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This paper explores Neural Operators to predict turbulent flows, focusing on the Fourier Neural Operator (FNO) model. It aims to develop reduced-order/surrogate models for turbulent flow simulations using Machine Learning. Different model…

Fluid Dynamics · Physics 2023-07-26 Fernando Gonzalez , François-Xavier Demoulin , Simon Bernard

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

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

Vision-transformers (ViTs) and large-scale convolution-neural-networks (CNNs) have reshaped computer vision through pretrained feature representations that enable strong transfer learning for diverse tasks. However, their efficiency as…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Alon Kaya , Igal Bilik , Inna Stainvas

Flood inundation forecast provides critical information for emergency planning before and during flood events. Real time flood inundation forecast tools are still lacking. High-resolution hydrodynamic modeling has become more accessible in…

Fluid Dynamics · Physics 2023-08-01 Alexander Y. Sun , Zhi Li , Wonhyun Lee , Qixing Huang , Bridget R. Scanlon , Clint Dawson

Numerical simulations of groundwater flow are used to analyze and predict the response of an aquifer system to its change in state by approximating the solution of the fundamental groundwater physical equations. The most used and classical…

Machine Learning · Computer Science 2022-04-12 Maria Luisa Taccari , Jonathan Nuttall , Xiaohui Chen , He Wang , Bennie Minnema , Peter K. Jimack

Traction force microscopy (TFM) is a widely used technique for quantifying the forces that cells exert on their surrounding extracellular matrix. Although deep learning methods have recently been applied to TFM data analysis, several…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Yunfei Huang , Elena Van der Vorst , Alexander Richard , Benedikt Sabass

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

Reliable flood detection is critical for disaster management, yet classical deep learning models often struggle with the high-dimensional, nonlinear complexities inherent in remote sensing data. To mitigate these limitations, we introduced…

Machine Learning · Computer Science 2026-03-17 Soumyajit Maity , Behzad Ghanbarian

In this work, we propose a framework whereby flow imaging data is leveraged to extract relevant information from flowfield visualizations. To this end, a vision transformer (ViT) model is developed to predict the unsteady pressure…

Fluid Dynamics · Physics 2023-05-10 Renato F. Miotto , William R. Wolf

Soil and groundwater contamination is a pervasive problem at thousands of locations across the world. Contaminated sites often require decades to remediate or to monitor natural attenuation. Climate change exacerbates the long-term site…

Transformers are state-of-the-art deep learning models that are composed of stacked attention and point-wise, fully connected layers designed for handling sequential data. Transformers are not only ubiquitous throughout Natural Language…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Onur Kara , Arijit Sehanobish , Hector H Corzo

Recently, vision transformer (ViT) and its variants have achieved promising performances in various computer vision tasks. Yet the high computational costs and training data requirements of ViTs limit their application in…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Hao Yu , Jianxin Wu

Current groundwater models face a significant challenge in their implementation due to heavy computational burdens. To overcome this, our work proposes a cost-effective emulator that efficiently and accurately forecasts the impact of…

Deep neural network models have shown a great potential in accelerating the simulation of fluid dynamic systems. Once trained, these models can make inference within seconds, thus can be extremely efficient. However, they suffer from a…

Fluid Dynamics · Physics 2022-02-23 Wenhui Peng , Zelong Yuan , Jianchun Wang

Neural operators can learn nonlinear mappings between function spaces and offer a new simulation paradigm for real-time prediction of complex dynamics for realistic diverse applications as well as for system identification in science and…

Computational Physics · Physics 2022-03-23 Lu Lu , Xuhui Meng , Shengze Cai , Zhiping Mao , Somdatta Goswami , Zhongqiang Zhang , George Em Karniadakis

With the success of Vision Transformers (ViTs) in computer vision tasks, recent arts try to optimize the performance and complexity of ViTs to enable efficient deployment on mobile devices. Multiple approaches are proposed to accelerate…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Yanyu Li , Ju Hu , Yang Wen , Georgios Evangelidis , Kamyar Salahi , Yanzhi Wang , Sergey Tulyakov , Jian Ren

Vision transformers (ViT) have shown promise in various vision tasks while the U-Net based on a convolutional neural network (CNN) remains dominant in diffusion models. We design a simple and general ViT-based architecture (named U-ViT) for…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Fan Bao , Shen Nie , Kaiwen Xue , Yue Cao , Chongxuan Li , Hang Su , Jun Zhu

Flexible and accurate interpolation schemes using machine learning could be of great benefit for many use-cases in numerical simulations and post-processing, such as temporal upsampling or storage reduction. In this work, we adapt the…

High Energy Astrophysical Phenomena · Physics 2025-11-12 Jonas Pronk , Oliver Porth , Jordy Davelaar

With the rapid development of deep learning, CNN-based U-shaped networks have succeeded in medical image segmentation and are widely applied for various tasks. However, their limitations in capturing global features hinder their performance…

Image and Video Processing · Electrical Eng. & Systems 2024-10-22 Xin Li , Wenhui Zhu , Xuanzhao Dong , Oana M. Dumitrascu , Yalin Wang
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