Principal components analysis competitive learning

Authors:
Ezequiel López-Rubio;Juan Miguel Ortiz-de-Lazcano-Lobato;José Muñoz-Pérez;José Antonio Gómez-Ruiz
Affiliations:
Department of Computer Science and Artificial Intelligence, University of Málaga, Campus de Teatinos, s/n. 29071 Málaga, Spain;Department of Computer Science and Artificial Intelligence, University of Málaga, Campus de Teatinos, s/n. 29071 Málaga, Spain;Department of Computer Science and Artificial Intelligence, University of Málaga, Campus de Teatinos, s/n. 29071 Málaga, Spain;Department of Computer Science and Artificial Intelligence, University of Málaga, Campus de Teatinos, s/n. 29071 Málaga, Spain
Venue:
Neural Computation
Year:
2004

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Abstract

We present a new neural model that extends the classical competitive learning by performing a principal components analysis (PCA) at each neuron. This model represents an improvement with respect to known local PCA methods, because it is not needed to present the entire data set to the network on each computing step. This allows a fast execution while retaining the dimensionality-reduction properties of the PCA. Furthermore, every neuron is able to modify its behavior to adapt to the local dimensionality of the input distribution. Hence, our model has a dimensionality estimation capability. The experimental results we present show the dimensionality-reduction capabilities of the model with multisensor images.