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Network node similarity measure has been paid particular attention in the field of statistical physics. In this paper, we utilize the concept of information and information loss to measure the node similarity. The whole model is based on…

Physics and Society · Physics 2014-03-19 Yongli Li , Peng Luo , Chong Wu

Branch-and-bound approaches in integer programming require ordering portions of the space to explore next, a problem known as node comparison. We propose a new siamese graph neural network model to tackle this problem, where the nodes are…

Machine Learning · Computer Science 2023-06-27 Abdel Ghani Labassi , Didier Chételat , Andrea Lodi

The widespread relevance of complex networks is a valuable tool in the analysis of a broad range of systems. There is a demand for tools which enable the extraction of meaningful information and allow the comparison between different…

Physics and Society · Physics 2011-03-30 Kathryn Cooper , Mauricio Barahona

Learning a similarity metric has gained much attention recently, where the goal is to learn a function that maps input patterns to a target space while preserving the semantic distance in the input space. While most related work focused on…

Computer Vision and Pattern Recognition · Computer Science 2019-05-03 Guixiang Ma , Nesreen K. Ahmed , Ted Willke , Dipanjan Sengupta , Michael W. Cole , Nicholas B. Turk-Browne , Philip S. Yu

One of the major challenges in applications related to social networks, computational biology, collaboration networks etc., is to efficiently search for similar patterns in their underlying graphs. These graphs are typically noisy and…

Social and Information Networks · Computer Science 2015-12-17 Kanigalpula Samanvi , Naveen Sivadasan

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

A fibration of graphs is an homomorphism that is a local isomorphism of in-neighbourhoods, much in the same way a covering projection is a local isomorphism of neighbourhoods. Recently, it has been shown that graph fibrations are useful…

Quantitative Methods · Quantitative Biology 2022-11-23 Paolo Boldi , Ian Leifer , Hernán A. Makse

We introduce GSimCNN (Graph Similarity Computation via Convolutional Neural Networks) for predicting the similarity score between two graphs. As the core operation of graph similarity search, pairwise graph similarity computation is a…

Machine Learning · Computer Science 2018-11-15 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

Measuring similarity between complex objects is a fundamental task in many scientific fields. When objects are represented as graphs, graph similarity/distance measures offer a powerful framework for quantifying structural resemblance.…

Combinatorics · Mathematics 2025-09-30 Matthias Dehmer , Izudin Redžepović , Niko Tratnik , Petra Žigert Pleteršek

Graph-level anomaly detection aims to identify abnormal graphs that exhibit deviant structures and node attributes compared to the majority in a graph set. One primary challenge is to learn normal patterns manifested in both fine-grained…

Machine Learning · Computer Science 2023-07-04 Chaoxi Niu , Guansong Pang , Ling Chen

A suitable similarity index for comparing learnt neural networks plays an important role in understanding the behaviour of the highly-nonlinear functions, and can provide insights on further theoretical analysis and empirical studies. We…

Machine Learning · Computer Science 2020-03-26 Shuai Tang , Wesley J. Maddox , Charlie Dickens , Tom Diethe , Andreas Damianou

The challenge of estimating similarity between sets has been a significant concern in data science, finding diverse applications across various domains. However, previous approaches, such as MinHash, have predominantly centered around…

Data Structures and Algorithms · Computer Science 2024-05-31 Fenghao Dong , Yang He , Yutong Liang , Zirui Liu , Yuhan Wu , Peiqing Chen , Tong Yang

Node classification has gained significant importance in graph deep learning with real-world applications such as recommendation systems, drug discovery, and citation networks. Graph Convolutional Networks and Graph Transformers have…

Social and Information Networks · Computer Science 2025-04-04 Aman Singh , Shahid Shafi Dar , Ranveer Singh , Nagendra Kumar

Analogous to biological sequence comparison, comparing cellular networks is an important problem that could provide insight into biological understanding and therapeutics. For technical reasons, comparing large networks is computationally…

Molecular Networks · Quantitative Biology 2009-01-30 Natasa Przulj

Fully-automatic execution is the ultimate goal for many Computer Vision applications. However, this objective is not always realistic in tasks associated with high failure costs, such as medical applications. For these tasks, semi-automatic…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Jing Yu Koh , Duc Thanh Nguyen , Quang-Trung Truong , Sai-Kit Yeung , Alexander Binder

Node role explainability in complex networks is very difficult, yet is crucial in different application domains such as social science, neurosciences or computer science. Many efforts have been made on the quantification of hubs revealing…

Neurons and Cognition · Quantitative Biology 2023-02-01 Lucrezia Carboni , Michel Dojat , Sophie Achard

Vertex similarity is a major problem in network science with a wide range of applications. In this work we provide novel perspectives on finding (dis)similar vertices within a network and across two networks with the same number of vertices…

Social and Information Networks · Computer Science 2013-05-28 Charalampos E. Tsourakakis

The ability to compute similarity scores between graphs based on metrics such as Graph Edit Distance (GED) is important in many real-world applications. Computing exact GED values is typically an NP-hard problem and traditional algorithms…

Machine Learning · Computer Science 2022-08-18 Haoyan Xu , Runjian Chen , Yueyang Wang , Ziheng Duan , Jie Feng

-Background. Network neuroscience examines the brain as a complex system represented by a network (or connectome), providing deeper insights into the brain morphology and function, allowing the identification of atypical brain connectivity…

Neurons and Cognition · Quantitative Biology 2020-09-01 Mert Lostar , Islem Rekik

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