Nonmonotonic generalization bias of Gaussian mixture models.

Abstract:

:Theories of learning and generalization hold that the generalization bias, defined as the difference between the training error and the generalization error, increases on average with the number of adaptive parameters. This article, however, shows that this general tendency is violated for a gaussian mixture model. For temperatures just below the first symmetry breaking point, the effective number of adaptive parameters increases and the generalization bias decreases. We compute the dependence of the neural information criterion on temperature around the symmetry breaking. Our results are confirmed by numerical cross-validation experiments.

journal_name

Neural Comput

journal_title

Neural computation

authors

Akaho S,Kappen HJ

doi

10.1162/089976600300015439

subject

Has Abstract

pub_date

2000-06-01 00:00:00

pages

1411-27

issue

6

eissn

0899-7667

issn

1530-888X

journal_volume

12

pub_type

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