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Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

Machine Learning · Statistics 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

The recent past has seen an increasing interest in Heterogeneous Graph Neural Networks (HGNNs), since many real-world graphs are heterogeneous in nature, from citation graphs to email graphs. However, existing methods ignore a tree…

Machine Learning · Computer Science 2025-04-15 Mingyu Guan , Jack W. Stokes , Qinlong Luo , Fuchen Liu , Purvanshi Mehta , Elnaz Nouri , Taesoo Kim

The graph homomorphism problem (HOM) asks whether the vertices of a given $n$-vertex graph $G$ can be mapped to the vertices of a given $h$-vertex graph $H$ such that each edge of $G$ is mapped to an edge of $H$. The problem generalizes the…

Data Structures and Algorithms · Computer Science 2015-02-20 Fedor V. Fomin , Alexander Golovnev , Alexander S. Kulikov , Ivan Mihajlin

Graph Neural Networks (GNNs) have received increasing attention for representation learning in various machine learning tasks. However, most existing GNNs applying neighborhood aggregation usually perform poorly on the graph with…

Machine Learning · Computer Science 2024-10-29 Wei Zhuo , Guang Tan

Graph neural networks (GNNs) have been proved powerful in graph-oriented tasks. However, many real-world graphs are heterophilous, challenging the homophily assumption of classical GNNs. To solve the universality problem, many studies…

Machine Learning · Computer Science 2023-10-09 Shengbo Gong , Jiajun Zhou , Chenxuan Xie , Qi Xuan

The graph isomorphism problem is a main problem which has numerous applications in different fields. Thus, finding an efficient and easy to implement method to discriminate non-isomorphic graphs is valuable. In this paper, a new method is…

Combinatorics · Mathematics 2016-11-08 Ameneh Farhadian

Graph neural networks (GNNs) and message passing neural networks (MPNNs) have been proven to be expressive for subgraph structures in many applications. Some applications in heterogeneous graphs require explicit edge modeling, such as…

Machine Learning · Computer Science 2021-12-17 Xin Liu , Yangqiu Song

For scalable autonomous driving, a robust map-based localization system, independent of GPS, is fundamental. To achieve such map-based localization, online high-definition (HD) map construction plays a significant role in accurate…

Computer Vision and Pattern Recognition · Computer Science 2024-12-25 Juyeb Shin , Hyeonjun Jeong , Francois Rameau , Dongsuk Kum

The pre-training and fine-tuning methods have gained widespread attention in the field of heterogeneous graph neural networks due to their ability to leverage large amounts of unlabeled data during the pre-training phase, allowing the model…

Machine Learning · Computer Science 2025-07-11 Pengfei Jiao , Jialong Ni , Di Jin , Xuan Guo , Huan Liu , Hongjiang Chen , Yanxian Bi

Graph Neural Networks (GNNs) exhibit excellent performance when graphs have strong homophily property, i.e. connected nodes have the same labels. However, they perform poorly on heterophilic graphs. Several approaches address the issue of…

Machine Learning · Computer Science 2021-07-29 Vijay Lingam , Rahul Ragesh , Arun Iyer , Sundararajan Sellamanickam

Joint network topology inference represents a canonical problem of jointly learning multiple graph Laplacian matrices from heterogeneous graph signals. In such a problem, a widely employed assumption is that of a simple common component…

Statistics Theory · Mathematics 2021-07-09 Yanli Yuan , De Wen Soh , Xiao Yang , Kun Guo , Tony Q. S. Quek

The isomorphism problem is a fundamental problem in network analysis, which involves capturing both low-order and high-order structural information. In terms of extracting low-order structural information, graph isomorphism algorithms…

Data Structures and Algorithms · Computer Science 2023-07-28 Yifan Feng , Jiashu Han , Shihui Ying , Yue Gao

The success of graph neural networks (GNNs) provokes the question about explainability: ``Which fraction of the input graph is the most determinant of the prediction?'' Particularly, parametric explainers prevail in existing approaches…

Machine Learning · Computer Science 2023-11-02 Fang Wu , Siyuan Li , Xurui Jin , Yinghui Jiang , Dragomir Radev , Zhangming Niu , Stan Z. Li

Subgraph Isomorphism uses a small graph as a pattern to identify within a larger graph a set of vertices that have matching edges. This paper addresses a logic program written in Prolog for a specific relatively complex graph pattern for…

Logic in Computer Science · Computer Science 2026-01-14 Claire Y. Yin , Peter M. Kogge

Social networks are considered to be heterogeneous graph neural networks (HGNNs) with deep learning technological advances. HGNNs, compared to homogeneous data, absorb various aspects of information about individuals in the training stage.…

Machine Learning · Computer Science 2022-10-11 Yuecen Wei , Xingcheng Fu , Qingyun Sun , Hao Peng , Jia Wu , Jinyan Wang , Xianxian Li

Graph neural networks (GNNs) face significant challenges with class imbalance, leading to biased inference results. To address this issue in heterogeneous graphs, we propose a novel framework that combines Graph Neural Network (GNN) and…

Machine Learning · Computer Science 2024-11-26 Hung-Chun Hsu , Bo-Jun Wu , Ming-Yi Hong , Che Lin , Chih-Yu Wang

Real-world graph data environments intrinsically exist noise (e.g., link and structure errors) that inevitably disturb the effectiveness of graph representation and downstream learning tasks. For homogeneous graphs, the latest works use…

Machine Learning · Computer Science 2024-12-25 Xiong Zhang , Cheng Xie , Haoran Duan , Beibei Yu

Graph Anomaly Detection (GAD) plays a vital role in various data mining applications such as e-commerce fraud prevention and malicious user detection. Recently, Graph Neural Network (GNN) based approach has demonstrated great effectiveness…

Machine Learning · Computer Science 2025-03-18 Hang Ni , Jindong Han , Nengjun Zhu , Hao Liu

A graph homomorphism is a vertex map which carries edges from a source graph to edges in a target graph. We study the approximability properties of the Weighted Maximum H-Colourable Subgraph problem (MAX H-COL). The instances of this…

Computational Complexity · Computer Science 2008-02-05 Tommy Färnqvist , Peter Jonsson , Johan Thapper

Heterogeneous graph neural networks (HGNNs) have powerful capability to embed rich structural and semantic information of a heterogeneous graph into node representations. Existing HGNNs inherit many mechanisms from graph neural networks…

Machine Learning · Computer Science 2023-09-04 Xiaocheng Yang , Mingyu Yan , Shirui Pan , Xiaochun Ye , Dongrui Fan