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Random projection RBF nets for multidimensional density estimation

100%

Skubalska-Rafajłowicz E.

International Journal of Applied Mathematics and Computer Science

2008

tom 18

nr 4

455-464

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.

Stabilising solutions to a class of nonlinear optimal state tracking problems using radial basis function networks

86%

Ahmida Z., Charef A., Becerra V. M.

International Journal of Applied Mathematics and Computer Science

2005

tom 15

nr 3

369-381

A controller architecture for nonlinear systems described by Gaussian RBF neural networks is proposed. The controller is a stabilising solution to a class of nonlinear optimal state tracking problems and consists of a combination of a state feedback stabilising regulator and a feedforward neuro-controller. The state feedback stabilising regulator is computed on-line by transforming the tracking problem into a more manageable regulation one, which is solved within the framework of a nonlinear predictive control strategy with guaranteed stability. The feedforward neuro-controller has been designed using the concept of inverse mapping. The proposed control scheme is demonstrated on a simulated single-link robotic manipulator.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

1 Ahmida Z.

1 Becerra V. M.

1 Charef A.

1 Skubalska-Rafajłowicz E.

1 2008

1 2005

Wyniki wyszukiwania

Random projection RBF nets for multidimensional density estimation

Stabilising solutions to a class of nonlinear optimal state tracking problems using radial basis function networks