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Graph Contrastive Learning (GCL), learning the node representations by augmenting graphs, has attracted considerable attentions. Despite the proliferation of various graph augmentation strategies, some fundamental questions still remain…

Machine Learning · Computer Science 2022-10-06 Nian Liu , Xiao Wang , Deyu Bo , Chuan Shi , Jian Pei

Graph Contrastive Learning (GCL) has recently emerged as a promising graph self-supervised learning framework for learning discriminative node representations without labels. The widely adopted objective function of GCL benefits from two…

Machine Learning · Computer Science 2024-11-05 Yunhui Liu , Tieke He , Tao Zheng , Jianhua Zhao

Graph Structure Learning (GSL) has demonstrated considerable potential in the analysis of graph-unknown non-Euclidean data across a wide range of domains. However, constructing an end-to-end graph structure learning model poses a challenge…

Machine Learning · Computer Science 2023-12-18 Xiaolong Fan , Maoguo Gong , Yue Wu , Zedong Tang , Jieyi Liu

Graph contrastive learning (GCL) has become a powerful tool for learning graph data, but its scalability remains a significant challenge. In this work, we propose a simple yet effective training framework called Structural Compression…

Machine Learning · Computer Science 2024-05-10 Shengzhong Zhang , Wenjie Yang , Xinyuan Cao , Hongwei Zhang , Zengfeng Huang

Cross-graph Relational Learning (CGRL) refers to the problem of predicting the strengths or labels of multi-relational tuples of heterogeneous object types, through the joint inference over multiple graphs which specify the internal…

Machine Learning · Computer Science 2016-05-09 Hanxiao Liu , Yiming Yang

We propose Graph Contrastive Learning (GraphCL), a general framework for learning node representations in a self supervised manner. GraphCL learns node embeddings by maximizing the similarity between the representations of two randomly…

Machine Learning · Computer Science 2020-07-17 Hakim Hafidi , Mounir Ghogho , Philippe Ciblat , Ananthram Swami

Graph Contrastive Learning (GCL) has shown superior performance in representation learning in graph-structured data. Despite their success, most existing GCL methods rely on prefabricated graph augmentation and homophily assumptions. Thus,…

Machine Learning · Computer Science 2024-02-27 Teng Xiao , Huaisheng Zhu , Zhengyu Chen , Suhang Wang

Many modern datasets exhibit dependencies among observations as well as variables. A decade ago, Kalaitzis et. al. (2013) proposed the Bigraphical Lasso, an estimator for precision matrices of matrix-normals based on the Cartesian product…

Statistics Theory · Mathematics 2025-12-23 Shuheng Zhou , Kristjan Greenewald

Graph sampling with noise is a fundamental problem in graph signal processing (GSP). Previous works assume an unbiased least square (LS) signal reconstruction scheme and select samples greedily via expensive extreme eigenvector computation.…

Signal Processing · Electrical Eng. & Systems 2019-02-19 Yuanchao Bai , Gene Cheung , Fen Wang , Xianming Liu , Wen Gao

It is known that the Thresholded Lasso (TL), SCAD or MCP correct intrinsic estimation bias of the Lasso. In this paper we propose an alternative method of improving the Lasso for predictive models with general convex loss functions which…

Statistics Theory · Mathematics 2021-01-26 Piotr Pokarowski , Wojciech Rejchel , Agnieszka Soltys , Michal Frej , Jan Mielniczuk

As we aim at alleviating the curse of high-dimensionality, subspace learning is becoming more popular. Existing approaches use either information about global or local structure of the data, and few studies simultaneously focus on global…

Machine Learning · Computer Science 2015-10-20 Nan Zhou , Yangyang Xu , Hong Cheng , Jun Fang , Witold Pedrycz

We study the estimation of the latent variable Gaussian graphical model (LVGGM), where the precision matrix is the superposition of a sparse matrix and a low-rank matrix. In order to speed up the estimation of the sparse plus low-rank…

Machine Learning · Statistics 2017-03-01 Pan Xu , Jian Ma , Quanquan Gu

Predictive systems increasingly span heterogeneous modalities such as graphs, language, and tabular records, but sparsity and efficiency remain modality-specific (graph edge or neighborhood sparsification, Transformer head or layer pruning,…

Machine Learning · Computer Science 2026-03-31 Filippo Cenacchi

Graph contrastive learning (GCL), as a popular approach to graph self-supervised learning, has recently achieved a non-negligible effect. To achieve superior performance, the majority of existing GCL methods elaborate on graph data…

Machine Learning · Computer Science 2022-05-03 Yuansheng Wang , Wangbin Sun , Kun Xu , Zulun Zhu , Liang Chen , Zibin Zheng

In recent years, graph neural networks (GNNs) have emerged as a successful tool in a variety of graph-related applications. However, the performance of GNNs can be deteriorated when noisy connections occur in the original graph structures;…

Machine Learning · Computer Science 2022-01-19 Yixin Liu , Yu Zheng , Daokun Zhang , Hongxu Chen , Hao Peng , Shirui Pan

Gaussian graphical models are widely utilized to infer and visualize networks of dependencies between continuous variables. However, inferring the graph is difficult when the sample size is small compared to the number of variables. To…

Statistics Theory · Mathematics 2016-09-30 Emilie Devijver , Mélina Gallopin

We study the problem of estimating from data, a sparse approximation to the inverse covariance matrix. Estimating a sparsity constrained inverse covariance matrix is a key component in Gaussian graphical model learning, but one that is…

Machine Learning · Statistics 2011-06-28 Suvrit Sra , Dongmin Kim

Graph embedding methods transform high-dimensional and complex graph contents into low-dimensional representations. They are useful for a wide range of graph analysis tasks including link prediction, node classification, recommendation and…

Machine Learning · Computer Science 2019-12-03 Bhagya Hettige , Yuan-Fang Li , Weiqing Wang , Wray Buntine

Graph Laplacian learning, also known as network topology inference, is a problem of great interest to multiple communities. In Gaussian graphical models (GM), graph learning amounts to endowing covariance selection with the Laplacian…

Machine Learning · Computer Science 2024-02-14 Changhao Shi , Gal Mishne

Graph signal processing (GSP) provides a powerful framework for analyzing signals arising in a variety of domains. In many applications of GSP, multiple network structures are available, each of which captures different aspects of the same…

Machine Learning · Statistics 2021-11-03 Michael Weylandt , George Michailidis , T. Mitchell Roddenberry