Gaussian PCA [Arithmetic]
K. Pearson, "On lines and planes of closest fit to systems of points in space", Philosophical Magazine, Volume 2, No. 11, pages 559-572, 1901.
H. Hotelling, "Analysis of a Complex of Statistical Variables Into Principal Components, Journal of Educational Psychology, Volume 24, pages 417-441, 1933.
I. Jollife, "Principal Component Analysis", New York: Springer-Verlag, 2002.
MultiVariate Student-t PCA (MV Student-t PCA)
Z. Khan, F. Dellaert, "Robust generative subspace modeling: The subspace t distribution", 2004.
Laplacian PCA (LPCA)
D. Zhao, Z. Lin, X. Tang, "Laplacian PCA and Its Applications", IEEE International Conference on Computer Vision, ICCV 2007, 2007.
Cauchy (CPCA)
P. Xie, E. Xing, “Cauchy Principal Component Analysis”, International Conference on Learning Representations, ICLR 2015, San Diego, USA, May 2015.
A. Fayomi, Y. Pantazis, M. Tsagris, A. Wood, “Cauchy robust principal component analysis with applications to high-dimensional data sets”, Statistics and Computing, Volume 34, Issue 1, February 2024
Poisson PCA
J. Virta, A. Artemiou, “Poisson PCA for matrix count data”, Pattern Recognition, Volume 138, 2023.
Coupled PCA
R. Moller, A. Konies, "Coupled Principal Component Analysis", IEEE Transactions on Neural Networks, Volume 15, No. 1, pages 214-222, 2004.