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Abstract:
Recently Hinton (1999) has introduced the Products of Experts
(PoE) model in which several individual probabilistic models for
data are combined to provide an overall model of the data. Below
we consider PoE models in which each expert is a Gaussian.
Although the product of Gaussians is also a Gaussian, if each
Gaussian has a simple structure the product can have a richer
structure. We examine (1) Products of Gaussian pancakes which
give rise to probabilistic Minor Components Analysis, (2)
products of 1-factor PPCA models and (3) a products of experts
construction for an AR(1) process.
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