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This paper presents a novel approach for accelerating n-body simulations by integrating a physics-informed graph neural networks (GNN) with traditional numerical methods. Our method implements a leapfrog-based simulation engine to generate…

Machine Learning · Computer Science 2025-04-03 Víctor Ramos-Osuna , Alberto Díaz-Álvarez , Raúl Lara-Cabrera

A Physics-Informed Dynamic Graph Neural Network (PIDGeuN) is presented to accurately, efficiently and robustly predict the nonlinear transient dynamics of microgrids in the presence of disturbances. The graph-based architecture of PIDGeuN…

Systems and Control · Electrical Eng. & Systems 2022-04-20 Yin Yu , Xinyuan Jiang , Daning Huang , Yan Li

Demand forecasting is a prominent business use case that allows retailers to optimize inventory planning, logistics, and core business decisions. One of the key challenges in demand forecasting is accounting for relationships and…

Machine Learning · Computer Science 2024-01-25 Nikita Kozodoi , Elizaveta Zinovyeva , Simon Valentin , João Pereira , Rodrigo Agundez

Spatial-temporal graph modeling is an important task to analyze the spatial relations and temporal trends of components in a system. Existing approaches mostly capture the spatial dependency on a fixed graph structure, assuming that the…

Machine Learning · Computer Science 2019-06-04 Zonghan Wu , Shirui Pan , Guodong Long , Jing Jiang , Chengqi Zhang

This paper derives statistical guarantees for the performance of Graph Neural Networks (GNNs) in link prediction tasks on graphs generated by a graphon. We propose a linear GNN architecture (LG-GNN) that produces consistent estimators for…

Machine Learning · Computer Science 2024-02-08 Alan Chung , Amin Saberi , Morgane Austern

Predicting network dynamics based on data, a problem with broad applications, has been studied extensively in the past, but most existing approaches assume that the complete set of historical data from the whole network is available. This…

Physics and Society · Physics 2022-06-13 Xin Xia , Yansen Su , Linyuan Lv , Xingyi Zhang , Ying-Cheng Lai , Hai-Feng Zhang

Notably, current intelligent transportation systems rely heavily on accurate traffic forecasting and swift inference provision to make timely decisions. While Graph Convolutional Networks (GCNs) have shown benefits in modeling complex…

Machine Learning · Computer Science 2025-08-12 Zhaoyan Wang , Xiangchi Song , In-Young Ko

Time-evolving traffic flow forecasting are playing a vital role in intelligent transportation systems and smart cities. However, the dynamic traffic flow forecasting is a highly nonlinear problem with complex temporal-spatial dependencies.…

Machine Learning · Computer Science 2025-08-05 Zhenan Lin , Yuni Lai , Wai Lun Lo , Richard Tai-Chiu Hsung , Harris Sik-Ho Tsang , Xiaoyu Xue , Kai Zhou , Yulin Zhu

Graph Neural Networks (GNNs) are widely used deep learning models that learn meaningful representations from graph-structured data. Due to the finite nature of the underlying recurrent structure, current GNN methods may struggle to capture…

Machine Learning · Computer Science 2021-06-02 Fangda Gu , Heng Chang , Wenwu Zhu , Somayeh Sojoudi , Laurent El Ghaoui

Real-time condition monitoring is crucial for the reliable and efficient operation of complex systems. However, relying solely on physical sensors can be limited due to their cost, placement constraints, or inability to directly measure…

Machine Learning · Computer Science 2025-03-07 Mengjie Zhao , Cees Taal , Stephan Baggerohr , Olga Fink

Traffic forecasting is important for the success of intelligent transportation systems. Deep learning models, including convolution neural networks and recurrent neural networks, have been extensively applied in traffic forecasting problems…

Machine Learning · Computer Science 2022-07-08 Weiwei Jiang , Jiayun Luo

Soft tissue simulation in virtual environments is becoming increasingly important for medical applications. However, the high deformability of soft tissue poses significant challenges. Existing methods rely on segmentation, meshing and…

Machine Learning · Computer Science 2025-08-08 Madina Kojanazarova , Florentin Bieder , Robin Sandkühler , Philippe C. Cattin

An effective understanding of the contextual environment and accurate motion forecasting of surrounding agents is crucial for the development of autonomous vehicles and social mobile robots. This task is challenging since the behavior of an…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Defu Cao , Jiachen Li , Hengbo Ma , Masayoshi Tomizuka

Temporal graphs are widespread in real-world applications such as social networks, as well as trade and transportation networks. Predicting dynamic links within these evolving graphs is a key problem. Many memory-based methods use temporal…

Machine Learning · Computer Science 2025-12-16 Xiaohui Zhang , Yanbo Wang , Xiyuan Wang , Muhan Zhang

Graph Neural Networks (GNNs) have been widely used for modeling graph-structured data. With the development of numerous GNN variants, recent years have witnessed groundbreaking results in improving the scalability of GNNs to work on static…

Machine Learning · Computer Science 2022-06-06 Yanping Zheng , Hanzhi Wang , Zhewei Wei , Jiajun Liu , Sibo Wang

Learning to reason about relations and dynamics over multiple interacting objects is a challenging topic in machine learning. The challenges mainly stem from that the interacting systems are exponentially-compositional, symmetrical, and…

Machine Learning · Computer Science 2022-03-15 Wenbing Huang , Jiaqi Han , Yu Rong , Tingyang Xu , Fuchun Sun , Junzhou Huang

The recent deep generative models for static graphs that are now being actively developed have achieved significant success in areas such as molecule design. However, many real-world problems involve temporal graphs whose topology and…

Machine Learning · Computer Science 2021-03-09 Liming Zhang , Liang Zhao , Shan Qin , Dieter Pfoser

Graph neural networks (GNNs) have attracted much attention due to their ability to leverage the intrinsic geometries of the underlying data. Although many different types of GNN models have been developed, with many benchmarking procedures…

Urban flow prediction is a spatio-temporal modeling task that estimates the throughput of transportation services like buses, taxis, and ride-sharing, where data-driven models have become the most popular solution in the past decade.…

Machine Learning · Computer Science 2024-08-07 Wei Jiang , Tong Chen , Guanhua Ye , Wentao Zhang , Lizhen Cui , Zi Huang , Hongzhi Yin

Traffic forecasting has attracted widespread attention recently. In reality, traffic data usually contains missing values due to sensor or communication errors. The Spatio-temporal feature in traffic data brings more challenges for…

Machine Learning · Computer Science 2022-12-14 Jingwei Zuo , Karine Zeitouni , Yehia Taher , Sandra Garcia-Rodriguez
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