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The first provably efficient algorithm for learning graph neural networks (GNNs) with one hidden layer for node information convolution is provided in this paper. Two types of GNNs are investigated, depending on whether labels are attached…

Machine Learning · Computer Science 2020-12-08 Qunwei Li , Shaofeng Zou , Wenliang Zhong

The progress in hyperbolic neural networks (HNNs) research is hindered by their absence of inductive bias mechanisms, which are essential for generalizing to new tasks and facilitating scalable learning over large datasets. In this paper,…

Machine Learning · Computer Science 2023-10-31 Nurendra Choudhary , Nikhil Rao , Chandan K. Reddy

Graph matching is a fundamental tool in computer vision and pattern recognition. In this paper, we introduce an algorithm for graph matching based on the proximal operator, referred to as differentiable proximal graph matching (DPGM).…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Haoru Tan , Chuang Wang , Xu-Yao Zhang , Cheng-Lin Liu

Given a graph dataset, how can we augment it for accurate graph classification? Graph augmentation is an essential strategy to improve the performance of graph-based tasks, and has been widely utilized for analyzing web and social graphs.…

Machine Learning · Computer Science 2022-02-22 Jaemin Yoo , Sooyeon Shim , U Kang

Recently, graph convolutional networks (GCNs) have shown great potential for the task of graph matching. It can integrate graph node feature embedding, node-wise affinity learning and matching optimization together in a unified end-to-end…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Bo Jiang , Pengfei Sun , Jin Tang , Bin Luo

We propose a fast approximate algorithm for large graph matching. A new projected fixed-point method is defined and a new doubly stochastic projection is adopted to derive the algorithm. Previous graph matching algorithms suffer from high…

Computer Vision and Pattern Recognition · Computer Science 2012-08-13 Yao Lu , Kaizhu Huang , Cheng-Lin Liu

Recently, graph neural networks have attracted great attention and achieved prominent performance in various research fields. Most of those algorithms have assumed pairwise relationships of objects of interest. However, in many real…

Machine Learning · Computer Science 2020-10-13 Song Bai , Feihu Zhang , Philip H. S. Torr

Attention mechanisms are critical to the success of large language models (LLMs), driving significant advancements in multiple fields. However, for graph-structured data, which requires emphasis on topological connections, they fall short…

Artificial Intelligence · Computer Science 2025-05-06 Zhong Guan , Likang Wu , Hongke Zhao , Ming He , Jianpin Fan

Investigating graph feature learning becomes essentially important with the emergence of graph data in many real-world applications. Several graph neural network approaches are proposed for node feature learning and they generally follow a…

Machine Learning · Computer Science 2021-01-07 Hao Yuan , Shuiwang Ji

Accurately matching local features between a pair of images is a challenging computer vision task. Previous studies typically use attention based graph neural networks (GNNs) with fully-connected graphs over keypoints within/across images…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Zizhuo Li , Jiayi Ma

Homomorphism is a key mapping technique between graphs that preserves their structure. Given a graph and a pattern, the subgraph homomorphism problem involves finding a mapping from the pattern to the graph, ensuring that adjacent vertices…

Artificial Intelligence · Computer Science 2025-12-18 Shuyang Guo , Wenjin Xie , Ping Lu , Ting Deng , Richong Zhang , Jianxin Li , Xiangping Huang , Zhongyi Liu

Subgraph matching query is a fundamental problem in graph data management and has a variety of real-world applications. Several recent works utilize deep learning (DL) techniques to process subgraph matching queries. Most of them find…

Social and Information Networks · Computer Science 2025-10-29 Bin Yang , Zhaonian Zou , Jianxiong Ye

An effective aggregation of node features into a graph-level representation via readout functions is an essential step in numerous learning tasks involving graph neural networks. Typically, readouts are simple and non-adaptive functions…

Machine Learning · Computer Science 2022-11-10 David Buterez , Jon Paul Janet , Steven J. Kiddle , Dino Oglic , Pietro Liò

Accurate traffic forecasting is vital to an intelligent transportation system. Although many deep learning models have achieved state-of-art performance for short-term traffic forecasting of up to 1 hour, long-term traffic forecasting that…

Machine Learning · Computer Science 2022-09-28 Weiheng Zhong , Tanwi Mallick , Hadi Meidani , Jane Macfarlane , Prasanna Balaprakash

Subgraph query is a critical task in graph analysis with a wide range of applications across various domains. Most existing methods rely on heuristic vertex matching orderings, which may significantly degrade enumeration performance for…

Databases · Computer Science 2025-09-30 Linglin Yang , Lei Zou , Chunshan Zhao

Tenuous subgraph finding aims to detect a subgraph with few social interactions and weak relationships among nodes. Despite significant efforts have been made on this task, they are mostly carried out in view of graph-structured data. These…

Social and Information Networks · Computer Science 2022-09-01 Heli sun , Miaomiao Sun , Liang He , Xiaolin Jia

Graph neural networks (GNNs) work well when the graph structure is provided. However, this structure may not always be available in real-world applications. One solution to this problem is to infer a task-specific latent structure and then…

Machine Learning · Computer Science 2021-11-02 Bahare Fatemi , Layla El Asri , Seyed Mehran Kazemi

We introduce Attention Graphs, a new tool for mechanistic interpretability of Graph Neural Networks (GNNs) and Graph Transformers based on the mathematical equivalence between message passing in GNNs and the self-attention mechanism in…

Machine Learning · Computer Science 2025-02-26 Batu El , Deepro Choudhury , Pietro Liò , Chaitanya K. Joshi

Graph matching is a challenging problem with very important applications in a wide range of fields, from image and video analysis to biological and biomedical problems. We propose a robust graph matching algorithm inspired in…

Optimization and Control · Mathematics 2013-11-26 Marcelo Fiori , Pablo Sprechmann , Joshua Vogelstein , Pablo Musé , Guillermo Sapiro

Graph Neural Networks (GNNs) have emerged as powerful tools for learning over graph-structured data, yet recent studies have shown that their performance gains are beginning to plateau. In many cases, well-established models such as GCN and…

Machine Learning · Computer Science 2026-02-13 Mohit Meena , Yash Punjabi , Abhishek A , Vishal Sharma , Mahesh Chandran