Title
Isograph: Neighbourhood Graph Construction Based on Geodesic Distance for Semi-supervised Learning
Abstract
Semi-supervised learning based on manifolds has been the focus of extensive research in recent years. Convenient neighbourhood graph construction is a key component of a successful semi-supervised classification method. Previous graph construction methods fail when there are pairs of data points that have small Euclidean distance, but are far apart over the manifold. To overcome this problem, we start with an arbitrary neighbourhood graph and iteratively update the edge weights by using the estimates of the geodesic distances between points. Moreover, we provide theoretical bounds on the values of estimated geodesic distances. Experimental results on real-world data show significant improvement compared to the previous graph construction methods.
Year
DOI
Venue
2011
10.1109/ICDM.2011.83
ICDM
Keywords
Field
DocType
geodesic distance,convenient neighbourhood graph construction,estimated geodesic distance,data point,extensive research,real-world data,semi-supervised learning,edge weight,previous graph construction method,arbitrary neighbourhood graph,neighbourhood graph construction,graph theory,manifold,learning artificial intelligence,semi supervised learning,euclidean distance
Graph theory,Geometric graph theory,Strength of a graph,Beta skeleton,Computer science,Quartic graph,Distance-hereditary graph,Artificial intelligence,Lattice graph,Graph (abstract data type),Machine learning
Conference
Citations 
PageRank 
References 
2
0.38
8
Authors
5