Title
Supervised probabilistic principal component analysis
Abstract
Principal component analysis (PCA) has been extensively applied in data mining, pattern recognition and information retrieval for unsupervised dimensionality reduction. When labels of data are available, e.g., in a classification or regres- sion task, PCA is however not able to use this information. The problem is more interesting if only part of the input data are labeled, i.e., in a semi-supervised setting. In this paper we propose a supervised PCA model called SPPCA and a semi-supervised PCA model called S2PPCA, both of which are extensions of a probabilistic PCA model. The pro- posed models are able to incorporate the label information into the projection phase, and can naturally handle multi- ple outputs (i.e., in multi-task learning problems). We de- rive an ecient EM learning algorithm for both models, and also provide theoretical justifications of the model behaviors. SPPCA and S2PPCA are compared with other supervised projection methods on various learning tasks, and show not only promising performance but also good scalability.
Year
DOI
Venue
2006
10.1145/1150402.1150454
KDD
Keywords
Field
DocType
principal component analysis,data mining,probabilistic pca model,input data,various learning task,su- pervised projection,model behavior,information retrieval,supervised pca model,supervised probabilistic principal component,semi-supervised pca model,semi-supervised projection,label information,dimensionality reduction,projection method,pattern recognition,multi task learning
Data mining,Dimensionality reduction,Semi-supervised learning,Computer science,Artificial intelligence,Probabilistic principal component analysis,Probabilistic logic,Sparse PCA,Regression,Pattern recognition,Machine learning,Principal component analysis,Scalability
Conference
ISBN
Citations 
PageRank 
1-59593-339-5
35
2.56
References 
Authors
8
5
Name
Order
Citations
PageRank
Shipeng Yu11767118.84
Yu, Kai24799255.21
Volker Tresp32907373.75
Hans-Peter Kriegel4207423284.07
Mingrui Wu551523.03