Title Evolutionary product unit based neural networks for regression
Authors MARTÍNEZ ESTUDILLO, ALFONSO CARLOS, MARTÍNEZ ESTUDILLO, FRANCISCO JOSÉ, Hervas-Martinez, Cesar , Garcia-Pedrajas, Nicolas
External publication No
Means Neural Networks
Scope Article
Nature Científica
JCR Quartile 1
SJR Quartile 1
JCR Impact 2
SJR Impact 0.757
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-33744937909&doi=10.1016%2fj.neunet.2005.11.001&partnerID=40&md5=bac8e37da4e5c0bf3f110c6df6ba3132
Publication date 01/05/2006
ISI 000238884300011
Scopus Id 2-s2.0-33744937909
DOI 10.1016/j.neunet.2005.11.001
Abstract This paper presents a new method for regression based on the evolution of a type of feed-forward neural networks whose basis function units are products of the inputs raised to real number power. These nodes are usually called product units. The main advantage of product units is their capacity for implementing higher order functions.\n Nevertheless, the training of product unit based networks poses several problems, since local learning algorithms are not suitable for these networks due to the existence of many local minima on the error surface. Moreover, it is unclear how to establish the structure of the network since, hitherto, all learning methods described in the literature deal only with parameter adjustment. In this paper, we propose a model of evolution of product unit based networks to overcome these difficulties. The proposed model evolves both the weights and the structure of these networks by means of an evolutionary programming algorithm.\n The performance of the model is evaluated in five widely used benchmark functions and a hard real-world problem of microbial growth modeling. Our evolutionary model is compared to a multistart technique combined with a Levenberg-Marquarch algorithm and shows better overall performance in the benchmark functions as well as the real-world problem. (c) 2006 Elsevier Ltd. All rights reserved.
Keywords product units; regression; evolutionary computation
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