most citedPhysics-embedded Fourier Neural Network for Partial Differential Equations

2 citations · 2 across the 2 of their papers we have counts for

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cs.LG20251 cited

Physically consistent and uncertainty-aware learning of spatiotemporal dynamics

Qingsong Xu, Jonathan L Bamber, Nils Thuerey +5

Accurate long-term forecasting of spatiotemporal dynamics remains a fundamental challenge across scientific and engineering domains. Existing machine learning methods often neglect…

cs.LG2024

How Certain are Uncertainty Estimates? Three Novel Earth Observation Datasets for Benchmarking Uncertainty Quantification in Machine Learning

Yuanyuan Wang, Qian Song, Dawood Wasif +4

Uncertainty quantification (UQ) is essential for assessing the reliability of Earth observation (EO) products. However, the extensive use of machine learning models in EO introduce…

cs.LG20242 cited

Physics-embedded Fourier Neural Network for Partial Differential Equations

Qingsong Xu, Nils Thuerey, Yilei Shi +3

We consider solving complex spatiotemporal dynamical systems governed by partial differential equations (PDEs) using frequency domain-based discrete learning approaches, such as Fo…

cs.LG20242 cited

Large-scale flood modeling and forecasting with FloodCast

Qingsong Xu, Yilei Shi, Jonathan Bamber +2

Large-scale hydrodynamic models generally rely on fixed-resolution spatial grids and model parameters as well as incurring a high computational cost. This limits their ability to a…

cs.LG2023

Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology

Qingsong Xu, Yilei Shi, Jonathan Bamber +3

Accurate hydrological understanding and water cycle prediction are crucial for addressing scientific and societal challenges associated with the management of water resources, part…