Title
Watch Your Step: Learning Graph Embeddings Through Attention.
Abstract
Graph embedding methods represent nodes in a continuous vector space, preserving information from the graph (e.g. by sampling random walks). There are many hyper-parameters to these methods (such as random walk length) which have to be manually tuned for every graph. In this paper, we replace random walk hyper-parameters with trainable parameters that we automatically learn via backpropagation. In particular, we learn a novel attention model on the power series of the transition matrix, which guides the random walk to optimize an upstream objective. Unlike previous approaches to attention models, the method that we propose utilizes attention parameters exclusively on the data (e.g. on the random walk), and not used by the model for inference. We experiment on link prediction tasks, as we aim to produce embeddings that best-preserve the graph structure, generalizing to unseen information. We improve state-of-the-art on a comprehensive suite of real world datasets including social, collaboration, and biological networks. Adding attention to random walks can reduce the error by 20% to 45% on datasets we attempted. Further, our learned attention parameters are different for every graph, and our automatically-found values agree with the optimal choice of hyper-parameter if we manually tune existing methods.
Year
Venue
Field
2017
arXiv: Learning
Vector space,Stochastic matrix,Graph embedding,Generalization,Biological network,Random walk,Inference,Theoretical computer science,Artificial intelligence,Backpropagation,Machine learning,Mathematics
DocType
Volume
Citations 
Journal
abs/1710.09599
6
PageRank 
References 
Authors
0.44
27
4
Name
Order
Citations
PageRank
Sami Abu-El-Haija11819.13
Bryan Perozzi2166054.77
Rami Al-Rfou'3153149.60
Alexander A. Alemi4709.92