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In prediction problems with more predictors than observations, it can sometimes be helpful to use a joint probability model, $\pi(Y,X)$, rather than a purely conditional model, $\pi(Y \mid X)$, where $Y$ is a scalar response variable and…

Methodology · Statistics 2010-11-17 P. Richard Hahn , Sayan Mukherjee , Carlos Carvalho

Recent advancements in remote sensing technology, specifically Light Detection and Ranging (LiDAR) sensors, provide the data needed to quantify forest characteristics at a fine spatial resolution over large geographic domains. From an…

Applications · Statistics 2016-12-07 Andrew O. Finley , Sudipto Banerjee , Yuzhen Zhou , Bruce D. Cook , Chad Babcock

This paper presents a novel nonlinear regression model for estimating heterogeneous treatment effects from observational data, geared specifically towards situations with small effect sizes, heterogeneous effects, and strong confounding.…

Methodology · Statistics 2019-11-14 P. Richard Hahn , Jared S. Murray , Carlos Carvalho

In analyses of spatially-referenced data, researchers often have one of two goals: to quantify relationships between a response variable and covariates while accounting for residual spatial dependence or to predict the value of a response…

Methodology · Statistics 2016-01-11 Candace Berrett , Catherine A. Calder

Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

Methodology · Statistics 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

Random forests are a powerful method for non-parametric regression, but are limited in their ability to fit smooth signals, and can show poor predictive performance in the presence of strong, smooth effects. Taking the perspective of random…

Machine Learning · Statistics 2020-09-08 Rina Friedberg , Julie Tibshirani , Susan Athey , Stefan Wager

Multivariate spatial modeling is key to understanding the behavior of materials downstream in a mining operation. The ore recovery depends on the mineralogical composition, which needs to be properly captured by the model to allow for good…

Applications · Statistics 2023-10-03 Alvaro I. Riquelme , Julian M. Ortiz

Low-cost air pollution sensor networks are increasingly being deployed globally, supplementing sparse regulatory monitoring with localized air quality data. In some areas, like Baltimore, Maryland, there are only few regulatory (reference)…

Applications · Statistics 2025-09-11 Claire Heffernan , Kirsten Koehler , Drew R. Gentner , Roger D. Peng , Abhirup Datta

Spatial concurrent linear models, in which the model coefficients are spatial processes varying at a local level, are flexible and useful tools for analyzing spatial data. One approach places stationary Gaussian process priors on the…

Applications · Statistics 2012-02-03 Zuofeng Shang , Murray K. Clayton

Determining spatial distributions of species and communities are key objectives of ecology and conservation. Joint species distribution models use multi-species detection-nondetection data to estimate species and community distributions.…

Applications · Statistics 2022-12-15 Jeffrey W. Doser , Andrew O. Finley , Sudipto Banerjee

Many forest management planning decisions are based on information about the number of trees by species and diameter per unit area. This information is commonly summarized in a stand table, where a stand is defined as a group of forest…

Applications · Statistics 2014-11-04 Andrew O. Finley , Sudipto Banerjee , Aaron R. Weiskittel , Chad Babcock , Bruce D. Cook

Low-cost air pollution sensors, offering hyper-local characterization of pollutant concentrations, are becoming increasingly prevalent in environmental and public health research. However, low-cost air pollution data can be noisy, biased by…

Applications · Statistics 2023-02-21 Claire Heffernan , Roger Peng , Drew R. Gentner , Kirsten Koehler , Abhirup Datta

Preventive control is a crucial strategy for power system operation against impending natural hazards, and its effectiveness fundamentally relies on the realism of scenario generation. While most existing studies employ sequential Monte…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Ziyue Li , Guanglun Zhang , Grant Ruan , Haiwang Zhong , Chongqing Kang

In prediction of forest parameters with data from remote sensing (RS), regression models have traditionally been trained on a small sample of ground reference data. This paper proposes to impute this sample of true prediction targets with…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Sara Björk , Stian N. Anfinsen , Michael Kampffmeyer , Erik Næsset , Terje Gobakken , Lennart Noordermeer

We consider monotonic, multiple regression for a set of contiguous regions (lattice data). The regression functions permissibly vary between regions and exhibit geographical structure. We develop new Bayesian non-parametric methodology…

Methodology · Statistics 2019-04-16 Christian Rohrbeck , Deborah Costain , Arnoldo Frigessi

Prediction is a classic challenge in spatial statistics and the inclusion of spatial covariates can greatly improve predictive performance when incorporated into a model with latent spatial effects. It is desirable to develop flexible…

Methodology · Statistics 2025-02-24 Alex Ziyu Jiang , Jon Wakefield

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

Methodology · Statistics 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

Spatial generalized linear mixed-effects models are popularly used to analyze spatially indexed univariate responses. However, with modern technology, it is common to observe vector-valued mixed-type responses, e.g., a combination of…

Methodology · Statistics 2026-04-23 Arghya Mukherjee , Arnab Hazra , Dootika Vats

In many remote sensing applications one wants to estimate variables or parameters of interest from observations. When the target variable is available at a resolution that matches the remote sensing observations, standard algorithms such as…

In areal unit data with missing or suppressed data, it desirable to create models that are able to predict observations that are not available. Traditional statistical methods achieve this through Bayesian hierarchical models that can…

Methodology · Statistics 2023-12-20 Cara MacBride , Vinny Davies , Duncan Lee