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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

Fourier Neural Operators (FNOs) excel on tasks using functional data, such as those originating from partial differential equations. Such characteristics render them an effective approach for simulating the time evolution of quantum…

The Fourier neural operator (FNO) framework is applied to the large eddy simulation (LES) of three-dimensional compressible Rayleigh-Taylor (RT) turbulence with miscible fluids at Atwood number $A_t=0.5$, stratification parameter $Sr=1.0$,…

Fluid Dynamics · Physics 2024-07-03 Tengfei Luo , Zhijie Li , Zelong Yuan , Wenhui Peng , Tianyuan Liu , Liangzhu , Wang , Jianchun Wang

Radiative heat transfer is a fundamental process in high energy density physics and inertial fusion. Accurately predicting the behavior of Marshak waves across a wide range of material properties and drive conditions is crucial for design…

Computational Physics · Physics 2024-05-08 Joseph Farmer , Ethan Smith , William Bennett , Ryan McClarren

Vision transformers have delivered tremendous success in representation learning. This is primarily due to effective token mixing through self attention. However, this scales quadratically with the number of pixels, which becomes infeasible…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 John Guibas , Morteza Mardani , Zongyi Li , Andrew Tao , Anima Anandkumar , Bryan Catanzaro

Neural operators (NOs) are designed to learn maps between infinite-dimensional function spaces. We propose a novel reframing of their use. By introducing an auxiliary base-space, any finite-dimensional function can be viewed as an operator…

Machine Learning · Computer Science 2026-05-11 Vasilis Niarchos , Angelos Sirbu , Sokratis Trifinopoulos

4D seismic imaging has been widely used in CO$_2$ sequestration projects to monitor the fluid flow in the volumetric subsurface region that is not sampled by wells. Ideally, real-time monitoring and near-future forecasting would provide…

Geophysics · Physics 2021-12-07 Shihang Feng , Xitong Zhang , Brendt Wohlberg , Neill Symons , Youzuo Lin

The increasing complexity and energy demands of large-scale neural networks, such as Deep Neural Networks (DNNs) and Large Language Models (LLMs), challenge their practical deployment in edge applications due to high power consumption, area…

Neural and Evolutionary Computing · Computer Science 2026-05-18 Ckristian Duran , Nanako Kimura , Zolboo Byambadorj , Tetsuya Iizuka

Deep Learning methods have seen a wide range of successful applications across different industries. Up until now, applications to physical simulations such as CFD (Computational Fluid Dynamics), have been limited to simple test-cases of…

Machine Learning · Computer Science 2024-05-20 Giuseppe Bruni , Sepehr Maleki , Senthil K. Krishnababu

We formulate mold filling in metal casting as a 2D neural operator learning problem that maps geometry and boundary data on an unstructured mesh to time resolved flow quantities, replacing expensive transient CFD. In the proposed method, a…

Computational Engineering, Finance, and Science · Computer Science 2025-10-31 Edgard Moreira Minete , Mathis Immertreu , Fabian Teichmann , Sebastian Müller

Fast assimilation of monitoring data to update forecasts of pressure buildup and carbon dioxide (CO2) plume migration under geologic uncertainties is a challenging problem in geologic carbon storage. The high computational cost of data…

Accurate long-term forecasting of spatiotemporal dynamics remains a fundamental challenge across scientific and engineering domains. Existing machine learning methods often neglect governing physical laws and fail to quantify inherent…

Machine Learning · Computer Science 2025-10-27 Qingsong Xu , Jonathan L Bamber , Nils Thuerey , Niklas Boers , Paul Bates , Gustau Camps-Valls , Yilei Shi , Xiao Xiang Zhu

Flexible intelligent metasurfaces (FIMs) offer a new solution for wireless communications by introducing morphological degrees of freedom, dynamically morphing their three-dimensional shape to ensure multipath signals interfere…

Information Theory · Computer Science 2026-04-08 Jian Xiao , Ji Wang , Qimei Cui , Yucang Yang , Xingwang Li , Dusit Niyato , Chau Yuen

As repositories of large scale data in earth observation (EO) have grown, so have transfer and storage costs for model training and inference, expending significant resources. We introduce Neural Embedding Compression (NEC), based on the…

Machine Learning · Computer Science 2024-07-11 Carlos Gomes , Thomas Brunschwiler

Predicting plasma evolution within a Tokamak reactor is crucial to realizing the goal of sustainable fusion. Capabilities in forecasting the spatio-temporal evolution of plasma rapidly and accurately allow us to quickly iterate over design…

This paper proposes a physics-informed neural operator (PINO) framework for solving inverse scattering problems, enabling rapid and accurate reconstructions under diverse measurement conditions. In the proposed approach, the dielectric…

Computational Physics · Physics 2026-03-27 Q. C. Dong , Zi-Xuan Su , Qing Huo Liu , Wen Chen , Zhizhang , Chen

Deep learning methods are emerging as popular computational tools for solving forward and inverse problems in traffic flow. In this paper, we study a neural operator framework for learning solutions to nonlinear hyperbolic partial…

Machine Learning · Computer Science 2024-06-26 Bilal Thonnam Thodi , Sai Venkata Ramana Ambadipudi , Saif Eddin Jabari

Accurate prediction of three-dimensional (3D) wind fields over complex mountainous terrain is essential for renewable energy deployment and regional weather modeling. Traditional computational fluid dynamics (CFD) simulations face two…

Fluid Dynamics · Physics 2026-05-26 Yujia Zhang , Jiaxi Qi , Ruiyan Chen , Yong Liu , Yuzhou Zhang , Lyulin Kuang , Rita Zhang , Shengze Cai

Computational Fluid Dynamics (CFD) has become an indispensable tool in the optimization design, and evaluation of aircraft aerodynamics. However, solving the Navier-Stokes (NS) equations is a time-consuming, memory demanding and…

Fluid Dynamics · Physics 2023-12-08 Kuijun Zuo , Zhengyin Ye , Shuhui Bu , Xianxu Yuan , Weiwei Zhang

Carbon capture and storage (CCS) plays a crucial role in mitigating greenhouse gas emissions, particularly from industrial outputs. Using seismic monitoring can aid in an accurate and robust monitoring system to ensure the effectiveness of…

Geophysics · Physics 2025-04-01 Xinquan Huang , Fu Wang , Tariq Alkhalifah
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