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6 x 9, illustrated
ISSN
0899-7667
E-ISSN
1530-888X
2014 Impact factor:
2.21

Neural Computation

May 1, 2002, Vol. 14, No. 5, Pages 1169-1182
(doi: 10.1162/089976602753633439)
© 2002 Massachusetts Institute of Technology
Products of Gaussians and Probabilistic Minor Component Analysis
Article PDF (155.85 KB)
Abstract

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.