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Land Surface Temperature (LST) is a key variable for various applications, such as urban climate and ecology studies. Yet, existing satellite-derived LST products provide either high spatial or high temporal resolution, resulting in a…

机器学习 · 计算机科学 2026-05-14 Solomiia Kurchaba , Angela Meyer

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

数据分析、统计与概率 · 物理学 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

In many scientific fields, such as economics and neuroscience, we are often faced with nonstationary time series, and concerned with both finding causal relations and forecasting the values of variables of interest, both of which are…

机器学习 · 计算机科学 2019-08-01 Biwei Huang , Kun Zhang , Mingming Gong , Clark Glymour

We propose a new approach for the modeling large datasets of nonstationary spatial processes that combines a latent low rank process and a sparse covariance model. The low rank component coefficients are endowed with a flexible graphical…

统计方法学 · 统计学 2025-10-08 Matthew LeDuc , William Kleiber , Tomoko Matsuo

Spatiotemporal simulation of minimum and maximum temperature is a fundamental requirement for climate impact studies and hydrological or agricultural models. Particularly over regions with variable orography, these simulations are difficult…

应用统计 · 统计学 2013-06-03 William Kleiber , Richard W. Katz , Balaji Rajagopalan

This work is motivated by constructing a weather simulator for precipitation. Temperature and humidity are two of the most important driving forces of precipitation, and the strategy is to have a stochastic model for temperature and…

应用统计 · 统计学 2015-05-27 Xiangping Hu , Ingelin Steinsland , Daniel Simpson , Sara Martino , Håvard Rue

This paper introduces warped Gaussian processes (WGP) regression in remote sensing applications. WGP models output observations as a parametric nonlinear transformation of a GP. The parameters of such prior model are then learned via…

计算机视觉与模式识别 · 计算机科学 2020-12-23 Anna Mateo-Sanchis , Jordi Muñoz-Marí , Adrián Pérez-Suay , Gustau Camps-Valls

Urbanization of an area is known to increase the temperature of the surrounding area. This phenomenon -- a so-called urban heat island (UHI) -- occurs at a local level over a period of time and has lasting impacts for historical data…

统计方法学 · 统计学 2021-07-30 Candace Berrett , Brianne Gurney , David Arthur , Todd Moon , Gus P. Williams

We introduce an extension of R-vine copula models for the purpose of spatial dependency modeling and model based prediction at unobserved locations. The newly derived spatial R-vine model combines the flexibility of vine copulas with the…

统计方法学 · 统计学 2014-03-17 Tobias Michael Erhardt , Claudia Czado , Ulf Schepsmeier

Increasingly larger data sets of processes in space and time ask for statistical models and methods that can cope with such data. We show that the solution of a stochastic advection-diffusion partial differential equation provides a…

统计方法学 · 统计学 2016-02-18 Fabio Sigrist , Hans R. Künsch , Werner A. Stahel

Climate change has become a significant global concern due to its capacity to cause substantial disruption to daily life by increasing the frequency and intensity of extreme weather events. Given the rising trend of human interventions in…

应用统计 · 统计学 2026-04-28 Ritik Roshan Giri , Arnab Hazra

Parameter retrieval and model inversion are key problems in remote sensing and Earth observation. Currently, different approximations exist: a direct, yet costly, inversion of radiative transfer models (RTMs); the statistical inversion with…

信号处理 · 电气工程与系统科学 2021-04-22 Daniel Heestermans Svendsen , Pablo Morales-Alvarez , Ana Belen Ruescas , Rafael Molina , Gustau Camps-Valls

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

统计方法学 · 统计学 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

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

Accurate lake temperature estimation is essential for numerous problems tackled in both hydrological and ecological domains. Nowadays physical models are developed to estimate lake dynamics; however, computations needed for accurate…

机器学习 · 计算机科学 2021-09-29 Michael Stalder , Firat Ozdemir , Artur Safin , Jonas Sukys , Damien Bouffard , Fernando Perez-Cruz

Geographic Information Systems (GIS) and related technologies have generated substantial interest among statisticians with regard to scalable methodologies for analyzing large spatial datasets. A variety of scalable spatial process models…

机器学习 · 统计学 2021-09-10 Sudipto Banerjee

A multivariate distribution can be described by a triangular transport map from the target distribution to a simple reference distribution. We propose Bayesian nonparametric inference on the transport map by modeling its components using…

统计方法学 · 统计学 2023-01-18 Matthias Katzfuss , Florian Schäfer

Gaussian processes have become a popular tool for nonparametric regression because of their flexibility and uncertainty quantification. However, they often use stationary kernels, which limit the expressiveness of the model and may be…

机器学习 · 计算机科学 2025-07-17 Zachary James , Joseph Guinness

Modelling of precipitation and its extremes is important for urban and agriculture planning purposes. We present a method for producing spatial predictions and measures of uncertainty for spatio-temporal data that is heavy-tailed and…

应用统计 · 统计学 2014-11-19 Yang Liu , Philip Kokic

We develop a new efficient methodology for Bayesian global sensitivity analysis for large-scale multivariate data. The focus is on computationally demanding models with correlated variables. A multivariate Gaussian process is used as a…

统计方法学 · 统计学 2022-01-25 Oluwole Oyebamiji , Christopher Nemeth , Paula Harrison , Rob Dunford , George Cojocaru