๐”– Bobbio Scriptorium
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Dimension in latent variable models

โœ Scribed by Michael V. Levine

Book ID
104151531
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
296 KB
Volume
47
Category
Article
ISSN
0022-2496

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โœฆ Synopsis

Psychologists would like to say that a probability distribution on {0,1} n is d-dimensional if (1) the distribution can be represented by some smooth d-dimensional latent variable model and (2) the distribution cannot be represented by any smooth d ร€ 1 dimensional model. This does not work out because for d41; every distribution that can be represented by a smooth d-dimensional model can also be represented by a smooth one-dimensional model. A proof and discussion of some implications of this mathematical result follow.

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