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The simulation of microcirculatory blood flow in realistic vascular architectures poses significant challenges due to the multiscale nature of the problem and the topological complexity of capillary networks. In this work, we propose a…

Numerical Analysis · Mathematics 2025-12-12 Paolo Botta , Piermario Vitullo , Thomas Ventimiglia , Andreas Linninger , Paolo Zunino

Accurate prediction of structural displacements under external loading is fundamental to structural health monitoring and seismic safety assessment. Although the finite element method (FEM) remains the prevailing approach because of its…

Machine Learning · Computer Science 2026-05-12 Hung-Fu Chang , Tzu-Kang Lin , Yung-Li Cheng

Spatio-temporal graph neural networks (STGNN) have become the most popular solution to traffic forecasting. While successful, they rely on the message passing scheme of GNNs to establish spatial dependencies between nodes, and thus…

Machine Learning · Computer Science 2023-01-31 Xu Liu , Yuxuan Liang , Chao Huang , Hengchang Hu , Yushi Cao , Bryan Hooi , Roger Zimmermann

Graph neural networks (GNNs) have emerged as a versatile and efficient option for modeling the dynamic behavior of deformable materials. While GNNs generalize readily to arbitrary shapes, mesh topologies, and material parameters, existing…

Machine Learning · Computer Science 2026-04-30 Jiahong Wang , Logan Numerow , Stelian Coros , Christian Theobalt , Vahid Babaei , Bernhard Thomaszewski

Graph Neural Networks (GNN) have gained significant traction in the forecasting domain, especially for their capacity to simultaneously account for intra-series temporal correlations and inter-series relationships. This paper introduces a…

Machine Learning · Computer Science 2024-05-30 Abishek Sriramulu , Nicolas Fourrier , Christoph Bergmeir

Traffic forecasting is an important prerequisite for the application of intelligent transportation systems in urban traffic networks. The existing works adopted RNN and CNN/GCN, among which GCRN is the state of art work, to characterize the…

Artificial Intelligence · Computer Science 2020-09-18 Ya Zhang , Mingming Lu , Haifeng Li

In the era of big data, there has been a surge in the availability of data containing rich spatial and temporal information, offering valuable insights into dynamic systems and processes for applications such as weather forecasting, natural…

Machine Learning · Computer Science 2023-06-02 Yun Li , Dazhou Yu , Zhenke Liu , Minxing Zhang , Xiaoyun Gong , Liang Zhao

A central question in neuroscience is how self-organizing dynamic interactions in the brain emerge on their relatively static structural backbone. Due to the complexity of spatial and temporal dependencies between different brain areas,…

Neurons and Cognition · Quantitative Biology 2020-10-15 Simon Wein , Wilhelm Malloni , Ana Maria Tomé , Sebastian M. Frank , Gina-Isabelle Henze , Stefan Wüst , Mark W. Greenlee , Elmar W. Lang

Spatial-temporal graphs are widely used in a variety of real-world applications. Spatial-Temporal Graph Neural Networks (STGNNs) have emerged as a powerful tool to extract meaningful insights from this data. However, in real-world…

Machine Learning · Computer Science 2024-12-18 Zhenyu Lei , Yushun Dong , Jundong Li , Chen Chen

Many real-world ubiquitous applications, such as parking recommendations and air pollution monitoring, benefit significantly from accurate long-term spatio-temporal forecasting (LSTF). LSTF makes use of long-term dependency between spatial…

Machine Learning · Computer Science 2022-09-02 Wei Shao , Zhiling Jin , Shuo Wang , Yufan Kang , Xiao Xiao , Hamid Menouar , Zhaofeng Zhang , Junshan Zhang , Flora Salim

The price movement prediction of stock market has been a classical yet challenging problem, with the attention of both economists and computer scientists. In recent years, graph neural network has significantly improved the prediction…

Statistical Finance · Quantitative Finance 2023-05-16 Sheng Xiang , Dawei Cheng , Chencheng Shang , Ying Zhang , Yuqi Liang

Graph neural networks (GNNs) provide a powerful and scalable solution for modeling continuous spatial data. However, they often rely on Euclidean distances to construct the input graphs. This assumption can be improbable in many real-world…

Machine Learning · Computer Science 2023-02-20 Konstantin Klemmer , Nathan Safir , Daniel B. Neill

We introduce a novel Dynamic Graph Neural Network (DGNN) architecture for solving conditional $m$-steps ahead forecasting problems in temporal financial networks. The proposed DGNN is validated on simulated data from a temporal financial…

Risk Management · Quantitative Finance 2024-10-31 Matteo Citterio , Marco D'Errico , Gabriele Visentin

We introduce the concept of a Graph-Informed Neural Network (GINN), a hybrid approach combining deep learning with probabilistic graphical models (PGMs) that acts as a surrogate for physics-based representations of multiscale and…

Computational Physics · Physics 2021-03-17 Eric J. Hall , Søren Taverniers , Markos A. Katsoulakis , Daniel M. Tartakovsky

Spatio-temporal prediction plays an important role in many application areas especially in traffic domain. However, due to complicated spatio-temporal dependency and high non-linear dynamics in road networks, traffic prediction task is…

Machine Learning · Computer Science 2019-03-05 Bing Yu , Mengzhang Li , Jiyong Zhang , Zhanxing Zhu

Temporal Knowledge Graph (TKG) is an extension of traditional Knowledge Graph (KG) that incorporates the dimension of time. Reasoning on TKGs is a crucial task that aims to predict future facts based on historical occurrences. The key…

Artificial Intelligence · Computer Science 2024-01-26 Hao Dong , Pengyang Wang , Meng Xiao , Zhiyuan Ning , Pengfei Wang , Yuanchun Zhou

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

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,…

Machine Learning · Computer Science 2025-10-30 Alessandro Lucchetti , Francesco Cadini , Marco Giglio , Luca Lomazzi

In recent years, various deep learning architectures have been proposed to solve complex challenges (e.g. spatial dependency, temporal dependency) in traffic domain, which have achieved satisfactory performance. These architectures are…

Signal Processing · Electrical Eng. & Systems 2021-01-01 Jiexia Ye , Juanjuan Zhao , Kejiang Ye , Chengzhong Xu

Graph Neural Networks (GNNs) have emerged as transformative tools for modeling complex relational data, offering unprecedented capabilities in tasks like forecasting and optimization. This study investigates the application of GNNs to…

Machine Learning · Computer Science 2025-01-14 Chi-Sheng Chen , Ying-Jung Chen
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