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Weighted conformal prediction (WCP) has been commonly used to quantify prediction uncertainty under covariate shift. However, the effectiveness of WCP relies heavily on the degree of overlap between the training and test covariate…

Methodology · Statistics 2026-04-02 Mufang Ying , Wenge Guo , Koulik Khamaru , Ying Hung

Wind power forecasting is essential for managing daily operations at wind farms and enabling market operators to manage power uncertainty effectively in demand planning. This paper explores advanced cross-temporal forecasting models and…

Methodology · Statistics 2024-12-17 Mahdi Abolghasemi , Daniele Girolimetto , Tommaso Di Fonzo

An algorithm for non-stationary spatial modelling using multiple secondary variables is developed. It combines Geostatistics with Quantile Random Forests to give a new interpolation and stochastic simulation algorithm. This paper introduces…

Methodology · Statistics 2022-01-13 Colin Daly

Integrating multiple observational studies to make unconfounded causal or descriptive comparisons of group potential outcomes in a large natural population is challenging. Moreover, retrospective cohorts, being convenience samples, are…

Methodology · Statistics 2024-07-19 Subharup Guha , Yi Li

Evidence derived primarily from physical models has identified saltwater disposal as the dominant causal factor that contributes to induced seismicity. To complement physical models, statistical/machine learning (ML) models are designed to…

Applications · Statistics 2025-10-21 Yuchen Xiao , Corwin Zigler , Peter H. Hennings , Alexandros Savvaidis

Fine particulate matter, PM$_{2.5}$, has been documented to have adverse health effects and wildland fires are a major contributor to PM$_{2.5}$ air pollution in the US. Forecasters use numerical models to predict PM$_{2.5}$ concentrations…

Applications · Statistics 2019-09-30 Suman Majumder , Yawen Guan , Brian J. Reich , Susan O'Neill , Ana G. Rappold

We analyze a varying-coefficient dynamic spatial autoregressive model with spatial fixed effects. One salient feature of the model is the incorporation of multiple spatial weight matrices through their linear combinations with varying…

Methodology · Statistics 2025-05-12 Zetai Cen , Yudong Chen , Clifford Lam

Flexible spatial models that allow transitions between tail dependence classes have recently appeared in the literature. However, inference for these models is computationally prohibitive, even in moderate dimensions, due to the necessity…

Statistics Theory · Mathematics 2020-12-03 Likun Zhang , Benjamin A. Shaby , Jennifer L. Wadsworth

Studies investigating the causal effects of spatially varying exposures on outcomes often rely on observational and spatially indexed data. A prevalent challenge is unmeasured spatial confounding, where an unobserved spatially varying…

Methodology · Statistics 2025-11-19 Sophie M. Woodward , Mauricio Tec , Francesca Dominici

Motivated by the Extreme Value Analysis 2021 (EVA 2021) data challenge we propose a method based on statistics and machine learning for the spatial prediction of extreme wildfire frequencies and sizes. This method is tailored to handle…

Methodology · Statistics 2023-04-04 Daniela Cisneros , Yan Gong , Rishikesh Yadav , Arnab Hazra , Raphael Huser

In modeling spatial processes, a second-order stationarity assumption is often made. However, for spatial data observed on a vast domain, the covariance function often varies over space, leading to a heterogeneous spatial dependence…

Methodology · Statistics 2021-02-09 Ghulam A. Qadir , Ying Sun , Sebastian Kurtek

Technological developments and open data policies have made large, global environmental datasets accessible to everyone. For analysing such datasets, including spatiotemporal correlations using traditional models based on Gaussian processes…

Computation · Statistics 2020-07-01 Marius Appel , Edzer Pebesma

Astronomers often deal with data where the covariates and the dependent variable are measured with heteroscedastic non-Gaussian error. For instance, while TESS and Kepler datasets provide a wealth of information, addressing the challenges…

Instrumentation and Methods for Astrophysics · Physics 2024-12-17 Naomi Giertych , Jonathan P Williams , Sujit Ghosh

Standard geostatistical models assume stationarity and rely on a variogram model to account for the spatial dependence in the observed data. In some instances, this assumption that the spatial dependence structure is constant throughout the…

Methodology · Statistics 2022-12-16 Dave Higdon , Jenise Swall , John Kern

In this paper we focus on the problem of assigning uncertainties to single-point predictions generated by a deterministic model that outputs a continuous variable. This problem applies to any state-of-the-art physics or engineering models…

Machine Learning · Statistics 2020-03-12 Enrico Camporeale , Algo Carè

In recent years, probabilistic forecasting is an emerging topic, which is why there is a growing need of suitable methods for the evaluation of multivariate predictions. We analyze the sensitivity of the most common scoring rules,…

Methodology · Statistics 2019-10-17 Florian Ziel , Kevin Berk

Varying-coefficient functional linear models consider the relationship between a response and a predictor, where the response depends not only the predictor but also an exogenous variable. It then accounts for the relation of the predictors…

Methodology · Statistics 2022-03-22 Hidetoshi Matsui

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

Methodology · Statistics 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

Climate change is intensifying wildfire risks globally, making reliable forecasting critical for adaptation strategies. While machine learning shows promise for wildfire prediction from Earth observation data, current approaches lack…

Machine Learning · Computer Science 2025-10-14 Aditya Chakravarty

It is well-known that saturated output observations are prevalent in various practical systems and that the $\ell_1$-norm is more robust than the $\ell_2$-norm-based parameter estimation. Unfortunately, adaptive identification based on both…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Xin Zheng , Lei Guo
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