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Networks and network processes have emerged as powerful tools for modeling social interactions, disease propagation, and a variety of additional dynamics driven by relational structures. Recently, neural networks have been generalized to…

Signal Processing · Electrical Eng. & Systems 2019-12-06 T. Mitchell Roddenberry , Santiago Segarra

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.…

Machine Learning · Computer Science 2026-05-18 Haoran Li , Tobias Lehrer , Yingxue Zhao , Haosu Zhou , Philipp Stocker , Tobias Pfaff , Nan Li

State-of-the-art deep learning models have been extensively utilized to reconstruct small-scale structures from coarse-grained data in turbulent flows. However, their application has predominantly been restricted to structured uniform…

Fluid Dynamics · Physics 2026-03-03 Priyabrat Dash , Konduri Aditya , Christos E. Frouzakis , Mathis Bode

This study addresses the problem of anomaly detection and root cause tracing in microservice architectures and proposes a unified framework that combines graph neural networks with temporal modeling. The microservice call chain is…

Machine Learning · Computer Science 2025-11-06 Qingyuan Zhang , Ning Lyu , Le Liu , Yuxi Wang , Ziyu Cheng , Cancan Hua

The properties of constrained fluids have increasingly gained relevance for applications ranging from materials to biology. In this work, we propose a multiscale model using twin neural networks to investigate the properties of a fluid…

Chemical Physics · Physics 2024-08-07 Peiyuan Gao , George Em Karniadakis , Panos Stinis

Traditional physics-based models of geophysical flows, such as debris flows and landslides that pose significant risks to human lives and infrastructure are computationally expensive, limiting their utility for large-scale parameter sweeps,…

Fluid Dynamics · Physics 2025-04-11 Palak Patel , Luke McGuire , Abani Patra

We introduce a novel masked pre-training technique for graph neural networks (GNNs) applied to computational fluid dynamics (CFD) problems. By randomly masking up to 40\% of input mesh nodes during pre-training, we force the model to learn…

Machine Learning · Computer Science 2025-08-27 Paul Garnier , Vincent Lannelongue , Jonathan Viquerat , Elie Hachem

Foundation models have shown great promise in various fields of study. A potential application of such models is in computer network traffic analysis, where these models can grasp the complexities of network traffic dynamics and adapt to…

Machine Learning · Computer Science 2024-09-13 Louis Van Langendonck , Ismael Castell-Uroz , Pere Barlet-Ros

Continuum mechanics simulators, numerically solving one or more partial differential equations, are essential tools in many areas of science and engineering, but their performance often limits application in practice. Recent modern machine…

Machine Learning · Computer Science 2021-06-10 Mario Lino , Chris Cantwell , Anil A. Bharath , Stathi Fotiadis

Mesh-based simulations play a key role when modeling complex physical systems that, in many disciplines across science and engineering, require the solution of parametrized time-dependent nonlinear partial differential equations (PDEs). In…

Numerical Analysis · Mathematics 2023-08-04 Nicola Rares Franco , Stefania Fresca , Filippo Tombari , Andrea Manzoni

Graphs are essential representations of many real-world data such as social networks. Recent years have witnessed the increasing efforts made to extend the neural network models to graph-structured data. These methods, which are usually…

Machine Learning · Computer Science 2018-11-07 Yao Ma , Ziyi Guo , Zhaochun Ren , Eric Zhao , Jiliang Tang , Dawei Yin

Deep generative models such as flow and diffusion models have proven to be effective in modeling high-dimensional and complex data types such as videos or proteins, and this has motivated their use in different data modalities, such as…

Machine Learning · Computer Science 2025-04-08 Ege Erdogan

We propose a model to directly predict the steady-state flow field for a given geometry setup. The setup is an Eulerian representation of the fluid flow as a meshed domain. We introduce a graph network architecture to process the mesh-space…

Fluid Dynamics · Physics 2021-05-07 Lukas Harsch , Stefan Riedelbauch

We introduce in this paper new and very effective numerical methods based on neural networks for the approximation of the mean curvature flow of either oriented or non-orientable surfaces. To learn the correct interface evolution law, our…

Numerical Analysis · Mathematics 2022-09-20 Elie Bretin , Roland Denis , Simon Masnou , Garry Terii

Flow-guided Localization (FGL) enables the identification of spatial regions within the human body that contain an event of diagnostic interest. FGL does that by leveraging the passive movement of energy-constrained nanodevices circulating…

Emerging Technologies · Computer Science 2025-08-25 Mika Leo Hube , Filip Lemic , Ethungshan Shitiri , Gerard Calvo Bartra , Sergi Abadal , Xavier Costa Pérez

Solving traffic assignment problem for large networks is computationally challenging when conventional optimization-based methods are used. In our research, we develop an innovative surrogate model for a traffic assignment when multi-class…

Machine Learning · Computer Science 2025-01-17 Tong Liu , Hadi Meidani

Neural networks for structured data like graphs have been studied extensively in recent years. To date, the bulk of research activity has focused mainly on static graphs. However, most real-world networks are dynamic since their topology…

Machine Learning · Computer Science 2020-03-03 Changmin Wu , Giannis Nikolentzos , Michalis Vazirgiannis

Traffic flow prediction plays a crucial role in alleviating traffic congestion and enhancing transport efficiency. While combining graph convolution networks with recurrent neural networks for spatial-temporal modeling is a common strategy…

Machine Learning · Computer Science 2024-01-10 Haiyang Liu , Chunjiang Zhu , Detian Zhang

Despite the recent success of graph neural networks (GNN), common architectures often exhibit significant limitations, including sensitivity to oversmoothing, long-range dependencies, and spurious edges, e.g., as can occur as a result of…

Machine Learning · Computer Science 2021-12-06 Yongyi Yang , Tang Liu , Yangkun Wang , Jinjing Zhou , Quan Gan , Zhewei Wei , Zheng Zhang , Zengfeng Huang , David Wipf

This paper addresses the problem of traffic prediction in distributed backend systems and proposes a graph neural network based modeling approach to overcome the limitations of traditional models in capturing complex dependencies and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-20 Zhimin Qiu , Feng Liu , Yuxiao Wang , Chenrui Hu , Ziyu Cheng , Di Wu