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Weather forecasts sit upstream of high-stakes decisions in domains such as grid operations, aviation, agriculture, and emergency response. Yet forecast users often face a difficult trade-off. Many decision-relevant targets are functionals…

Machine Learning · Computer Science 2026-01-08 Paulius Rauba , Viktor Cikojevic , Fran Bartolic , Sam Levang , Ty Dickinson , Chase Dwelle

Climate models struggle to accurately simulate precipitation, particularly extremes and the diurnal cycle. Here, we present a hybrid model that is trained directly on satellite-based precipitation observations. Our model runs at 2.8$^\circ$…

Atmospheric and Oceanic Physics · Physics 2024-12-17 Janni Yuval , Ian Langmore , Dmitrii Kochkov , Stephan Hoyer

Generative diffusion models are extensively used in unsupervised and self-supervised machine learning with the aim to generate new samples from a probability distribution estimated with a set of known samples. They have demonstrated…

Fluid Dynamics · Physics 2026-01-28 Wilfried Genuist , Éric Savin , Filippo Gatti , Didier Clouteau

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…

Precise and reliable climate projections are required for climate adaptation and mitigation, but Earth system models still exhibit great uncertainties. Several approaches have been developed to reduce the spread of climate projections and…

Data imputation and data generation have important applications for many domains, like healthcare and finance, where incomplete or missing data can hinder accurate analysis and decision-making. Diffusion models have emerged as powerful…

Machine Learning · Computer Science 2025-06-10 Mario Villaizán-Vallelado , Matteo Salvatori , Carlos Segura , Ioannis Arapakis

Synthesizing realistic microstructure images conditioned on processing parameters is crucial for understanding process-structure relationships in materials design. However, this task remains challenging due to limited training micrographs…

Materials Science · Physics 2025-11-21 Hoang Cuong Phan , Minh Tien Tran , Chihun Lee , Hoheok Kim , Sehyeok Oh , Dong-Kyu Kim , Ho Won Lee

General circulation models (GCMs) are the foundation of weather and climate prediction. GCMs are physics-based simulators which combine a numerical solver for large-scale dynamics with tuned representations for small-scale processes such as…

Diffusion models (DMs) represent state-of-the-art generative models for continuous inputs. DMs work by constructing a Stochastic Differential Equation (SDE) in the input space (ie, position space), and using a neural network to reverse it.…

Machine Learning · Computer Science 2024-05-14 Tianrong Chen , Jiatao Gu , Laurent Dinh , Evangelos A. Theodorou , Joshua Susskind , Shuangfei Zhai

Modeling complex fluid systems, especially turbulence governed by partial differential equations (PDEs), remains a fundamental challenge in science and engineering. Recently, diffusion-based generative models have gained attention as a…

Machine Learning · Computer Science 2025-06-03 Haixin Wang , Jiashu Pan , Hao Wu , Fan Zhang , Tailin Wu

Because of the impact of extreme heat waves and heat domes on society and biodiversity, their study is a key challenge. We specifically study long-lasting extreme heat waves, which are among the most important for climate impacts. Physics…

Machine Learning · Computer Science 2022-01-14 Valérian Jacques-Dumas , Francesco Ragone , Pierre Borgnat , Patrice Abry , Freddy Bouchet

Neural Temporal Point Processes (TPPs) have emerged as the primary framework for predicting sequences of events that occur at irregular time intervals, but their sequential nature can hamper performance for long-horizon forecasts. To…

Machine Learning · Computer Science 2024-07-23 Mai Zeng , Florence Regol , Mark Coates

Climate models, such as Earth system models (ESMs), are crucial for simulating future climate change based on projected Shared Socioeconomic Pathways (SSP) greenhouse gas emissions scenarios. While ESMs are sophisticated and invaluable,…

In the context of the rising share of new energy generation, accurately generating new energy output scenarios is crucial for day-ahead power system scheduling. Deep learning-based scenario generation methods can address this need, but…

Machine Learning · Computer Science 2025-05-20 Changgang Wang , Wei Liu , Yu Cao , Dong Liang , Yang Li , Jingshan Mo

Simulating and controlling physical systems described by partial differential equations (PDEs) are crucial tasks across science and engineering. Recently, diffusion generative models have emerged as a competitive class of methods for these…

Machine Learning · Computer Science 2025-06-27 Peiyan Hu , Rui Wang , Xiang Zheng , Tao Zhang , Haodong Feng , Ruiqi Feng , Long Wei , Yue Wang , Zhi-Ming Ma , Tailin Wu

Climate projections have uncertainties related to components of the climate system and their interactions. A typical approach to quantifying these uncertainties is to use climate models to create ensembles of repeated simulations under…

Atmospheric and Oceanic Physics · Physics 2026-01-29 Graham Clyne , Guillaume Couairon , Guillaume Gastineau , Claire Monteleoni , Anastase Charantonis

The large underlying assumption of climate models today relies on the basis of a "confident" initial condition, a reasonably plausible snapshot of the Earth for which all future predictions depend on. However, given the inherently chaotic…

Applications · Statistics 2025-06-03 Valerie Tsao , Nathaniel W. Chaney , Manolis Veveakis

State-space systems encompass a broad class of algorithms used for modeling and forecasting time series. For such systems to be effective, two objectives must be met: (i) accurate point forecasts of the time series must be produced, and…

Chaotic Dynamics · Physics 2026-05-12 James Murray Louw , Juan-Pablo Ortega

Data assimilation is widely used in many disciplines such as meteorology, oceanography, and robotics to estimate the state of a dynamical system from noisy observations. In this work, we propose a lightweight and general method to perform…

Machine Learning · Computer Science 2025-10-02 Thomas Savary , François Rozet , Gilles Louppe

Modeling geophysical processes as low-dimensional dynamical systems and regressing their vector field from data is a promising approach for learning emulators of such systems. We show that when the kernel of these emulators is also learned…

Atmospheric and Oceanic Physics · Physics 2021-08-11 Boumediene Hamzi , Romit Maulik , Houman Owhadi
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