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The generation of initial conditions via accurate data assimilation is crucial for weather forecasting and climate modeling. We propose DiffDA as a denoising diffusion model capable of assimilating atmospheric variables using predicted…

Computational Engineering, Finance, and Science · Computer Science 2024-06-11 Langwen Huang , Lukas Gianinazzi , Yuejiang Yu , Peter D. Dueben , Torsten Hoefler

In this computational paper, we perform sensitivity analysis of long-time (or ensemble) averages in the chaotic regime using the shadowing algorithm. We introduce automatic differentiation to eliminate the tangent/adjoint equation solvers…

Dynamical Systems · Mathematics 2020-11-18 Nisha Chandramoorthy , Luca Magri , Qiqi Wang

Data assimilation (DA) in the geophysical sciences remains the cornerstone of robust forecasts from numerical models. Indeed, DA plays a crucial role in the quality of numerical weather prediction, and is a crucial building block that has…

The space weather community has begun to use frontier methods such as data assimilation, machine learning, and ensemble modeling to advance current operational forecasting efforts. This was highlighted by a multi-disciplinary session at the…

Space Physics · Physics 2018-11-22 Sophie A. Murray

In the past couple of years, there is a proliferation in the use of machine learning approaches to represent subgrid scale processes in geophysical flows with an aim to improve the forecasting capability and to accelerate numerical…

Computational Physics · Physics 2021-04-13 Suraj Pawar , Omer San

Data assimilation techniques, developed in the last two decades mainly for weather prediction, produce better forecasts by taking advantage of both theoretical/numerical models and real-time observations. In this paper, we explore the…

Astrophysics · Physics 2015-05-13 Eric Bélanger , Alain Vincent , Paul Charbonneau

Tackling the difficult problem of estimating spatially distributed hydrological parameters, especially for floods on ungauged watercourses, this contribution presents a novel seamless regionalization technique for learning complex regional…

Machine Learning · Computer Science 2023-07-07 Ngo Nghi Truyen Huynh , Pierre-André Garambois , François Colleoni , Benjamin Renard , Hélène Roux

This paper focuses on continuous data assimilation (CDA) for the Navier-Stokes equations with nonlinear slip boundary conditions. CDA methods are typically employed to recover the original system when initial data or viscosity coefficients…

Numerical Analysis · Mathematics 2025-03-28 W. C. Wu , H. Y. Dong , K. Wang

This paper presents and investigates a novel methodology for validating high-resolution ocean models using satellite imagery. High-resolution ocean models provide detailed information in coastal areas where other available data products are…

Atmospheric and Oceanic Physics · Physics 2025-01-28 G. Garcia-Sanchez , A. M. Mancho , A. G. Ramos , J. Coca , J. A. Jimenez-Madrid

As climate change intensifies, the urgency for accurate global-scale disaster predictions grows. This research presents a novel multimodal disaster prediction framework, combining weather statistics, satellite imagery, and textual insights.…

Machine Learning · Computer Science 2023-10-02 Gengyin Liu , Huaiyang Zhong

This paper combines fisheries dependent data and environmental data to be used in a machine learning pipeline to predict the spatio-temporal abundance of two species (plaice and sole) commonly caught by the Belgian fishery in the North Sea.…

Computer Vision and Pattern Recognition · Computer Science 2022-05-05 Matthieu Ospici , Klaas Sys , Sophie Guegan-Marat

Non-Gaussian statistics are a challenge for data assimilation. Linear methods oversimplify the problem, yet fully nonlinear methods are often too expensive to use in practice. The best solution usually lies between these extremes.…

Computation · Statistics 2026-03-20 Berent Å. S. Lunde , Maximilian Ramgraber

Oceanic wave propagation through Earth's sea ice covers is a critical component of accurate ice and climate modeling. Continuum models of the polar ocean surface layer are characterized rheologically by the effective complex viscoelasticity…

Geophysics · Physics 2024-12-03 C. Sampson , D. Hallman , N. B. Murphy , E. Cherkaev , K. M. Golden

An Ensemble of Data Assimilations (EDA) can provide valuable information on the analysis and short-range forecast uncertainties. The present ECMWF operational ocean analysis and reanalysis system, called ORAS5, produces an ensemble but does…

Atmospheric and Oceanic Physics · Physics 2024-07-08 Marcin Chrust , Anthony T. Weaver , Philip Browne , Hao Zuo , Magdalena Alonso Balmaseda

We describe our submission to the Extreme Value Analysis 2019 Data Challenge in which teams were asked to predict extremes of sea surface temperature anomaly within spatio-temporal regions of missing data. We present a computational…

Machine Learning · Computer Science 2020-10-09 Tomislav Ivek , Domagoj Vlah

This chapter provides various perspective on an important challenge in data assimilation: model error. While the overall goal is to understand the implication of model error of any type in data assimilation, we emphasize on the effect of…

Dynamical Systems · Mathematics 2015-07-02 John Harlim

Arctic sea ice plays an important role in the global climate. Sea ice models governed by physical equations have been used to simulate the state of the ice including characteristics such as ice thickness, concentration, and motion. More…

State estimation in multi-layer turbulent flow fields with only a single layer of partial observation remains a challenging yet practically important task. Applications include inferring the state of the deep ocean by exploiting surface…

Fluid Dynamics · Physics 2025-09-30 Zhongrui Wang , Nan Chen , Di Qi

Safety-critical navigation applications require that estimation errors be reliably quantified and bounded. This can be challenging for linear dynamic systems if the process noise or measurement errors have uncertain time correlation. In…

Signal Processing · Electrical Eng. & Systems 2020-09-22 Omar Garcia Crespillo , Mathieu Joerger , Steve Langel

Boundary condition tuning is a fundamental step in patient-specific cardiovascular modeling. Despite an increase in offline training cost, recent methods in data-driven variational inference can efficiently estimate the joint posterior…

Machine Learning · Computer Science 2026-03-23 Chloe H. Choi , Alison L. Marsden , Daniele E. Schiavazzi