2012
DOI: 10.1007/s11071-012-0667-9
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Mapping some basic functions and operations to multilayer feedforward neural networks for modeling nonlinear dynamical systems and beyond

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Cited by 22 publications
(5 citation statements)
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“…They explained physical meaning of trained networks' parameters for system identification and damage detection purpose. The approach presented in [27,28] is a continuation of Pei's studies, where they presented a developed initialization procedure and neurons' number selection to approximate nonlinear functions in context of restoring force planes identification.…”
Section: Artificial Neural Network-based Model For Identificationmentioning
confidence: 99%
“…They explained physical meaning of trained networks' parameters for system identification and damage detection purpose. The approach presented in [27,28] is a continuation of Pei's studies, where they presented a developed initialization procedure and neurons' number selection to approximate nonlinear functions in context of restoring force planes identification.…”
Section: Artificial Neural Network-based Model For Identificationmentioning
confidence: 99%
“…The nonlinear restoring force is estimated through the displacement and velocity inputs. In Pei et al 147 and Pei and Masri, 148 ANN is used to estimate the displacement and acceleration transmissibility functions as well as the restoring force of a viscous fluid damper. In Ghiasi et al, 149 the ANN and the least square support vector machine (LS-SVM) 150 are employed to detect the damage location and severity.…”
Section: Data Fusion Techniques In Shmmentioning
confidence: 99%
“…More specifically, [11] stated that a three-layered neural network with sigmoidal units in the hidden layer can approximate continuous or other defined functions which can be defined on compact sets with any precision. However, it is worth mentioning that the application of the fundamental approximation has a number of limitations: (i) the selected network architecture is somewhat arbitrarily, and (ii) the performance of neural networks depends on the data used in training and testing [12][13][14][15].…”
Section: Neural Network Algorithmsmentioning
confidence: 99%