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Graph Convolutional Networks (GCNs) are powerful models for learning representations of attributed graphs. To scale GCNs to large graphs, state-of-the-art methods use various layer sampling techniques to alleviate the "neighbor explosion"…

机器学习 · 计算机科学 2020-02-18 Hanqing Zeng , Hongkuan Zhou , Ajitesh Srivastava , Rajgopal Kannan , Viktor Prasanna

It is a usual practice to ignore any structural information underlying classes in multi-class classification. In this paper, we propose a graph convolutional network (GCN) augmented neural network classifier to exploit a known, underlying…

机器学习 · 计算机科学 2018-02-23 Meihao Chen , Zhuoru Lin , Kyunghyun Cho

Graph Convolutional Networks (GCNs) and their variants have experienced significant attention and have become the de facto methods for learning graph representations. GCNs derive inspiration primarily from recent deep learning approaches,…

机器学习 · 计算机科学 2019-06-21 Felix Wu , Tianyi Zhang , Amauri Holanda de Souza , Christopher Fifty , Tao Yu , Kilian Q. Weinberger

The Graph Convolutional Network (GCN) model and its variants are powerful graph embedding tools for facilitating classification and clustering on graphs. However, a major challenge is to reduce the complexity of layered GCNs and make them…

机器学习 · 计算机科学 2020-08-06 Hanqing Zeng , Hongkuan Zhou , Ajitesh Srivastava , Rajgopal Kannan , Viktor Prasanna

Graph convolutional networks (GCNs) suffer from the irregularity of graphs, while more widely-used convolutional neural networks (CNNs) benefit from regular grids. To bridge the gap between GCN and CNN, in contrast to previous works on…

机器学习 · 计算机科学 2019-09-30 Yecheng Lyu , Xinming Huang , Ziming Zhang

We present new approaches to constructing graph sparsifiers --- weighted subgraphs for which every cut has the same value as the original graph, up to a factor of $(1 \pm \epsilon)$. Our first approach independently samples each edge $uv$…

数据结构与算法 · 计算机科学 2010-08-10 Wai Shing Fung , Nicholas J. A. Harvey

Graph convolutional networks (GCNs) have shown promising results in processing graph data by extracting structure-aware features. This gave rise to extensive work in geometric deep learning, focusing on designing network architectures that…

机器学习 · 计算机科学 2022-01-20 Yimeng Min , Frederik Wenkel , Guy Wolf

The objective of graph coarsening is to generate smaller, more manageable graphs while preserving key information of the original graph. Previous work were mainly based on the perspective of spectrum-preserving, using some predefined…

人工智能 · 计算机科学 2025-06-25 Shuyin Xia , Guan Wang , Gaojie Xu , Sen Zhao , Guoyin Wang

To accelerate the training of graph convolutional networks (GCNs) on real-world large-scale sparse graphs, downsampling methods are commonly employed as a preprocessing step. However, the effects of graph sparsity and topological structure…

机器学习 · 计算机科学 2024-09-10 Qinji Shu , Hang Sheng , Feng Ji , Hui Feng , Bo Hu

Graph sparsification is a technique that approximates a given graph by a sparse graph with a subset of vertices and/or edges. The goal of an effective sparsification algorithm is to maintain specific graph properties relevant to the…

数据库 · 计算机科学 2023-11-22 Yuhan Chen , Haojie Ye , Sanketh Vedula , Alex Bronstein , Ronald Dreslinski , Trevor Mudge , Nishil Talati

We define a novel type of ensemble Graph Convolutional Network (GCN) model. Using optimized linear projection operators to map between spatial scales of graph, this ensemble model learns to aggregate information from each scale for its…

机器学习 · 计算机科学 2020-04-08 C. B. Scott , Eric Mjolsness

Graph Convolutional Networks (GCNs) show promising results for semi-supervised learning tasks on graphs, thus become favorable comparing with other approaches. Despite the remarkable success of GCNs, it is difficult to train GCNs with…

机器学习 · 计算机科学 2020-08-14 Xianfeng Tang , Huaxiu Yao , Yiwei Sun , Yiqi Wang , Jiliang Tang , Charu Aggarwal , Prasenjit Mitra , Suhang Wang

Recent spectral graph sparsification techniques have shown promising performance in accelerating many numerical and graph algorithms, such as iterative methods for solving large sparse matrices, spectral partitioning of undirected graphs,…

数据结构与算法 · 计算机科学 2020-08-19 Ying Zhang , Zhiqiang Zhao , Zhuo Feng

We propose a novel pool-based Active Learning framework constructed on a sequential Graph Convolution Network (GCN). Each image's feature from a pool of data represents a node in the graph and the edges encode their similarities. With a…

计算机视觉与模式识别 · 计算机科学 2021-04-02 Razvan Caramalau , Binod Bhattarai , Tae-Kyun Kim

Graph Neural Networks (GNNs) are powerful models for graph-structured data, with broad applications. However, the interplay between GNN parameter optimization, expressivity, and generalization remains poorly understood. We address this by…

机器学习 · 计算机科学 2025-09-16 Samir Moustafa , Lorenz Kummer , Simon Fetzel , Nils M. Kriege , Wilfried N. Gansterer

How might one "reduce" a graph? That is, generate a smaller graph that preserves the global structure at the expense of discarding local details? There has been extensive work on both graph sparsification (removing edges) and graph…

离散数学 · 计算机科学 2020-02-18 Gecia Bravo-Hermsdorff , Lee M. Gunderson

This paper focuses on addressing challenges posed by non-homogeneous unstructured grids, commonly used in Computational Fluid Dynamics (CFD). Their prevalence in CFD scenarios has motivated the exploration of innovative approaches for…

计算工程、金融与科学 · 计算机科学 2024-05-08 Gabriele Immordino , Andrea Vaiuso , Andrea Da Ronch , Marcello Righi

Graph Convolutional Networks (GCNs) have received significant attention from various research fields due to the excellent performance in learning graph representations. Although GCN performs well compared with other methods, it still faces…

机器学习 · 计算机科学 2021-09-06 Xin Liu , Mingyu Yan , Lei Deng , Guoqi Li , Xiaochun Ye , Dongrui Fan

Predicting properties of nodes in a graph is an important problem with applications in a variety of domains. Graph-based Semi-Supervised Learning (SSL) methods aim to address this problem by labeling a small subset of the nodes as seeds and…

机器学习 · 计算机科学 2019-02-13 Shikhar Vashishth , Prateek Yadav , Manik Bhandari , Partha Talukdar

Graph convolutional networks (GCNs) were a great step towards extending deep learning to unstructured data such as graphs. But GCNs still need a constructed graph to work with. To solve this problem, classical graphs such as $k$-nearest…

机器学习 · 计算机科学 2023-10-24 Mashaan Alshammari , John Stavrakakis , Adel F. Ahmed , Masahiro Takatsuka