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Related papers: Adaptively Transforming Graph Matching

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Graph matching is an important and persistent problem in computer vision and pattern recognition for finding node-to-node correspondence between graph-structured data. However, as widely used, graph matching that incorporates pairwise…

Computer Vision and Pattern Recognition · Computer Science 2019-01-17 Fu-Dong Wang , Gui-Song Xia , Nan Xue , Yipeng Zhang , Marcello Pelillo

In this paper, we introduce a graph matching method that can account for constraints of arbitrary order, with arbitrary potential functions. Unlike previous decomposition approaches that rely on the graph structures, we introduce a…

Computer Vision and Pattern Recognition · Computer Science 2018-02-26 D. Khuê Lê-Huu , Nikos Paragios

Recently, deep learning based methods have demonstrated promising results on the graph matching problem, by relying on the descriptive capability of deep features extracted on graph nodes. However, one main limitation with existing deep…

Computer Vision and Pattern Recognition · Computer Science 2021-03-16 Quankai Gao , Fudong Wang , Nan Xue , Jin-Gang Yu , Gui-Song Xia

Solving point-wise feature correspondence in visual data is a fundamental problem in computer vision. A powerful model that addresses this challenge is to formulate it as graph matching, which entails solving a Quadratic Assignment Problem…

Computer Vision and Pattern Recognition · Computer Science 2024-10-23 Yongqing Liang , Huijun Han , Xin Li

Most previous learning-based graph matching algorithms solve the \textit{quadratic assignment problem} (QAP) by dropping one or more of the matching constraints and adopting a relaxed assignment solver to obtain sub-optimal correspondences.…

Computer Vision and Pattern Recognition · Computer Science 2022-01-06 He Liu , Tao Wang , Yidong Li , Congyan Lang , Songhe Feng , Haibin Ling

Graph matching plays a central role in such fields as computer vision, pattern recognition, and bioinformatics. Graph matching problems can be cast as two types of quadratic assignment problems (QAPs): Koopmans-Beckmann's QAP or Lawler's…

Machine Learning · Computer Science 2019-12-02 Zhen Zhang , Yijian Xiang , Lingfei Wu , Bing Xue , Arye Nehorai

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

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

We propose a convex-concave programming approach for the labeled weighted graph matching problem. The convex-concave programming formulation is obtained by rewriting the weighted graph matching problem as a least-square problem on the set…

Computer Vision and Pattern Recognition · Computer Science 2008-10-27 Mikhail Zaslavskiy , Francis Bach , Jean-Philippe Vert

Graph alignment refers to the problem of finding a bijective mapping across vertices of two graphs such that, if two nodes are connected in the first graph, their images are connected in the second graph. This problem arises in many fields…

Data Structures and Algorithms · Computer Science 2017-09-06 Soheil Feizi , Gerald Quon , Mariana Recamonde-Mendoza , Muriel Medard , Manolis Kellis , Ali Jadbabaie

Matching one set of objects to another is a ubiquitous task in machine learning and computer vision that often reduces to some form of the quadratic assignment problem (QAP). The QAP is known to be notoriously hard, both in theory and in…

Machine Learning · Computer Science 2012-07-03 Deepti Pachauri , Maxwell Collins , Vikas SIngh , Risi Kondor

Graph pattern matching algorithms to handle million-scale dynamic graphs are widely used in many applications such as social network analytics and suspicious transaction detections from financial networks. On the other hand, the computation…

Databases · Computer Science 2019-07-10 Hiroki Kanezashi , Toyotaro Suzumura , Dario Garcia-Gasulla , Min-hwan Oh , Satoshi Matsuoka

Multigraph matching is a recent variant of the graph matching problem. In this framework, the optimization procedure considers several graphs and enforces the consistency of the matches along the graphs. This constraint can be formalized as…

Machine Learning · Computer Science 2022-10-12 François-Xavier Dupé , Rohit Yadav , Guillaume Auzias , S. Takerkart

Graph matching aims at finding the vertex correspondence between two unlabeled graphs that maximizes the total edge weight correlation. This amounts to solving a computationally intractable quadratic assignment problem. In this paper we…

Machine Learning · Statistics 2019-07-23 Zhou Fan , Cheng Mao , Yihong Wu , Jiaming Xu

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

Graph matching is a commonly used technique in computer vision and pattern recognition. Recent data-driven approaches have improved the graph matching accuracy remarkably, whereas some traditional algorithm-based methods are more robust to…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Haoru Tan , Chuang Wang , Sitong Wu , Xu-Yao Zhang , Fei Yin , Cheng-Lin Liu

Graph representation learning (a.k.a. network embedding) is a significant topic of network analysis, due to its effectiveness to support various graph inference tasks. In this paper, we study the representation learning with multiple…

Social and Information Networks · Computer Science 2023-05-17 Meng Qin

Finding vertex-to-vertex correspondences in real-world graphs is a challenging task with applications in a wide variety of domains. Structural matching based on graphs connectivities has attracted considerable attention, while the…

Data Structures and Algorithms · Computer Science 2024-10-01 Raphaël Candelier

Attributed graph clustering is challenging as it requires joint modelling of graph structures and node attributes. Recent progress on graph convolutional networks has proved that graph convolution is effective in combining structural and…

Machine Learning · Computer Science 2019-06-05 Xiaotong Zhang , Han Liu , Qimai Li , Xiao-Ming Wu

Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal…

Optimization and Control · Mathematics 2025-07-08 Yacine Mokhtari , Emmanuel Moulay , Patrick Coirault , Jérôme Le Ny
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