Products of Gaussians and Probabilistic Minor Component Analysis

C. K. I. Williams, F. V. Agakov

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)1169-1182
Number of pages14
JournalNeural Computation
Issue number5
Publication statusPublished - 1 May 2002


Dive into the research topics of 'Products of Gaussians and Probabilistic Minor Component Analysis'. Together they form a unique fingerprint.

Cite this