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Graph learning from data represents a canonical problem that has received substantial attention in the literature. However, insufficient work has been done in incorporating prior structural knowledge onto the learning of underlying…

Machine Learning · Statistics 2019-04-23 Sandeep Kumar , Jiaxi Ying , José Vinícius de M. Cardoso , Daniel Palomar

A hypergraph spectral sparsifier of a hypergraph $G$ is a weighted subgraph $H$ that approximates the Laplacian of $G$ to a specified precision. Recent work has shown that similar to ordinary graphs, there exist $\widetilde{O}(n)$-size…

Data Structures and Algorithms · Computer Science 2025-02-07 Sanjeev Khanna , Huan Li , Aaron Putterman

This paper presents a general graph representation learning framework called DeepGL for learning deep node and edge representations from large (attributed) graphs. In particular, DeepGL begins by deriving a set of base features (e.g.,…

Machine Learning · Statistics 2017-10-17 Ryan A. Rossi , Rong Zhou , Nesreen K. Ahmed

Graph Neural Networks (GNNs) and Graph Transformers (GTs) are now a fundamental paradigm for graph learning, combining the representation-learning capabilities of deep models with the sample efficiency induced by their inductive biases.…

Machine Learning · Computer Science 2026-05-19 Stefano Carotti , Marco Pacini , Alessio Gravina , Davide Bacciu , Bruno Lepri , Sebastiano Bontorin

Machine learning methods on graphs have proven useful in many applications due to their ability to handle generally structured data. The framework of Gaussian Markov Random Fields (GMRFs) provides a principled way to define Gaussian models…

Machine Learning · Statistics 2022-06-13 Joel Oskarsson , Per Sidén , Fredrik Lindsten

Many scientific datasets are of high dimension, and the analysis usually requires visual manipulation by retaining the most important structures of data. Principal curve is a widely used approach for this purpose. However, many existing…

Artificial Intelligence · Computer Science 2016-01-19 Qi Mao , Li Wang , Ivor W. Tsang , Yijun Sun

Graph Neural Networks (GNNs) have become powerful tools for learning from graph-structured data, finding applications across diverse domains. However, as graph sizes and connectivity increase, standard GNN training methods face significant…

Machine Learning · Computer Science 2025-12-01 Eshed Gal , Moshe Eliasof , Carola-Bibiane Schönlieb , Ivan I. Kyrchei , Eldad Haber , Eran Treister

Over the past few years, graph representation learning (GRL) has been a powerful strategy for analyzing graph-structured data. Recently, GRL methods have shown promising results by adopting self-supervised learning methods developed for…

Machine Learning · Computer Science 2022-09-05 Namkyeong Lee , Dongmin Hyun , Junseok Lee , Chanyoung Park

Graph-based methods have been demonstrated as one of the most effective approaches for semi-supervised learning, as they can exploit the connectivity patterns between labeled and unlabeled data samples to improve learning performance.…

Machine Learning · Computer Science 2019-07-01 Qimai Li , Xiao-Ming Wu , Han Liu , Xiaotong Zhang , Zhichao Guan

Network sparsification methods play an important role in modern network analysis when fast estimation of computationally expensive properties (such as the diameter, centrality indices, and paths) is required. We propose a method of network…

Social and Information Networks · Computer Science 2016-01-22 Emmanuel John , Ilya Safro

Scalability of graph neural networks remains one of the major challenges in graph machine learning. Since the representation of a node is computed by recursively aggregating and transforming representation vectors of its neighboring nodes…

Machine Learning · Computer Science 2021-06-10 Zengfeng Huang , Shengzhong Zhang , Chong Xi , Tang Liu , Min Zhou

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

Generalizable, transferrable, and robust representation learning on graph-structured data remains a challenge for current graph neural networks (GNNs). Unlike what has been developed for convolutional neural networks (CNNs) for image data,…

Machine Learning · Computer Science 2021-04-06 Yuning You , Tianlong Chen , Yongduo Sui , Ting Chen , Zhangyang Wang , Yang Shen

Graph Self-Supervised Learning (GSSL) has emerged as a powerful paradigm for generating high-quality representations for graph-structured data. While multi-scale graph contrastive learning has received increasing attention, many existing…

Machine Learning · Computer Science 2026-05-14 Mohamed Mahmoud Amar , Nairouz Mrabah , Mohamed Bouguessa , Abdoulaye Baniré Diallo

Applying machine learning techniques to graph drawing has become an emergent area of research in visualization. In this paper, we interpret graph drawing as a multi-agent reinforcement learning (MARL) problem. We first demonstrate that a…

Machine Learning · Computer Science 2020-11-03 Ilkin Safarli , Youjia Zhou , Bei Wang

Graph-structured data, prevalent in domains ranging from social networks to biochemical analysis, serve as the foundation for diverse real-world systems. While graph neural networks demonstrate proficiency in modeling this type of data,…

Machine Learning · Computer Science 2024-06-21 Wei Ju , Siyu Yi , Yifan Wang , Qingqing Long , Junyu Luo , Zhiping Xiao , Ming Zhang

Effectively scaling up deep reinforcement learning models has proven notoriously difficult due to network pathologies during training, motivating various targeted interventions such as periodic reset and architectural advances such as layer…

Machine Learning · Computer Science 2025-06-23 Guozheng Ma , Lu Li , Zilin Wang , Li Shen , Pierre-Luc Bacon , Dacheng Tao

Graph neural networks (GNNs) have shown advantages in graph-based analysis tasks. However, most existing methods have the homogeneity assumption and show poor performance on heterophilic graphs, where the linked nodes have dissimilar…

Machine Learning · Computer Science 2024-04-16 Tianhao Peng , Wenjun Wu , Haitao Yuan , Zhifeng Bao , Zhao Pengrui , Xin Yu , Xuetao Lin , Yu Liang , Yanjun Pu

Graph sparsification aims to reduce the number of edges of a network while maintaining its accuracy for given tasks. In this study, we propose a novel method called GSGAN, which is able to sparsify networks for community detection tasks.…

Social and Information Networks · Computer Science 2020-09-25 Hang-Yang Wu , Yi-Ling Chen

Spectral graph sparsification aims to find ultra-sparse subgraphs which can preserve spectral properties of original graphs. In this paper, a new spectral criticality metric based on trace reduction is first introduced for identifying…

Data Structures and Algorithms · Computer Science 2022-06-14 Zhiqiang Liu , Wenjian Yu