Title
Adaptive Constraint Propagation for Semi-Supervised Kernel Matrix Learning
Abstract
We propose adaptive constraint propagation (ACP) for semi-supervised kernel matrix learning (SS-KML). SS-KML aims to learn a kernel matrix from the given samples which contains just a little supervised information such as class labels or pairwise constraints. Recently, for effective SS-KML, constraint propagation methods by semi-definite programming are being actively studied, and the representative works are pairwise constraint propagation (PCP) and kernel propagation (KP). They have used hard constraints in their frameworks for constraint propagation and achieved outstanding classification performance. However, a small set of the hard constraints sometimes cannot cover all the samples of the full data set, and thus lead to large distortions of global discriminative data structure in the learned kernel matrix. It has a negative influence on the classification performance. To deal with this problem, we provide two adaptive fidelity terms to satisfy the requirement that two must-link samples become close and two cannot-link samples become far apart. Then, we build a new framework based on them to adaptively propagate the constraints. Experimental results demonstrate that ACP outperforms state-of-the-art SS-KML methods such as PCP and KP in terms of both effectiveness and efficiency.
Year
DOI
Venue
2015
10.1007/s11063-013-9337-2
Neural Processing Letters
Keywords
Field
DocType
Adaptive constraint propagation,Pairwise constraint,Semi-definite programming,Semi-supervised kernel matrix learning,Semi-supervised classification
Kernel (linear algebra),Pairwise comparison,Constraint satisfaction,Data structure,Local consistency,Pattern recognition,Artificial intelligence,Discriminative model,Small set,Mathematics,Machine learning,Semidefinite programming
Journal
Volume
Issue
ISSN
41
1
1370-4621
Citations 
PageRank 
References 
4
0.40
26
Authors
5
Name
Order
Citations
PageRank
Meng Jian1598.07
Cheolkon Jung234247.75
Yanbo Shen3262.73
Licheng Jiao45698475.84
Juan Liu540.40