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Simulation of rainfall over a region for long time-sequences can be very useful for planning and policy-making, especially in India where the economy is heavily reliant on monsoon rainfall. However, such simulations should be able to…

Applications · Statistics 2017-09-04 Adway Mitra

Most useful weather prediction for the public is near the surface. The processes that are most relevant for near-surface weather prediction are also those that are most interactive and exhibit positive feedback or have key role in energy…

We present the spatial regime conversion method (SRCM), a novel hybrid modelling framework for simulating reaction-diffusion systems that adaptively combines stochastic discrete and deterministic continuum representations. Extending the…

Quantitative Methods · Quantitative Biology 2025-07-08 Charles G. Cameron , Cameron A. Smith , Christian A. Yates

Regional climate information at kilometer scales is essential for assessing the impacts of climate change, but generating it with global climate models is too expensive due to their high computational costs. Machine learning models offer a…

Atmospheric and Oceanic Physics · Physics 2026-04-07 Kevin Debeire , Aytaç Paçal , Pierre Gentine , Luis Medrano-Navarro , Nils Thuerey , Veronika Eyring

Modern methods for quantifying and predicting species distribution play a crucial part in biodiversity conservation. Occupancy models are a popular choice for analyzing species occurrence data as they allow to separate the observational…

Methodology · Statistics 2024-03-19 Jafet Belmont , Sara Martino , Janine Illian , Håvard Rue

Downscaling aims to link the behaviour of the atmosphere at fine scales to properties measurable at coarser scales, and has the potential to provide high resolution information at a lower computational and storage cost than numerical…

Atmospheric and Oceanic Physics · Physics 2021-05-19 Rachel Prudden , Niall Robinson , Peter Challenor , Richard Everson

Machine learning approaches have recently been leveraged as a substitute or an aid for physical/mathematical modeling approaches to dynamical systems. To develop an efficient machine learning method dedicated to modeling and prediction of…

Machine Learning · Computer Science 2022-08-01 Gouhei Tanaka , Tadayoshi Matsumori , Hiroaki Yoshida , Kazuyuki Aihara

Sparse coding aims to model data vectors as sparse linear combinations of basis elements, but a majority of related studies are restricted to continuous data without spatial or temporal structure. A new model-based sparse coding (MSC)…

Methodology · Statistics 2021-08-24 Xin Xing , Rui Xie , Wenxuan Zhong

This paper introduces a method for spatial interpolation of extreme values, and in particular targets the case in which conventional data, resulting from a measurement for example, are available at only a few locations. To overcome this the…

Methodology · Statistics 2012-03-13 B. D. Youngman

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…

Applications · Statistics 2013-06-03 William Kleiber , Richard W. Katz , Balaji Rajagopalan

Given multi-model ensemble climate projections, the goal is to accurately and reliably predict future sea-level rise while lowering the uncertainty. This problem is important because sea-level rise affects millions of people in coastal…

Atmospheric and Oceanic Physics · Physics 2023-10-25 Subhankar Ghosh , Shuai An , Arun Sharma , Jayant Gupta , Shashi Shekhar , Aneesh Subramanian

Climate projections using data driven machine learning models acting as emulators, is one of the prevailing areas of research to enable policy makers make informed decisions. Use of machine learning emulators as surrogates for…

Machine Learning · Computer Science 2023-08-24 Anmol Chaure , Ashok Kumar Behera , Sudip Bhattacharya

Deep Learning (DL) has shown promise for downscaling global climate change projections under different approaches, including Perfect Prognosis (PP) and Regional Climate Model (RCM) emulation. Unlike emulators, PP downscaling models are…

Atmospheric and Oceanic Physics · Physics 2025-09-23 Jose González-Abad , José Manuel Gutiérrez

Earth System Models (ESM) are our main tool for projecting the impacts of climate change. However, running these models at sufficient resolution for local-scale risk-assessments is not computationally feasible. Deep learning-based…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Paula Harder , Luca Schmidt , Francis Pelletier , Nicole Ludwig , Matthew Chantry , Christian Lessig , Alex Hernandez-Garcia , David Rolnick

Subspace methods like canonical variate analysis (CVA) are regression based methods for the estimation of linear dynamic state space models. They have been shown to deliver accurate (consistent and asymptotically equivalent to quasi maximum…

Methodology · Statistics 2025-02-17 Dietmar Bauer

Global and regional climate model projections are useful for gauging future patterns of climate variables, including solar radiation, but data from these models is often too coarse to assess local impacts. Within the context of solar…

Applications · Statistics 2024-05-21 Maggie Bailey , Doug Nychka , Manajit Sengupta , Jaemo Yang , Soutir Bandyopadhyay

Cyclostationary linear inverse models (CS-LIMs), generalized versions of the classical (stationary) LIM, are advanced data-driven techniques for extracting the first-order time-dependent dynamics and random forcing relevant information from…

Numerical Analysis · Mathematics 2025-05-01 Justin Lien , Yan-Ning Kuo , Hiroyasu Ando

Model predictive controllers use dynamics models to solve constrained optimal control problems. However, computational requirements for real-time control have limited their use to systems with low-dimensional models. Nevertheless,…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Joseph Lorenzetti , Andrew McClellan , Charbel Farhat , Marco Pavone

Storm-scale convection-allowing models (CAMs) are an important tool for predicting the evolution of thunderstorms and mesoscale convective systems that result in damaging extreme weather. By explicitly resolving convective dynamics within…

Inference for spatial generalized linear mixed models (SGLMMs) for high-dimensional non-Gaussian spatial data is computationally intensive. The computational challenge is due to the high-dimensional random effects and because Markov chain…

Computation · Statistics 2018-10-09 Yawen Guan , Murali Haran
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