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Recently a variety of methods have been developed to encode graphs into low-dimensional vectors that can be easily exploited by machine learning algorithms. The majority of these methods start by embedding the graph nodes into a…

Machine Learning · Computer Science 2018-09-13 Yu Jin , Joseph F. JaJa

Most existing popular methods for learning graph embedding only consider fixed-order global structural features and lack structures hierarchical representation. To address this weakness, we propose a novel graph embedding algorithm named…

Machine Learning · Computer Science 2021-02-03 Xue Liu , Wei Wei , Xiangnan Feng , Xiaobo Cao , Dan Sun

Graph kernels are conventional methods for computing graph similarities. However, the existing R-convolution graph kernels cannot resolve both of the two challenges: 1) Comparing graphs at multiple different scales, and 2) Considering the…

Machine Learning · Computer Science 2024-05-14 Wei Ye , Hao Tian , Qijun Chen

Shortest-path roadmaps, also known as reduced visibility graphs, provides a highly efficient multi-query method for computing optimal paths in two-dimensional environments. Combined with Minkowski sum computations, shortest-path roadmaps…

Robotics · Computer Science 2025-03-27 Duo Zhang , Zihe Ye , Jingjin Yu

Visualizing high-dimensional data has been a focus in data analysis communities for decades, which has led to the design of many algorithms, some of which are now considered references (such as t-SNE for example). In our era of overwhelming…

Machine Learning · Computer Science 2017-02-21 Johan Paratte , Nathanaël Perraudin , Pierre Vandergheynst

Popular node embedding methods such as DeepWalk follow the paradigm of performing random walks on the graph, and then requiring each node to be proximate to those appearing along with it. Though proved to be successful in various tasks,…

Machine Learning · Computer Science 2022-05-31 Zhengrong Xue , Ziao Guo , Yiwei Guo

Graph, as an important data representation, is ubiquitous in many real world applications ranging from social network analysis to biology. How to correctly and effectively learn and extract information from graph is essential for a large…

Machine Learning · Computer Science 2020-10-27 Xiaodong Jiang , Ronghang Zhu , Pengsheng Ji , Sheng Li

Graph embedding is a transformation of nodes of a graph into a set of vectors. A~good embedding should capture the graph topology, node-to-node relationship, and other relevant information about the graph, its subgraphs, and nodes. If these…

Social and Information Networks · Computer Science 2022-06-22 Arash Dehghan-Kooshkghazi , Bogumił Kamiński , Łukasz Kraiński , Paweł Prałat , François Théberge

We present a message-passing algorithm to solve the edge disjoint path problem (EDP) on graphs incorporating under a unique framework both traffic optimization and path length minimization. The min-sum equations for this problem present an…

Disordered Systems and Neural Networks · Physics 2016-01-21 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Caterina De Bacco , Silvio Franz

Graph embedding algorithms are used to efficiently represent (encode) a graph in a low-dimensional continuous vector space that preserves the most important properties of the graph. One aspect that is often overlooked is whether the graph…

Machine Learning · Computer Science 2020-01-31 Zekarias T. Kefato , Nasrullah Sheikh , Alberto Montresor

Graph embeddings have become a key and widely used technique within the field of graph mining, proving to be successful across a broad range of domains including social, citation, transportation and biological. Graph embedding techniques…

Machine Learning · Computer Science 2018-06-21 Stephen Bonner , Ibad Kureshi , John Brennan , Georgios Theodoropoulos , Andrew Stephen McGough , Boguslaw Obara

Social network analysis provides meaningful information about behavior of network members that can be used for diverse applications such as classification, link prediction. However, network analysis is computationally expensive because of…

Social and Information Networks · Computer Science 2018-07-30 Mohammad Mehdi Keikha , Maseud Rahgozar , Masoud Asadpour

As large graph datasets become increasingly common across many fields, sampling is often needed to reduce the graphs into manageable sizes. This procedure raises critical questions about representativeness as no sample can capture the…

Social and Information Networks · Computer Science 2025-02-25 Alan Zhu , Jiaqi Ma , Qiaozhu Mei

Recently, one has seen a surge of interest in developing such methods including ones for learning such representations for (undirected) graphs (while preserving important properties). However, most of the work to date on embedding graphs…

Social and Information Networks · Computer Science 2018-11-30 Jiankai Sun , Srinivasan Parthasarathy

Graphlets are induced subgraph patterns that are crucial to the understanding of the structure and function of a large network. A lot of efforts have been devoted to calculating graphlet statistics where random walk based approaches are…

Social and Information Networks · Computer Science 2020-05-12 Simiao Jiao , Zihui Xue , Xiaowei Chen , Yuedong Xu

The Restricted Shortest Path (RSP) problem, also known as the Delay-Constrained Least-Cost (DCLC) problem, is an NP-hard bicriteria optimization problem on graphs with $n$ vertices and $m$ edges. In a graph where each edge is assigned a…

Data Structures and Algorithms · Computer Science 2019-11-05 David Holzmüller

Graphs face challenges when dealing with massive datasets. They are essential tools for modeling interconnected data and often become computationally expensive. Graph embedding techniques, on the other hand, provide an efficient approach.…

Databases · Computer Science 2024-12-16 Plácido A Souza Neto

Graph structure learning aims to learn connectivity in a graph from data. It is particularly important for many computer vision related tasks since no explicit graph structure is available for images for most cases. A natural way to…

Computer Vision and Pattern Recognition · Computer Science 2022-12-26 Yaohua Wang , FangYi Zhang , Ming Lin , Senzhang Wang , Xiuyu Sun , Rong Jin

Multi-robot systems of increasing size and complexity are used to solve large-scale problems, such as area exploration and search and rescue. A key decision in human-robot teaming is dividing a multi-robot system into teams to address…

Robotics · Computer Science 2020-04-09 Brian Reily , Christopher Reardon , Hao Zhang

Graph-based multi-view clustering has become an active topic due to the efficiency in characterizing both the complex structure and relationship between multimedia data. However, existing methods have the following shortcomings: (1) They…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Tianyu Jiang , Quanxue Gao , Xinbo Gao