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The graph Laplacian regularization term is usually used in semi-supervised representation learning to provide graph structure information for a model $f(X)$. However, with the recent popularity of graph neural networks (GNNs), directly…

Machine Learning · Computer Science 2020-12-22 Han Yang , Kaili Ma , James Cheng

The advent of graph convolutional network (GCN)-based multi-view learning provides a powerful framework for integrating structural information from heterogeneous views, enabling effective modeling of complex multi-view data. However,…

Machine Learning · Computer Science 2025-12-17 Huaiyuan Xiao , Fadi Dornaika , Jingjun Bi

Choosing a meaningful subset of features from high-dimensional observations in unsupervised settings can greatly enhance the accuracy of downstream analysis, such as clustering or dimensionality reduction, and provide valuable insights into…

Machine Learning · Computer Science 2024-12-23 Daniel Segal , Ofir Lindenbaum , Ariel Jaffe

Graph representation learning based on graph neural networks (GNNs) can greatly improve the performance of downstream tasks, such as node and graph classification. However, the general GNN models do not aggregate node information in a…

Machine Learning · Computer Science 2020-07-30 Fei Ding , Xiaohong Zhang , Justin Sybrandt , Ilya Safro

Graph representation learning has attracted a surge of interest recently, whose target at learning discriminant embedding for each node in the graph. Most of these representation methods focus on supervised learning and heavily depend on…

Machine Learning · Computer Science 2021-07-07 Pengpeng Shao , Tong Liu , Dawei Zhang , Jianhua Tao , Feihu Che , Guohua Yang

Graph neural networks (GNNs) have become the standard learning architectures for graphs. GNNs have been applied to numerous domains ranging from quantum chemistry, recommender systems to knowledge graphs and natural language processing. A…

Machine Learning · Computer Science 2022-02-11 Vijay Prakash Dwivedi , Anh Tuan Luu , Thomas Laurent , Yoshua Bengio , Xavier Bresson

We propose a symmetric graph convolutional autoencoder which produces a low-dimensional latent representation from a graph. In contrast to the existing graph autoencoders with asymmetric decoder parts, the proposed autoencoder has a newly…

Machine Learning · Computer Science 2019-08-08 Jiwoong Park , Minsik Lee , Hyung Jin Chang , Kyuewang Lee , Jin Young Choi

Graph neural networks (GNNs) have been applied into a variety of graph tasks. Most existing work of GNNs is based on the assumption that the given graph data is optimal, while it is inevitable that there exists missing or incomplete edges…

Machine Learning · Computer Science 2022-05-13 Qianggang Ding , Deheng Ye , Tingyang Xu , Peilin Zhao

Recent works explore learning graph representations in a self-supervised manner. In graph contrastive learning, benchmark methods apply various graph augmentation approaches. However, most of the augmentation methods are non-learnable,…

Machine Learning · Computer Science 2022-05-30 Hang Gao , Jiangmeng Li , Wenwen Qiang , Lingyu Si , Fuchun Sun , Changwen Zheng

Standard deep learning architectures used for classification generate label predictions with a projection head and softmax activation function. Although successful, these methods fail to leverage the relational information between samples…

Machine Learning · Computer Science 2025-12-10 Jason Brown , Bohan Chen , Harris Hardiman-Mostow , Jeff Calder , Andrea L. Bertozzi

Deep learning methods for graphs achieve remarkable performance on many node-level and graph-level prediction tasks. However, despite the proliferation of the methods and their success, prevailing Graph Neural Networks (GNNs) neglect…

Machine Learning · Computer Science 2020-11-10 Emily Alsentzer , Samuel G. Finlayson , Michelle M. Li , Marinka Zitnik

Graph neural networks (GNNs) are the primary tool for processing graph-structured data. Unfortunately, the most commonly used GNNs, called Message Passing Neural Networks (MPNNs) suffer from several fundamental limitations. To overcome…

Machine Learning · Computer Science 2022-11-11 Sohir Maskey , Ali Parviz , Maximilian Thiessen , Hannes Stärk , Ylli Sadikaj , Haggai Maron

Graph Neural Networks (GNNs) have emerged as a powerful tool for learning on graph-structured data, finding applications in numerous domains including social network analysis and molecular biology. Within this broad category, Asynchronous…

Machine Learning · Computer Science 2025-02-26 Nicolas Bessone

This paper studies the problem of conducting self-supervised learning for node representation learning on graphs. Most existing self-supervised learning methods assume the graph is homophilous, where linked nodes often belong to the same…

Machine Learning · Computer Science 2023-10-03 Teng Xiao , Zhengyu Chen , Zhimeng Guo , Zeyang Zhuang , Suhang Wang

We introduce a graph renormalization procedure based on the coarse-grained Laplacian, which generates reduced-complexity representations for characteristic scales identified through the spectral gap. This method retains both diffusion…

Statistical Mechanics · Physics 2024-11-20 M. Schmidt , F. Caccioli , T. Aste

The Laplacian representation recently gains increasing attention for reinforcement learning as it provides succinct and informative representation for states, by taking the eigenvectors of the Laplacian matrix of the state-transition graph…

Machine Learning · Computer Science 2021-07-13 Kaixin Wang , Kuangqi Zhou , Qixin Zhang , Jie Shao , Bryan Hooi , Jiashi Feng

Learning meaningful graphs from data plays important roles in many data mining and machine learning tasks, such as data representation and analysis, dimension reduction, data clustering, and visualization, etc. In this work, for the first…

Machine Learning · Computer Science 2020-07-30 Yongyu Wang , Zhiqiang Zhao , Zhuo Feng

We introduce an unsupervised graph embedding that trades off local node similarity and connectivity, and global structure. The embedding is based on a generalized graph Laplacian, whose eigenvectors compactly capture both network structure…

Machine Learning · Computer Science 2020-10-01 Shay Deutsch , Stefano Soatto

Graph contrastive learning has become a powerful technique for several graph mining tasks. It learns discriminative representation from different perspectives of augmented graphs. Ubiquitous in our daily life, singed-directed graphs are the…

Machine Learning · Computer Science 2023-01-13 Taewook Ko , Yoonhyuk Choi , Chong-Kwon Kim

Graph autoencoders (GAEs) are powerful tools in representation learning for graph embedding. However, the performance of GAEs is very dependent on the quality of the graph structure, i.e., of the adjacency matrix. In other words, GAEs would…

Machine Learning · Computer Science 2021-03-24 Rui Zhang , Yunxing Zhang , Xuelong Li