Hybrid optimized polynomial neural networks with polynomial neurons and fuzzy polynomial neurons

Dan Wang*, Donghong Ji, Wei Huang

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper introduces a hybrid optimized polynomial neural network (HOPNN), a novel architecture that is constructed by using a combination of fuzzy rule-based models, polynomial neural networks (PNNs) and a hybrid optimization algorithm. The proposed hybrid optimization algorithm is developed by a combination of a space search algorithm and Powell's method. The structure of this HOPNN comprises of a synergistic usage of fuzzy-relation-based polynomial neurons and polynomial neural network. The fuzzy-relation-based polynomial neurons are fuzzy rule-based models, while the polynomial neural network is an extended group method of data handling (GMDH). The architecture of HOPNN is essentially modified PNNs whose basic nodes of the first (input) layer are fuzzy-rule-based polynomial neurons rather than conventional polynomial neurons. Moreover, the proposed hybrid optimization algorithm is exploited to optimize the structure topology of HOPNN. The performance of the network is quantified through experimentation in which we use a number of modeling benchmarks already experimented with in the realm of fuzzy or neurofuzzy modeling.

Original languageEnglish
Title of host publicationArtificial Neural Networks and Machine Learning, ICANN 2012 - 22nd International Conference on Artificial Neural Networks, Proceedings
Pages73-80
Number of pages8
EditionPART 1
DOIs
Publication statusPublished - 2012
Externally publishedYes
Event22nd International Conference on Artificial Neural Networks, ICANN 2012 - Lausanne, Switzerland
Duration: 11 Sept 201214 Sept 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 1
Volume7552 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference22nd International Conference on Artificial Neural Networks, ICANN 2012
Country/TerritorySwitzerland
CityLausanne
Period11/09/1214/09/12

Keywords

  • Hybrid optimized polynomial neural network
  • fuzzy rule-based models
  • hybrid optimization
  • polynomial neural networks

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