Title
How much topological structure is preserved by graph embeddings?
Abstract
Graph embedding aims at learning representations of nodes in a low dimensional vector space. Good embeddings should preserve the graph topological structure. To study how much such structure can be preserved, we propose evaluation methods from four aspects: 1) How well the graph can be reconstructed based on the embeddings, 2) The divergence of the original link distribution and the embedding-derived distribution, 3) The consistency of communities discovered from the graph and embeddings, and 4) To what extent we can employ embeddings to facilitate link prediction. We find that it is insufficient to rely on the embeddings to reconstruct the original graph, to discover communities, and to predict links at a high precision. Thus, the embeddings by the state-of-the-art approaches can only preserve part of the topological structure.
Year
DOI
Venue
2019
10.2298/CSIS181001011L
COMPUTER SCIENCE AND INFORMATION SYSTEMS
Keywords
Field
DocType
graph embedding,network representation learning,graph reconstruction,dimension reduction,graph mining
Data mining,Graph,Computer science,Theoretical computer science
Journal
Volume
Issue
ISSN
16
2
1820-0214
Citations 
PageRank 
References 
1
0.35
0
Authors
5
Name
Order
Citations
PageRank
Xin Liu110415.16
Chenyi Zhuang2455.45
Tsuyoshi Murata33714.01
Kyoung-Sook Kim42414.07
Natthawut Kertkeidkachorn558.54