A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Spatiotemporal chaos in one-and two-dimensional coupled map lattices
Proceedings of the eighth annual international conference of the Center for Nonlinear Studies on Advances in fluid turbulence
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Adaptive modelling, estimation and fusion from data: a neurofuzzy approach
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International Journal of Systems Science
Wavelet based non-parametric NARX models for nonlinear input-output system identification
International Journal of Systems Science
Matching pursuits with time-frequency dictionaries
IEEE Transactions on Signal Processing
Wavelet neural networks for function learning
IEEE Transactions on Signal Processing
The particle swarm - explosion, stability, and convergence in amultidimensional complex space
IEEE Transactions on Evolutionary Computation
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IEEE Transactions on Evolutionary Computation
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IEEE Transactions on Evolutionary Computation
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IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Sparse modeling using orthogonal forward regression with PRESS statistic and regularization
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Prediction and identification using wavelet-based recurrent fuzzy neural networks
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Using wavelet network in nonparametric estimation
IEEE Transactions on Neural Networks
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Objective functions for training new hidden units in constructive neural networks
IEEE Transactions on Neural Networks
Signal detection using the radial basis function coupled map lattice
IEEE Transactions on Neural Networks
Focused local learning with wavelet neural networks
IEEE Transactions on Neural Networks
Orthogonal least squares learning algorithm for radial basis function networks
IEEE Transactions on Neural Networks
Backstepping wavelet neural network control for indirect field-oriented induction motor drive
IEEE Transactions on Neural Networks
Adaptive neural control for a class of nonlinearly parametric time-delay systems
IEEE Transactions on Neural Networks
A new class of wavelet networks for nonlinear system identification
IEEE Transactions on Neural Networks
Spatial-temporal modeling of malware propagation in networks
IEEE Transactions on Neural Networks
Adaptive wavelet neural network control with hysteresis estimation for piezo-positioning mechanism
IEEE Transactions on Neural Networks
Universal approximation using incremental constructive feedforward networks with random hidden nodes
IEEE Transactions on Neural Networks
Nonlinear spatial-temporal prediction based on optimal fusion
IEEE Transactions on Neural Networks
Wavelet Adaptive Backstepping Control for a Class of Nonlinear Systems
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Nonlinear Adaptive Wavelet Control Using Constructive Wavelet Networks
IEEE Transactions on Neural Networks
Analysis and synthesis of feedforward neural networks using discrete affine wavelet transformations
IEEE Transactions on Neural Networks
Regression modeling in back-propagation and projection pursuit learning
IEEE Transactions on Neural Networks
Accuracy analysis for wavelet approximations
IEEE Transactions on Neural Networks
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Human lower extremity joint moment prediction: A wavelet neural network approach
Expert Systems with Applications: An International Journal
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Starting from the basic concept of coupled map lattices, a new family of adaptive wavelet neural networks (AWNN) is introduced for spatio-temporal system identification, by combining an efficient wavelet representation with a coupled map lattice model. A new orthogonal projection pursuit (OPP) method, coupled with a particle swarm optimization (PSO) algorithm, is proposed for augmenting the proposed network. A novel two-stage hybrid training scheme is developed for constructing a parsimonious network model. In the first stage, by applying the orthogonal projection pursuit algorithm, significant wavelet neurons are adaptively and successively recruited into the network, where adjustable parameters of the associated wavelet neurons are optimized using a particle swarm optimizer. The resultant network model, obtained in the first stage, may however be redundant. In the second stage, an orthogonal least squares algorithm is then applied to refine and improve the initially trained network by removing redundant wavelet neurons from the network. The proposed two-stage hybrid training procedure can generally produce a parsimonious network model, where a ranked list of wavelet neurons, according to the capability of each neuron to represent the total variance in the system output signal is produced. Two spatio-temporal system identification examples are presented to demonstrate the performance of the proposed new modelling framework.