<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The dimensionality and the amount of data that need to be processed when intensive data streams are observed grow rapidly together with the development of sensors arrays, CCD and CMOS cameras and other devices. The aim of this paper is to propose an approach to dimensionality reduction as a first stage of training RBF nets. As a vehicle for presenting the ideas, the problem of estimating multivariate probability densities is chosen. The linear projection method is briefly surveyed. Using random projections as the first (additional) layer, we are able to reduce the dimensionality of input data. Bounds on the accuracy of RBF nets equipped with a random projection layer in comparison to RBF nets without dimensionality reduction are established. Finally, the results of simulations concerning multidimensional density estimation are briefly reported.</p></abstract>

The dimensionality and the amount of data that need to be processed when intensive data streams are observed grow rapidly together with the development of sensors arrays, CCD and CMOS cameras and other devices. The aim of this paper is to propose an approach to dimensionality reduction as a first stage of training RBF nets. As a vehicle for presenting the ideas, the problem of estimating multivariate probability densities is chosen. The linear projection method is briefly surveyed. Using random projections as the first (additional) layer, we are able to reduce the dimensionality of input data. Bounds on the accuracy of RBF nets equipped with a random projection layer in comparison to RBF nets without dimensionality reduction are established. Finally, the results of simulations concerning multidimensional density estimation are briefly reported.

Random Projection RBF Nets for Multidimensional Density Estimation

Institute of Computer Engineering, Automation and Robotics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

International Journal of Applied Mathematics and Computer Science

{"article-title":"Random Projection RBF Nets for Multidimensional Density Estimation"}

The dimensionality and the amount of data that need to be processed when intensive data streams are observed grow rapidly together with the development of...

Random Projection RBF Nets for Multidimensional Density Estimation

Published Online: Dec 30, 2008

Page range: 455 - 464

DOI: https://doi.org/10.2478/v10006-008-0040-9

Keywords
radial basis functions, multivariate density estimation, dimension reduction, normal random projection, novelty detection

This content is open access.

Random Projection RBF Nets for Multidimensional Density Estimation

Published Online: Dec 30, 2008

Page range: 455 - 464

DOI: https://doi.org/10.2478/v10006-008-0040-9

Keywordsradial basis functions, multivariate density estimation, dimension reduction, normal random projection, novelty detection

This content is open access.

Keywords
radial basis functions, multivariate density estimation, dimension reduction, normal random projection, novelty detection