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This paper explores combinatorial optimization for problems of max-weight graph matching on multi-partite graphs, which arise in integrating multiple data sources. Entity resolution-the data integration problem of performing noisy joins on…

Databases · Computer Science 2014-02-04 Duo Zhang , Benjamin I. P. Rubinstein , Jim Gemmell

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

How do we determine whether two or more clothing items are compatible or visually appealing? Part of the answer lies in understanding of visual aesthetics, and is biased by personal preferences shaped by social attitudes, time, and place.…

Computer Vision and Pattern Recognition · Computer Science 2019-02-13 Guillem Cucurull , Perouz Taslakian , David Vazquez

Exact pattern matching in labeled graphs is the problem of searching paths of a graph $G=(V,E)$ that spell the same string as the pattern $P[1..m]$. This basic problem can be found at the heart of more complex operations on variation graphs…

Computational Complexity · Computer Science 2020-06-04 Massimo Equi , Roberto Grossi , Veli Mäkinen

Pairwise compatibility graphs (PCGs) with non-negative integer edge weights recently have been used to describe rare evolutionary events and scenarios with horizontal gene transfer. Here we consider the case that vertices are separated by…

Combinatorics · Mathematics 2020-05-26 Yangjing Long , Peter F. Stadler

The graph matching optimization problem is an essential component for many tasks in computer vision, such as bringing two deformable objects in correspondence. Naturally, a wide range of applicable algorithms have been proposed in the last…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Stefan Haller , Lorenz Feineis , Lisa Hutschenreiter , Florian Bernard , Carsten Rother , Dagmar Kainmüller , Paul Swoboda , Bogdan Savchynskyy

Topology identification and inference of processes evolving over graphs arise in timely applications involving brain, transportation, financial, power, as well as social and information networks. This chapter provides an overview of graph…

Signal Processing · Electrical Eng. & Systems 2025-12-12 Gonzalo Mateos , Yanning Shen , Georgios B. Giannakis , Ananthram Swami

In this paper, the problem of matching pairs of correlated random graphs with multi-valued edge attributes is considered. Graph matching problems of this nature arise in several settings of practical interest including social network…

Information Theory · Computer Science 2018-02-06 F. Shirani , S. Garg , E. Erkip

Scene graph generation (SGG) is built on top of detected objects to predict object pairwise visual relations for describing the image content abstraction. Existing works have revealed that if the links between objects are given as prior…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Yuyu Guo , Lianli Gao , Jingkuan Song , Peng Wang , Nicu Sebe , Heng Tao Shen , Xuelong Li

Hypergraphs are generalisation of graphs in which a hyperedge can connect any number of vertices. It can describe n-ary relationships and high-order information among entities compared to conventional graphs. In this paper, we study the…

Databases · Computer Science 2023-02-21 Zhengyi Yang , Wenjie Zhang , Xuemin Lin , Ying Zhang , Shunyang Li

As one of the most fundamental tasks in graph theory, subgraph matching is a crucial task in many fields, ranging from information retrieval, computer vision, biology, chemistry and natural language processing. Yet subgraph matching problem…

Machine Learning · Computer Science 2022-09-19 Zixun Lan , Limin Yu , Linglong Yuan , Zili Wu , Qiang Niu , Fei Ma

Estimating node similarity is a fundamental task in network analysis and graph-based machine learning, with applications in clustering, community detection, classification, and recommendation. We propose TopKGraphs, a method based on…

Machine Learning · Computer Science 2026-03-06 Bastian Pfeifer , Michael G. Schimek

Temporal Graph Neural Networks (TGNNs) have gained growing attention for modeling and predicting structures in temporal graphs. However, existing TGNNs primarily focus on pairwise interactions while overlooking higher-order structures that…

Machine Learning · Computer Science 2025-05-22 Jingzhe Liu , Zhigang Hua , Yan Xie , Bingheng Li , Harry Shomer , Yu Song , Kaveh Hassani , Jiliang Tang

When searching for interesting structures in graphs, it is often important to take into account not only the graph connectivity, but also the metadata available, such as node and edge labels, or temporal information. In this paper we are…

Data Structures and Algorithms · Computer Science 2020-07-09 Polina Rozenshtein , Giulia Preti , Aristides Gionis , Yannis Velegrakis

Graph similarity computation is one of the core operations in many graph-based applications, such as graph similarity search, graph database analysis, graph clustering, etc. Since computing the exact distance/similarity between two graphs…

Machine Learning · Computer Science 2021-05-18 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

Graph matching, also known as network alignment, refers to finding a bijection between the vertex sets of two given graphs so as to maximally align their edges. This fundamental computational problem arises frequently in multiple fields…

Data Structures and Algorithms · Computer Science 2021-08-10 Cheng Mao , Mark Rudelson , Konstantin Tikhomirov

Exact pattern matching in labeled graphs is the problem of searching paths of a graph $G=(V,E)$ that spell the same string as the given pattern $P[1..m]$. This basic problem can be found at the heart of more complex operations on variation…

Computational Complexity · Computer Science 2019-02-12 Massimo Equi , Roberto Grossi , Alexandru I. Tomescu , Veli Mäkinen

We propose a novel benchmarking methodology for graph neural networks (GNNs) based on the graph alignment problem, a combinatorial optimization task that generalizes graph isomorphism by aligning two unlabeled graphs to maximize overlapping…

Machine Learning · Computer Science 2025-05-20 Adrien Lagesse , Marc Lelarge

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

With the rapid development of fashion market, the customers' demands of customers for fashion recommendation are rising. In this paper, we aim to investigate a practical problem of fashion recommendation by answering the question "which…

Information Retrieval · Computer Science 2019-02-22 Zeyu Cui , Zekun Li , Shu Wu , Xiaoyu Zhang , Liang Wang