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Graph Convolutional Networks (GCNs) have shown very powerful for graph data representation and learning tasks. Existing GCNs usually conduct feature aggregation on a fixed neighborhood graph in which each node computes its representation by…

Computer Vision and Pattern Recognition · Computer Science 2019-11-21 Bo Jiang , Beibei Wang , Jin Tang , Bin Luo

Time series forecasting is an extensively studied subject in statistics, economics, and computer science. Exploration of the correlation and causation among the variables in a multivariate time series shows promise in enhancing the…

Machine Learning · Computer Science 2021-04-22 Chao Shang , Jie Chen , Jinbo Bi

Graph Neural Networks (GNNs) are versatile, powerful machine learning methods that enable graph structure and feature representation learning, and have applications across many domains. For applications critically requiring interpretation,…

Machine Learning · Computer Science 2020-07-02 Chris Lin , Gerald J. Sun , Krishna C. Bulusu , Jonathan R. Dry , Marylens Hernandez

Graph neural networks (GNNs) have become a popular approach to integrating structural inductive biases into NLP models. However, there has been little work on interpreting them, and specifically on understanding which parts of the graphs…

Computation and Language · Computer Science 2022-10-04 Michael Sejr Schlichtkrull , Nicola De Cao , Ivan Titov

Graph Convolutional Networks (GCNs) are widely used in a variety of applications, and can be seen as an unstructured version of standard Convolutional Neural Networks (CNNs). As in CNNs, the computational cost of GCNs for large input graphs…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Moshe Eliasof , Benjamin Bodner , Eran Treister

Although graph neural networks (GNNs) have made great progress recently on learning from graph-structured data in practice, their theoretical guarantee on generalizability remains elusive in the literature. In this paper, we provide a…

Machine Learning · Computer Science 2020-06-26 Shuai Zhang , Meng Wang , Sijia Liu , Pin-Yu Chen , Jinjun Xiong

Graph Convolutional Network (GCN) has experienced great success in graph analysis tasks. It works by smoothing the node features across the graph. The current GCN models overwhelmingly assume that the node feature information is complete.…

Machine Learning · Computer Science 2020-12-08 Hibiki Taguchi , Xin Liu , Tsuyoshi Murata

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

As one of popular quantitative metrics to assess the quality of explanation of graph neural networks (GNNs), fidelity measures the output difference after removing unimportant parts of the input graph. Fidelity has been widely used due to…

Machine Learning · Computer Science 2024-06-18 Yong-Min Shin , Won-Yong Shin

Existing approaches to the crime prediction problem are unsuccessful in expressing the details since they assign the probability values to large regions. This paper introduces a new architecture with the graph convolutional networks (GCN)…

Machine Learning · Computer Science 2021-12-17 Selim Furkan Tekin , Suleyman Serdar Kozat

The nodes of a graph existing in a cluster are more likely to connect to each other than with other nodes in the graph. Then revealing some information about some nodes, the structure of the graph (graph edges) provides this opportunity to…

Machine Learning · Computer Science 2020-11-17 Mohammad Esmaeili , Aria Nosratinia

Graph convolutional network (GCN) is now an effective tool to deal with non-Euclidean data, such as social networks in social behavior analysis, molecular structure analysis in the field of chemistry, and skeleton-based action recognition.…

Computer Vision and Pattern Recognition · Computer Science 2020-02-26 Ziqing Yang , Shoudong Han , Jun Zhao

In presence of sparse noise we propose kernel regression for predicting output vectors which are smooth over a given graph. Sparse noise models the training outputs being corrupted either with missing samples or large perturbations. The…

Machine Learning · Statistics 2018-11-07 Arun Venkitaraman , Pascal Frossard , Saikat Chatterjee

Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

Machine Learning · Statistics 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

Graph Neural Networks have become one of the indispensable tools to learn from graph-structured data, and their usefulness has been shown in wide variety of tasks. In recent years, there have been tremendous improvements in architecture…

Machine Learning · Statistics 2021-11-15 Sunil Kumar Maurya , Xin Liu , Tsuyoshi Murata

Methods for training models on graphs distributed across multiple clients have recently grown in popularity, due to the size of these graphs as well as regulations on keeping data where it is generated. However, the cross-client edges…

Machine Learning · Computer Science 2023-12-19 Yuhang Yao , Weizhao Jin , Srivatsan Ravi , Carlee Joe-Wong

Graph convolutional neural networks (GCNNs) have received much attention recently, owing to their capability in handling graph-structured data. Among the existing GCNNs, many methods can be viewed as instances of a neural message passing…

Machine Learning · Computer Science 2021-03-19 Tien Huu Do , Duc Minh Nguyen , Giannis Bekoulis , Adrian Munteanu , Nikos Deligiannis

This paper proposes a scalable algorithmic framework for spectral reduction of large undirected graphs. The proposed method allows computing much smaller graphs while preserving the key spectral (structural) properties of the original…

Data Structures and Algorithms · Computer Science 2018-12-24 Zhiqiang Zhao , Yongyu Wang , Zhuo Feng

Graph coarsening is a technique for solving large-scale graph problems by working on a smaller version of the original graph, and possibly interpolating the results back to the original graph. It has a long history in scientific computing…

Machine Learning · Computer Science 2023-06-16 Yifan Chen , Rentian Yao , Yun Yang , Jie Chen

Spectral Clustering is one of the most traditional methods to solve segmentation problems. Based on Normalized Cuts, it aims at partitioning an image using an objective function defined by a graph. Despite their mathematical attractiveness,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Rahul Palnitkar , Jeova Farias Sales Rocha Neto