Elements of information theory
Elements of information theory
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Digital signal processing (2nd ed.): principles, algorithms, and applications
Digital signal processing (2nd ed.): principles, algorithms, and applications
Matrix computations (3rd ed.)
EM algorithms for PCA and SPCA
NIPS '97 Proceedings of the 1997 conference on Advances in neural information processing systems 10
Mixtures of probabilistic principal component analyzers
Neural Computation
Neural Networks for Pattern Recognition
Neural Networks for Pattern Recognition
Robust label propagation on multiple networks
IEEE Transactions on Neural Networks
Bayesian extreme components analysis
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
Mutual interdependence analysis (MIA)
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Intrinsic dimension estimation by maximum likelihood in isotropic probabilistic PCA
Pattern Recognition Letters
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Recently, Hinton introduced the products of experts architecture for density estimation, where individual expert probabilities are multiplied and renormalized. We consider products of gaussian "pancakes" equally elongated in all directions except one and prove that the maximum likelihood solution for the model gives rise to a minor component analysis solution. We also discuss the covariance structure of sums and products of gaussian pancakes or one-factor probabilistic principal component analysis models.