A unified view of probabilistic PCA and regularized linear fuzzy clustering

Y. Mori, K. Honda, A. Kanda, H. Ichihashi
Proceedings of the International Joint Conference on Neural Networks, 2003.  
FCM-type fuzzy clustering approaches are closely related to Gaussian Mixture Models (GMMs) and the objective function of Fuzzy c-Means with regularization by K-L information (KFCM) is optimized by an EMlike algorithm. In this paper, we propose to apply probabilistic PCA mixture models to linear clustering following the discussion on the relationship between Local PCA and linear fuzzy clustering. Although the proposed method is a kind of the constrained model of KFCM, the algorithm includes the
more » ... rithm includes the Fuzzy c-Varieties (FCV) algorithm as a special case, and the algorithm can be regarded as a modified FCV algorithm with regularization by K-L information.
doi:10.1109/ijcnn.2003.1223404 fatcat:fohhj4fpxnbfdmfmln4wfjyf74