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In recent years, Graph Neural Network (GNN) based models have shown promising results in simulating physics of complex systems. However, training dedicated graph network based physics simulators can be costly, as most models are confined to…

机器学习 · 计算机科学 2025-02-12 Siqi Shen , Yu Liu , Daniel Biggs , Omar Hafez , Jiandong Yu , Wentao Zhang , Bin Cui , Jiulong Shan

We propose GNN-Surrogate, a graph neural network-based surrogate model to explore the parameter space of ocean climate simulations. Parameter space exploration is important for domain scientists to understand the influence of input…

大气与海洋物理 · 物理学 2022-02-23 Neng Shi , Jiayi Xu , Skylar W. Wurster , Hanqi Guo , Jonathan Woodring , Luke P. Van Roekel , Han-Wei Shen

Graph Neural Networks (GNNs) have become powerful tools for learning from graph-structured data, finding applications across diverse domains. However, as graph sizes and connectivity increase, standard GNN training methods face significant…

机器学习 · 计算机科学 2025-12-01 Eshed Gal , Moshe Eliasof , Carola-Bibiane Schönlieb , Ivan I. Kyrchei , Eldad Haber , Eran Treister

Subsurface simulations use computational models to predict the flow of fluids (e.g., oil, water, gas) through porous media. These simulations are pivotal in industrial applications such as petroleum production, where fast and accurate…

Simulating physics using Graph Neural Networks (GNNs) is predominantly driven by message-passing architectures, which face challenges in scaling and efficiency, particularly in handling large, complex meshes. These architectures have…

机器学习 · 计算机科学 2025-08-26 Paul Garnier , Vincent Lannelongue , Jonathan Viquerat , Elie Hachem

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

In recent years, there has been a growing interest in using machine learning to overcome the high cost of numerical simulation, with some learned models achieving impressive speed-ups over classical solvers whilst maintaining accuracy.…

机器学习 · 计算机科学 2022-10-04 Meire Fortunato , Tobias Pfaff , Peter Wirnsberger , Alexander Pritzel , Peter Battaglia

This work develops a distributed graph neural network (GNN) methodology for mesh-based modeling applications using a consistent neural message passing layer. As the name implies, the focus is on enabling scalable operations that satisfy…

分布式、并行与集群计算 · 计算机科学 2024-10-03 Shivam Barwey , Riccardo Balin , Bethany Lusch , Saumil Patel , Ramesh Balakrishnan , Pinaki Pal , Romit Maulik , Venkatram Vishwanath

In the recent years, the domain of fast flow field prediction has been vastly dominated by pixel-based convolutional neural networks. Yet, the recent advent of graph convolutional neural networks (GCNNs) have attracted a considerable…

流体动力学 · 物理学 2021-12-22 Junfeng Chen , Elie Hachem , Jonathan Viquerat

Developing accurate, data-efficient surrogate models is central to advancing AI for Science. Neural operators (NOs), which approximate mappings between infinite-dimensional function spaces using conventional neural architectures, have…

机器学习 · 计算机科学 2025-09-26 Dibyajyoti Nayak , Somdatta Goswami

Background: Accumulation of abnormal contact stress is a primary biomechanical driver of acute meniscal tears and chronic osteoarthritis. While Finite Element Analysis (FEA) provides the necessary fidelity to quantify these injury-inducing…

定量方法 · 定量生物学 2025-12-16 Zhengye Pan , Jianwei Zuo , Jiajia Luo

Nonlinear finite element crash simulations are accurate but computationally expensive, limiting their use in iterative design optimisation. Machine-learning surrogate models based on graph neural networks (GNNs) offer a faster alternative.…

机器学习 · 计算机科学 2026-05-18 Haoran Li , Tobias Lehrer , Yingxue Zhao , Haosu Zhou , Philipp Stocker , Tobias Pfaff , Nan Li

Physics-based deep learning frameworks have shown to be effective in accurately modeling the dynamics of complex physical systems with generalization capability across problem inputs. Data-driven networks like GNN, Neural Operators have…

机器学习 · 计算机科学 2024-12-23 Rini Jasmine Gladstone , Hadi Meidani

Graph Neural Networks (GNNs) have recently been explored as surrogate models for numerical simulations. While their applications in computational fluid dynamics have been investigated, little attention has been given to structural problems,…

机器学习 · 计算机科学 2025-10-30 Alessandro Lucchetti , Francesco Cadini , Marco Giglio , Luca Lomazzi

Surrogate models driven by sizeable datasets and scientific machine-learning methods have emerged as an attractive microstructure simulation tool with the potential to deliver predictive microstructure evolution dynamics with huge savings…

材料科学 · 物理学 2024-01-22 Shaoxun Fan , Andrew L. Hitt , Ming Tang , Babak Sadigh , Fei Zhou

Reliable evaluations of geotechnical hazards like landslides and debris flow require accurate simulation of granular flow dynamics. Traditional numerical methods can simulate the complex behaviors of such flows that involve solid-like to…

地球物理 · 物理学 2023-11-14 Yongjin Choi , Krishna Kumar

Graph Neural Networks (GNNs) are a framework for graph representation learning, where a model learns to generate low dimensional node embeddings that encapsulate structural and feature-related information. GNNs are usually trained in an…

机器学习 · 计算机科学 2020-12-15 Davide Buffelli , Fabio Vandin

Deep-learning-based surrogate models provide an efficient complement to numerical simulations for subsurface flow problems such as CO$_2$ geological storage. Accurately capturing the impact of faults on CO$_2$ plume migration remains a…

机器学习 · 计算机科学 2023-06-19 Xin Ju , François P. Hamon , Gege Wen , Rayan Kanfar , Mauricio Araya-Polo , Hamdi A. Tchelepi

Accurate simulation of granular flow dynamics is crucial for assessing various geotechnical risks, including landslides and debris flows. Granular flows involve a dynamic rearrangement of particles exhibiting complex transitions from…

地球物理 · 物理学 2023-12-13 Yongjin Choi , Krishna Kumar

Traditional simulation of complex mechanical systems relies on numerical solvers of Partial Differential Equations (PDEs), e.g., using the Finite Element Method (FEM). The FEM solvers frequently suffer from intensive computation cost and…

机器学习 · 计算机科学 2024-09-10 Fu Lin , Jiasheng Shi , Shijie Luo , Qinpei Zhao , Weixiong Rao , Lei Chen