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Downscaling is necessary to generate high-resolution observation data to validate the climate model forecast or monitor rainfall at the micro-regional level operationally. Dynamical and statistical downscaling models are often used to get…

Atmospheric and Oceanic Physics · Physics 2023-02-28 Bipin Kumar , Rajib Chattopadhyay , Manmeet Singh , Niraj Chaudhari , Karthik Kodari , Amit Barve

Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic. In this work, we propose a…

Machine Learning · Statistics 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

Merging satellite and gauge data with machine learning produces high-resolution precipitation datasets, but uncertainty estimates are often missing. We addressed the gap of how to optimally provide such estimates by benchmarking six…

Machine Learning · Statistics 2024-08-23 Georgia Papacharalampous , Hristos Tyralis , Nikolaos Doulamis , Anastasios Doulamis

As climate change drives increased frequency and intensity of extreme precipitation and flooding worldwide, posing escalating threats to public safety and economic assets, accurate and real-time satellite-based precipitation estimation is…

Atmospheric and Oceanic Physics · Physics 2025-12-18 Zijiang Song , Ting Liu , Lina Yuan , Yuying Li , Ao Xu , Xigang Sun , Ye Li , Feng Lu , Min Liu

Vegetation patterns are a characteristic feature of semi-arid regions. On hillsides these patterns occur as stripes running parallel to the contours. The Klausmeier model, a coupled reaction-advection-diffusion system, is a deliberately…

Populations and Evolution · Quantitative Biology 2019-12-03 Lukas Eigentler , Jonathan A. Sherratt

Reliable short horizon forecasting of solar and wind generation is a structural prerequisite of any modern power system yet most published forecasters are tuned and evaluated on a single climatic regime and most algorithmic novelty has been…

Computation and Language · Computer Science 2026-05-12 Pavan Manjunath , Thomas Prufer

Graph models are relevant in many fields, such as distributed computing, intelligent tutoring systems or social network analysis. In many cases, such models need to take changes in the graph structure into account, i.e. a varying number of…

Artificial Intelligence · Computer Science 2018-10-09 Benjamin Paaßen , Christina Göpfert , Barbara Hammer

Modeling groundwater levels continuously across California's Central Valley (CV) hydrological system is challenging due to low-quality well data which is sparsely and noisily sampled across time and space. The lack of consistent well data…

We propose a Bayesian hierarchical model for spatial extremes on a large domain. In the data layer a Gaussian elliptical copula having generalized extreme value (GEV) marginals is applied. Spatial dependence in the GEV parameters are…

Precipitation plays a critical role in the Earth's hydrological cycle, directly affecting ecosystems, agriculture, and water resource management. Accurate precipitation estimation and prediction are crucial for understanding climate…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Zhenyu Yu , Hanqing Chen , Mohd Yamani Idna Idris , Pei Wang

Large-scale Gaussian process inference has long faced practical challenges due to time and space complexity that is superlinear in dataset size. While sparse variational Gaussian process models are capable of learning from large-scale data,…

Machine Learning · Statistics 2018-01-23 Ching-An Cheng , Byron Boots

Rainfall prediction at the kilometre-scale up to a few hours in the future is key for planning and safety. But it is challenging given the complex influence of climate change on cloud processes and the limited skill of weather models at…

Atmospheric and Oceanic Physics · Physics 2023-11-08 S. Moran , B. Demir , F. Serva , B. Le Saux

Forecasting in probabilistic time series is a complex endeavor that extends beyond predicting future values to also quantifying the uncertainty inherent in these predictions. Gaussian process regression stands out as a Bayesian machine…

Despite a large corpus of recent work on scaling up Gaussian processes, a stubborn trade-off between computational speed, prediction and uncertainty quantification accuracy, and customizability persists. This is because the vast majority of…

Machine Learning · Computer Science 2025-12-09 Marcus M. Noack , Mark D. Risser , Hengrui Luo , Vardaan Tekriwal , Ronald J. Pandolfi

A variational inference-based framework for training a multi-output Gaussian process latent variable model, specifically tailored to the tails-up spatio-temporal stream network, is developed. Training, given a censored observational data…

Methodology · Statistics 2026-05-21 Marno Basson , Tobias M. Louw , Theresa R. Smith

Gaussian processes (GPs) are Bayesian non-parametric models popular in a variety of applications due to their accuracy and native uncertainty quantification (UQ). Tuning GP hyperparameters is critical to ensure the validity of prediction…

Machine Learning · Computer Science 2022-11-03 Killian Wood , Alec M. Dunton , Amanda Muyskens , Benjamin W. Priest

Global navigation satellite systems (GNSS) station-based Precipitation Nowcasting aims to predict rainfall within the next 0-6 hours by leveraging a GNSS station's historical observations of precipitation, GNSS-PWV, and related…

Machine Learning · Computer Science 2026-01-13 Yifang Zhang , Shengwu Xiong , Henan Wang , Wenjie Yin , Jiawang Peng , Duan Zhou , Yuqiang Zhang , Chen Zhou , Hua Chen , Qile Zhao , Pengfei Duan

: One of the prominent challenges being faced by agricultural sciences is the onset of climate change which is adversely affecting every aspect of cropping. Modelling of climate change at macro level have been carried out at large scale and…

Applications · Statistics 2025-12-01 Abhishek Singh , Aaditya Jadhav , Abha Goyal , Jesma V , Vyshna I C

Deep learning offers promising capabilities for the statistical downscaling of climate and weather forecasts, with generative approaches showing particular success in capturing fine-scale precipitation patterns. However, most existing…

Machine Learning · Computer Science 2025-12-02 Paula Harder , Christian Lessig , Matthew Chantry , Francis Pelletier , David Rolnick

Precipitation governs Earth's hydroclimate, and its daily spatiotemporal fluctuations have major socioeconomic effects. Advances in Numerical weather prediction (NWP) have been measured by the improvement of forecasts for various physical…

Atmospheric and Oceanic Physics · Physics 2022-11-14 Manmeet Singh , Vaisakh S B , Nachiketa Acharya , Aditya Grover , Suryachandra A Rao , Bipin Kumar , Zong-Liang Yang , Dev Niyogi
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