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FNO and DeepONet are by far the most popular neural operator learning algorithms. FNO seems to enjoy an edge in popularity due to its ease of use, especially with high dimensional data. However, a lesser-acknowledged feature of DeepONet is…

Computational Physics · Physics 2024-01-02 Waleed Diab , Mohammed Al-Kobaisi

Traditional algorithms for compressive sensing recovery are computationally expensive and are ineffective at low measurement rates. In this work, we propose a data driven non-iterative algorithm to overcome the shortcomings of earlier…

Computer Vision and Pattern Recognition · Computer Science 2017-08-18 Suhas Lohit , Kuldeep Kulkarni , Ronan Kerviche , Pavan Turaga , Amit Ashok

This work proposes an autoencoder neural network as a non-linear generalization of projection-based methods for solving Partial Differential Equations (PDEs). The proposed deep learning architecture presented is capable of generating the…

Computational Physics · Physics 2020-06-25 Jaime Lopez Garcia , Angel Rivero Jimenez

Physics-Informed Neural Operators provide efficient, high-fidelity simulations for systems governed by partial differential equations (PDEs). However, most existing studies focus only on multi-scale, multi-physics systems within a single…

Machine Learning · Computer Science 2025-07-08 Weidong Wu , Yong Zhang , Lili Hao , Yang Chen , Xiaoyan Sun , Dunwei Gong

Multi-scale dynamic wake modeling and prediction are essential for the real-time control and optimization of floating offshore wind turbines (FOWTs). In this study, wakes of FOWTs under coupled surge and pitch motions across a range of…

Fluid Dynamics · Physics 2026-05-21 Guodan Dong , Jianhua Qin , Chang Xu

Microstructure imaging is crucial in materials science, but experimental images often introduce noise that obscures critical structural details. This study presents a novel deep learning approach for robust microstructure image denoising,…

Materials Science · Physics 2025-07-03 Owais Ahmad , Albert Linda , Saumya Ranjan Jha , Somnath Bhowmick

Reconfigurable intelligent surfaces (RISs) are envisioned as a key enabler for next-generation wireless networks, offering programmable control over propagation environments. While extensive research focuses on planar RIS architectures,…

Signal Processing · Electrical Eng. & Systems 2026-02-16 Mohamadreza Delbari , Ehsan Mohammadi , Mostafa Darabi , Arash Asadi , Alejandro Jiménez-Sáez , Vahid Jamali

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,…

Neural implicit 3D reconstruction can reproduce shapes without 3D supervision, and it learns the 3D scene through volume rendering methods and neural implicit representations. Current neural surface reconstruction methods tend to randomly…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Shikun Zhang , Yiqun Wang , Cunjian Chen , Yong Li , Qiuhong Ke

Many phenomena in physics, including light, water waves, and sound, are described by wave equations. Given their coefficients, wave equations can be solved to high accuracy, but the presence of the wavelength scale often leads to large…

Computational Physics · Physics 2025-02-19 Timo Gahlmann , Philippe Tassin

Full waveform inversion (FWI) is a powerful tool for reconstructing material fields based on sparsely measured data obtained by wave propagation. For specific problems, discretizing the material field with a neural network (NN) improves the…

Machine Learning · Computer Science 2024-08-02 Divya Shyam Singh , Leon Herrmann , Qing Sun , Tim Bürchner , Felix Dietrich , Stefan Kollmannsberger

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

Long-term predictions of nonlinear dynamics of three-dimensional (3D) turbulence are very challenging for machine learning approaches. In this paper, we propose an implicit U-Net enhanced Fourier neural operator (IU-FNO) for stable and…

Fluid Dynamics · Physics 2023-08-02 Zhijie Li , Wenhui Peng , Zelong Yuan , Jianchun Wang

The quick and accurate retrieval of an object height from a single fringe pattern in Fringe Projection Profilometry has been a topic of ongoing research. While a single shot fringe to depth CNN based method can restore height map directly…

Computer Vision and Pattern Recognition · Computer Science 2023-05-01 Yixiao Wang , Canlin Zhou , Xingyang Qi , Hui Li

Neural operators learn mappings between function spaces, which is practical for learning solution operators of PDEs and other scientific modeling applications. Among them, the Fourier neural operator (FNO) is a popular architecture that…

Machine Learning · Computer Science 2024-06-11 Miguel Liu-Schiaffini , Julius Berner , Boris Bonev , Thorsten Kurth , Kamyar Azizzadenesheli , Anima Anandkumar

With advancements in satellite imaging technology, acquiring high-resolution multi-view satellite imagery has become increasingly accessible, enabling rapid and location-independent ground model reconstruction. However, traditional stereo…

Computer Vision and Pattern Recognition · Computer Science 2025-09-05 Tianle Liu , Shuangming Zhao , Wanshou Jiang , Bingxuan Guo

Large-scale numerical simulations are capable of generating data up to terabytes or even petabytes. As a promising method of data reduction, super-resolution (SR) has been widely studied in the scientific visualization community. However,…

Image and Video Processing · Electrical Eng. & Systems 2023-08-29 Chenyue Jiao , Chongke Bi , Lu Yang

The inverse problem of supervised reconstruction of depth-variable (time-dependent) parameters in a neural ordinary differential equation (NODE) is considered, that means finding the weights of a residual network with time continuous…

Machine Learning · Computer Science 2022-02-14 George Baravdish , Gabriel Eilertsen , Rym Jaroudi , B. Tomas Johansson , Lukáš Malý , Jonas Unger

Phase retrieval algorithms have become an important component in many modern computational imaging systems. For instance, in the context of ptychography and speckle correlation imaging, they enable imaging past the diffraction limit and…

Machine Learning · Statistics 2018-07-03 Christopher A. Metzler , Philip Schniter , Ashok Veeraraghavan , Richard G. Baraniuk

Simulators based on neural networks offer a path to orders-of-magnitude faster electromagnetic wave simulations. Existing models, however, only address narrowly tailored classes of problems and only scale to systems of a few dozen degrees…

Optics · Physics 2024-04-02 Charles Dove , Jatearoon Boondicharern , Laura Waller
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