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Density functional theory (DFT) is a cornerstone of computational chemistry and materials science, but its computational cost limits its use in large-scale and high-throughput applications. While machine learning has accelerated energy…

Chemical Physics · Physics 2026-03-18 Yingdi Jin , Xinming Qin , Ruichen Liu , Jie Liu , Zhenyu Li , Jinlong Yang

Fourier Neural Operators (FNOs) have demonstrated exceptional accuracy in mapping functional spaces by leveraging Fourier transforms to establish a connection with underlying physical principles. However, their opaque inner workings often…

Fluid Dynamics · Physics 2025-11-04 Marco Cayuela , Vincent Le Chenadec , Peter Schmid , Taraneh Sayadi

Neural Operators (NOs) are a leading method for surrogate modeling of partial differential equations. Unlike traditional neural networks, which approximate individual functions, NOs learn the mappings between function spaces. While NOs have…

Astrophysics of Galaxies · Physics 2025-08-01 Keith Poletti , Stella S. R. Offner , Rachel A. Ward

Simulation tools for photoacoustic wave propagation have played a key role in advancing photoacoustic imaging by providing quantitative and qualitative insights into parameters affecting image quality. Classical methods for numerically…

Image and Video Processing · Electrical Eng. & Systems 2023-03-14 Steven Guan , Ko-Tsung Hsu , Parag V. Chitnis

Fourier neural operators (FNOs) provide a mesh-independent way to learn solution operators for partial differential equations, yet their efficacy for magnetized turbulence is largely unexplored. Here we train an FNO surrogate for the 2-D…

High Energy Astrophysical Phenomena · Physics 2025-07-03 Roberta Duarte , Rodrigo Nemmen , Reinaldo Santos-Lima

Fourier Neural Operators (FNO) offer a principled approach to solving challenging partial differential equations (PDE) such as turbulent flows. At the core of FNO is a spectral layer that leverages a discretization-convergent representation…

Machine Learning · Computer Science 2024-03-06 Robert Joseph George , Jiawei Zhao , Jean Kossaifi , Zongyi Li , Anima Anandkumar

In the study of subsurface seismic imaging, solving the acoustic wave equation is a pivotal component in existing models. The advancement of deep learning enables solving partial differential equations, including wave equations, by applying…

Machine Learning · Computer Science 2023-03-10 Bian Li , Hanchen Wang , Shihang Feng , Xiu Yang , Youzuo Lin

Deep learning-based surrogate models have been widely applied in geological carbon storage (GCS) problems to accelerate the prediction of reservoir pressure and CO2 plume migration. Large amounts of data from physics-based numerical…

Machine Learning · Statistics 2024-01-11 Hewei Tang , Qingkai Kong , Joseph P. Morris

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

Next-generation multiple-input multiple-output (MIMO) systems, characterized by extremely large-scale arrays, holographic surfaces, three-dimensional architectures, and flexible antennas, are poised to deliver unprecedented data rates,…

Information Theory · Computer Science 2025-10-07 Jian Xiao , Ji Wang , Qi Sun , Qimei Cui , Xingwang Li , Dusit Niyato , Chih-Lin I

Predicting plasma evolution within a Tokamak is crucial to building a sustainable fusion reactor. Whether in the simulation space or within the experimental domain, the capability to forecast the spatio-temporal evolution of plasma field…

Plasma Physics · Physics 2023-02-14 Vignesh Gopakumar , Stanislas Pamela , Lorenzo Zanisi , Zongyi Li , Anima Anandkumar , MAST Team

Fourier Neural Operators (FNOs) have proven to be an efficient and effective method for resolution-independent operator learning in a broad variety of application areas across scientific machine learning. A key reason for their success is…

We propose the Factorized Fourier Neural Operator (F-FNO), a learning-based approach for simulating partial differential equations (PDEs). Starting from a recently proposed Fourier representation of flow fields, the F-FNO bridges the…

Machine Learning · Computer Science 2023-03-03 Alasdair Tran , Alexander Mathews , Lexing Xie , Cheng Soon Ong

We introduce DiffFNO, a novel diffusion framework for arbitrary-scale super-resolution strengthened by a Weighted Fourier Neural Operator (WFNO). Mode Rebalancing in WFNO effectively captures critical frequency components, significantly…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Xiaoyi Liu , Hao Tang

Fast and accurate underwater acoustic charting is crucial for downstream tasks such as environment-aware sensor placement optimization and autonomous vehicle path planning. Conventional methods rely on computationally expensive while…

Machine Learning · Computer Science 2025-12-09 Yifan Sun , Lei Cheng , Jianlong Li , Peter Gerstoft

Spatio-temporal process models are often used for modeling dynamic physical and biological phenomena that evolve across space and time. These phenomena may exhibit environmental heterogeneity and complex interactions that are difficult to…

Methodology · Statistics 2026-01-06 Pratik Nag , Andrew Zammit-Mangion , Sumeetpal Singh , Noel Cressie

Neural operators have emerged as powerful tools for learning solution operators of partial differential equations (PDEs). However, standard spectral methods based on Fourier transforms struggle with problems involving discontinuous…

Computational Physics · Physics 2026-05-20 Giorgio M. Cavallazzi , Miguel Pérez Cuadrado , Alfredo Pinelli

This paper introduces an operator-based neural network, the mirror-padded Fourier neural operator (MFNO), designed to learn the dynamics of stochastic systems. MFNO extends the standard Fourier neural operator (FNO) by incorporating mirror…

Machine Learning · Computer Science 2025-07-25 Wonjae Lee , Taeyoung Kim , Hyungbin Park

Accurate urban microclimate analysis with wind velocity and temperature is vital for energy-efficient urban planning, supporting carbon reduction, enhancing public health and comfort, and advancing the low-altitude economy. However,…

Perception of the full state is an essential technology to support the monitoring, analysis, and design of physical systems, one of whose challenges is to recover global field from sparse observations. Well-known for brilliant approximation…

Artificial Intelligence · Computer Science 2023-02-21 Xiaoyu Zhao , Xiaoqian Chen , Zhiqiang Gong , Weien Zhou , Wen Yao , Yunyang Zhang
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