Estimation of Radial Basis Function Network Centers via Information Forces

The determination of The Radial Basis Function Network centers is an open problem. This work determines the cluster centers by a proposed gradient algorithm, using the information forces acting on each data point. These centers are applied to a Radial Basis Function Network for data classification....

Full description

Bibliographic Details
Main Authors: Edilson Sousa Júnior, Antônio Freitas, Ricardo Rabelo, Welflen Santos
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/10/1347
_version_ 1797473457560092672
author Edilson Sousa Júnior
Antônio Freitas
Ricardo Rabelo
Welflen Santos
author_facet Edilson Sousa Júnior
Antônio Freitas
Ricardo Rabelo
Welflen Santos
author_sort Edilson Sousa Júnior
collection DOAJ
description The determination of The Radial Basis Function Network centers is an open problem. This work determines the cluster centers by a proposed gradient algorithm, using the information forces acting on each data point. These centers are applied to a Radial Basis Function Network for data classification. A threshold is established based on Information Potential to classify the outliers. The proposed algorithms are analysed based on databases considering the number of clusters, overlap of clusters, noise, and unbalance of cluster sizes. Combined, the threshold, and the centers determined by information forces, show good results in comparison to a similar Network with a k-means clustering algorithm.
first_indexed 2024-03-09T20:15:43Z
format Article
id doaj.art-a0f628338094499b89c18fd22aecb354
institution Directory Open Access Journal
issn 1099-4300
language English
last_indexed 2024-03-09T20:15:43Z
publishDate 2022-09-01
publisher MDPI AG
record_format Article
series Entropy
spelling doaj.art-a0f628338094499b89c18fd22aecb3542023-11-24T00:02:10ZengMDPI AGEntropy1099-43002022-09-012410134710.3390/e24101347Estimation of Radial Basis Function Network Centers via Information ForcesEdilson Sousa Júnior0Antônio Freitas1Ricardo Rabelo2Welflen Santos3Technology Center, Universidade Federal do Piauí, Teresina 64049-550, PI, BrazilTechnology Center, Universidade Federal do Piauí, Teresina 64049-550, PI, BrazilTechnology Center, Universidade Federal do Piauí, Teresina 64049-550, PI, BrazilTechnology Center, Universidade Federal do Piauí, Teresina 64049-550, PI, BrazilThe determination of The Radial Basis Function Network centers is an open problem. This work determines the cluster centers by a proposed gradient algorithm, using the information forces acting on each data point. These centers are applied to a Radial Basis Function Network for data classification. A threshold is established based on Information Potential to classify the outliers. The proposed algorithms are analysed based on databases considering the number of clusters, overlap of clusters, noise, and unbalance of cluster sizes. Combined, the threshold, and the centers determined by information forces, show good results in comparison to a similar Network with a k-means clustering algorithm.https://www.mdpi.com/1099-4300/24/10/1347information theoryEntropyRadial Basis Functions Networksclassificationclustering and outliers
spellingShingle Edilson Sousa Júnior
Antônio Freitas
Ricardo Rabelo
Welflen Santos
Estimation of Radial Basis Function Network Centers via Information Forces
Entropy
information theory
Entropy
Radial Basis Functions Networks
classification
clustering and outliers
title Estimation of Radial Basis Function Network Centers via Information Forces
title_full Estimation of Radial Basis Function Network Centers via Information Forces
title_fullStr Estimation of Radial Basis Function Network Centers via Information Forces
title_full_unstemmed Estimation of Radial Basis Function Network Centers via Information Forces
title_short Estimation of Radial Basis Function Network Centers via Information Forces
title_sort estimation of radial basis function network centers via information forces
topic information theory
Entropy
Radial Basis Functions Networks
classification
clustering and outliers
url https://www.mdpi.com/1099-4300/24/10/1347
work_keys_str_mv AT edilsonsousajunior estimationofradialbasisfunctionnetworkcentersviainformationforces
AT antoniofreitas estimationofradialbasisfunctionnetworkcentersviainformationforces
AT ricardorabelo estimationofradialbasisfunctionnetworkcentersviainformationforces
AT welflensantos estimationofradialbasisfunctionnetworkcentersviainformationforces