Multiclass probabilistic kernel discriminant analysis

Authors:
Zheng Zhao;Liang Sun;Shipeng Yu;Huan Liu;Jieping Ye
Affiliations:
Department of Computer Science and Engineering, Arizona State University;Department of Computer Science and Engineering, Arizona State University;CAD and Knowledge Solutions, Siemens Medical Solutions USA, Inc.;Department of Computer Science and Engineering, Arizona State University;Department of Computer Science and Engineering, Arizona State University
Venue:
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
Year:
2009

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Abstract

Kernel discriminant analysis (KDA) is an effective approach for supervised nonlinear dimensionality reduction. Probabilistic models can be used with KDA to improve its robustness. However, the state of the art of such models could only handle binary class problems, which confines their application in many real world problems. To overcome this limitation, we propose a novel nonparametric probabilistic model based on Gaussian Process for KDA to handle multiclass problems. The model provides a novel Bayesian interpretation for KDA, which allows its parameters to be automatically tuned through the optimization of the marginal log-likelihood of the data. Empirical study demonstrates the efficacy of the proposed model.