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In the past decades, clean and renewable energy has gained increasing attention due to a global effort on carbon footprint reduction. In particular, Saudi Arabia is gradually shifting its energy portfolio from an exclusive use of oil to a…

Machine Learning · Statistics 2024-12-11 Kesen Wang , Minwoo Kim , Stefano Castruccio , Marc G. Genton

Global Storm-Resolving Models (GSRMs) have gained widespread interest because of the unprecedented detail with which they resolve the global climate. However, it remains difficult to quantify objective differences in how GSRMs resolve…

Atmospheric and Oceanic Physics · Physics 2023-12-05 Griffin Mooers , Mike Pritchard , Tom Beucler , Prakhar Srivastava , Harshini Mangipudi , Liran Peng , Pierre Gentine , Stephan Mandt

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…

The spatial linear mixed model (SLMM) consists of fixed and spatial random effects that may be linearly dependent. Partially motivated as a means to address potential issues with confounding, the Restricted spatial regression (RSR) model…

Methodology · Statistics 2026-03-24 Jonathan R. Bradley

We perform a Bayesian analysis of the p-variate skew-t model, providing a new parameterization, a set of non-informative priors and a sampler specifically designed to explore the posterior density of the model parameters. Extensions, such…

Methodology · Statistics 2017-05-04 Antonio Parisi , Brunero Liseo

Multivariate statistical analysis is concerned with observations on several variables which are thought to possess some degree of inter-dependence. Driven by problems in genetics and the social sciences, it first flowered in the earlier…

Statistics Theory · Mathematics 2007-06-13 Iain M. Johnstone

We propose a new copula model for replicated multivariate spatial data. Unlike classical models that assume multivariate normality of the data, the proposed copula is based on the assumption that some factors exist that affect the joint…

Applications · Statistics 2018-10-12 Pavel Krupskii , Marc G. Genton

This paper is the second in a series of papers which combine graphical modelling and marked spatial point patterns. Extending the previous results of \cite Eckardt (2016a), we introduce a marked spatial dependence graph model which depicts…

Applications · Statistics 2016-09-29 Matthias Eckardt , Jorge Mateu

The regular variation model for multivariate extremes decomposes the joint distribution of the extremes in polar coordinates in terms of the angles and the norm of the random vector as the product of two independent densities: the angular…

Methodology · Statistics 2025-08-08 Fernández-Durán , J. J. , Gregorio-Domínguez , M. M

Local climate information is crucial for impact assessment and decision-making, yet coarse global climate simulations cannot capture small-scale phenomena. Current statistical downscaling methods infer these phenomena as temporally…

Machine Learning · Computer Science 2025-09-24 Jonathan Schmidt , Luca Schmidt , Felix Strnad , Nicole Ludwig , Philipp Hennig

This paper focuses on systems of nonlinear second-order stochastic differential equations with multi-scales. The motivation for our study stems from mathematical physics and statistical mechanics, for examples, Langevin dynamics and…

Probability · Mathematics 2024-04-08 Nhu N. Nguyen , George Yin

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…

Machine Learning · Statistics 2021-09-10 Sudipto Banerjee

The recent revolution in data-driven methods for weather forecasting has lead to a fragmented landscape of complex, bespoke architectures and training strategies, obscuring the fundamental drivers of forecast accuracy. Here, we demonstrate…

Handling missing data is a major challenge in model-based clustering, especially when the data exhibit skewness and heavy tails. We address this by extending the finite mixture of scale mixtures of multivariate skew-normal (FMSMSN) family…

Methodology · Statistics 2025-07-29 Jason Pillay , Cristina Tortora , Antonio Punzo , Andriette Bekker

Forecasting high-resolution land subsidence is a critical yet challenging task due to its complex, non-linear dynamics. While standard architectures like ConvLSTM often fail to model long-range dependencies, we argue that a more fundamental…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Wendong Yao , Binhua Huang , Soumyabrata Dev

The skew-normal and related families are flexible and asymmetric parametric models suitable for modelling a diverse range of systems. We show that the multivariate maximum of a high-dimensional extended skew-normal random sample has…

Methodology · Statistics 2018-10-02 Boris Beranger , Simone A. Padoan , Yangfan Xu , Scott A. Sisson

Graphical Gaussian models have proven to be useful tools for exploring network structures based on multivariate data. Applications to studies of gene expression have generated substantial interest in these models, and resulting recent…

Methodology · Statistics 2011-08-10 Michael Finegold , Mathias Drton

Renewable resources are strongly dependent on local and large-scale weather situations. Skillful subseasonal to seasonal (S2S) forecasts -- beyond two weeks and up to two months -- can offer significant socioeconomic advantages to the…

Machine Learning · Computer Science 2025-04-01 Maximilian Springenberg , Noelia Otero , Yuxin Xue , Jackie Ma

The proliferation of GPS-enabled devices has led to the development of numerous location-based services. These services need to process massive amounts of spatial data in real-time. The current scale of spatial data cannot be handled using…

Databases · Computer Science 2020-02-28 Anas Daghistani , Walid G. Aref , Arif Ghafoor , Ahmed R. Mahmood

Building design optimization often depends on physics-based simulation tools such as EnergyPlus, which, although accurate, are computationally expensive and slow. Surrogate models provide a faster alternative, yet most are…

Machine Learning · Computer Science 2026-03-13 Piragash Manmatharasan , Girma Bitsuamlak , Katarina Grolinger