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The forecast of tropical cyclone trajectories is crucial for the protection of people and property. Although forecast dynamical models can provide high-precision short-term forecasts, they are computationally demanding, and current…

Atmospheric and Oceanic Physics · Physics 2020-01-13 Sophie Giffard-Roisin , Mo Yang , Guillaume Charpiat , Christina Kumler-Bonfanti , Balázs Kégl , Claire Monteleoni

Data assimilation has become a key technique for combining physical models with observational data to estimate state variables. However, classical assimilation algorithms often struggle with the high nonlinearity present in both physical…

Machine Learning · Computer Science 2025-07-22 Zhuoyuan Li , Bin Dong , Pingwen Zhang

Scientists often use observational time series data to study complex natural processes, but regression analyses often assume simplistic dynamics. Recent advances in deep learning have yielded startling improvements to the performance of…

Machine Learning · Computer Science 2023-04-21 Cory Shain , William Schuler

Using a dynamical model to make predictions about a system has many sources of error. These can include errors in how the model was initialised but also errors in the dynamics of the model itself. For many applications in data assimilation,…

Numerical Analysis · Mathematics 2025-07-07 P. A. Browne

We consider the problem of forecasting complex, nonlinear space-time processes when observations provide only partial information of on the system's state. We propose a natural data-driven framework, where the system's dynamics are modelled…

Systems and Control · Computer Science 2019-03-01 Ibrahim Ayed , Emmanuel de Bézenac , Arthur Pajot , Julien Brajard , Patrick Gallinari

We formulate a strong equivalence between machine learning, artificial intelligence methods and the formulation of statistical data assimilation as used widely in physical and biological sciences. The correspondence is that layer number in…

Artificial Intelligence · Computer Science 2017-07-06 Henry Abarbanel , Paul Rozdeba , Sasha Shirman

There is a significant need for precise and reliable forecasting of the far-field noise emanating from shipping vessels. Conventional full-order models based on the Navier-Stokes equations are unsuitable, and sophisticated model reduction…

Machine Learning · Computer Science 2024-04-15 Indu Kant Deo , Akash Venkateshwaran , Rajeev K. Jaiman

Data assimilation involves estimating the state of a system by combining observations from various sources with a background estimate of the state. The weights given to the observations and background state depend on their specified error…

Numerical Analysis · Mathematics 2025-03-13 Olivier Goux , Anthony Weaver , Selime Gürol , Oliver Guillet , Andrea Piacentini

The nudging data assimilation algorithm is a powerful tool used to forecast phenomena of interest given incomplete and noisy observations. Machine learning is becoming increasingly popular in data assimilation given its ease of computation…

Numerical Analysis · Mathematics 2021-11-24 Harbir Antil , Rainald Löhner , Randy Price

The interest for change detection in the field of remote sensing has increased in the last few years. Searching for changes in satellite images has many useful applications, ranging from land cover and land use analysis to anomaly…

Computer Vision and Pattern Recognition · Computer Science 2021-07-14 Antonio Di Pilato , Nicolò Taggio , Alexis Pompili , Michele Iacobellis , Adriano Di Florio , Davide Passarelli , Sergio Samarelli

We propose a novel learning-based surrogate data assimilation (DA) model for efficient state estimation in a limited area. Our model employs a feedforward neural network for online computation, eliminating the need for integrating…

Numerical Analysis · Mathematics 2023-07-17 Wei Kang , Liang Xu , Hong Zhou

Joint models for longitudinal and time-to-event data are commonly used in longitudinal studies to forecast disease trajectories over time. While there are many advantages to joint modeling, the standard forms suffer from limitations that…

Machine Learning · Statistics 2019-09-09 Bryan Lim , Mihaela van der Schaar

In astronomy, neural networks are often trained on simulation data with the prospect of being used on telescope observations. Unfortunately, training a model on simulation data and then applying it to instrument data leads to a substantial…

Instrumentation and Methods for Astrophysics · Physics 2021-07-16 A. Ćiprijanović , D. Kafkes , K. Downey , S. Jenkins , G. N. Perdue , S. Madireddy , T. Johnston , G. F. Snyder , B. Nord

Optical satellite image time series are extensively used in many Earth observation applications, including agriculture, climate monitoring, and land surface analysis. However, clouds and swath edges result in irregular sampling along the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Véronique Defonte , Dawa Derksen , Alexandre Constantin , Bastien Nespoulous

Artificial neural networks (ANNs) have evolved from the 1940s primitive models of brain function to become tools for artificial intelligence. They comprise many units, artificial neurons, interlinked through weighted connections. ANNs are…

Signal Processing · Electrical Eng. & Systems 2024-04-16 Artur Matysiak , Volker Roeber , Henrik Kalisch , Reinhard König , Patrick J. C. May

Climate models (CM) are used to evaluate the impact of climate change on the risk of floods and strong precipitation events. However, these numerical simulators have difficulties representing precipitation events accurately, mainly due to…

Computational Engineering, Finance, and Science · Computer Science 2021-02-15 Rilwan Adewoyin , Peter Dueben , Peter Watson , Yulan He , Ritabrata Dutta

Skilful Machine Learned weather forecasts have challenged our approach to numerical weather prediction, demonstrating competitive performance compared to traditional physics-based approaches. Data-driven systems have been trained to…

The use of remote sensing in humanitarian crisis response missions is well-established and has proven relevant repeatedly. One of the problems is obtaining gold annotations as it is costly and time consuming which makes it almost impossible…

Computer Vision and Pattern Recognition · Computer Science 2022-02-11 Adrianna Janik , Kris Sankaran

Edge learning refers to training machine learning models deployed on edge platforms, typically using new data accumulated onboard. The computational limitations on edge devices affect not only model optimisation, but also calculation of the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Anh Vu Nguyen , Dino Sejdinovic , Tat-Jun Chin

This paper presents a practical computational approach to quantify the effect of individual observations in estimating the state of a system. Such an analysis can be used for pruning redundant measurements, and for designing future sensor…

Computational Engineering, Finance, and Science · Computer Science 2013-07-22 Alexandru Cioaca , Adrian Sandu , Eric de Sturler