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How can we find the right graph for semi-supervised learning? In real world applications, the choice of which edges to use for computation is the first step in any graph learning process. Interestingly, there are often many types of…

Machine Learning · Computer Science 2020-07-24 Jonathan Halcrow , Alexandru Moşoi , Sam Ruth , Bryan Perozzi

The graph traversal edit distance (GTED), introduced by Ebrahimpour Boroojeny et al.~(2018), is an elegant distance measure defined as the minimum edit distance between strings reconstructed from Eulerian trails in two edge-labeled graphs.…

Discrete Mathematics · Computer Science 2023-11-10 Yutong Qiu , Yihang Shen , Carl Kingsford

The graph edit distance is used for comparing graphs in various domains. Due to its high computational complexity it is primarily approximated. Widely-used heuristics search for an optimal assignment of vertices based on the distance…

Data Structures and Algorithms · Computer Science 2023-12-08 Franka Bause , Christian Permann , Nils M. Kriege

Given a graph pair $(G^1, G^2)$, graph edit distance (GED) is defined as the minimum number of edit operations converting $G^1$ to $G^2$. GED is a fundamental operation widely used in many applications, but its exact computation is NP-hard,…

Machine Learning · Computer Science 2024-12-30 Qihao Cheng , Da Yan , Tianhao Wu , Zhongyi Huang , Qin Zhang

Graph-based Active Learning (AL) leverages the structure of graphs to efficiently prioritize label queries, reducing labeling costs and user burden in applications like health monitoring, human behavior analysis, and sensor networks. By…

Machine Learning · Computer Science 2025-06-13 Maryam Khalid , Akane Sano

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

We consider the graph similarity computation (GSC) task based on graph edit distance (GED) estimation. State-of-the-art methods treat GSC as a learning-based prediction task using Graph Neural Networks (GNNs). To capture fine-grained…

Machine Learning · Computer Science 2024-06-24 Wei Zhuo , Guang Tan

Recently, there has been a surge of interest in employing neural networks for graph generation, a fundamental statistical learning problem with critical applications like molecule design and community analysis. However, most approaches…

Machine Learning · Computer Science 2024-07-31 Yunhui Jang , Seul Lee , Sungsoo Ahn

Graph comparison is a fundamental operation in data mining and information retrieval. Due to the combinatorial nature of graphs, it is hard to balance the expressiveness of the similarity measure and its scalability. Spectral analysis…

Social and Information Networks · Computer Science 2020-03-04 Anton Tsitsulin , Marina Munkhoeva , Bryan Perozzi

Graph Neural Networks (GNNs) have proven to excel in predictive modeling tasks where the underlying data is a graph. However, as GNNs are extensively used in human-centered applications, the issue of fairness has arisen. While edge deletion…

Machine Learning · Computer Science 2022-02-17 Donald Loveland , Jiayi Pan , Aaresh Farrokh Bhathena , Yiyang Lu

Generation of graphs constrained by a specified graph edit distance from a source graph is important in applications such as cheminformatics, network anomaly synthesis, and structured data augmentation. Despite the growing demand for such…

Machine Learning · Computer Science 2026-04-08 Mamoona Ghafoor , Tatsuya Akutsu

Quantifying the similarity between two graphs is a fundamental algorithmic problem at the heart of many data analysis tasks for graph-based data. In this paper, we study the computational complexity of a family of similarity measures based…

Discrete Mathematics · Computer Science 2022-07-04 Timo Gervens , Martin Grohe

Subgraph similarity search, one of the core problems in graph search, concerns whether a target graph approximately contains a query graph. The problem is recently touched by neural methods. However, current neural methods do not consider…

Machine Learning · Computer Science 2022-10-20 Linfeng Liu , Xu Han , Dawei Zhou , Li-Ping Liu

Evaluating similarity between graphs is of major importance in several computer vision and pattern recognition problems, where graph representations are often used to model objects or interactions between elements. The choice of a distance…

Computer Vision and Pattern Recognition · Computer Science 2017-06-15 Sofia Ira Ktena , Sarah Parisot , Enzo Ferrante , Martin Rajchl , Matthew Lee , Ben Glocker , Daniel Rueckert

Retrieval-Augmented Generation (RAG) has significantly mitigated the hallucinations of Large Language Models (LLMs) by grounding the generation with external knowledge. Recent extensions of RAG to graph-based retrieval offer a promising…

Machine Learning · Computer Science 2025-09-23 Jialin Chen , Houyu Zhang , Seongjun Yun , Alejandro Mottini , Rex Ying , Xiang Song , Vassilis N. Ioannidis , Zheng Li , Qingjun Cui

We study Geometric Graph Edit Distance (GGED), a graph-editing model to compute the minimum edit distance of intersection graphs that uses moving objects as an edit operation. We first show an $O(n\log n)$-time algorithm that minimises the…

Data Structures and Algorithms · Computer Science 2025-02-19 Nicolás Honorato-Droguett , Kazuhiro Kurita , Tesshu Hanaka , Hirotaka Ono

The edit distance between two graphs is a widely used measure of similarity that evaluates the smallest number of vertex and edge deletions/insertions required to transform one graph to another. It is NP-hard to compute in general, and a…

Data Structures and Algorithms · Computer Science 2019-04-22 Utkan Onur Candogan , Venkat Chandrasekaran

The choice of good distances and similarity measures between objects is important for many machine learning methods. Therefore, many metric learning algorithms have been developed in recent years, mainly for Euclidean data in order to…

Machine Learning · Computer Science 2022-12-23 Yacouba Kaloga , Pierre Borgnat , Amaury Habrard

Recent works have shown that Large Language Models (LLMs) can facilitate the grounding of instructions for robotic task planning. Despite this progress, most existing works have primarily focused on utilizing raw images to aid LLMs in…

Robotics · Computer Science 2024-03-12 Zhe Ni , Xiaoxin Deng , Cong Tai , Xinyue Zhu , Qinghongbing Xie , Weihang Huang , Xiang Wu , Long Zeng

Program similarity is a fundamental concept, central to the solution of software engineering tasks such as software plagiarism, clone identification, code refactoring and code search. Accurate similarity estimation between programs requires…

Machine Learning · Computer Science 2020-07-31 Aravind Nair , Avijit Roy , Karl Meinke