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Among the most relevant processes in the Earth system for human habitability are quasi-periodic, ocean-driven multi-year events whose dynamics are currently incompletely characterized by physical models, and hence poorly predictable. This…

Atmospheric and Oceanic Physics · Physics 2023-08-09 Matthew Bonas , Christopher K. Wikle , Stefano Castruccio

Weather forecasting is fundamentally challenged by the chaotic nature of the atmosphere, necessitating probabilistic approaches to quantify uncertainty. While traditional ensemble prediction (EPS) addresses this through computationally…

Machine Learning · Computer Science 2025-11-19 Xinlei Xiong , Wenbo Hu , Shuxun Zhou , Kaifeng Bi , Lingxi Xie , Ying Liu , Richang Hong , Qi Tian

Meteorological ensembles are a collection of scenarios for future weather delivered by a meteorological center. Such ensembles form the main source of valuable information for probabilistic forecasting which aims at producing a predictive…

Applications · Statistics 2019-03-07 Marie Courbariaux , Pierre Barbillon , Luc Perreault , Éric Parent

Most of the methods that produce space weather forecasts are based on deterministic models. In order to generate a probabilistic forecast, a model needs to be run several times sampling the input parameter space, in order to generate an…

Space Physics · Physics 2019-05-01 Enrico Camporeale , Xiangning Chu , Oleksiy Agapitov , Jacob Bortnik

Building on recent advances in scientific machine learning and generative modeling for computational fluid dynamics, we propose a conditional score-based diffusion model designed for multi-scenarios fluid flow prediction. Our model…

Machine Learning · Computer Science 2025-06-02 Wilfried Genuist , Éric Savin , Filippo Gatti , Didier Clouteau

A new efficient ensemble prediction strategy is developed for a general turbulent model framework with emphasis on the nonlinear interactions between large and small scale variables. The high computational cost in running large ensemble…

Fluid Dynamics · Physics 2023-02-22 Di Qi , Jian-Guo Liu

Recent advancements in generative modeling, particularly diffusion models, have opened new directions for time series modeling, achieving state-of-the-art performance in forecasting and synthesis. However, the reliance of diffusion-based…

Machine Learning · Computer Science 2025-05-13 Marcel Kollovieh , Marten Lienen , David Lüdke , Leo Schwinn , Stephan Günnemann

Multivariate time-series (MTS) forecasting is fundamental to applications ranging from urban mobility and resource management to climate modeling. While recent generative models based on denoising diffusion have advanced state-of-the-art…

Machine Learning · Computer Science 2025-11-21 Seyed Mohamad Moghadas , Bruno Cornelis , Adrian Munteanu

Data scarcity is a primary obstacle in developing robust Machine Learning (ML) models for detecting rapidly intensifying tropical cyclones. Traditional data augmentation techniques (rotation, flipping, brightness adjustment) fail to…

Machine Learning · Computer Science 2026-03-10 Marawan Yakout , Tannistha Maiti , Monira Majhabeen , Tarry Singh

Machine learning for weather prediction increasingly relies on ensemble methods to provide probabilistic forecasts. Diffusion-based models have shown strong performance in Limited-Area Modeling (LAM) but remain computationally expensive at…

Machine Learning · Computer Science 2025-11-27 Erik Larsson , Joel Oskarsson , Tomas Landelius , Fredrik Lindsten

Contemporary weather forecasts are typically based on ensemble prediction systems, which consist of multiple runs of numerical weather prediction models that vary with respect to in the initial conditions and/or the the parameterization of…

Methodology · Statistics 2016-05-04 Roman Schefzik

Reconstructing PDE solutions from sparse observations is a core challenge in scientific computing. We present FM4PDE, a flow-matching generative framework that learns the joint distribution of PDE coefficients (or initial states) and…

Machine Learning · Statistics 2026-05-26 Xifeng Zhang , Jin Zhao

Water demand is a highly important variable for operational control and decision making. Hence, the development of accurate forecasts is a valuable field of research to further improve the efficiency of water utilities. Focusing on…

Applications · Statistics 2020-05-12 Jens Kley-Holsteg , Florian Ziel

Current operational air quality forecasts are computationally expensive, sensitive to errors in physics and emissions, and often neglect weather-related uncertainty. To address these limitations, we present AirFusion, a hybrid,…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Ao Ding , Aoxing Zhang , Tzung-May Fu , Yuanlong Huang , Qianjie Chen , Yuyang Chen , Jiajia Mo , Wei Tao , Wai-Chi Cheng , Lei Zhu , Xin Yang , Guy Brasseur

Accurate travel time estimation is essential for navigation and itinerary planning. While existing research employs probabilistic modeling to assess travel time uncertainty and account for correlations between multiple trips, modeling the…

Machine Learning · Computer Science 2024-11-28 Chen Xu , Qiang Wang , Lijun Sun

Modern continuous-time generative models typically induce \emph{V-shaped} flows: each sample travels independently along a nearly straight trajectory from the prior to the data. Although effective, this independent movement overlooks the…

Machine Learning · Computer Science 2026-02-05 Arip Asadulaev , Semyon Semenov , Abduragim Shtanchaev , Eric Moulines , Fakhri Karray , Martin Takac

Constructing valid and informative conformal prediction regions for multi-dimensional outputs remains a fundamental challenge. While conformal prediction provides finite-sample, distribution-free coverage guarantees, its practical…

Machine Learning · Statistics 2026-05-11 Zhenhan Fang , Aixin Tan , Jian Huang

Conditional Normalizing Flows (CNFs) are flexible generative models capable of representing complicated distributions with high dimensionality and large interdimensional correlations, making them appealing for structured output learning.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Mohsen Zand , Ali Etemad , Michael Greenspan

Time series forecasting is vital in diverse sectors such as energy and transportation, where non-stationary dynamics are deeply intertwined with external events in other modalities such as texts. However, incorporating natural…

Machine Learning · Computer Science 2026-05-12 Yunfeng Ge , Ming Jin , Yiji Zhao , Hongyan Li , Bo Du , Chang Xu , Shirui Pan

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