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相关论文: Crack Path Prediction with Operator Learning using…

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Multiscale modeling is an effective approach for investigating multiphysics systems with largely disparate size features, where models with different resolutions or heterogeneous descriptions are coupled together for predicting the system's…

计算工程、金融与科学 · 计算机科学 2022-12-07 Minglang Yin , Enrui Zhang , Yue Yu , George Em Karniadakis

Predicting atomic-scale crack propagation in aluminum nitride (AlN) is critical for semiconductor reliability but remains prohibitively expensive via molecular dynamics (MD). We develop a diffusion-based generative machine learning model to…

材料科学 · 物理学 2026-03-17 Jiali Lu , Shengfeng Yang

The deep operator networks (DeepONet), a class of neural operators that learn mappings between function spaces, have recently been developed as surrogate models for parametric partial differential equations (PDEs). In this work we propose a…

机器学习 · 计算机科学 2024-10-31 Yuan Qiu , Nolan Bridges , Peng Chen

Modern power systems require fast and accurate dynamic simulations for stability assessment, digital twins, and real-time control, but classical ODE solvers are often too slow for large-scale or online applications. We propose a…

系统与控制 · 电气工程与系统科学 2025-11-10 Ioannis Karampinis , Petros Ellinas , Johanna Vorwerk , Spyros Chatzivasileiadis

Surface cracks on buildings, natural walls and underground mine tunnels can indicate serious structural integrity issues that threaten the safety of the structure and people in the environment. Timely detection and monitoring of cracks are…

计算机视觉与模式识别 · 计算机科学 2021-11-24 Faris Azhari , Charlotte Sennersten , Michael Milford , Thierry Peynot

Deep learning-based pavement cracks detection methods often require large-scale labels with detailed crack location information to learn accurate predictions. In practice, however, crack locations are very difficult to be manually annotated…

计算机视觉与模式识别 · 计算机科学 2023-02-14 Huijun Liu , Chunhua Yang , Ao Li , Sheng Huang , Xin Feng , Zhimin Ruan , Yongxin Ge

Parametric PDEs power modern simulation, design, and digital-twin systems, yet their many-query workloads still hinge on repeatedly solving large finite-element systems. Existing operator-learning approaches accelerate this process but…

机器学习 · 计算机科学 2025-11-25 Yueqi Wang , Guang Lin

Physics-informed neural networks and Physics-informed DeepONet excel in solving partial differential equations; however, they often fail to converge for singularly perturbed problems. To address this, we propose two novel frameworks,…

机器学习 · 计算机科学 2026-04-06 Tiantian Sun , Jian Zu

Accurately learning solution operators for time-dependent partial differential equations (PDEs) from sparse and irregular data remains a challenging task. Recurrent DeepONet extensions inherit the discrete-time limitations of…

计算工程、金融与科学 · 计算机科学 2025-07-04 Diab W. Abueidda , Mbebo Nonna , Panos Pantidis , Mostafa E. Mobasher

We employ a recently developed model that allows the study of two-dimensional brittle crack propagation under fixed grip boundary conditions. The crack development highlights the importance of voids which appear ahead of the crack as…

无序系统与神经网络 · 物理学 2015-06-12 Itamar Procaccia , Jacques Zylberg

Maxwell's equations, a system of linear partial differential equations (PDEs), describe the behavior of electric and magnetic fields in time and space and are essential for many important electromagnetic applications. Although numerical…

计算物理 · 物理学 2026-01-19 Qile Jiang , Marc Salvadori , Dale Ota , Vijaya Shankar , Khemraj Shukla

Inspired by the development of deep learning in computer vision and object detection, the proposed algorithm considers an encoder-decoder architecture with hierarchical feature learning and dilated convolution, named U-Hierarchical Dilated…

计算机视觉与模式识别 · 计算机科学 2020-07-15 Zhun Fan , Chong Li , Ying Chen , Jiahong Wei , Giuseppe Loprencipe , Xiaopeng Chen , Paola Di Mascio

This paper uses the peridynamic theory, which is well-suited to crack studies, to predict the crack patterns in a moving disk and classify them according to the modes and finally perform regression analysis. In that way, the crack patterns…

计算工程、金融与科学 · 计算机科学 2020-05-28 Moonseop Kim , Guang Lin

Deep Operator Networks (DeepOnets) have revolutionized the domain of scientific machine learning for the solution of the inverse problem for dynamical systems. However, their implementation necessitates optimizing a high-dimensional space…

Crack detection plays a crucial role in civil infrastructures, including inspection of pavements, buildings, etc., and deep learning has significantly advanced this field in recent years. While numerous technical and review papers exist in…

计算机视觉与模式识别 · 计算机科学 2025-09-18 Xinan Zhang , Haolin Wang , Yung-An Hsieh , Zhongyu Yang , Anthony Yezzi , Yi-Chang Tsai

The simulation of discrete karst networks presents a significant challenge due to the complexity of the physicochemical processes occurring within various geological and hydrogeological contexts over extended periods. This complex interplay…

机器学习 · 统计学 2025-06-12 Dany Lauzon , Julien Straubhaar , Philippe Renard

The prediction of rail crack length propagation plays a crucial role in the maintenance and safety assessment of materials and structures. Traditional methods rely on physical models and empirical equations such as Paris law, which often…

机器学习 · 计算机科学 2023-09-06 Sara Yasmine Ouerk , Olivier Vo Van , Mouadh Yagoubi

Phase-field modeling is an effective but computationally expensive method for capturing the mesoscale morphological and microstructure evolution in materials. Hence, fast and generalizable surrogate models are needed to alleviate the cost…

In the present work, we introduce a novel approach to enhance the precision of reduced order models by exploiting a multi-fidelity perspective and DeepONets. Reduced models provide a real-time numerical approximation by simplifying the…

数值分析 · 数学 2023-11-21 Nicola Demo , Marco Tezzele , Gianluigi Rozza

Automating the current bridge visual inspection practices using drones and image processing techniques is a prominent way to make these inspections more effective, robust, and less expensive. In this paper, we investigate the development of…

计算机视觉与模式识别 · 计算机科学 2025-01-28 Andrii Kompanets , Gautam Pai , Remco Duits , Davide Leonetti , Bert Snijder