TY - GEN
T1 - Multiclass probabilistic kernel discriminant analysis
AU - Zhao, Zheng
AU - Sun, Liang
AU - Yu, Shipeng
AU - Liu, Huan
AU - Ye, Jieping
PY - 2009/1/1
Y1 - 2009/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=78650041659&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78650041659&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:78650041659
SN - 9781577354260
T3 - IJCAI International Joint Conference on Artificial Intelligence
SP - 1363
EP - 1368
BT - IJCAI-09 - Proceedings of the 21st International Joint Conference on Artificial Intelligence
PB - International Joint Conferences on Artificial Intelligence
T2 - 21st International Joint Conference on Artificial Intelligence, IJCAI 2009
Y2 - 11 July 2009 through 16 July 2009
ER -