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Graph convolutional network (GCN) provides a powerful means for graph-based semi-supervised tasks. However, as a localized first-order approximation of spectral graph convolution, the classic GCN can not take full advantage of unlabeled…

Machine Learning · Computer Science 2018-09-27 Yawei Luo , Tao Guan , Junqing Yu , Ping Liu , Yi Yang

Graph neural networks (GNNs) work remarkably well in semi-supervised node regression, yet a rigorous theory explaining when and why they succeed remains lacking. To address this gap, we study an aggregate-and-readout model that encompasses…

Machine Learning · Statistics 2026-02-20 Juntong Chen , Claire Donnat , Olga Klopp , Johannes Schmidt-Hieber

Graph Convolutional Networks (GCNs) have proven to be successful tools for semi-supervised classification on graph-based datasets. We propose a new GCN variant whose three-part filter space is targeted at dense graphs. Examples include…

Machine Learning · Computer Science 2021-01-29 Dominik Alfke , Martin Stoll

Graph convolutional networks (GCNs) are a widely used method for graph representation learning. We investigate the power of GCNs, as a function of their number of layers, to distinguish between different random graph models on the basis of…

Machine Learning · Statistics 2020-02-14 Abram Magner , Mayank Baranwal , Alfred O. Hero

Graph convolutional networks (GCNs) are a widely used method for graph representation learning. To elucidate the capabilities and limitations of GCNs, we investigate their power, as a function of their number of layers, to distinguish…

Machine Learning · Statistics 2020-05-14 Abram Magner , Mayank Baranwal , Alfred O. Hero

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…

Machine Learning · Computer Science 2020-08-14 Xianfeng Tang , Huaxiu Yao , Yiwei Sun , Yiqi Wang , Jiliang Tang , Charu Aggarwal , Prasenjit Mitra , Suhang Wang

Recently, techniques for applying convolutional neural networks to graph-structured data have emerged. Graph convolutional neural networks (GCNNs) have been used to address node and graph classification and matrix completion. Although the…

Machine Learning · Statistics 2018-11-28 Yingxue Zhang , Soumyasundar Pal , Mark Coates , Deniz Üstebay

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…

Machine Learning · Computer Science 2019-02-13 Shikhar Vashishth , Prateek Yadav , Manik Bhandari , Partha Talukdar

It has long been known that a single-layer fully-connected neural network with an i.i.d. prior over its parameters is equivalent to a Gaussian process (GP), in the limit of infinite network width. This correspondence enables exact Bayesian…

Graph Convolutional Networks (GCNs) have been shown to be a powerful concept that has been successfully applied to a large variety of tasks across many domains over the past years. In this work we study the theory that paved the way to the…

Machine Learning · Computer Science 2022-07-13 Matteo Bunino

Graph Convolutional Networks (GCNs) are powerful for processing graph-structured data and have achieved state-of-the-art performance in several tasks such as node classification, link prediction, and graph classification. However, it is…

Machine Learning · Computer Science 2021-10-19 Langzhang Liang , Cuiyun Gao , Shiyi Chen , Shishi Duan , Yu pan , Junjin Zheng , Lei Wang , Zenglin Xu

Compared to sequential learning models, graph-based neural networks exhibit excellent ability in capturing global information and have been used for semi-supervised learning tasks. Most Graph Convolutional Networks are designed with the…

Computation and Language · Computer Science 2022-04-12 Kunze Wang , Soyeon Caren Han , Siqu Long , Josiah Poon

Graph-based Semi-Supervised Learning (SSL) aims to transfer the labels of a handful of labeled data to the remaining massive unlabeled data via a graph. As one of the most popular graph-based SSL approaches, the recently proposed Graph…

Machine Learning · Computer Science 2020-09-22 Sheng Wan , Shirui Pan , Jian Yang , Chen Gong

Graph neural networks (GNNs) have emerged as powerful tools for processing relational data in applications. However, GNNs suffer from the problem of oversmoothing, the property that the features of all nodes exponentially converge to the…

Machine Learning · Statistics 2025-05-22 Bastian Epping , Alexandre René , Moritz Helias , Michael T. Schaub

Semi-supervised node classification in attributed graphs, i.e., graphs with node features, involves learning to classify unlabeled nodes given a partially labeled graph. Label predictions are made by jointly modeling the node and its'…

Machine Learning · Computer Science 2018-09-24 Priyesh Vijayan , Yash Chandak , Mitesh M. Khapra , Srinivasan Parthasarathy , Balaraman Ravindran

Graph neural networks (GNNs) have gained traction over the past few years for their superior performance in numerous machine learning tasks. Graph Convolutional Neural Networks (GCN) are a common variant of GNNs that are known to have high…

Machine Learning · Computer Science 2022-07-06 Sannat Singh Bhasin , Vaibhav Holani , Divij Sanjanwala

Graph convolutional networks (GCNs) have been successfully applied in node classification tasks of network mining. However, most of these models based on neighborhood aggregation are usually shallow and lack the "graph pooling" mechanism,…

Social and Information Networks · Computer Science 2019-06-11 Fenyu Hu , Yanqiao Zhu , Shu Wu , Liang Wang , Tieniu Tan

Unsupervised clustering on speakers is becoming increasingly important for its potential uses in semi-supervised learning. In reality, we are often presented with enormous amounts of unlabeled data from multi-party meetings and discussions.…

Audio and Speech Processing · Electrical Eng. & Systems 2022-04-26 Fuchuan Tong , Siqi Zheng , Min Zhang , Yafeng Chen , Hongbin Suo , Qingyang Hong , Lin Li

Graph convolutional neural networks (GCNN) have been successfully applied to many different graph based learning tasks including node and graph classification, matrix completion, and learning of node embeddings. Despite their impressive…

Machine Learning · Computer Science 2019-10-29 Soumyasundar Pal , Florence Regol , Mark Coates

Graph Neural Networks (GNNs) have attracted increasing attention in recent years and have achieved excellent performance in semi-supervised node classification tasks. The success of most GNNs relies on one fundamental assumption, i.e., the…

Machine Learning · Computer Science 2024-12-03 Junchao Lin , Yuan Wan , Jingwen Xu , Xingchen Qi