TY - GEN
T1 - Fourier series neural networks for regression
AU - Wang, Yung Ming
AU - Huang, Li Jeng
N1 - Publisher Copyright:
© 2018 IEEE.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/6/22
Y1 - 2018/6/22
N2 - An innovative efficient and fast neural networks in which hidden neurons are constructed based on Fourier series expansions (FSNN), half-range cosine (FCSNN) and sine expansions (FSSNN) are proposed and tested for linear and nonlinear regulation problems. The results of numerical examples using FSNN are compared with those obtained from traditional linear regression (LP), nonlinear regression (NLP), backward propagation neural networks (BPANN) and radial basis function neural networks (RBFNN). The results obtained from FSNN agree well with those obtained from LP, NLP, BPANN and RBFNN and show global approximation features to the fitting data. Only a few hidden neurons are required to obtain very good and fast convergence of regression as compared with BPANN and RBFNN.
AB - An innovative efficient and fast neural networks in which hidden neurons are constructed based on Fourier series expansions (FSNN), half-range cosine (FCSNN) and sine expansions (FSSNN) are proposed and tested for linear and nonlinear regulation problems. The results of numerical examples using FSNN are compared with those obtained from traditional linear regression (LP), nonlinear regression (NLP), backward propagation neural networks (BPANN) and radial basis function neural networks (RBFNN). The results obtained from FSNN agree well with those obtained from LP, NLP, BPANN and RBFNN and show global approximation features to the fitting data. Only a few hidden neurons are required to obtain very good and fast convergence of regression as compared with BPANN and RBFNN.
UR - http://www.scopus.com/inward/record.url?scp=85050259875&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85050259875&partnerID=8YFLogxK
U2 - 10.1109/ICASI.2018.8394358
DO - 10.1109/ICASI.2018.8394358
M3 - Conference contribution
AN - SCOPUS:85050259875
T3 - Proceedings of 4th IEEE International Conference on Applied System Innovation 2018, ICASI 2018
SP - 716
EP - 719
BT - Proceedings of 4th IEEE International Conference on Applied System Innovation 2018, ICASI 2018
A2 - Lam, Artde Donald Kin-Tak
A2 - Prior, Stephen D.
A2 - Meen, Teen-Hang
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 4th IEEE International Conference on Applied System Innovation, ICASI 2018
Y2 - 13 April 2018 through 17 April 2018
ER -