PPCA [Gaussian]
M. Tipping, C. Bishop,"Probabilistic Principal Component Analysis”, Journal of the Royal Statistical Society, Series B, Volume 61, No. 3, pages 611-622, September 1999.
M. Tipping, C. Bishop, "Mixtures of probabilistic principal component analysers”, Neural Computation, Volume 11, No. 2, pages 443–482, February 1999.
PPCA [Exponential Family]
M. Collins, S. Dasgupta, R. Schapire, “A Generalization of Principal Component Analysis to the Exponential Family,” Advances on Neural Information Processing Systems, Volume 14, 2001.
Supervised PPCA (SPPCA)
S. Yu, K. Yu, V. Tresp, H. Kriege, M. Wu, "Supervised Probabilistic Principal Component Analysis," 2002.
Hierarchial PPCA (HPPCA)
T. Su, J. Dy, "Automated Hierarchical Mixtures of Probabilistic Principal Component Analyzers", International Conference on Machine Learning, ICML 2014, 2014
Sparse PPCA
T. Su, J. Dy, "Sparse Probabilistic Principal Component Analysis", International Conference on Artificial Intelligence and Statistics, AISTATS 2009, 2009.
Bilinear PPCA
J. Zhao, X. Ma, L. Shi, Z. Wang, "Robust Bilinear Probabilistic PCA Using a Matrix Variate t-Distribution", IEEE Transactions on Neural Networks and Learning Systems, Volume 34, No. 12, pages 10683-10697, December 2023,
Improved PPCA
I. Udagedara, B. Helenbrook, A. Luttman, J. Catenacci, "Improved Probabilistic Principal Component Analysis for Application to Reduced Order Modeling", Preprint, 2017.
Probabilistic Non-linear PCA
N. Lawrence, "Probabilistic Non-linear Principal Component Analysis withGaussian Process Latent Variable Model", Journal of Machine Learning Research, Volume 5, pages 1783–1816, 2005.
Fuzzy Probabilistic PCA
K. Honda, H. Ichihashi, “Regularized Linear Fuzzy Clustering and Probabilistic PCA Mixture Models”, IEEE Transactions on Fuzzy Systems, 2005.