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Hands-On Unsupervised Learning with Python
book

Hands-On Unsupervised Learning with Python

by Giuseppe Bonaccorso
February 2019
Intermediate to advanced content levelIntermediate to advanced
386 pages
9h 54m
English
Packt Publishing
Content preview from Hands-On Unsupervised Learning with Python

Rubner-Tavan's network

Another neural network that can perform PCA was proposed by Rubner and Tavan (in Rubner, J. and Tavan, P., A Self-Organizing Network for Principal-Components Analysis, Europhysics Letters, 10(7), 1989). Their approach, however, is based on the decorrelation of the covariance matrix, which is the final result of PCA (that is, it is like operating with a bottom-up strategy, while the standard procedure is top-down). Let's consider a zero-centered dataset, X, and a network whose output is y ∈ ℜm vectors. Therefore, the covariance matrix of the output distribution is as follows:

Structure of a generic Rubner-Tavan's network ...
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Publisher Resources

ISBN: 9781789348279Supplemental Content