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Graphs (networks) are ubiquitous and allow us to model entities (nodes) and the dependencies (edges) between them. Learning a useful feature representation from graph data lies at the heart and success of many machine learning tasks such as…

Accurate and real-time traffic state prediction is of great practical importance for urban traffic control and web mapping services. With the support of massive data, deep learning methods have shown their powerful capability in capturing…

Machine Learning · Computer Science 2023-09-07 Xunlian Luo , Chunjiang Zhu , Detian Zhang , Qing Li

Graph convolution is the core of most Graph Neural Networks (GNNs) and usually approximated by message passing between direct (one-hop) neighbors. In this work, we remove the restriction of using only the direct neighbors by introducing a…

Social and Information Networks · Computer Science 2022-04-06 Johannes Gasteiger , Stefan Weißenberger , Stephan Günnemann

Deep learning, particularly convolutional neural networks (CNNs), have yielded rapid, significant improvements in computer vision and related domains. But conventional deep learning architectures perform poorly when data have an underlying…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Mark Cheung , John Shi , Oren Wright , Lavender Y. Jiang , Xujin Liu , José M. F. Moura

Graph deep learning has recently emerged as a powerful ML concept allowing to generalize successful deep neural architectures to non-Euclidean structured data. Such methods have shown promising results on a broad spectrum of applications…

Machine Learning · Computer Science 2022-05-16 Anees Kazi , Luca Cosmo , Seyed-Ahmad Ahmadi , Nassir Navab , Michael Bronstein

Sampling-based path planning is a widely used method in robotics, particularly in high-dimensional state space. Among the whole process of the path planning, collision detection is the most time-consuming operation. In this paper, we…

Robotics · Computer Science 2023-11-23 Xingrong Diao , Wenzheng Chi , Jiankun Wang

This paper aims at revisiting Graph Convolutional Neural Networks by bridging the gap between spectral and spatial design of graph convolutions. We theoretically demonstrate some equivalence of the graph convolution process regardless it is…

Machine Learning · Computer Science 2020-03-27 Muhammet Balcilar , Guillaume Renton , Pierre Heroux , Benoit Gauzere , Sebastien Adam , Paul Honeine

Graph convolutional network (GCN) based approaches have achieved significant progress for solving complex, graph-structured problems. GCNs incorporate the graph structure information and the node (or edge) features through message passing…

Machine Learning · Computer Science 2021-05-04 Saurav Manchanda , Da Zheng , George Karypis

Graph convolutional networks (GCNs) have achieved great success in dealing with data of non-Euclidean structures. Their success directly attributes to fitting graph structures effectively to data such as in social media and knowledge…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Boyan Xu , Hujun Yin

Graph convolutional networks (GCNs) aim at extending deep learning to arbitrary irregular domains, namely graphs. Their success is highly dependent on how the topology of input graphs is defined and most of the existing GCN architectures…

Computer Vision and Pattern Recognition · Computer Science 2021-12-28 Hichem Sahbi

Heterogeneous information network (HIN) embedding, aiming to map the structure and semantic information in a HIN to distributed representations, has drawn considerable research attention. Graph neural networks for HIN embeddings typically…

Social and Information Networks · Computer Science 2020-07-07 Di Jin , Zhizhi Yu , Dongxiao He , Carl Yang , Philip S. Yu , Jiawei Han

Diffuse interface methods have recently been introduced for the task of semi-supervised learning. The underlying model is well-known in materials science but was extended to graphs using a Ginzburg--Landau functional and the graph…

Machine Learning · Statistics 2016-11-21 Jessica Bosch , Steffen Klamt , Martin Stoll

Convolutional Neural Networks are extremely efficient architectures in image and audio recognition tasks, thanks to their ability to exploit the local translational invariance of signal classes over their domain. In this paper we consider…

Machine Learning · Computer Science 2014-05-22 Joan Bruna , Wojciech Zaremba , Arthur Szlam , Yann LeCun

In graph neural networks (GNNs), message passing iteratively aggregates nodes' information from their direct neighbors while neglecting the sequential nature of multi-hop node connections. Such sequential node connections e.g., metapaths,…

Many network analysis and graph learning techniques are based on models of random walks which require to infer transition matrices that formalize the underlying stochastic process in an observed graph. For weighted graphs, it is common to…

Methodology · Statistics 2022-10-28 Vincenzo Perri , Luka V. Petrović , Ingo Scholtes

Graph Neural Networks (GNNs), despite achieving remarkable performance across different tasks, are theoretically bounded by the 1-Weisfeiler-Lehman test, resulting in limitations in terms of graph expressivity. Even though prior works on…

Machine Learning · Computer Science 2024-04-02 Quang Truong , Peter Chin

The fundamental principle of Graph Neural Networks (GNNs) is to exploit the structural information of the data by aggregating the neighboring nodes using a `graph convolution' in conjunction with a suitable choice for the network…

Machine Learning · Computer Science 2023-11-01 Mahalakshmi Sabanayagam , Pascal Esser , Debarghya Ghoshdastidar

Many interesting problems in machine learning are being revisited with new deep learning tools. For graph-based semisupervised learning, a recent important development is graph convolutional networks (GCNs), which nicely integrate local…

Machine Learning · Computer Science 2018-01-24 Qimai Li , Zhichao Han , Xiao-Ming Wu

The graph Laplacian regularization term is usually used in semi-supervised representation learning to provide graph structure information for a model $f(X)$. However, with the recent popularity of graph neural networks (GNNs), directly…

Machine Learning · Computer Science 2020-12-22 Han Yang , Kaili Ma , James Cheng

Recent advancements in deep neural networks for graph-structured data have led to state-of-the-art performance on recommender system benchmarks. However, making these methods practical and scalable to web-scale recommendation tasks with…

Information Retrieval · Computer Science 2018-06-07 Rex Ying , Ruining He , Kaifeng Chen , Pong Eksombatchai , William L. Hamilton , Jure Leskovec