Nonlinear modeling with confidence estimation using Bayesian neural networks

There is a growing interest in the use of neural networks in civil engineering to model complicated nonlinearity problems. A recent enhancement to the conventional back-propagation neural network algorithm is the adoption of a Bayesian inference procedure that provides good generalization and a sta...

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Main Authors: A.T.C. Goh, C.G. Chua
Format: Article
Language:English
Published: Electronic Journals for Science and Engineering - International 2004-01-01
Series:Electronic Journal of Structural Engineering
Subjects:
Online Access:http://10.0.0.97/EJSE/article/view/45
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author A.T.C. Goh
C.G. Chua
author_facet A.T.C. Goh
C.G. Chua
author_sort A.T.C. Goh
collection DOAJ
description There is a growing interest in the use of neural networks in civil engineering to model complicated nonlinearity problems. A recent enhancement to the conventional back-propagation neural network algorithm is the adoption of a Bayesian inference procedure that provides good generalization and a statistical approach to deal with data uncertainty. A review of the Bayesian approach for neural network learning is presented. One distinct advantage of this method over the conventional back-propagation method is that the algorithm is able to provide assessments of the confidence associated with the  network’s predictions. Two examples are presented to demonstrate the capabilities of this algorithm. A third example considers the practical application of the Bayesian neural network approach for analyzing the ultimate shear strength of deep beams.
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spelling doaj.art-2902a762d8b142df84fca44335c831b72023-08-29T11:47:50ZengElectronic Journals for Science and Engineering - InternationalElectronic Journal of Structural Engineering1443-92552004-01-014Nonlinear modeling with confidence estimation using Bayesian neural networksA.T.C. Goh0C.G. Chua1Nanyang Technological University Nanyang Technological University There is a growing interest in the use of neural networks in civil engineering to model complicated nonlinearity problems. A recent enhancement to the conventional back-propagation neural network algorithm is the adoption of a Bayesian inference procedure that provides good generalization and a statistical approach to deal with data uncertainty. A review of the Bayesian approach for neural network learning is presented. One distinct advantage of this method over the conventional back-propagation method is that the algorithm is able to provide assessments of the confidence associated with the  network’s predictions. Two examples are presented to demonstrate the capabilities of this algorithm. A third example considers the practical application of the Bayesian neural network approach for analyzing the ultimate shear strength of deep beams. http://10.0.0.97/EJSE/article/view/45Back-propagation neural networkBayesian neural networkDeep beamsNeural networkNon-linear modelingUncertainty
spellingShingle A.T.C. Goh
C.G. Chua
Nonlinear modeling with confidence estimation using Bayesian neural networks
Electronic Journal of Structural Engineering
Back-propagation neural network
Bayesian neural network
Deep beams
Neural network
Non-linear modeling
Uncertainty
title Nonlinear modeling with confidence estimation using Bayesian neural networks
title_full Nonlinear modeling with confidence estimation using Bayesian neural networks
title_fullStr Nonlinear modeling with confidence estimation using Bayesian neural networks
title_full_unstemmed Nonlinear modeling with confidence estimation using Bayesian neural networks
title_short Nonlinear modeling with confidence estimation using Bayesian neural networks
title_sort nonlinear modeling with confidence estimation using bayesian neural networks
topic Back-propagation neural network
Bayesian neural network
Deep beams
Neural network
Non-linear modeling
Uncertainty
url http://10.0.0.97/EJSE/article/view/45
work_keys_str_mv AT atcgoh nonlinearmodelingwithconfidenceestimationusingbayesianneuralnetworks
AT cgchua nonlinearmodelingwithconfidenceestimationusingbayesianneuralnetworks