (e.g., age, race, and socioeconomic status) might play…

统计方法学 · 统计学 2023-11-01 Dafne Zorzetto , Falco J. Bargagli-Stoffi , Antonio Canale , Francesca Dominici

The Gaussian process (GP) regression model is a widely employed surrogate modeling technique for computer experiments, offering precise predictions and statistical inference for the computer simulators that generate experimental data.…

统计方法学 · 统计学 2024-04-02 Lulu Kang , Yuanxing Cheng , Yiwei Wang , Chun Liu

When exposure measurement error (EME), confounder measurement error (CME), or both are present, health effect estimates regarding exposure mixtures and critical exposure time-window may not represent the true effects. For example, in air…

统计理论 · 数学 2025-05-28 Honghyok Kim

Survivors of childhood cancer need lifelong monitoring for side effects from radiotherapy. However, longitudinal data from routine monitoring is often infrequently and irregularly sampled, and subject to inaccuracies. Due to this,…

A Bayesian multiple change-point model is proposed to analyse violations of air quality standards by pollutants such as nitrogen oxides (NO2 and NO) and carbon monoxide (CO). The model is built on the assumption that the occurrence of…

应用统计 · 统计学 2010-12-10 Janos Gyarmati-Szabo , Leonid V. Bogachev , Haibo Chen

Estimating the joint effect of a multivariate, continuous exposure is crucial, particularly in environmental health where interest lies in simultaneously evaluating the impact of multiple environmental pollutants on health. We develop novel…

统计方法学 · 统计学 2025-01-06 Heejun Shin , Antonio Linero , Michelle Audirac , Kezia Irene , Danielle Braun , Joseph Antonelli

Predicated on the increasing abundance of electronic health records, we investi- gate the problem of inferring individualized treatment effects using observational data. Stemming from the potential outcomes model, we propose a novel multi-…

机器学习 · 计算机科学 2017-05-30 Ahmed M. Alaa , Mihaela van der Schaar

Uncertainty quantification is central to many applications of causal machine learning, yet principled Bayesian inference for causal effects remains challenging. Standard Bayesian approaches typically require specifying a probabilistic model…

机器学习 · 统计学 2026-03-04 Emil Javurek , Dennis Frauen , Yuxin Wang , Stefan Feuerriegel

We present a novel approach for the analysis of multivariate case-control georeferenced data using Bayesian inference in the context of disease mapping, where the spatial distribution of different types of cancers is analyzed. Extending…

Bayesian approaches have become increasingly popular in causal inference problems due to their conceptual simplicity, excellent performance and in-built uncertainty quantification ('posterior credible sets'). We investigate Bayesian…

机器学习 · 统计学 2019-09-27 Kolyan Ray , Botond Szabo

We present Causal Posterior Estimation (CPE), a novel method for Bayesian inference in simulator models, i.e., models where the evaluation of the likelihood function is intractable or too computationally expensive, but where one can…

机器学习 · 计算机科学 2025-05-28 Simon Dirmeier , Antonietta Mira

The stringent regulatory requirements on nitrogen oxides (NOx) emissions from diesel compression ignition engines require accurate and reliable models for real time monitoring and diagnostics. Although traditional methods such as physical…

机器学习 · 计算机科学 2026-02-26 Shrenik Zinage , Ilias Bilionis , Peter Meckl

A powerful tool for the analysis of nonrandomized observational studies has been the potential outcomes model. Utilization of this framework allows analysts to estimate average treatment effects. This article considers the situation in…

统计理论 · 数学 2019-05-31 Debashis Ghosh , Efrén Cruz-Cortés

The proximal causal inference framework enables the identification and estimation of causal effects in the presence of unmeasured confounding by leveraging two disjoint sets of observed strong proxies: negative control treatments and…

统计方法学 · 统计学 2025-12-16 Antonio Olivas-Martinez , Peter B. Gilbert , Andrea Rotnitzky

The Gaussian process (GP) is a widely used probabilistic machine learning method with implicit uncertainty characterization for stochastic function approximation, stochastic modeling, and analyzing real-world measurements of nonlinear…

机器学习 · 统计学 2026-04-14 Mark D. Risser , Marcus M. Noack , Hengrui Luo , Ronald Pandolfi

Although understanding and characterizing causal effects have become essential in observational studies, it is challenging when the confounders are high-dimensional. In this article, we develop a general framework $\textit{CausalEGM}$ for…

机器学习 · 统计学 2023-03-20 Qiao Liu , Zhongren Chen , Wing Hung Wong

In decision-making systems, it is important to have classifiers that have calibrated uncertainties, with an optimisation objective that can be used for automated model selection and training. Gaussian processes (GPs) provide uncertainty…

机器学习 · 统计学 2020-03-05 Vincent Dutordoir , Mark van der Wilk , Artem Artemev , James Hensman

Analysts often use data-driven approaches to supplement their substantive knowledge when selecting covariates for causal effect estimation. Multiple variable selection procedures tailored for causal effect estimation have been devised in…

统计方法学 · 统计学 2020-03-27 Denis Talbot , Claudia Beaudoin

In many environmental applications involving spatially-referenced data, limitations on the number and locations of observations motivate the need for practical and efficient models for spatial interpolation, or kriging. A key component of…

统计方法学 · 统计学 2015-09-15 Mark D. Risser , Catherine A. Calder

Gaussian process (GP) covariance function is proposed as a matching tool in GPMatch within a full Bayesian framework under relatively weaker causal assumptions. The matching is accomplished by utilizing GP prior covariance function to…

统计方法学 · 统计学 2019-03-18 Bin Huang , Chen Chen , Jinzhong Liu