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Edit-distance-based string similarity search has many applications such as spell correction, data de-duplication, and sequence alignment. However, computing edit distance is known to have high complexity, which makes string similarity…

Databases · Computer Science 2020-05-25 Xinyan Dai , Xiao Yan , Kaiwen Zhou , Yuxuan Wang , Han Yang , James Cheng

In this article, we revisit and expand our prior work on graph similarity. As with our earlier work, we focus on a view of similarity which does not require node correspondence between graphs under comparison. Our work is suited to the…

Discrete Mathematics · Computer Science 2025-12-10 Pierre Miasnikof , Alexander Y. Shetopaloff

Graph similarity learning (GSL), also referred to as graph matching in many scenarios, is a fundamental problem in computer vision, pattern recognition, and graph learning. However, previous GSL methods assume that graphs are homogeneous…

Machine Learning · Computer Science 2025-03-13 Shilong Sang , Ke-Jia Chen , Zheng liu

Many applications in pattern recognition represent patterns as a geometric graph. The geometric graph distance (GGD) has recently been studied as a meaningful measure of similarity between two geometric graphs. Since computing the GGD is…

Computational Geometry · Computer Science 2023-06-12 Sushovan Majhi

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…

Data Structures and Algorithms · Computer Science 2017-10-02 Xiaoyang Chen , Hongwei Huo , Jun Huan , Jeffrey Scott Vitter

Graph Retrieval has witnessed continued interest and progress in the past few years. In thisreport, we focus on neural network based approaches for Graph matching and retrieving similargraphs from a corpus of graphs. We explore methods…

Information Retrieval · Computer Science 2022-04-25 Chitrank Gupta , Yash Jain

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…

Machine Learning · Computer Science 2024-11-05 Eeshaan Jain , Indradyumna Roy , Saswat Meher , Soumen Chakrabarti , Abir De

Conventional image retrieval techniques for Structure-from-Motion (SfM) suffer from the limit of effectively recognizing repetitive patterns and cannot guarantee to create just enough match pairs with high precision and high recall. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Shen Yan , Yang Pen , Shiming Lai , Yu Liu , Maojun Zhang

There is a growing interest in designing Graph Neural Networks (GNNs) for seeded graph matching, which aims to match two unlabeled graphs using only topological information and a small set of seed nodes. However, most previous GNNs for this…

Machine Learning · Computer Science 2023-07-11 Liren Yu , Jiaming Xu , Xiaojun Lin

Floor plans depict building layouts and are often represented as graphs to capture the underlying spatial relationships. Comparison of these graphs is critical for applications like search, clustering, and data visualization. The most…

Computer Vision and Pattern Recognition · Computer Science 2025-09-05 Casper van Engelenburg , Jan van Gemert , Seyran Khademi

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*…

Machine Learning · Computer Science 2023-11-07 Junfeng Liu , Min Zhou , Shuai Ma , Lujia Pan

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…

Machine Learning · Computer Science 2023-04-25 Rishabh Ranjan , Siddharth Grover , Sourav Medya , Venkatesan Chakaravarthy , Yogish Sabharwal , Sayan Ranu

Graph convolutional neural networks (GCNN) have been successfully applied to many different graph based learning tasks including node and graph classification, matrix completion, and learning of node embeddings. Despite their impressive…

Machine Learning · Computer Science 2019-10-29 Soumyasundar Pal , Florence Regol , Mark Coates

Graph similarity is critical in graph-related tasks such as graph retrieval, where metrics like maximum common subgraph (MCS) and graph edit distance (GED) are commonly used. However, exact computations of these metrics are known to be…

Machine Learning · Computer Science 2025-10-02 Zhouyang Liu , Yixin Chen , Ning Liu , Jiezhong He , Dongsheng Li

Node similarity is a fundamental problem in graph analytics. However, node similarity between nodes in different graphs (inter-graph nodes) has not received a lot of attention yet. The inter-graph node similarity is important in learning a…

Databases · Computer Science 2016-02-17 Haohan Zhu , Xianrui Meng , George Kollios

The task of inferring the missing links in a graph based on its current structure is referred to as link prediction. Link prediction methods that are based on pairwise node similarity are well-established approaches in the literature. They…

Social and Information Networks · Computer Science 2020-08-21 Md Kamrul Islam , Sabeur Aridhi , Malika Smail-Tabbone

Cross-modal information retrieval aims to find heterogeneous data of various modalities from a given query of one modality. The main challenge is to map different modalities into a common semantic space, in which distance between concepts…

Information Retrieval · Computer Science 2018-02-14 Jing Yu , Yuhang Lu , Zengchang Qin , Yanbing Liu , Jianlong Tan , Li Guo , Weifeng Zhang

Graph Convolutional Networks (GCNs) are powerful for processing graph-structured data and have achieved state-of-the-art performance in several tasks such as node classification, link prediction, and graph classification. However, it is…

Machine Learning · Computer Science 2021-10-19 Langzhang Liang , Cuiyun Gao , Shiyi Chen , Shishi Duan , Yu pan , Junjin Zheng , Lei Wang , Zenglin Xu

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…

Computation and Language · Computer Science 2019-06-18 Andrey Kutuzov , Mohammad Dorgham , Oleksiy Oliynyk , Chris Biemann , Alexander Panchenko

Recently, techniques for applying convolutional neural networks to graph-structured data have emerged. Graph convolutional neural networks (GCNNs) have been used to address node and graph classification and matrix completion. Although the…

Machine Learning · Statistics 2018-11-28 Yingxue Zhang , Soumyasundar Pal , Mark Coates , Deniz Üstebay