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The interaction of neural networks with physical equations offers a wide range of applications. We provide a method which enables a neural network to transform objects subject to given physical constraints. Therefore an U-Net architecture…

人工智能 · 计算机科学 2021-03-22 Lukas Harsch , Johannes Burgbacher , Stefan Riedelbauch

In recent years, U-Net and its variants have been widely used in pathology image segmentation tasks. One of the key designs of U-Net is the use of skip connections between the encoder and decoder, which helps to recover detailed information…

图像与视频处理 · 电气工程与系统科学 2023-10-18 Zongyi Li , Hongbing Lyu , Jun Wang

Simulation and optimization are crucial for advancing the engineering design of complex systems and processes. Traditional optimization methods require substantial computational time and effort due to their reliance on resource-intensive…

机器学习 · 计算机科学 2025-08-28 Janak M. Patel , Milad Ramezankhani , Anirudh Deodhar , Dagnachew Birru

Deep operator networks (DeepONets) are trained to predict the linear amplification of instability waves in high-speed boundary layers and to perform data assimilation. In contrast to traditional networks that approximate functions,…

流体动力学 · 物理学 2021-05-19 P. Clark Di Leoni , L. Lu , C. Meneveau , G. Karniadakis , T. A. Zaki

Accurate pathloss prediction is essential for the design and optimization of UAV-assisted millimeter-wave (mmWave) networks. While deep learning approaches have shown strong potential, their generalization across diverse environments,…

信号处理 · 电气工程与系统科学 2025-09-12 Sajjad Hussain

Deep Operator Networks (DeepONets) have recently emerged as powerful data-driven frameworks for learning nonlinear operators, particularly suited for approximating solutions to partial differential equations. Despite their promising…

机器学习 · 计算机科学 2026-04-21 Arth Sojitra , Mrigank Dhingra , Omer San

Burn injuries present a significant global health challenge. Among the most severe long-term consequences are contractures, which can lead to functional impairments and disfigurement. Understanding and predicting the evolution of post-burn…

数值分析 · 数学 2024-11-25 Selma Husanovic , Ginger Egberts , Alexander Heinlein , Fred Vermolen

Surrogate modeling has emerged as a powerful tool to accelerate Computational Fluid Dynamics (CFD) simulations. Existing 3D geometric learning models based on point clouds, voxels, meshes, or graphs depend on explicit geometric…

流体动力学 · 物理学 2025-05-26 Qian Chen , Mohamed Elrefaie , Angela Dai , Faez Ahmed

We present a novel data-driven approach for enhancing gradient reconstruction in unstructured finite volume methods for hyperbolic conservation laws, specifically for the 2D Euler equations. Our approach extends previous structured-grid…

数值分析 · 数学 2025-07-23 G. de Romémont , F. Renac , F. Chinesta , J. Nunez , D. Gueyffier

We present a novel deep learning framework for flow field predictions in irregular domains when the solution is a function of the geometry of either the domain or objects inside the domain. Grid vertices in a computational fluid dynamics…

机器学习 · 计算机科学 2021-09-20 Ali Kashefi , Davis Rempe , Leonidas J. Guibas

We present two novel generative geometric deep learning frameworks, termed Flow Matching PointNet and Diffusion PointNet, for predicting fluid flow variables on irregular geometries by incorporating PointNet into flow matching and diffusion…

计算机视觉与模式识别 · 计算机科学 2026-01-13 Ali Kashefi

Accurate segmentation of tubular structures in medical images, such as vessels and airway trees, is crucial for computer-aided diagnosis, radiotherapy, and surgical planning. However, significant challenges exist in algorithm design when…

图像与视频处理 · 电气工程与系统科学 2025-04-11 Yi Huang , Ke Zhang , Wei Liu , Yuanyuan Wang , Vishal M. Patel , Le Lu , Xu Han , Dakai Jin , Ke Yan

As a core task in intelligent transportation systems, traffic forecasting plays a critical role in urban traffic management. Accurate traffic forecasting relies on modeling complex spatiotemporal dependencies, which is inherently…

人工智能 · 计算机科学 2026-05-26 Ruiwen Gu , Yahao Liu , Zhenyu Liu , Qitai Tan , Xiao-Ping Zhang

In many cutting-edge applications, high-fidelity computational models prove to be too slow for practical use and are therefore replaced by much faster surrogate models. Recently, deep learning techniques have increasingly been utilized to…

机器学习 · 计算机科学 2024-04-03 Saurabh Deshpande , Stéphane P. A. Bordas , Jakub Lengiewicz

Image fusion seeks to integrate complementary information from multiple sources into a single, superior image. While traditional methods are fast, they lack adaptability and performance. Conversely, deep learning approaches achieve…

计算机视觉与模式识别 · 计算机科学 2026-02-25 Ran Zhang , Xuanhua He , Liu Liu

Failure trajectories, identifying the probable failure zones, and damage statistics are some of the key quantities of relevance in brittle fracture applications. High-fidelity numerical solvers that reliably estimate these relevant…

机器学习 · 计算机科学 2022-02-16 Somdatta Goswami , Minglang Yin , Yue Yu , George Karniadakis

Due to the limited accuracy of 4D Magnetic Resonance Imaging (MRI) in identifying hemodynamics in cardiovascular diseases, the challenges in obtaining patient-specific flow boundary conditions, and the computationally demanding and…

机器学习 · 计算机科学 2025-03-25 Oscar L. Cruz-González , Valérie Deplano , Badih Ghattas

In this work, we introduce a novel neural operator, the Solute Transport Operator Network (STONet), to efficiently model contaminant transport in micro-cracked porous media. STONet's model architecture is specifically designed for this…

机器学习 · 计算机科学 2025-07-02 Ehsan Haghighat , Mohammad Hesan Adeli , S Mohammad Mousavi , Ruben Juanes

CFD is widely used in physical system design and optimization, where it is used to predict engineering quantities of interest, such as the lift on a plane wing or the drag on a motor vehicle. However, many systems of interest are…

流体动力学 · 物理学 2020-05-12 Octavi Obiols-Sales , Abhinav Vishnu , Nicholas Malaya , Aparna Chandramowlishwaran

Finite element (FE) modeling is essential for structural analysis but remains computationally intensive, especially under dynamic loading. While operator learning models have shown promise in replicating static structural responses at FEM…

机器学习 · 计算机科学 2025-05-13 Bilal Ahmed , Yuqing Qiu , Diab W. Abueidda , Waleed El-Sekelly , Tarek Abdoun , Mostafa E. Mobasher