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Node2vec is a graph embedding method that learns a vector representation for each node of a weighted graph while seeking to preserve relative proximity and global structure. Numerical experiments suggest Node2vec struggles to recreate the…

Machine Learning · Statistics 2023-09-18 Yasuaki Hiraoka , Yusuke Imoto , Killian Meehan , Théo Lacombe , Toshiaki Yachimura

Researchers have designed many algorithms to measure the distances between graph nodes, such as average hitting times of random walks, cosine distances from DeepWalk, personalized PageRank, etc. Successful although these algorithms are,…

Discrete Mathematics · Computer Science 2020-12-02 Enzhi Li , Zhengyi Le

The stochastic block model is able to generate different network partitions, ranging from traditional assortative communities to disassortative structures. Since the degree-corrected stochastic block model does not specify which mixing…

Social and Information Networks · Computer Science 2019-09-16 Xiaoyan Lu , Boleslaw K. Szymanski

In this paper, we study the fundamental problem of random walk for network embedding. We propose to use non-Markovian random walk, variants of vertex-reinforced random walk (VRRW), to fully use the history of a random walk path. To solve…

Social and Information Networks · Computer Science 2020-02-12 Wenyi Xiao , Huan Zhao , Vincent W. Zheng , Yangqiu Song

Community detection in networks is a key exploratory tool with applications in a diverse set of areas, ranging from finding communities in social and biological networks to identifying link farms in the World Wide Web. The problem of…

Machine Learning · Statistics 2017-09-05 Peter J. Bickel , Purnamrita Sarkar

Recent advances in neural networks have solved common graph problems such as link prediction, node classification, node clustering, node recommendation by developing embeddings of entities and relations into vector spaces. Graph embeddings…

Social and Information Networks · Computer Science 2021-11-19 Archit Parnami , Mayuri Deshpande , Anant Kumar Mishra , Minwoo Lee

Node embedding learns a low-dimensional representation for each node in the graph. Recent progress on node embedding shows that proximity matrix factorization methods gain superb performance and scale to large graphs with millions of nodes.…

Machine Learning · Computer Science 2021-08-13 Xingyi Zhang , Kun Xie , Sibo Wang , Zengfeng Huang

A graph embedding is an emerging approach that can represent a graph structure with a fixed-length low-dimensional vector. node2vec is a well-known algorithm to obtain such a graph embedding by sampling neighboring nodes on a given graph…

Machine Learning · Computer Science 2024-04-30 Kazuki Sunaga , Keisuke Sugiura , Hiroki Matsutani

The DeepWalk algorithm is used to assign embedding vectors to nodes in the Atomspace weighted, labeled hypergraph that is used to represent knowledge in the OpenCog AGI system, in the context of an application to probabilistic inference…

Artificial Intelligence · Computer Science 2020-05-27 Ben Goertzel , Mike Duncan , Debbie Duong , Nil Geisweiller , Hedra Seid , Abdulrahman Semrie , Man Hin Leung , Matthew Ikle'

The goal of network embedding is to transform nodes in a network to a low-dimensional embedding vectors. Recently, heterogeneous network has shown to be effective in representing diverse information in data. However, heterogeneous network…

Social and Information Networks · Computer Science 2019-12-21 Seonghyeon Lee , Chanyoung Park , Hwanjo Yu

New phase transition phenomena have recently been discovered for the stochastic block model, for the special case of two non-overlapping symmetric communities. This gives raise in particular to new algorithmic challenges driven by the…

Probability · Mathematics 2015-04-07 Emmanuel Abbe , Colin Sandon

Methods that learn representations of nodes in a graph play a critical role in network analysis since they enable many downstream learning tasks. We propose Graph2Gauss - an approach that can efficiently learn versatile node embeddings on…

Machine Learning · Statistics 2019-04-02 Aleksandar Bojchevski , Stephan Günnemann

This paper introduces a refined graph encoder embedding method, enhancing the original graph encoder embedding through linear transformation, self-training, and hidden community recovery within observed communities. We provide the…

Social and Information Networks · Computer Science 2025-03-18 Cencheng Shen , Jonathan Larson , Ha Trinh , Carey E. Priebe

Graph embedding techniques, which learn low-dimensional representations of a graph, are achieving state-of-the-art performance in many graph mining tasks. Most existing embedding algorithms assign a single vector to each node, implicitly…

Social and Information Networks · Computer Science 2020-10-22 Jisung Yoon , Kai-Cheng Yang , Woo-Sung Jung , Yong-Yeol Ahn

We propose a neural embedding algorithm called Network Vector, which learns distributed representations of nodes and the entire networks simultaneously. By embedding networks in a low-dimensional space, the algorithm allows us to compare…

Social and Information Networks · Computer Science 2017-09-11 Hao Wu , Kristina Lerman

Community detection refers to the task of discovering groups of vertices sharing similar properties or functions so as to understand the network data. With the recent development of deep learning, graph representation learning techniques…

Artificial Intelligence · Computer Science 2019-12-17 Yuting Jia , Qinqin Zhang , Weinan Zhang , Xinbing Wang

Community detection in multi-layer networks has emerged as a crucial area of modern network analysis. However, conventional approaches often assume that nodes belong exclusively to a single community, which fails to capture the complex…

Social and Information Networks · Computer Science 2024-09-13 Huan Qing

Network embedding has attracted an increasing attention over the past few years. As an effective approach to solve graph mining problems, network embedding aims to learn a low-dimensional feature vector representation for each node of a…

Social and Information Networks · Computer Science 2020-08-10 Xiao Shen , Fu-Lai Chung

In network inference applications, it is often desirable to detect community structure, namely to cluster vertices into groups, or blocks, according to some measure of similarity. Beyond mere adjacency matrices, many real networks also…

Social and Information Networks · Computer Science 2021-08-06 Cong Mu , Angelo Mele , Lingxin Hao , Joshua Cape , Avanti Athreya , Carey E. Priebe

We propose a novel approach for learning node representations in directed graphs, which maintains separate views or embedding spaces for the two distinct node roles induced by the directionality of the edges. We argue that the previous…

Social and Information Networks · Computer Science 2019-07-01 Megha Khosla , Jurek Leonhardt , Wolfgang Nejdl , Avishek Anand