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Graph Edit Distance (GED) is a popular similarity measurement for pairwise graphs and it also refers to the recovery of the edit path from the source graph to the target graph. Traditional A* algorithm suffers scalability issues due to its…

机器学习 · 计算机科学 2020-12-03 Runzhong Wang , Tianqi Zhang , Tianshu Yu , Junchi Yan , Xiaokang Yang

Among various distance functions for graphs, graph and subgraph edit distances (GED and SED respectively) are two of the most popular and expressive measures. Unfortunately, exact computations for both are NP-hard. To overcome this…

Graph edit distance (GED) is a powerful and flexible graph matching paradigm that can be used to address different tasks in structural pattern recognition, machine learning, and data mining. In this paper, some new binary linear programming…

数据结构与算法 · 计算机科学 2015-05-22 Julien Lerouge , Zeina Abu-Aisheh , Romain Raveaux , Pierre Héroux , Sébastien Adam

Graph distance metric learning serves as the foundation for many graph learning problems, e.g., graph clustering, graph classification and graph matching. Existing research works on graph distance metric (or graph kernels) learning fail to…

机器学习 · 计算机科学 2020-02-11 Jiawei Zhang

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…

数据结构与算法 · 计算机科学 2023-12-08 Franka Bause , Christian Permann , Nils M. Kriege

A geometric graph is a combinatorial graph, endowed with a geometry that is inherited from its embedding in a Euclidean space. Formulation of a meaningful measure of (dis-)similarity in both the combinatorial and geometric structures of two…

计算几何 · 计算机科学 2022-09-27 Sushovan Majhi , Carola Wenk

Graph Edit Distance (GED) is defined as the minimum cost transformation of one graph into another and is a widely adopted metric for measuring the dissimilarity between graphs. The major problem of GED is that its computation is NP-hard,…

机器学习 · 计算机科学 2026-02-24 Francesco Leonardi , Markus Orsi , Jean-Louis Reymond , Kaspar Riesen

Graph Edit Distance (GED) is a widely used metric for measuring similarity between two graphs. Computing the optimal GED is NP-hard, leading to the development of various neural and non-neural heuristics. While neural methods have achieved…

机器学习 · 计算机科学 2025-05-06 Samidha Verma , Arushi Goyal , Ananya Mathur , Ankit Anand , Sayan Ranu

Computing efficiently a robust measure of similarity or dissimilarity between graphs is a major challenge in Pattern Recognition. The Graph Edit Distance (GED) is a flexible measure of dissimilarity between graphs which arises in…

数据结构与算法 · 计算机科学 2015-12-24 Sébastien Bougleux , Luc Brun , Vincenzo Carletti , Pasquale Foggia , Benoit Gaüzère , Mario Vento

The computation of distance measures between nodes in graphs is inefficient and does not scale to large graphs. We explore dense vector representations as an effective way to approximate the same information: we introduce a simple yet…

计算与语言 · 计算机科学 2019-06-18 Andrey Kutuzov , Mohammad Dorgham , Oleksiy Oliynyk , Chris Biemann , Alexander Panchenko

The graph edit distance (GED) is a well-established distance measure widely used in many applications. However, existing methods for the GED computation suffer from several drawbacks including oversized search space, huge memory…

数据结构与算法 · 计算机科学 2017-10-02 Xiaoyang Chen , Hongwei Huo , Jun Huan , Jeffrey Scott Vitter

In many domains where data are represented as graphs, learning a similarity metric among graphs is considered a key problem, which can further facilitate various learning tasks, such as classification, clustering, and similarity search.…

机器学习 · 计算机科学 2020-10-06 Guixiang Ma , Nesreen K. Ahmed , Theodore L. Willke , Philip S. Yu

Graph similarity search is a common and fundamental operation in graph databases. One of the most popular graph similarity measures is the Graph Edit Distance (GED) mainly because of its broad applicability and high interpretability.…

数据库 · 计算机科学 2018-01-25 Zijian Li , Xun Jian , Xiang Lian , Lei Chen

Graph Edit Distance (GED) is a general and domain-agnostic metric to measure graph similarity, widely used in graph search or retrieving tasks. However, the exact GED computation is known to be NP-complete. For instance, the widely used A*…

机器学习 · 计算机科学 2023-11-07 Junfeng Liu , Min Zhou , Shuai Ma , Lujia Pan

The Graph Edit Distance (GED) is an important metric for measuring the similarity between two (labeled) graphs. It is defined as the minimum cost required to convert one graph into another through a series of (elementary) edit operations.…

数据库 · 计算机科学 2025-11-05 Andrea D'Ascenzo , Julian Meffert , Petra Mutzel , Fabrizio Rossi

Graph Edit Distance (GED) measures the (dis-)similarity between two given graphs, in terms of the minimum-cost edit sequence that transforms one graph to the other. However, the exact computation of GED is NP-Hard, which has recently…

机器学习 · 计算机科学 2024-11-05 Eeshaan Jain , Indradyumna Roy , Saswat Meher , Soumen Chakrabarti , Abir De

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…

计算机视觉与模式识别 · 计算机科学 2017-06-15 Sofia Ira Ktena , Sarah Parisot , Enzo Ferrante , Martin Rajchl , Matthew Lee , Ben Glocker , Daniel Rueckert

Graph embedding methods aim at finding useful graph representations by mapping nodes to a low-dimensional vector space. It is a task with important downstream applications, such as link prediction, graph reconstruction, data visualization,…

机器学习 · 计算机科学 2022-09-13 Said Kerrache , Hafida Benhidour

Graph representation learning aims to effectively encode high-dimensional sparse graph-structured data into low-dimensional dense vectors, which is a fundamental task that has been widely studied in a range of fields, including machine…

Graphs provide a powerful means for representing complex interactions between entities. Recently, deep learning approaches are emerging for representing and modeling graph-structured data, although the conventional deep learning methods…

神经与进化计算 · 计算机科学 2016-12-06 Jaekoo Lee , Hyunjae Kim , Jongsun Lee , Sungroh Yoon
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