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Spatiotemporal graph neural networks have shown to be effective in time series forecasting applications, achieving better performance than standard univariate predictors in several settings. These architectures take advantage of a graph…

Machine Learning · Computer Science 2023-11-13 Andrea Cini , Ivan Marisca , Daniele Zambon , Cesare Alippi

We identify a strong equivalence between neural network based machine learning (ML) methods and the formulation of statistical data assimilation (DA), known to be a problem in statistical physics. DA, as used widely in physical and…

Machine Learning · Computer Science 2017-10-23 H. D. I. Abarbanel , P. J. Rozdeba , S. Shirman

Graph representation learning has drawn increasing attention in recent years, especially for learning the low dimensional embedding at both node and graph level for classification and recommendations tasks. To enable learning the…

Machine Learning · Computer Science 2022-01-20 Tiehua Zhang , Yuze Liu , Xin Chen , Xiaowei Huang , Feng Zhu , Xi Zheng

Robust integration of physical knowledge and data is key to improve computational simulations, such as Earth system models. Data assimilation is crucial for achieving this goal because it provides a systematic framework to calibrate model…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Yongquan Qu , Juan Nathaniel , Shuolin Li , Pierre Gentine

The increasing availability of Earth observation data offers unprecedented opportunities for large-scale environmental monitoring and analysis. However, these datasets are inherently heterogeneous, stemming from diverse sensors,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Georges Le Bellier , Nicolas Audebert

Obtaining accurate high-resolution representations of model outputs is essential to describe the system dynamics. In general, however, only spatially- and temporally-coarse observations of the system states are available. These observations…

Dynamical Systems · Mathematics 2022-11-08 Mohamad Abed El Rahman Hammoud , Olivier LeMaitre , Edriss S. Titi , Ibrahim Hoteit , Omar Knio

In meteorology, engineering and computer sciences, data assimilation is routinely employed as the optimal way to combine noisy observations with prior model information for obtaining better estimates of a state, and thus better forecasts,…

Geophysics · Physics 2009-08-12 M. J. Werner , K. Ide , D. Sornette

The recent emergence of Distributed Acoustic Sensing (DAS) technology has facilitated the effective capture of traffic-induced seismic data. The traffic-induced seismic wave is a prominent contributor to urban vibrations and contain crucial…

Geophysics · Physics 2024-09-17 Xi Wang , Xin Liu , Songming Zhu , Zhanwen Li , Lina Gao

As the severity and occurrence of flood events tend to intensify with climate change, the need for flood forecasting capability increases. In this regard, the Flood Detection, Alert and rapid Mapping (FloodDAM) project, funded by Space for…

Image and Video Processing · Electrical Eng. & Systems 2023-01-25 Thanh Huy Nguyen , Sophie Ricci , Andrea Piacentini , Christophe Fatras , Peter Kettig , Gwendoline Blanchet , Santiago Pena Luque , Simon Baillarin

In the field of autonomous driving, camera-based perception models are mostly trained on clear weather data. Models that focus on addressing specific weather challenges are unable to adapt to various weather changes and primarily prioritize…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Aiyinsi Zuo , Zhaoliang Zheng

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

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

Ensemble data assimilation is a problem in determining the most likely phase space trajectory of a model of an observed dynamical sys- tem as it receives inputs from measurements passing information to the model. Using methods developed in…

Chaotic Dynamics · Physics 2015-05-13 Henry D. I. Abarbanel

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 MRI-derived brain network serves as a pivotal instrument in elucidating both the structural and functional aspects of the brain, encompassing the ramifications of diseases and developmental processes. However, prevailing methodologies,…

Machine Learning · Computer Science 2024-05-24 Haoteng Tang , Guodong Liu , Siyuan Dai , Kai Ye , Kun Zhao , Wenlu Wang , Carl Yang , Lifang He , Alex Leow , Paul Thompson , Heng Huang , Liang Zhan

Satellite observations play a critical role in numerical weather prediction where they are assimilated through an observation operator that maps model states to radiances. In the traditional Ensemble Kalman Filter, these observations are…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Gian Luca Buono , Stefanie Hollborn , Roland Potthast , Jörg Schäfer , Martin Simon

The multiscale and turbulent nature of Earth's atmosphere has historically rendered accurate weather modeling a hard problem. Recently, there has been an explosion of interest surrounding data-driven approaches to weather modeling, which in…

Geophysics · Physics 2025-07-08 Seth Minor , Daniel A. Messenger , Vanja Dukic , David M. Bortz

Integrating heterogeneous biomedical data including imaging, omics, and clinical records supports accurate diagnosis and personalised care. Graph-based models fuse such non-Euclidean data by capturing spatial and relational structure, yet…

Genomics · Quantitative Biology 2025-05-06 Alireza Sadeghi , Farshid Hajati , Ahmadreza Argha , Nigel H Lovell , Min Yang , Hamid Alinejad-Rokny

Data assimilation (DA) plays a pivotal role in diverse applications, ranging from climate predictions and weather forecasts to trajectory planning for autonomous vehicles. A prime example is the widely used ensemble Kalman filter (EnKF),…

Dynamical Systems · Mathematics 2024-01-03 Mohamad Abed El Rahman Hammoud , Naila Raboudi , Edriss S. Titi , Omar Knio , Ibrahim Hoteit

High-resolution rainfall observations are crucial for weather forecasting, water management, and hazard mitigation. Traditional operational measurements are often biased and low-resolution, limiting their ability to capture local rainfall.…

Machine Learning · Computer Science 2026-05-08 Rafael Pablos Sarabia , Joachim Nyborg , Morten Birk , Ira Assent