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The paper defines and studies manifold (M) convolutional filters and neural networks (NNs). \emph{Manifold} filters and MNNs are defined in terms of the Laplace-Beltrami operator exponential and are such that \emph{graph} (G) filters and…

Machine Learning · Computer Science 2024-03-18 Zhiyang Wang , Luana Ruiz , Alejandro Ribeiro

Timely accurate traffic forecast is crucial for urban traffic control and guidance. Due to the high nonlinearity and complexity of traffic flow, traditional methods cannot satisfy the requirements of mid-and-long term prediction tasks and…

Machine Learning · Computer Science 2018-07-13 Bing Yu , Haoteng Yin , Zhanxing Zhu

Researchers of temporal networks (e.g., social networks and transaction networks) have been interested in mining dynamic patterns of nodes from their diverse interactions. Inspired by recently powerful graph mining methods like skip-gram…

Information Retrieval · Computer Science 2023-04-18 Tongya Zheng , Zunlei Feng , Tianli Zhang , Yunzhi Hao , Mingli Song , Xingen Wang , Xinyu Wang , Ji Zhao , Chun Chen

Graph neural networks (GNNs) achieve strong performance on graph learning tasks, but training on large-scale networks remains computationally challenging. Transferability results show that GNNs with fixed weights can generalize from smaller…

Signal Processing · Electrical Eng. & Systems 2026-04-17 Haoyu Wang , Renyuan Ma , Gonzalo Mateos , Luana Ruiz

Urban spatio-temporal data present unique challenges for predictive analytics due to their dynamic and complex nature. We introduce STM-Graph, an open-source Python framework that transforms raw spatio-temporal urban event data into graph…

Machine Learning · Computer Science 2025-09-16 Amirhossein Ghaffari , Huong Nguyen , Lauri Lovén , Ekaterina Gilman

Graph Neural Networks (GNNs) are recently proposed neural network structures for the processing of graph-structured data. Due to their employed neighbor aggregation strategy, existing GNNs focus on capturing node-level information and…

Machine Learning · Computer Science 2022-01-05 Xing Ai , Chengyu Sun , Zhihong Zhang , Edwin R Hancock

We present Spline-based Convolutional Neural Networks (SplineCNNs), a variant of deep neural networks for irregular structured and geometric input, e.g., graphs or meshes. Our main contribution is a novel convolution operator based on…

Computer Vision and Pattern Recognition · Computer Science 2018-05-24 Matthias Fey , Jan Eric Lenssen , Frank Weichert , Heinrich Müller

Dynamic graph neural networks (DGNNs) that operate on snapshot sequences typically fall into one of two categories. \emph{Temporal-first} approaches build per-node temporal embeddings and only afterwards perform spatial aggregation, whereas…

Machine Learning · Computer Science 2026-05-26 Shubhajit Roy , Anirban Dasgupta

Graph Neural Networks (GNNs) have established themselves as the leading models for learning on graph-structured data, generally categorized into spatial and spectral approaches. Central to these architectures is the Graph Shift Operator…

Machine Learning · Computer Science 2026-02-09 Yassine Abbahaddou

This paper introduces Graph Convolutional Recurrent Network (GCRN), a deep learning model able to predict structured sequences of data. Precisely, GCRN is a generalization of classical recurrent neural networks (RNN) to data structured by…

Machine Learning · Statistics 2016-12-23 Youngjoo Seo , Michaël Defferrard , Pierre Vandergheynst , Xavier Bresson

Important advances have been made using convolutional neural network (CNN) approaches to solve complicated problems in areas that rely on grid structured data such as image processing and object classification. Recently, research on graph…

Machine Learning · Statistics 2018-08-24 Matthew Baron

How to obtain informative representations of transactions and then perform the identification of fraudulent transactions is a crucial part of ensuring financial security. Recent studies apply Graph Neural Networks (GNNs) to the transaction…

Machine Learning · Computer Science 2023-07-12 Yue Tian , Guanjun Liu

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

Graph convolutional neural networks (GCNNs) learn compositional representations from network data by nesting linear graph convolutions into nonlinearities. In this work, we approach GCNNs from a state-space perspective revealing that the…

Signal Processing · Electrical Eng. & Systems 2021-02-15 Luana Ruiz , Fernando Gama , Alejandro Ribeiro , Elvin Isufi

Graph Neural Networks (GNNs) have attracted increasing attention due to its successful applications on various graph-structure data. However, recent studies have shown that adversarial attacks are threatening the functionality of GNNs.…

Machine Learning · Computer Science 2021-03-24 Mingming Lu , Ya Zhang

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

Graph Neural Networks (GNNs), particularly Graph Convolutional Neural Networks (GCNNs), have emerged as pivotal instruments in machine learning and signal processing for processing graph-structured data. This paper proposes an analysis…

Machine Learning · Statistics 2024-11-04 Xinjue Wang , Esa Ollila , Sergiy A. Vorobyov

In recent years, there has been an increasing interest in the use of graph neural networks (GNNs) for analyzing dynamic graphs, which are graphs that evolve over time. However, there is still a lack of understanding of how different…

Machine Learning · Computer Science 2023-05-03 Rishu Verma , Ashmita Bhattacharya , Sai Naveen Katla

Graph Neural Networks (GNNs) are powerful machine learning models that excel at analyzing structured data represented as graphs, demonstrating remarkable performance in applications like social network analysis and recommendation systems.…

Quantum Physics · Physics 2024-05-28 Yidong Liao , Xiao-Ming Zhang , Chris Ferrie

This study focuses on the challenge of predicting network traffic within complex topological environments. It introduces a spatiotemporal modeling approach that integrates Graph Convolutional Networks (GCN) with Gated Recurrent Units (GRU).…

Machine Learning · Computer Science 2025-05-13 Nan Jiang , Wenxuan Zhu , Xu Han , Weiqiang Huang , Yumeng Sun