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Graph generation is an important area in network science. Traditional approaches focus on replicating specific properties of real-world graphs, such as small diameters or power-law degree distributions. Recent advancements in deep learning,…

Social and Information Networks · Computer Science 2025-07-04 Rodrigo Tuna , Carlos Soares

Linearized Graph Neural Networks (GNNs) have attracted great attention in recent years for graph representation learning. Compared with nonlinear Graph Neural Network (GNN) models, linearized GNNs are much more time-efficient and can…

Machine Learning · Computer Science 2023-02-02 Yulin Zhu , Xing Ai , Qimai Li , Xiao-Ming Wu , Kai Zhou

The graphical Lasso (GLASSO) is a widely used algorithm for learning high-dimensional undirected Gaussian graphical models (GGM). Given i.i.d. observations from a multivariate normal distribution, GLASSO estimates the precision matrix by…

Methodology · Statistics 2026-01-15 Ha Nguyen , Sumanta Basu

Spectral graph sparsification has emerged as a powerful tool in the analysis of large-scale networks by reducing the overall number of edges, while maintaining a comparable graph Laplacian matrix. In this paper, we present an efficient…

Data Structures and Algorithms · Computer Science 2014-12-16 David G. Anderson , Ming Gu , Christopher Melgaard

Graph neural networks (GNNs) have attracted much attention because of their excellent performance on tasks such as node classification. However, there is inadequate understanding on how and why GNNs work, especially for node representation…

Machine Learning · Computer Science 2020-06-09 Guoji Fu , Yifan Hou , Jian Zhang , Kaili Ma , Barakeel Fanseu Kamhoua , James Cheng

Signed graphs are equipped with both positive and negative edge weights, encoding pairwise correlations as well as anti-correlations in data. A balanced signed graph has no cycles of odd number of negative edges. Laplacian of a balanced…

Machine Learning · Computer Science 2024-09-13 Haruki Yokota , Hiroshi Higashi , Yuichi Tanaka , Gene Cheung

Graph Representation Learning (GRL) has become essential for modern graph data mining and learning tasks. GRL aims to capture the graph's structural information and exploit it in combination with node and edge attributes to compute…

Machine Learning · Computer Science 2021-09-08 Marinos Poiitis , Pavlos Sermpezis , Athena Vakali

Recent spectral graph sparsification research allows constructing nearly-linear-sized subgraphs that can well preserve the spectral (structural) properties of the original graph, such as the first few eigenvalues and eigenvectors of the…

Data Structures and Algorithms · Computer Science 2020-05-04 Ying Zhang , Zhiqiang Zhao , Zhuo Feng

Graph Self-Supervised Learning (GSSL) offers a powerful paradigm for learning graph representations without labeled data. However, existing work assumes clean, manually curated graphs. Recent advances in NLP enable the large-scale automatic…

Machine Learning · Computer Science 2026-05-08 Othmane Kabal , Mounira Harzallah , Fabrice Guillet , Hideaki Takeda , Ryutaro Ichise

Graph clustering discovers groups or communities within networks. Deep learning methods such as autoencoders (AE) extract effective clustering and downstream representations but cannot incorporate rich structural information. While Graph…

Machine Learning · Computer Science 2022-04-28 Gayan K. Kulatilleke , Marius Portmann , Shekhar S. Chandra

Large-scale network embedding is to learn a latent representation for each node in an unsupervised manner, which captures inherent properties and structural information of the underlying graph. In this field, many popular approaches are…

Machine Learning · Computer Science 2020-12-11 Shengzhong Zhang , Zengfeng Huang , Haicang Zhou , Ziang Zhou

Graph neural networks (GNNs) have achieved great success in many scenarios with graph-structured data. However, in many real applications, there are three issues when applying GNNs: graphs are unknown, nodes have noisy features, and graphs…

Machine Learning · Computer Science 2022-10-11 Yixiang Shan , Jielong Yang , Xing Liu , Yixing Gao , Hechang Chen , Shuzhi Sam Ge

Subgraph-based graph representation learning (SGRL) has been recently proposed to deal with some fundamental challenges encountered by canonical graph neural networks (GNNs), and has demonstrated advantages in many important data science…

Machine Learning · Computer Science 2022-08-04 Haoteng Yin , Muhan Zhang , Yanbang Wang , Jianguo Wang , Pan Li

Learning a graph with a specific structure is essential for interpretability and identification of the relationships among data. It is well known that structured graph learning from observed samples is an NP-hard combinatorial problem. In…

Machine Learning · Statistics 2019-09-26 Sandeep Kumar , Jiaxi Ying , Jos'e Vin'icius de M. Cardoso , Daniel P. Palomar

Graph learning (GL) can dynamically capture the distribution structure (graph structure) of data based on graph convolutional networks (GCN), and the learning quality of the graph structure directly influences GCN for semi-supervised…

Computer Vision and Pattern Recognition · Computer Science 2020-06-01 Guangfeng Lin , Xiaobing Kang , Kaiyang Liao , Fan Zhao , Yajun Chen

Traditionally, community detection in graphs can be solved using spectral methods or posterior inference under probabilistic graphical models. Focusing on random graph families such as the stochastic block model, recent research has unified…

Machine Learning · Statistics 2020-08-11 Zhengdao Chen , Xiang Li , Joan Bruna

In this paper, we consider the Graphical Lasso (GL), a popular optimization problem for learning the sparse representations of high-dimensional datasets, which is well-known to be computationally expensive for large-scale problems.…

Machine Learning · Statistics 2017-11-28 Salar Fattahi , Richard Y. Zhang , Somayeh Sojoudi

Electricity theft and non-technical losses (NTLs) remain critical challenges in modern smart grids, causing significant economic losses and compromising grid reliability. This study introduces the SmartGuard Energy Intelligence System…

Graph contrastive learning (GCL) aligns node representations by classifying node pairs into positives and negatives using a selection process that typically relies on establishing correspondences within two augmented graphs. The…

Machine Learning · Computer Science 2024-11-27 Maysam Behmanesh , Maks Ovsjanikov

Variable selection and dimension reduction are two commonly adopted approaches for high-dimensional data analysis, but have traditionally been treated separately. Here we propose an integrated approach, called sparse gradient learning…

Machine Learning · Statistics 2010-07-02 Gui-Bo Ye , Xiaohui Xie
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