Out-of-Sample Generalizations for Supervised Manifold Learning for Classification

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Elif Vural, Christine Guillemot

Abstract

Supervised manifold learning methods for data classification map high-dimensional data samples to a lower dimensional domain in a structure-preserving way while increasing the separation between different classes. Most manifold learning methods compute the embedding only of the initially available data; however, the generalization of the embedding to novel points, i.e., the out-of-sample extension problem, becomes especially important in classification applications. In this paper, we propose a semi-supervised method for building an interpolation function that provides an out-of-sample extension for general supervised manifold learning algorithms studied in the context of classification. The proposed algorithm computes a radial basis function interpolator that minimizes an objective function consisting of the total embedding error of unlabeled test samples, defined as their distance to the embeddings of the manifolds of their own class, as well as a regularization term that controls the smoothness of the interpolation function in a direction-dependent way. The class labels of test data and the interpolation function parameters are estimated jointly with an iterative process. Experimental results on face and object images demonst...Continue Reading

References

Dec 23, 2000·Science·J B TenenbaumJ C Langford
Dec 23, 2000·Science·S T Roweis, L K Saul
Mar 8, 2005·IEEE Transactions on Pattern Analysis and Machine Intelligence·Xiaofei HeHong-Jiang Zhang
Apr 11, 2006·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Weilong ChenShiqian Wu
Nov 2, 2006·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Deng CaiHong-Jiang Zhang
Nov 10, 2007·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Dong XuHong-Jiang Zhang
Jul 12, 2008·IEEE Transactions on Pattern Analysis and Machine Intelligence·Tat-Jun Chin, David Suter
Dec 27, 2008·IEEE Transactions on Pattern Analysis and Machine Intelligence·John WrightYi Ma
Dec 22, 2010·IEEE Transactions on Pattern Analysis and Machine Intelligence·Deng CaiThomas S Huang
Jun 28, 2012·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Hong QiaoBo Zhang
Jul 4, 2012·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Ruiping WangWen Gao
Oct 18, 2012·Neural Networks : the Official Journal of the International Neural Network Society·Zhao ZhangTommy W S Chow
Nov 30, 2012·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Elif Vural, Pascal Frossard
Mar 12, 2013·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Quanxue GaoYamin Liu
Dec 18, 2013·Neural Networks : the Official Journal of the International Neural Network Society·Jim Jing-Yan WangXin Gao
Nov 12, 2015·Journal of Clinical and Diagnostic Research : JCDR·Fisun VuralOrhan Temel

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