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The Data Assimilation (DA) community has been developing various diagnostics to understand the importance of the observing system in accurately forecasting the weather. They usually rely on the ability to compute the derivatives of the…

Atmospheric and Oceanic Physics · Physics 2025-11-03 Patrick Laloyaux , Mihai Alexe , Eulalie Boucher , Peter Lean , Ewan Pinnington , Simon Lang , Tobias Necker , Anthony McNally

Ensemble-based data assimilation (DA) methods have become increasingly popular due to their inherent ability to address nonlinear dynamic problems. However, these methods often face a trade-off between analysis accuracy and computational…

Machine Learning · Computer Science 2026-05-26 Zhilin Li , Zhou Yao , Xianglong Li , Zeng Liu , Zhaokuan Lu , Shanlin Xu , Seungnam Kim , Guangyao Wang

Physical dynamical systems can be viewed as natural information processors: their systems preserve, transform, and disperse input information. This perspective motivates learning not only from data generated by such systems, but also how to…

Machine Learning · Computer Science 2026-03-05 Felix Köster , Atsushi Uchida

The objective of this research is to develop techniques for assimilating GOES-R Series observations in precipitating scenes for the purpose of improving short-term convective-scale forecasts of high impact weather hazards. Whereas one…

Atmospheric and Oceanic Physics · Physics 2020-04-20 Kyle A. Hilburn , Imme Ebert-Uphoff , Steven D. Miller

Time series data in real-world scenarios contain a substantial amount of nonlinear information, which significantly interferes with the training process of models, leading to decreased prediction performance. Therefore, during the time…

Machine Learning · Computer Science 2024-06-05 Dandan Zhang , Zhiqiang Zhang , Nanguang Chen , Yun Wang

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

Hurricanes and coastal floods are among the most disastrous natural hazards. Both are intimately related to storm surges, as their causes and effects, respectively. However, the short-term forecasting of storm surges has proven challenging,…

Data Analysis, Statistics and Probability · Physics 2024-04-10 Patrick Ebel , Brandon Victor , Peter Naylor , Gabriele Meoni , Federico Serva , Rochelle Schneider

The paper proposes a formal estimation procedure for parameters of the fractional Poisson process (fPp). Such procedures are needed to make the fPp model usable in applied situations. The basic idea of fPp, motivated by experimental data…

Methodology · Statistics 2018-06-08 Dexter Cahoy , Vladimir V. Uchaikin , Wojbor A. Woyczynski

Multi-model projections in climate studies are performed to quantify uncertainty and improve reliability in climate projections. The challenging issue is that there is no unique way to obtain performance metrics, nor is there any consensus…

Atmospheric and Oceanic Physics · Physics 2021-09-13 Ehsan Mosadegh , Iman Babaeian

Perception of the full state is an essential technology to support the monitoring, analysis, and design of physical systems, one of whose challenges is to recover global field from sparse observations. Well-known for brilliant approximation…

Artificial Intelligence · Computer Science 2023-02-21 Xiaoyu Zhao , Xiaoqian Chen , Zhiqiang Gong , Weien Zhou , Wen Yao , Yunyang Zhang

Federated learning (FL) is a distributed learning protocol in which a server needs to aggregate a set of models learned some independent clients to proceed the learning process. At present, model averaging, known as FedAvg, is one of the…

Machine Learning · Computer Science 2020-08-12 Kenta Nagura , Song Bian , Takashi Sato

Global climate models parameterize a range of atmospheric-oceanic processes like gravity waves, clouds, moist convection, and turbulence that cannot be sufficiently resolved. These subgrid-scale closures for unresolved processes are a…

Atmospheric and Oceanic Physics · Physics 2025-09-05 Aman Gupta , Aditi Sheshadri , Sujit Roy , Johannes Schmude , Vishal Gaur , Wei Ji Leong , Manil Maskey , Rahul Ramachandran

Terrain elevation modeling for off-road navigation aims to accurately estimate changes in terrain geometry in real-time and quantify the corresponding uncertainties. Having precise estimations and uncertainties plays a crucial role in…

Robotics · Computer Science 2025-08-11 Sanghun Jung , Daehoon Gwak , Byron Boots , James Hays

Uncertainty estimation is an important research area to make deep neural networks (DNNs) more trustworthy. While extensive research on uncertainty estimation has been conducted with unimodal data, uncertainty estimation for multimodal data…

Machine Learning · Computer Science 2023-10-24 Myong Chol Jung , He Zhao , Joanna Dipnall , Lan Du

We describe a spectrally-filtered discrete-in-time downscaling data assimilation algorithm and prove, in the context of the two-dimensional Navier--Stokes equations, that this algorithm works for a general class of interpolants, such as…

Dynamical Systems · Mathematics 2019-03-18 Emine Celik , Eric Olson , Edriss S. Titi

This paper applies variational data assimilation to inundation problems governed by the shallow water equations with wetting and drying. The objective of the assimilation is to recover an unknown time-varying wave profile at an open ocean…

Fluid Dynamics · Physics 2017-06-07 S. W Funke , P. E Farrell , M. D. Piggott

Due to limited computational resources, medium-range temperature forecasts typically rely on low-resolution numerical weather prediction (NWP) models, which are prone to systematic and random errors. We propose a method that integrates a…

Atmospheric and Oceanic Physics · Physics 2026-04-09 Takuya Inoue , Takuya Kawabata

Miscalibration - a mismatch between a model's confidence and its correctness - of Deep Neural Networks (DNNs) makes their predictions hard to rely on. Ideally, we want networks to be accurate, calibrated and confident. We show that, as…

Machine Learning · Computer Science 2020-10-27 Jishnu Mukhoti , Viveka Kulharia , Amartya Sanyal , Stuart Golodetz , Philip H. S. Torr , Puneet K. Dokania

The understanding of nonlinear, high dimensional flows, e.g, atmospheric and ocean flows, is critical to address the impacts of global climate change. Data Assimilation techniques combine physical models and observational data, often in a…

The ability to make educated predictions about their surroundings, and associate them with certain confidence, is important for intelligent systems, like autonomous vehicles and robots. It allows them to plan early and decide accordingly.…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Liqian Ma , Stamatios Georgoulis , Xu Jia , Luc Van Gool