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Stochastic and conditional simulation methods have been effective towards producing realistic realizations and simulations of spatial numerical models that share equal probability of occurrence. Application of these methods are valuable…

Climate models are limited by heavy computational costs, often producing outputs at coarse spatial resolutions, while many climate change impact studies require finer scales. Statistical downscaling bridges this gap, and we adapt the…

Machine Learning · Computer Science 2025-11-06 Maryam Alipourhajiagha , Pierre-Louis Lemaire , Youssef Diouane , Julie Carreau

Heat waves resulting from prolonged extreme temperatures pose a significant risk to human health globally. Given the limitations of observations of extreme temperature, climate models are often used to characterize extreme temperature…

Methodology · Statistics 2020-05-08 Mark Risser

We introduce a two-stage probabilistic framework for statistical downscaling using unpaired data. Statistical downscaling seeks a probabilistic map to transform low-resolution data from a biased coarse-grained numerical scheme to…

Machine Learning · Computer Science 2023-11-01 Zhong Yi Wan , Ricardo Baptista , Yi-fan Chen , John Anderson , Anudhyan Boral , Fei Sha , Leonardo Zepeda-Núñez

A key objective in spatial statistics is to simulate from the distribution of a spatial process at a selection of unobserved locations conditional on observations (i.e., a predictive distribution) to enable spatial prediction and…

Methodology · Statistics 2025-11-17 Julia Walchessen , Andrew Zammit-Mangion , Raphaël Huser , Mikael Kuusela

The advancement of remote sensing, including satellite systems, facilitates the continuous acquisition of remote sensing imagery globally, introducing novel challenges for achieving open-world tasks. Deployed models need to continuously…

Computer Vision and Pattern Recognition · Computer Science 2025-07-31 Xiang Xiang , Zhuo Xu , Yao Deng , Qinhao Zhou , Yifan Liang , Ke Chen , Qingfang Zheng , Yaowei Wang , Xilin Chen , Wen Gao

Designing a covariance function that represents the underlying correlation is a crucial step in modeling complex natural systems, such as climate models. Geospatial datasets at a global scale usually suffer from non-stationarity and…

Machine Learning · Statistics 2015-07-10 Chintan A. Dalal , Vladimir Pavlovic , Robert E. Kopp

Global climate projections rely on computationally demanding Earth System Models (ESMs), which are typically limited to coarse spatial resolutions due to their high cost. To obtain high-resolution projections for regions of interest, it is…

Atmospheric and Oceanic Physics · Physics 2026-03-05 Erik Larsson , Ramon Fuentes-Franco , Mikhail Ivanov , Fredrik Lindsten

A new class of stochastic field models is constructed using nested stochastic partial differential equations (SPDEs). The model class is computationally efficient, applicable to data on general smooth manifolds, and includes both the…

Applications · Statistics 2011-04-19 David Bolin , Finn Lindgren

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

State estimation or filtering serves as a fundamental task to enable intelligent decision-making in applications such as autonomous vehicles, robotics, healthcare monitoring, smart grids, intelligent transportation, and predictive…

Machine Learning · Computer Science 2025-06-16 Aamir Hussain Chughtai

Spatial processes observed in various fields, such as climate and environmental science, often occur on a large scale and demonstrate spatial nonstationarity. Fitting a Gaussian process with a nonstationary Mat\'ern covariance is…

Machine Learning · Statistics 2023-06-21 Pratik Nag , Yiping Hong , Sameh Abdulah , Ghulam A. Qadir , Marc G. Genton , Ying Sun

Recently, deep Convolutional Neural Networks (CNNs) have revolutionized image super-resolution (SR), dramatically outperforming past methods for enhancing image resolution. They could be a boon for the many scientific fields that involve…

Image and Video Processing · Electrical Eng. & Systems 2021-10-28 Andrew Geiss , Joseph C. Hardin

Machine learning (ML) methods have shown great potential for weather downscaling. These data-driven approaches provide a more efficient alternative for producing high-resolution weather datasets and forecasts compared to physics-based…

Computational Engineering, Finance, and Science · Computer Science 2025-04-02 Saumya Sinha , Brandon Benton , Patrick Emami

Ordinary differential equations (ODE) have been widely used for modeling dynamical complex systems. For high-dimensional ODE models where the number of differential equations is large, it remains challenging to estimate the ODE parameters…

Methodology · Statistics 2022-06-20 Muye Nanshan , Nan Zhang , Xiaolei Xun , Jiguo Cao

Regional high-resolution climate projections are crucial for many applications, such as agriculture, hydrology, and natural hazard risk assessment. Dynamical downscaling, the state-of-the-art method to produce localized future climate…

Atmospheric and Oceanic Physics · Physics 2024-10-03 Ignacio Lopez-Gomez , Zhong Yi Wan , Leonardo Zepeda-Núñez , Tapio Schneider , John Anderson , Fei Sha

In this work, we propose a novel approach called Operational Support Estimator Networks (OSENs) for the support estimation task. Support Estimation (SE) is defined as finding the locations of non-zero elements in sparse signals. By its very…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Mete Ahishali , Mehmet Yamac , Serkan Kiranyaz , Moncef Gabbouj

Statistical downscaling of global climate models (GCMs) allows researchers to study local climate change effects decades into the future. A wide range of statistical models have been applied to downscaling GCMs but recent advances in…

Machine Learning · Statistics 2017-02-15 Thomas Vandal , Evan Kodra , Auroop R Ganguly

Accurate modeling of physical systems governed by partial differential equations is a central challenge in scientific computing. In oceanography, high-resolution current data are critical for coastal management, environmental monitoring,…

Machine Learning · Computer Science 2025-10-21 Abdessamad El-Kabid , Loubna Benabbou , Redouane Lguensat , Alex Hernández-García

Super-resolving the coarse outputs of global climate simulations, termed downscaling, is crucial in making political and social decisions on systems requiring long-term climate change projections. Existing fast super-resolution techniques,…

Atmospheric and Oceanic Physics · Physics 2023-04-18 Norihiro Oyama , Noriko N. Ishizaki , Satoshi Koide , Hiroaki Yoshida