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Many challenges from natural world can be formulated as a graph matching problem. Previous deep learning-based methods mainly consider a full two-graph matching setting. In this work, we study the more general partial matching problem with…

Computer Vision and Pattern Recognition · Computer Science 2022-12-08 Zhakshylyk Nurlanov , Frank R. Schmidt , Florian Bernard

Recent years have witnessed a flurry of research activity in graph matching, which aims at finding the correspondence of nodes across two graphs and lies at the heart of many artificial intelligence applications. However, matching…

Machine Learning · Computer Science 2021-12-21 Weijie Liu , Hui Qian , Chao Zhang , Jiahao Xie , Zebang Shen , Nenggan Zheng

Graph matching can be formalized as a combinatorial optimization problem, where there are corresponding relationships between pairs of nodes that can be represented as edges. This problem becomes challenging when there are potential…

Computer Vision and Pattern Recognition · Computer Science 2023-01-06 Dongdong Chen , Yuxing Dai , Lichi Zhang , Zhihong Zhang

Partial graph matching extends traditional graph matching by allowing some nodes to remain unmatched, enabling applications in more complex scenarios. However, this flexibility introduces additional complexity, as both the subset of nodes…

Machine Learning · Computer Science 2026-02-26 Gathika Ratnayaka , James Nichols , Qing Wang

Graph matching refers to finding node correspondence between graphs, such that the corresponding node and edge's affinity can be maximized. In addition with its NP-completeness nature, another important challenge is effective modeling of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Runzhong Wang , Junchi Yan , Xiaokang Yang

Network (or graph) embedding is the task to map the nodes of a graph to a lower dimensional vector space, such that it preserves the graph properties and facilitates the downstream network mining tasks. Real world networks often come with…

Social and Information Networks · Computer Science 2020-07-21 Sambaran Bandyopadhyay , Saley Vishal Vivek , M. N. Murty

Graph matching aims to establish correspondences between vertices of graphs such that both the node and edge attributes agree. Various learning-based methods were recently proposed for finding correspondences between image key points based…

Computer Vision and Pattern Recognition · Computer Science 2022-05-10 Zhenzhang Ye , Tarun Yenamandra , Florian Bernard , Daniel Cremers

As a fundamental problem in pattern recognition, graph matching has applications in a variety of fields, from computer vision to computational biology. In graph matching, patterns are modeled as graphs and pattern recognition amounts to…

Computer Vision and Pattern Recognition · Computer Science 2008-06-19 Tiberio S. Caetano , Julian J. McAuley , Li Cheng , Quoc V. Le , Alex J. Smola

While the celebrated graph neural networks yield effective representations for individual nodes of a graph, there has been relatively less success in extending to the task of graph similarity learning. Recent work on graph similarity…

Machine Learning · Computer Science 2021-08-20 Xiang Ling , Lingfei Wu , Saizhuo Wang , Tengfei Ma , Fangli Xu , Alex X. Liu , Chunming Wu , Shouling Ji

This paper addresses the challenging problem of retrieval and matching of graph structured objects, and makes two key contributions. First, we demonstrate how Graph Neural Networks (GNN), which have emerged as an effective model for various…

Machine Learning · Computer Science 2019-05-14 Yujia Li , Chenjie Gu , Thomas Dullien , Oriol Vinyals , Pushmeet Kohli

Data association across frames is at the core of Multiple Object Tracking (MOT) task. This problem is usually solved by a traditional graph-based optimization or directly learned via deep learning. Despite their popularity, we find some…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Jiawei He , Zehao Huang , Naiyan Wang , Zhaoxiang Zhang

Graph neural networks have been widely used for learning representations of nodes for many downstream tasks on graph data. Existing models were designed for the nodes on a single graph, which would not be able to utilize information across…

Machine Learning · Computer Science 2021-06-04 Meng Jiang

Given a pair of graphs with the same number of vertices, the inexact graph matching problem consists in finding a correspondence between the vertices of these graphs that minimizes the total number of induced edge disagreements. We study…

Machine Learning · Statistics 2020-07-06 Jesús Arroyo , Daniel L. Sussman , Carey E. Priebe , Vince Lyzinski

Graph matching involves combinatorial optimization based on edge-to-edge affinity matrix, which can be generally formulated as Lawler's Quadratic Assignment Problem (QAP). This paper presents a QAP network directly learning with the…

Machine Learning · Computer Science 2021-05-07 Runzhong Wang , Junchi Yan , Xiaokang Yang

Data association is at the core of many computer vision tasks, e.g., multiple object tracking, image matching, and point cloud registration. however, current data association solutions have some defects: they mostly ignore the intra-view…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Jiawei He , Zehao Huang , Naiyan Wang , Zhaoxiang Zhang

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 consider the problem of graph matchability in non-identically distributed networks. In a general class of edge-independent networks, we demonstrate that graph matchability can be lost with high probability when matching the networks…

Statistics Theory · Mathematics 2019-03-22 Vince Lyzinski , Daniel L. Sussman

Graph neural networks (GNNs) have emerged as a powerful model to capture critical graph patterns. Instead of treating them as black boxes in an end-to-end fashion, attempts are arising to explain the model behavior. Existing works mainly…

Machine Learning · Computer Science 2024-02-22 Yi Nian , Yurui Chang , Wei Jin , Lu Lin

Modern data analysis pipelines are becoming increasingly complex due to the presence of multi-view information sources. While graphs are effective in modeling complex relationships, in many scenarios a single graph is rarely sufficient to…

Machine Learning · Statistics 2019-04-02 Uday Shankar Shanthamallu , Jayaraman J. Thiagarajan , Huan Song , Andreas Spanias

When neural networks are employed for high-stakes decision-making, it is desirable that they provide explanations for their prediction in order for us to understand the features that have contributed to the decision. At the same time, it is…

Machine Learning · Computer Science 2022-05-10 Penny Chong , Ngai-Man Cheung , Yuval Elovici , Alexander Binder
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