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In this paper, we show that a revised convolutional recurrent neural network (CRNN) can decrease, by orders of magnitude, the time needed for the phase-resolved prediction of waves in a spatiotemporal domain of a nonlinear dispersive wave…

Fluid Dynamics · Physics 2020-08-04 Fazlolah Mohaghegh , Mohammad-Reza Alam , Jayathi Murthy

Accurate real-time prediction of phase-resolved ocean wave fields remains a critical yet largely unsolved problem, primarily due to the absence of practical data assimilation methods for reconstructing initial conditions from sparse or…

Machine Learning · Computer Science 2025-08-06 Svenja Ehlers , Merten Stender , Norbert Hoffmann

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

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

Neural operators are becoming the default tools to learn solutions to governing partial differential equations (PDEs) in weather and ocean forecasting applications. Despite early promising achievements, significant challenges remain,…

Machine Learning · Computer Science 2025-10-14 Vahidreza Jahanmard , Ali Ramezani-Kebrya , Robinson Hordoir

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

Training an effective deep learning model to learn ocean processes involves careful choices of various hyperparameters. We leverage the advanced search algorithms for multiobjective optimization in DeepHyper, a scalable hyperparameter…

Interpreting scattered acoustic and electromagnetic wave patterns is a computational task that enables remote imaging in a number of important applications, including medical imaging, geophysical exploration, sonar and radar detection, and…

Computational Physics · Physics 2025-04-03 Owen Melia , Olivia Tsang , Vasileios Charisopoulos , Yuehaw Khoo , Jeremy Hoskins , Rebecca Willett

The use of neural operators in a digital twin model of an offshore floating structure can provide a paradigm shift in structural response prediction and health monitoring, providing valuable information for real-time control. In this work,…

Atmospheric and Oceanic Physics · Physics 2023-12-04 Qianying Cao , Somdatta Goswami , Tapas Tripura , Souvik Chakraborty , George Em Karniadakis

Numerical simulation of multiphase flow in porous media is essential for many geoscience applications. Machine learning models trained with numerical simulation data can provide a faster alternative to traditional simulators. Here we…

Geophysics · Physics 2022-05-06 Gege Wen , Zongyi Li , Kamyar Azizzadenesheli , Anima Anandkumar , Sally M. Benson

Surface-from-gradients (SfG) aims to recover a three-dimensional (3D) surface from its gradients. Traditional methods encounter significant challenges in achieving high accuracy and handling high-resolution inputs, particularly facing the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Jiaqi Leng , Yakun Ju , Yuanxu Duan , Jiangnan Zhang , Qingxuan Lv , Zuxuan Wu , Hao Fan

Many applications in computational and experimental fluid mechanics require effective methods for reconstructing the flow fields from limited sensor data. However, this task remains a significant challenge because the measurement operator,…

Fluid Dynamics · Physics 2024-11-22 Phong C. H. Nguyen , Joseph B. Choi , Quang-Trung Luu

Traditionally, neural networks have been employed to learn the mapping between finite-dimensional Euclidean spaces. However, recent research has opened up new horizons, focusing on the utilization of deep neural networks to learn operators…

Machine Learning · Computer Science 2025-02-18 Somdatta Goswami , Dimitris G. Giovanis , Bowei Li , Seymour M. J. Spence , Michael D. Shields

Microstructural evolution, particularly grain growth, plays a critical role in shaping the physical, optical, and electronic properties of materials. Traditional phase-field modeling accurately simulates these phenomena but is…

Materials Science · Physics 2026-04-15 Iman Peivaste , Ahmed Makradi , Salim Belouettar

Near-field multiple-input multiple-output (MIMO) radar imaging systems have recently gained significant attention. In this paper, we develop novel non-iterative deep learning-based reconstruction methods for real-time near-field MIMO…

Image and Video Processing · Electrical Eng. & Systems 2023-12-29 Irfan Manisali , Okyanus Oral , Figen S. Oktem

A major challenge in computed tomography is reconstructing objects from incomplete data. An increasingly popular solution for these problems is to incorporate deep learning models into reconstruction algorithms. This study introduces a…

Numerical Analysis · Mathematics 2024-02-20 Knut Salomonsson , Eric Oldgren , Emanuel Ström , Ozan Öktem

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

Deep learning surrogate models have shown promise in solving partial differential equations (PDEs). Among them, the Fourier neural operator (FNO) achieves good accuracy, and is significantly faster compared to numerical solvers, on a…

Machine Learning · Computer Science 2024-05-03 Zongyi Li , Daniel Zhengyu Huang , Burigede Liu , Anima Anandkumar

High-frequency features are critical in multiscale phenomena such as turbulent flows and phase transitions, since they encode essential physical information. The recently proposed Wavelet Neural Operator (WNO) utilizes wavelets'…

Numerical Analysis · Mathematics 2025-06-24 Wei-Min Lei , Hou-Biao Li

Modeling high-frequency information is a critical challenge in scientific machine learning. For instance, fully turbulent flow simulations of the Navier-Stokes equations at Reynolds numbers 3500 and above can generate high-frequency signals…

Machine Learning · Computer Science 2026-01-13 Marimuthu Kalimuthu , David Holzmüller , Mathias Niepert
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