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Graph neural networks (GNNs) have emerged as powerful surrogates for mesh-based computational fluid dynamics (CFD), but training them on high-resolution unstructured meshes with hundreds of thousands of nodes remains prohibitively…

机器学习 · 计算机科学 2025-09-17 Paul Garnier , Vincent Lannelongue , Elie Hachem

As the performance of computer systems stagnates due to the end of Moore's Law, there is a need for new models that can understand and optimize the execution of general purpose code. While there is a growing body of work on using Graph…

机器学习 · 计算机科学 2020-03-12 Zhan Shi , Kevin Swersky , Daniel Tarlow , Parthasarathy Ranganathan , Milad Hashemi

Recently, graph neural networks (GNNs) have proved to be suitable in tasks on unstructured data. Particularly in tasks as community detection, node classification, and link prediction. However, most GNN models still operate with static…

机器学习 · 计算机科学 2019-06-07 Darwin Saire Pilco , Adín Ramírez Rivera

Graph Convolutional Neural Networks (GCNNs) are generalizations of CNNs to graph-structured data, in which convolution is guided by the graph topology. In many cases where graphs are unavailable, existing methods manually construct graphs…

机器学习 · 计算机科学 2019-09-17 Xiang Gao , Wei Hu , Zongming Guo

Graph Neural Networks (GNN) have emerged as a popular and standard approach for learning from graph-structured data. The literature on GNN highlights the potential of this evolving research area and its widespread adoption in real-life…

机器学习 · 计算机科学 2024-03-25 Sukhdeep Singh , Anuj Sharma , Vinod Kumar Chauhan

State estimation from limited sensor measurements is ubiquitously found as a common challenge in a broad range of fields including mechanics, astronomy, and geophysics. Fluid mechanics is no exception -- state estimation of fluid flows is…

流体动力学 · 物理学 2022-06-01 Taichi Nakamura , Koji Fukagata

Pressure and flow estimation in Water Distribution Networks (WDN) allows water management companies to optimize their control operations. For many years, mathematical simulation tools have been the most common approach to reconstructing an…

机器学习 · 计算机科学 2024-07-11 Huy Truong , Andrés Tello , Alexander Lazovik , Victoria Degeler

Gas-particle flows are commonly simulated through two-fluid model at industrial-scale. However, these simulations need very fine grid to have accurate flow predictions, which is prohibitively demanding in terms of computational resources.…

Graph neural networks (GNNs) are widely used in domains like social networks and biological systems. However, the locality assumption of GNNs, which limits information exchange to neighboring nodes, hampers their ability to capture…

机器学习 · 计算机科学 2023-07-04 Tingting Dan , Jiaqi Ding , Ziquan Wei , Shahar Z Kovalsky , Minjeong Kim , Won Hwa Kim , Guorong Wu

This work proposes a novel methodology for turbulence modeling in Large Eddy Simulation (LES) based on Graph Neural Networks (GNNs), which embeds the discrete rotational, reflectional and translational symmetries of the Navier-Stokes…

流体动力学 · 物理学 2025-04-11 Marius Kurz , Andrea Beck , Benjamin Sanderse

Linearized Graph Neural Networks (GNNs) have attracted great attention in recent years for graph representation learning. Compared with nonlinear Graph Neural Network (GNN) models, linearized GNNs are much more time-efficient and can…

机器学习 · 计算机科学 2023-02-02 Yulin Zhu , Xing Ai , Qimai Li , Xiao-Ming Wu , Kai Zhou

Sensing the fluid flow around an arbitrary geometry entails extrapolating from the physical quantities perceived at its surface in order to reconstruct the features of the surrounding fluid. This is a challenging inverse problem, yet one…

计算工程、金融与科学 · 计算机科学 2023-01-10 Gregory Duthé , Imad Abdallah , Sarah Barber , Eleni Chatzi

The analogy to heat diffusion has enhanced our understanding of information flow in graphs and inspired the development of Graph Neural Networks (GNNs). However, most diffusion-based GNNs emulate passive heat diffusion, which still suffers…

机器学习 · 计算机科学 2025-10-23 Mengying Jiang

Graph neural networks (GNNs) have been widely applied in safety-critical applications, such as financial and medical networks, in which compromised predictions may cause catastrophic consequences. While existing research on GNN robustness…

机器学习 · 计算机科学 2025-07-28 Wencheng Zou , Nan Wu

Graph Neural Networks (GNNs) have enjoyed wide spread applications in graph-structured data. However, existing graph based applications commonly lack annotated data. GNNs are required to learn latent patterns from a limited amount of…

机器学习 · 计算机科学 2023-03-22 Wenqi Wei , Mu Qiao , Divyesh Jadav

Graph Neural Networks (GNNs) have shown significant promise in various domains, such as recommendation systems, bioinformatics, and network analysis. However, the irregularity of graph data poses unique challenges for efficient computation,…

机器学习 · 计算机科学 2024-11-26 Pol Puigdemont , Enrico Russo , Axel Wassington , Abhijit Das , Sergi Abadal , Maurizio Palesi

Solid aggregates in turbulent suspensions may break under the action of shear stresses. We explore the use of Graph Neural Networks (GNN) to infer aggregate fragmentation once the aggregate structure and flow velocity gradients are known.…

流体动力学 · 物理学 2026-01-12 Michele Buzzicotti , Massimo Cencini , Giulio Cimini , Marco Vanni , Alessandra S. Lanotte

Reinforcement learning is well known for its ability to model sequential tasks and learn latent data patterns adaptively. Deep learning models have been widely explored and adopted in regression and classification tasks. However, deep…

机器学习 · 计算机科学 2025-06-17 Thanveer Shaik , Xiaohui Tao , Haoran Xie , Lin Li , Jianming Yong , Yuefeng Li

Graph Neural Networks (GNNs) have deeply modified the landscape of numerical simulations by demonstrating strong capabilities in approximating solutions of physical systems. However, their ability to extrapolate beyond their training domain…

机器学习 · 计算机科学 2025-08-27 Paul Garnier , Jonathan Viquerat , Elie Hachem

Buoyancy-driven heat transfer in closed cavities serves as a canonical testbed for thermal design High-fidelity CFD modelling yields accurate thermal field solutions, yet its reliance on expert-crafted physics models, fine meshes, and…

计算机视觉与模式识别 · 计算机科学 2025-09-09 Mohammad Ahangarkiasari , Hassan Pouraria