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Geometric graphs appear in many real-world data sets, such as road networks, sensor networks, and molecules. We investigate the notion of distance between embedded graphs and present a metric to measure the distance between two geometric…

数据结构与算法 · 计算机科学 2024-07-15 Erin Wolf Chambers , Elizabeth Munch , Sarah Percival , Xinyi Wang

Graph edit distance / similarity is widely used in many tasks, such as graph similarity search, binary function analysis, and graph clustering. However, computing the exact graph edit distance (GED) or maximum common subgraph (MCS) between…

数据库 · 计算机科学 2020-07-01 Haibo Xiu , Xiao Yan , Xiaoqiang Wang , James Cheng , Lei Cao

Deep Neural Networks have shown tremendous success in the area of object recognition, image classification and natural language processing. However, designing optimal Neural Network architectures that can learn and output arbitrary graphs…

机器学习 · 计算机科学 2019-07-02 Mital Kinderkhedia

Due to their capacity to encode rich structural information, labeled graphs are often used for modeling various kinds of objects such as images, molecules, and chemical compounds. If pattern recognition problems such as clustering and…

数据结构与算法 · 计算机科学 2019-08-02 David B. Blumenthal

Modern machine learning techniques are successfully being adapted to data modeled as graphs. However, many real-world graphs are typically very large and do not fit in memory, often making the problem of training machine learning models on…

机器学习 · 计算机科学 2020-12-10 Alexandra Angerd , Keshav Balasubramanian , Murali Annavaram

Current Graph Neural Networks (GNN) architectures generally rely on two important components: node features embedding through message passing, and aggregation with a specialized form of pooling. The structural (or topological) information…

机器学习 · 计算机科学 2022-06-01 Cédric Vincent-Cuaz , Rémi Flamary , Marco Corneli , Titouan Vayer , Nicolas Courty

The need to identify graphs with small structural distances from a query arises in domains such as biology, chemistry, recommender systems, and social network analysis. Among several methods for measuring inter-graph distance, Graph Edit…

机器学习 · 计算机科学 2025-09-30 Aditya Bommakanti , Harshith Reddy Vonteri , Sayan Ranu , Panagiotis Karras

Many tasks in graphics and vision demand machinery for converting shapes into consistent representations with sparse sets of parameters; these representations facilitate rendering, editing, and storage. When the source data is noisy or…

图形学 · 计算机科学 2021-11-24 Dmitriy Smirnov , Matthew Fisher , Vladimir G. Kim , Richard Zhang , Justin Solomon

We propose an efficient framework that integrates distance-aware multi-hop message passing with dynamic topology refinement. Unlike standard GNNs that rely on shallow, fixed-hop aggregation, DRTR leverages both static preprocessing and…

机器学习 · 计算机科学 2025-12-01 Dong Liu , Yanxuan Yu

The graph edit distance (GED) is a flexible distance measure which is widely used for inexact graph matching. Since its exact computation is NP-hard, heuristics are used in practice. A popular approach is to obtain upper bounds for GED via…

数据结构与算法 · 计算机科学 2021-01-29 David B. Blumenthal , Johann Gamper , Sébastien Bougleux , Luc Brun

The graph edit distance (GED) measures the dissimilarity between two graphs as the minimal cost of a sequence of elementary operations transforming one graph into another. This measure is fundamental in many areas such as structural pattern…

数据结构与算法 · 计算机科学 2019-11-27 Nicolas Boria , David B. Blumenthal , Sébastien Bougleux , Luc Brun

Existing graph layout algorithms are usually not able to optimize all the aesthetic properties desired in a graph layout. To evaluate how well the desired visual features are reflected in a graph layout, many readability metrics have been…

计算机视觉与模式识别 · 计算机科学 2018-11-16 Hammad Haleem , Yong Wang , Abishek Puri , Sahil Wadhwa , Huamin Qu

Computing latent representations for graph-structured data is an ubiquitous learning task in many industrial and academic applications ranging from molecule synthetization to social network analysis and recommender systems. Knowledge graphs…

神经与进化计算 · 计算机科学 2023-08-25 Victor Caceres Chian , Marcel Hildebrandt , Thomas Runkler , Dominik Dold

Graph Neural Networks (GNNs) are a powerful representational tool for solving problems on graph-structured inputs. In almost all cases so far, however, they have been applied to directly recovering a final solution from raw inputs, without…

机器学习 · 统计学 2020-01-16 Petar Veličković , Rex Ying , Matilde Padovano , Raia Hadsell , Charles Blundell

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,…

机器学习 · 计算机科学 2024-12-30 Qihao Cheng , Da Yan , Tianhao Wu , Zhongyi Huang , Qin Zhang

Graph neural network (GNN) has shown convincing performance in learning powerful node representations that preserve both node attributes and graph structural information. However, many GNNs encounter problems in effectiveness and efficiency…

机器学习 · 计算机科学 2022-01-03 Jiyang Bai , Yuxiang Ren , Jiawei Zhang

Text similarity calculation is a fundamental problem in natural language processing and related fields. In recent years, deep neural networks have been developed to perform the task and high performances have been achieved. The neural…

计算与语言 · 计算机科学 2018-10-26 Yilin Niu , Chao Qiao , Hang Li , Minlie Huang

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…

机器学习 · 计算机科学 2022-08-18 Haoyan Xu , Runjian Chen , Yueyang Wang , Ziheng Duan , Jie Feng

Metric graphs are ubiquitous in science and engineering. For example, many data are drawn from hidden spaces that are graph-like, such as the cosmic web. A metric graph offers one of the simplest yet still meaningful ways to represent the…

计算几何 · 计算机科学 2017-12-05 Tamal K. Dey , Dayu Shi , Yusu Wang

Graph Neural Networks (GNNs) are often used for tasks involving the 3D geometry of a given graph, such as molecular dynamics simulation. While incorporating Euclidean distance into Message Passing Neural Networks (referred to as Vanilla…

机器学习 · 计算机科学 2024-10-22 Zian Li , Xiyuan Wang , Yinan Huang , Muhan Zhang