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Numerical simulations are essential tools to evaluate the solution of the wave equation in complex settings, such as three-dimensional (3D) domains with heterogeneous properties. However, their application is limited by high computational…

Machine Learning · Computer Science 2025-04-09 Fanny Lehmann , Filippo Gatti , Didier Clouteau

Algebraic or geometric multigrid methods are commonly used in numerical solvers as they are a multi-resolution method able to handle problems with multiple scales. In this work, we propose a modification to the commonly-used U-Net neural…

Fluid Dynamics · Physics 2021-05-11 Quang Tuyen Le , Chin Chun Ooi

Identification of a groundwater contaminant source simultaneously with the hydraulic conductivity in highly-heterogeneous media often results in a high-dimensional inverse problem. In this study, a deep autoregressive neural network-based…

Machine Learning · Statistics 2019-03-19 Shaoxing Mo , Nicholas Zabaras , Xiaoqing Shi , Jichun Wu

Ever faster computers are enabling us to extend our standard land use transportation interaction (LUTI) models to systems of cities within which individual cities compete for resources within the wider environment in which they interact.As…

Physics and Society · Physics 2023-12-07 Michael Batty , Richard Milton

The complex and computationally expensive nature of landscape evolution models pose significant challenges in the inference and optimisation of unknown parameters. Bayesian inference provides a methodology for estimation and uncertainty…

Machine Learning · Statistics 2020-06-30 Rohitash Chandra , Danial Azam , Arpit Kapoor , R. Dietmar Müller

Managing natural resources and mitigating risks from floods, droughts, wildfires, and landslides require models that can accurately predict climate-driven land-surface responses. Traditional models often struggle with spatial generalization…

Machine Learning · Computer Science 2026-02-03 Nicholas Kraabel , Jiangtao Liu , Yuchen Bian , Daniel Kifer , Chaopeng Shen

Understanding the earth's climate system and how it might be changing is a preeminent scientific challenge. Global climate models are used to simulate past, present, and future climates, and experiments are executed continuously on an array…

Accurate short-term predictions of phase-resolved water wave conditions are crucial for decision-making in ocean engineering. However, the initialization of remote-sensing-based wave prediction models first requires a reconstruction of wave…

Atmospheric and Oceanic Physics · Physics 2024-01-11 Svenja Ehlers , Marco Klein , Alexander Heinlein , Mathies Wedler , Nicolas Desmars , Norbert Hoffmann , Merten Stender

We present a machine learning framework for adaptive source localization in which agents use a structure-preserving digital twin of a coupled hydrodynamic-transport system for real-time trajectory planning and data assimilation. The twin is…

Machine Learning · Computer Science 2025-09-15 Benjamin David Shaffer , Brooks Kinch , Joseph Klobusicky , M. Ani Hsieh , Nathaniel Trask

Data-driven modeling of spatiotemporal physical processes with general deep learning methods is a highly challenging task. It is further exacerbated by the limited availability of data, leading to poor generalizations in standard neural…

Machine Learning · Computer Science 2021-04-14 Timothy Praditia , Matthias Karlbauer , Sebastian Otte , Sergey Oladyshkin , Martin V. Butz , Wolfgang Nowak

Autoregressive learning of time-stepping operators provides an effective approach to data-driven partial differential equation (PDE) simulation, yet for conservation laws, they face a fundamental challenge: learned updates may violate…

Materials Science · Physics 2026-05-27 Zishuo Lan , Junjie Li , Lei Wang , Jincheng Wang

Inverse modeling for computing a high-dimensional spatially-varying property field from indirect sparse and noisy observations is a challenging problem. This is due to the complex physical system of interest often expressed in the form of…

Computational Physics · Physics 2021-02-22 Govinda Anantha Padmanabha , Nicholas Zabaras

Deep-learning-based surrogate models show great promise for use in geological carbon storage operations. In this work we target an important application - the history matching of storage systems characterized by a high degree of (prior)…

Computer Vision and Pattern Recognition · Computer Science 2024-02-05 Yifu Han , Francois P. Hamon , Su Jiang , Louis J. Durlofsky

In non-terrestrial networks (NTN), high-speed satellite orbital motion, limited pilot signaling resources, and spatiotemporally heterogeneous traffic make accurate channel and traffic state characterization particularly challenging. In this…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Xinyu Huang , Yixiao Zhang , Xue Qin , Mingcheng He , Junling Li , Weihua Zhuang , Xuemin Shen

Accurate and computationally-viable representations of clouds and turbulence are a long-standing challenge for climate model development. Traditional parameterizations that crudely but efficiently approximate these processes are a leading…

Atmospheric and Oceanic Physics · Physics 2024-01-05 Jerry Lin , Mohamed Aziz Bhouri , Tom Beucler , Sungduk Yu , Michael Pritchard

Solving multiphysics-based inverse problems for geological carbon storage monitoring can be challenging when multimodal time-lapse data are expensive to collect and costly to simulate numerically. We overcome these challenges by combining…

Geophysics · Physics 2023-10-24 Ziyi Yin , Rafael Orozco , Mathias Louboutin , Felix J. Herrmann

The solar wind, a continuous outflow of charged particles from the Sun's corona, shapes the heliosphere and impacts space systems near Earth. Accurate prediction of features such as high-speed streams and coronal mass ejections is critical…

Machine Learning · Computer Science 2026-03-20 Reza Mansouri , Dustin Kempton , Pete Riley , Rafal Angryk

Paleoclimatic measurements serve to understand Earth System processes and evaluate climate model performances. However, their spatial coverage is generally sparse and unevenly distributed across the globe. Statistical interpolation methods…

Real-world flow applications in complex scientific and engineering domains, such as geosciences, challenge classical simulation methods due to large spatial domains, high spatio-temporal resolution requirements, and potentially strong…

Machine Learning · Computer Science 2026-02-03 Julia Pelzer , Corné Verburg , Alexander Heinlein , Miriam Schulte

Accurately describing the distribution of CO$_2$ in the atmosphere with atmospheric tracer transport models is essential for greenhouse gas monitoring and verification support systems to aid implementation of international climate…

Machine Learning · Computer Science 2024-08-21 Vitus Benson , Ana Bastos , Christian Reimers , Alexander J. Winkler , Fanny Yang , Markus Reichstein
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