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This paper studies graphical model selection, i.e., the problem of estimating a graph of statistical relationships among a collection of random variables. Conventional graphical model selection algorithms are passive, i.e., they require all…

Machine Learning · Statistics 2014-04-15 Divyanshu Vats , Robert D. Nowak , Richard G. Baraniuk

Collaborative Filtering (CF) is one of the most successful approaches for recommender systems. With the emergence of online social networks, social recommendation has become a popular research direction. Most of these social recommendation…

Information Retrieval · Computer Science 2019-07-12 Le Wu , Peijie Sun , Richang Hong , Yanjie Fu , Xiting Wang , Meng Wang

Graph Convolutional Network (GCN) has been widely used in graph learning tasks. However, GCN-based models (GCNs) is an inherently coupled training framework repetitively conducting the complex neighboring aggregation, which leads to the…

Machine Learning · Computer Science 2020-07-23 Dalong Yang , Chuan Chen , Youhao Zheng , Zibin Zheng , Shih-wei Liao

Learning representation for graph classification turns a variable-size graph into a fixed-size vector (or matrix). Such a representation works nicely with algebraic manipulations. Here we introduce a simple method to augment an attributed…

Machine Learning · Computer Science 2017-08-16 Trang Pham , Truyen Tran , Hoa Dam , Svetha Venkatesh

Numerous important problems can be framed as learning from graph data. We propose a framework for learning convolutional neural networks for arbitrary graphs. These graphs may be undirected, directed, and with both discrete and continuous…

Machine Learning · Computer Science 2016-06-09 Mathias Niepert , Mohamed Ahmed , Konstantin Kutzkov

Graph convolutional networks (GCNs) enable end-to-end learning on graph structured data. However, many works assume a given graph structure. When the input graph is noisy or unavailable, one approach is to construct or learn a latent graph…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Avishkar Saha , Oscar Mendez , Chris Russell , Richard Bowden

The graph structure is a commonly used data storage mode, and it turns out that the low-dimensional embedded representation of nodes in the graph is extremely useful in various typical tasks, such as node classification, link prediction ,…

Social and Information Networks · Computer Science 2020-08-03 Xing Li , Wei Wei , Xiangnan Feng , Xue Liu , Zhiming Zheng

Graph Convolutional Networks (GCNs) are one of the most popular architectures that are used to solve classification problems accompanied by graphical information. We present a rigorous theoretical understanding of the effects of graph…

Machine Learning · Computer Science 2022-08-03 Aseem Baranwal , Kimon Fountoulakis , Aukosh Jagannath

Graph Convolutional Networks (GCNs) are predominantly tailored for graphs displaying homophily, where similar nodes connect, but often fail on heterophilic graphs. The strategy of adopting distinct approaches to learn from homophilic and…

Machine Learning · Computer Science 2025-04-09 Han Lei , Jiaxing Xu , Xia Dong , Yiping Ke

Graph neural networks (GNNs) have significantly improved the representation power for graph-structured data. Despite of the recent success of GNNs, the graph convolution in most GNNs have two limitations. Since the graph convolution is…

Machine Learning · Computer Science 2021-12-30 Jinyoung Park , Sungdong Yoo , Jihwan Park , Hyunwoo J. Kim

Graph kernels are kernel methods measuring graph similarity and serve as a standard tool for graph classification. However, the use of kernel methods for node classification, which is a related problem to graph representation learning, is…

Machine Learning · Computer Science 2019-10-08 Yu Tian , Long Zhao , Xi Peng , Dimitris N. Metaxas

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

Graph Neural Networks (GNNs) have recently been used for node and graph classification tasks with great success, but GNNs model dependencies among the attributes of nearby neighboring nodes rather than dependencies among observed node…

Machine Learning · Computer Science 2020-09-30 Mengyue Hang , Jennifer Neville , Bruno Ribeiro

Graph convolutional networks (GCNs) have gained popularity due to high performance achievable on several downstream tasks including node classification. Several architectural variants of these networks have been proposed and investigated…

Machine Learning · Computer Science 2020-04-09 Rahul Ragesh , Sundararajan Sellamanickam , Vijay Lingam , Arun Iyer

Graph Convolutional Networks (GCNs) have become a standard approach for semi-supervised node classification, yet practitioners lack clear guidance on when GCNs provide meaningful improvements over simpler baselines. We present a diagnostic…

Machine Learning · Computer Science 2025-12-16 Nischal Subedi , Ember Kerstetter , Winnie Li , Silo Murphy

The first provably efficient algorithm for learning graph neural networks (GNNs) with one hidden layer for node information convolution is provided in this paper. Two types of GNNs are investigated, depending on whether labels are attached…

Machine Learning · Computer Science 2020-12-08 Qunwei Li , Shaofeng Zou , Wenliang Zhong

Recent studies on Graph Convolutional Networks (GCNs) reveal that the initial node representations (i.e., the node representations before the first-time graph convolution) largely affect the final model performance. However, when learning…

Machine Learning · Computer Science 2022-03-10 Weijian Chen , Fuli Feng , Qifan Wang , Xiangnan He , Chonggang Song , Guohui Ling , Yongdong Zhang

A graph-based classification method is proposed for semi-supervised learning in the case of Euclidean data and for classification in the case of graph data. Our manifold learning technique is based on a convex optimization problem involving…

Machine Learning · Computer Science 2019-01-29 Carlos M. Alaíz , Michaël Fanuel , Johan A. K. Suykens

This paper studies graph-based active learning, where the goal is to reconstruct a binary signal defined on the nodes of a weighted graph, by sampling it on a small subset of the nodes. A new sampling algorithm is proposed, which…

Machine Learning · Computer Science 2016-05-19 Eyal En Gad , Akshay Gadde , A. Salman Avestimehr , Antonio Ortega

Identifying influential nodes in complex networks is of great importance, and has many applications in practice. For example, finding influential nodes in e-commerce network can provide merchants with customers with strong purchase intent;…

Social and Information Networks · Computer Science 2025-08-05 Yanmei Hu , Siyuan Yin , Yihang Wu , Xue Yue , Yue Liu
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