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A key challenge in environmental health research is unmeasured spatial confounding, driven by unobserved spatially structured variables that influence both treatment and outcome. A common approach is to fit a spatial regression that models…

统计方法学 · 统计学 2025-12-23 Sophie M. Woodward , Francesca Dominici , Jose R. Zubizarreta

Exposure assessment is fundamental to air pollution cohort studies. The objective is to predict air pollution exposures for study subjects at locations without data in order to optimize our ability to learn about health effects of air…

应用统计 · 统计学 2024-06-05 Si Cheng , Magali N. Blanco , Lianne Sheppard , Ali Shojaie , Adam Szpiro

In federated learning, differences in the data or objectives between the participating nodes motivate approaches to train a personalized machine learning model for each node. One such approach is weighted averaging between a locally trained…

机器学习 · 计算机科学 2021-10-26 Felix Grimberg , Mary-Anne Hartley , Sai P. Karimireddy , Martin Jaggi

Modeling nonstationarity that often prevails in extremal dependence of spatial data can be challenging, and typically requires bespoke or complex spatial models that are difficult to estimate. Inference for stationary and isotropic models…

统计方法学 · 统计学 2026-04-21 Xuanjie Shao , Jordan Richards , Raphael Huser

We extend conformal prediction methodology beyond the case of exchangeable data. In particular, we show that a weighted version of conformal prediction can be used to compute distribution-free prediction intervals for problems in which the…

统计方法学 · 统计学 2020-07-08 Ryan J. Tibshirani , Rina Foygel Barber , Emmanuel J. Candes , Aaditya Ramdas

Precipitation exceedance probabilities are widely used in engineering design, risk assessment, and floodplain management. While common approaches like NOAA Atlas 14 assume that extreme precipitation characteristics are stationary over time,…

应用统计 · 统计学 2025-02-05 Yuchen Lu , Ben Seiyon Lee , James Doss-Gollin

Utilizing the information in observations of a complex system to make accurate predictions through a quantitative model when observations are completed at time $T$, requires an accurate estimate of the full state of the model at time $T$.…

混沌动力学 · 物理学 2014-05-13 Zhe An , Daniel Rey , Henry D. I. Abarbanel

A successful model for high-dimensional spatial extremes should, in principle, be able to describe both weakening extremal dependence at increasing levels and changes in the type of extremal dependence class as a function of the distance…

统计方法学 · 统计学 2022-12-14 Silius M. Vandeskog , Sara Martino , Raphaël Huser

Appropriate models for spatially autocorrelated data account for the fact that observations are not independent. A popular model in this context is the simultaneous autoregressive (SAR) model that allows to model the spatial dependency…

统计方法学 · 统计学 2017-07-12 A. Kreuzer , T. Erhardt , T. Nagler , C. Czado

We consider the problem of state estimation in dynamical systems and propose a different mechanism for handling unmodeled system uncertainties. Instead of injecting random process noise, we assign different weights to measurements so that…

信息论 · 计算机科学 2020-09-08 Yaron Shulami , Daniel Sigalov

Inference on the extremal behaviour of spatial aggregates of precipitation is important for quantifying river flood risk. There are two classes of previous approach, with one failing to ensure self-consistency in inference across different…

统计方法学 · 统计学 2022-06-22 Jordan Richards , Jonathan A. Tawn , Simon Brown

Area-level models for small area estimation typically rely on areal random effects to shrink design-based direct estimates towards a model-based predictor. Incorporating the spatial dependence of the random effects into these models can…

统计方法学 · 统计学 2024-04-22 Sho Kawano , Paul A. Parker , Zehang Richard Li

Estimating effects of spatially structured exposures is complicated by unmeasured spatial confounders, which undermine identifiability in spatial linear regression models unless structural assumptions are imposed. We develop a general…

统计方法学 · 统计学 2025-12-30 Anik Burman , Elizabeth L. Ogburn , Abhirup Datta

The conditional extremes framework allows for event-based stochastic modeling of dependent extremes, and has recently been extended to spatial and spatio-temporal settings. After standardizing the marginal distributions and applying an…

统计方法学 · 统计学 2024-03-26 Emma S. Simpson , Thomas Opitz , Jennifer L. Wadsworth

Atmospheric aerosols influence the Earth's climate, primarily by affecting cloud formation and scattering visible radiation. However, aerosol-related physical processes in climate simulations are highly uncertain. Constraining these…

There are many cases in collider physics and elsewhere where a calibration dataset is used to predict the known physics and / or noise of a target region of phase space. This calibration dataset usually cannot be used out-of-the-box but…

高能物理 - 唯象学 · 物理学 2022-12-14 Radha Mastandrea , Benjamin Nachman

This paper presents the development of a new entropy-based feature selection method for identifying and quantifying impacts. Here, impacts are defined as statistically significant differences in spatio-temporal fields when comparing…

应用统计 · 统计学 2024-09-27 Jerry Watkins , Luca Bertagna , Graham Harper , Andrew Steyer , Irina Tezaur , Diana Bull

It is informative to evaluate a forecaster's ability to predict outcomes that have a large impact on the forecast user. Although weighted scoring rules have become a well-established tool to achieve this, such scores have been studied…

统计方法学 · 统计学 2022-02-28 Sam Allen , David Ginsbourger , Johanna Ziegel

Informative sampling designs can impact spatial prediction, or kriging, in two important ways. First, the sampling design can bias spatial covariance parameter estimation, which in turn can bias spatial kriging estimates. Second, even with…

统计方法学 · 统计学 2021-08-30 Erin M. Schliep , Christopher K. Wikle , Ranadeep Daw

We develop flexible methods of deriving variational inference for models with complex latent variable structure. By splitting the variables in these models into "global" parameters and "local" latent variables, we define a class of…

统计计算 · 统计学 2019-04-23 Linda S. L. Tan , Aishwarya Bhaskaran , David J. Nott