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Accurate representations of unknown and sub-grid physical processes through parameterizations (or closure) in numerical simulations with quantified uncertainty are critical for resolving the coarse-grained partial differential equations…

Machine Learning · Computer Science 2024-05-08 Yongquan Qu , Mohamed Aziz Bhouri , Pierre Gentine

In the framework of solid mechanics, the task of deriving material parameters from experimental data has recently re-emerged with the progress in full-field measurement capabilities and the renewed advances of machine learning. In this…

Computational Engineering, Finance, and Science · Computer Science 2026-01-27 Ulrich Römer , Stefan Hartmann , Jendrik-Alexander Tröger , David Anton , Henning Wessels , Moritz Flaschel , Laura De Lorenzis

We explore how neural differential equations (NDEs) may be trained on highly resolved fluid-dynamical models of unresolved scales providing an ideal framework for data-driven parameterizations in climate models. NDEs overcome some of the…

Data-driven machine learning models often require extensive datasets, which can be costly or inaccessible, and their predictions may fail to comply with established physical laws. Current approaches for incorporating physical priors…

Machine Learning · Computer Science 2025-11-19 Matilde Valente , Tiago C. Dias , Vasco Guerra , Rodrigo Ventura

Climate models are complicated software systems that approximate atmospheric and oceanic fluid mechanics at a coarse spatial resolution. Typical climate forecasts only explicitly resolve processes larger than 100 km and approximate any…

This work focuses on estimating soil properties from water moisture measurements. We consider simulated data generated by solving the initial-boundary value problem governing vertical infiltration in a homogeneous, bounded soil profile,…

Geophysics · Physics 2025-06-06 Konstantinos Kalimeris , Leonidas Mindrinos , Nikolaos Pallikarakis

Persistent systematic errors in Earth system models (ESMs) arise from difficulties in representing the full diversity of subgrid, multiscale atmospheric convection and turbulence. Machine learning (ML) parameterizations trained on short…

Atmospheric and Oceanic Physics · Physics 2026-05-18 Helge Heuer , Tom Beucler , Mierk Schwabe , Julien Savre , Manuel Schlund , Veronika Eyring

Imaging Earth structure or seismic sources from seismic data involves minimizing a target misfit function, and is commonly solved through gradient-based optimization. The adjoint-state method has been developed to compute the gradient…

Computational Physics · Physics 2021-04-28 Weiqiang Zhu , Kailai Xu , Eric Darve , Gregory C. Beroza

We are concerned with high-fidelity subsurface imaging of the soil, which commonly arises in geotechnical site characterization and geophysical explorations. Specifically, we attempt to image the spatial distribution of the Lame parameters…

Numerical Analysis · Mathematics 2015-10-28 Arash Fathi , Loukas F. Kallivokas , Babak Poursartip

Sidescan sonar intensity encodes information about the changes of surface normal of the seabed. However, other factors such as seabed geometry as well as its material composition also affect the return intensity. One can model these…

Robotics · Computer Science 2022-08-25 Yiping Xie , Nils Bore , John Folkesson

Global climate models represent small-scale processes such as clouds and convection using quasi-empirical models known as parameterizations, and these parameterizations are a leading cause of uncertainty in climate projections. A promising…

Atmospheric and Oceanic Physics · Physics 2020-08-31 Janni Yuval , Paul A. O'Gorman

Progress in automatic control of thermal processes and real-time estimation of heat penetration into live tissue has long been limited by the difficulty of obtaining high-fidelity thermodynamic models. Traditionally, in complex…

Computer Vision and Pattern Recognition · Computer Science 2022-07-20 Hamza El-Kebir , Yongseok Lee , Joseph Bentsman

Since model bias and associated initialization shock are serious shortcomings that reduce prediction skills in state-of-the-art decadal climate prediction efforts, we pursue a complementary machine-learning-based approach to climate…

Atmospheric and Oceanic Physics · Physics 2022-11-09 Xihaier Luo , Balasubramanya T. Nadiga , Yihui Ren , Ji Hwan Park , Wei Xu , Shinjae Yoo

In this work, we employ neural fields, which use neural networks to map a coordinate to the corresponding physical property value at that coordinate, in a test-time learning manner. For a test-time learning method, the weights are learned…

Machine Learning · Computer Science 2025-07-25 Anran Xu , Lindsey J. Heagy

Machine learning (ML) techniques, especially neural networks (NNs), have shown promise in learning subgrid-scale parameterizations for climate models. However, a major problem with data-driven parameterizations, particularly those learned…

Atmospheric and Oceanic Physics · Physics 2024-07-17 Hamid A. Pahlavan , Pedram Hassanzadeh , M. Joan Alexander

Parameter retrieval and model inversion are key problems in remote sensing and Earth observation. Currently, different approximations exist: a direct, yet costly, inversion of radiative transfer models (RTMs); the statistical inversion with…

Signal Processing · Electrical Eng. & Systems 2021-04-22 Daniel Heestermans Svendsen , Pablo Morales-Alvarez , Ana Belen Ruescas , Rafael Molina , Gustau Camps-Valls

We present a physics-based inverse rendering method that learns the illumination, geometry, and materials of a scene from posed multi-view RGB images. To model the illumination of a scene, existing inverse rendering works either completely…

Computer Vision and Pattern Recognition · Computer Science 2023-12-04 Youming Deng , Xueting Li , Sifei Liu , Ming-Hsuan Yang

For numerous earth observation applications, one may benefit from various satellite sensors to address the reconstruction of some process or information of interest. A variety of satellite sensors deliver observation data with different…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Ronan Fablet , Bertrand Chapron

Parameter estimation for dynamical systems remains challenging due to non-convexity and sensitivity to initial parameter guesses. Recent deep learning approaches enable accurate and fast parameter estimation but do not exploit transferable…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Fabian Raisch , Timo Germann , J. Nathan Kutz , Christoph Goebel , Benjamin Tischler

Machine learning is playing an increasing role in hydrology, supplementing or replacing physics-based models. One notable example is the use of recurrent neural networks (RNNs) for forecasting streamflow given observed precipitation and…

Computational Physics · Physics 2024-12-09 Mauricio Lima , Katherine Deck , Oliver R. A. Dunbar , Tapio Schneider