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Authors: João Fernando Marar 1 and Helder Coelho 2

Affiliations: 1 Adaptive Systems and Computational Intelligence Laboratory, Faculdade de Ciências, São Paulo State University, Brazil ; 2 Laboratory of Agent Modelling, Faculdade de Ciências, Lisbon University, Portugal

ISBN: 978-989-8111-18-0

ISSN: 2184-4305

Keyword(s): Artificial Neural Network, Function Approximation, Polynomial Powers of Sigmoid (PPS), Wavelets Functions, PPS-Wavelet Neural Networks, Activation Functions, Feedforward Networks.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Biomedical Engineering ; Biomedical Signal Processing ; Computational Intelligence ; Health Engineering and Technology Applications ; Human-Computer Interaction ; Methodologies and Methods ; Neural Networks ; Neurocomputing ; Neurotechnology, Electronics and Informatics ; Pattern Recognition ; Physiological Computing Systems ; Sensor Networks ; Signal Processing ; Soft Computing ; Theory and Methods

Abstract: Wavelet functions have been used as the activation function in feedforward neural networks. An abundance of R&D has been produced on wavelet neural network area. Some successful algorithms and applications in wavelet neural network have been developed and reported in the literature. However, most of the aforementioned reports impose many restrictions in the classical backpropagation algorithm, such as low dimensionality, tensor product of wavelets, parameters initialization, and, in general, the output is one dimensional, etc. In order to remove some of these restrictions, a family of polynomial wavelets generated from powers of sigmoid functions is presented. We described how a multidimensional wavelet neural networks based on these functions can be constructed, trained and applied in pattern recognition tasks. As an example of application for the method proposed, it is studied the exclusive-or (XOR) problem.

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Paper citation in several formats:
Fernando Marar, J. and Coelho, H. (2008). MULTIDIMENSIONAL POLYNOMIAL POWERS OF SIGMOID (PPS) WAVELET NEURAL NETWORKS.In Proceedings of the First International Conference on Bio-inspired Systems and Signal Processing - Volume 2: BIOSIGNALS, (BIOSTEC 2008) ISBN 978-989-8111-18-0, pages 261-268. DOI: 10.5220/0001067302610268

@conference{biosignals08,
author={João {Fernando Marar} and Helder Coelho},
title={MULTIDIMENSIONAL POLYNOMIAL POWERS OF SIGMOID (PPS) WAVELET NEURAL NETWORKS},
booktitle={Proceedings of the First International Conference on Bio-inspired Systems and Signal Processing - Volume 2: BIOSIGNALS, (BIOSTEC 2008)},
year={2008},
pages={261-268},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001067302610268},
isbn={978-989-8111-18-0},
}

TY - CONF

JO - Proceedings of the First International Conference on Bio-inspired Systems and Signal Processing - Volume 2: BIOSIGNALS, (BIOSTEC 2008)
TI - MULTIDIMENSIONAL POLYNOMIAL POWERS OF SIGMOID (PPS) WAVELET NEURAL NETWORKS
SN - 978-989-8111-18-0
AU - Fernando Marar, J.
AU - Coelho, H.
PY - 2008
SP - 261
EP - 268
DO - 10.5220/0001067302610268

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