Title
Design of K-means clustering-based polynomial radial basis function neural networks (pRBF NNs) realized with the aid of particle swarm optimization and differential evolution
Abstract
In this paper, we introduce an advanced architecture of K-means clustering-based polynomial Radial Basis Function Neural Networks (p-RBF NNs) designed with the aid of Particle Swarm Optimization (PSO) and Differential Evolution (DE) and develop a comprehensive design methodology supporting their construction. The architecture of the p-RBF NNs comes as a result of a synergistic usage of the evolutionary optimization-driven hybrid tools. The connections (weights) of the proposed p-RBF NNs being of a certain functional character and are realized by considering four types of polynomials. In order to design the optimized p-RBF NNs, a prototype (center value) of each receptive field is determined by running the K-means clustering algorithm and then a prototype and a spread of the corresponding receptive field are further optimized through running Particle Swarm Optimization (PSO) and Differential Evolution (DE). The Weighted Least Square Estimation (WLSE) is used to estimate the coefficients of the polynomials (which serve as functional connections of the network). The performance of the proposed model and the comparative analysis involving models designed with the aid of PSO and DE are presented in case of a nonlinear function and two Machine Learning (ML) datasets
Year
DOI
Venue
2012
10.1016/j.neucom.2011.06.031
Neurocomputing
Keywords
Field
DocType
differential evolution,particle swarm optimization,prbf nns,neural network,k-means clustering algorithm,p-rbf nns,proposed p-rbf,advanced architecture,certain functional character,polynomial radial basis function,optimized p-rbf nns,corresponding receptive field,comprehensive design methodology,k means clustering
Least squares,Particle swarm optimization,k-means clustering,Mathematical optimization,Nonlinear system,Polynomial,Differential evolution,Multi-swarm optimization,Artificial intelligence,Cluster analysis,Mathematics,Machine learning
Journal
Volume
Issue
ISSN
78
1
0925-2312
Citations 
PageRank 
References 
24
0.80
14
Authors
4
Name
Order
Citations
PageRank
Sung-Kwun Oh1109895.12
Wook-Dong Kim2906.85
W. Pedrycz3139661005.85
Su-Chong Joo410513.18