A regularized stochastic configuration network based on weighted mean of vectors for regression

The stochastic configuration network (SCN) randomly configures the input weights and biases of hidden layers under a set of inequality constraints to guarantee its universal approximation property. The SCN has demonstrated great potential for fast and efficient data modeling. However, the prediction...

Full description

Bibliographic Details
Main Authors: Yang Wang, Tao Zhou, Guanci Yang, Chenglong Zhang, Shaobo Li
Format: Article
Language:English
Published: PeerJ Inc. 2023-05-01
Series:PeerJ Computer Science
Subjects:
Online Access:https://peerj.com/articles/cs-1382.pdf
_version_ 1797814009022382080
author Yang Wang
Tao Zhou
Guanci Yang
Chenglong Zhang
Shaobo Li
author_facet Yang Wang
Tao Zhou
Guanci Yang
Chenglong Zhang
Shaobo Li
author_sort Yang Wang
collection DOAJ
description The stochastic configuration network (SCN) randomly configures the input weights and biases of hidden layers under a set of inequality constraints to guarantee its universal approximation property. The SCN has demonstrated great potential for fast and efficient data modeling. However, the prediction accuracy and convergence rate of SCN are frequently impacted by the parameter settings of the model. The weighted mean of vectors (INFO) is an innovative swarm intelligence optimization algorithm, with an optimization procedure consisting of three phases: updating rule, vector combining, and a local search. This article aimed at establishing a new regularized SCN based on the weighted mean of vectors (RSCN-INFO) to optimize its parameter selection and network structure. The regularization term that combines the ridge method with the residual error feedback was introduced into the objective function in order to dynamically adjust the training parameters. Meanwhile, INFO was employed to automatically explore an appropriate four-dimensional parameter vector for RSCN. The selected parameters may lead to a compact network architecture with a faster reduction of the network residual error. Simulation results over some benchmark datasets demonstrated that the proposed RSCN-INFO showed superior performance with respect to parameter setting, fast convergence, and network compactness compared with other contrast algorithms.
first_indexed 2024-03-13T08:01:10Z
format Article
id doaj.art-6c2af6ed9d344a3eabe703cd69c97ee0
institution Directory Open Access Journal
issn 2376-5992
language English
last_indexed 2024-03-13T08:01:10Z
publishDate 2023-05-01
publisher PeerJ Inc.
record_format Article
series PeerJ Computer Science
spelling doaj.art-6c2af6ed9d344a3eabe703cd69c97ee02023-06-01T15:05:04ZengPeerJ Inc.PeerJ Computer Science2376-59922023-05-019e138210.7717/peerj-cs.1382A regularized stochastic configuration network based on weighted mean of vectors for regressionYang Wang0Tao Zhou1Guanci Yang2Chenglong Zhang3Shaobo Li4State Key Laboratory of Public Big Data, Guizhou University, Guiyang, Guizhou, ChinaState Key Laboratory of Public Big Data, Guizhou University, Guiyang, Guizhou, ChinaKey Laboratory of Advanced Manufacturing Technology of the Ministry of Education, Guizhou University, Guiyang, Guizhou, ChinaSchool of Computer Science and Technology, China University of Mining and Technology, Xuzhou, Jiangsu, ChinaState Key Laboratory of Public Big Data, Guizhou University, Guiyang, Guizhou, ChinaThe stochastic configuration network (SCN) randomly configures the input weights and biases of hidden layers under a set of inequality constraints to guarantee its universal approximation property. The SCN has demonstrated great potential for fast and efficient data modeling. However, the prediction accuracy and convergence rate of SCN are frequently impacted by the parameter settings of the model. The weighted mean of vectors (INFO) is an innovative swarm intelligence optimization algorithm, with an optimization procedure consisting of three phases: updating rule, vector combining, and a local search. This article aimed at establishing a new regularized SCN based on the weighted mean of vectors (RSCN-INFO) to optimize its parameter selection and network structure. The regularization term that combines the ridge method with the residual error feedback was introduced into the objective function in order to dynamically adjust the training parameters. Meanwhile, INFO was employed to automatically explore an appropriate four-dimensional parameter vector for RSCN. The selected parameters may lead to a compact network architecture with a faster reduction of the network residual error. Simulation results over some benchmark datasets demonstrated that the proposed RSCN-INFO showed superior performance with respect to parameter setting, fast convergence, and network compactness compared with other contrast algorithms.https://peerj.com/articles/cs-1382.pdfStochastic configuration networksSwarm intelligence optimizationWeighted mean of vectorsResidual error feedback
spellingShingle Yang Wang
Tao Zhou
Guanci Yang
Chenglong Zhang
Shaobo Li
A regularized stochastic configuration network based on weighted mean of vectors for regression
PeerJ Computer Science
Stochastic configuration networks
Swarm intelligence optimization
Weighted mean of vectors
Residual error feedback
title A regularized stochastic configuration network based on weighted mean of vectors for regression
title_full A regularized stochastic configuration network based on weighted mean of vectors for regression
title_fullStr A regularized stochastic configuration network based on weighted mean of vectors for regression
title_full_unstemmed A regularized stochastic configuration network based on weighted mean of vectors for regression
title_short A regularized stochastic configuration network based on weighted mean of vectors for regression
title_sort regularized stochastic configuration network based on weighted mean of vectors for regression
topic Stochastic configuration networks
Swarm intelligence optimization
Weighted mean of vectors
Residual error feedback
url https://peerj.com/articles/cs-1382.pdf
work_keys_str_mv AT yangwang aregularizedstochasticconfigurationnetworkbasedonweightedmeanofvectorsforregression
AT taozhou aregularizedstochasticconfigurationnetworkbasedonweightedmeanofvectorsforregression
AT guanciyang aregularizedstochasticconfigurationnetworkbasedonweightedmeanofvectorsforregression
AT chenglongzhang aregularizedstochasticconfigurationnetworkbasedonweightedmeanofvectorsforregression
AT shaoboli aregularizedstochasticconfigurationnetworkbasedonweightedmeanofvectorsforregression
AT yangwang regularizedstochasticconfigurationnetworkbasedonweightedmeanofvectorsforregression
AT taozhou regularizedstochasticconfigurationnetworkbasedonweightedmeanofvectorsforregression
AT guanciyang regularizedstochasticconfigurationnetworkbasedonweightedmeanofvectorsforregression
AT chenglongzhang regularizedstochasticconfigurationnetworkbasedonweightedmeanofvectorsforregression
AT shaoboli regularizedstochasticconfigurationnetworkbasedonweightedmeanofvectorsforregression