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Q.M. Zhu, L.F. Zhang & A. Longden. (2010) A correlation test-based validity monitoring procedure for online detecting the quality of nonlinear adaptive noise cancellation. International Journal of Systems Science 41:9, pages 1043-1055.
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Read now
H. L. Wei & S. A. Billings. (2006) Long term prediction of non-linear time series using multiresolution wavelet models. International Journal of Control 79:6, pages 569-580.
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Antonio Aguirre & Luis Antonio Aguirre. (2000) Time series analysis of monthly beef cattle prices with nonlinear autoregressive models. Applied Economics 32:3, pages 265-275.
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LUISA. AGUIRRE, EDUARDOM. MENDES & S. A. BILLINGS. (1996) Smoothing data with local instabilities for the identification of chaotic systems. International Journal of Control 63:3, pages 483-505.
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LUIS A. AGUIRRE & S. A. BILLINGS. (1995) Improved structure selection for nonlinear models based on term clustering. International Journal of Control 62:3, pages 569-587.
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Alexander G. Parlos, Kil T. Chong & Amir F. Atiya. (1994) Empirical Model Development and Validation with Dynamic Learning in the Recurrent Multilayer Perceptron. Nuclear Technology 105:2, pages 271-290.
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Articles from other publishers (31)
Luis A. Aguirre. 2024. Lectures on Nonlinear Dynamics. Lectures on Nonlinear Dynamics
133
154
.
Helon Vicente Hultmann Ayala & Leandro dos Santos Coelho. (2016) Cascaded evolutionary algorithm for nonlinear system identification based on correlation functions and radial basis functions neural networks. Mechanical Systems and Signal Processing 68-69, pages 378-393.
Crossref
Crossref
J. R. Ayala Solares & Hua-Liang Wei. (2015) Nonlinear model structure detection and parameter estimation using a novel bagging method based on distance correlation metric. Nonlinear Dynamics 82:1-2, pages 201-215.
Crossref
Crossref
B. Zhang & S.A. Billings. (2015) Identification of continuous-time nonlinear systems: The nonlinear difference equation with moving average noise (NDEMA) framework. Mechanical Systems and Signal Processing 60-61, pages 810-835.
Crossref
Crossref
A. Murari, M. Gelfusa, E. Peluso, P. Gaudio, D. Mazon, N. Hawkes, G. Point, B. Alper & T. Eich. (2014) Improved equilibrium reconstructions by advanced statistical weighting of the internal magnetic measurements. Review of Scientific Instruments 85:12.
Crossref
Crossref
Stephen A Billings. 2013. Nonlinear System Identification. Nonlinear System Identification
119
147
.
A. Murari, D. Mazon, M. Gelfusa, M. Folschette & T. Quilichini. (2011) Residual analysis of the equilibrium reconstruction quality on JET. Nuclear Fusion 51:5, pages 053012.
Crossref
Crossref
M Gelfusa, A Murari, D Patanè, P Gaudio, A Boboc & JET-EFDA Contributors. (2010) Validation of Joint European Torus polarimetric measurements with residual analysis. Measurement Science and Technology 21:11, pages 115704.
Crossref
Crossref
Gang Li, S. Joe Qin, Yindong Ji & Donghua Zhou. (2009) Reconstruction based fault prognosis for continuous processe. IFAC Proceedings Volumes 42:8, pages 1019-1024.
Crossref
Crossref
Dair José de Oliveira, Christophe Letellier, Murilo E.D. Gomes & Luis A. Aguirre. (2008) The use of synthetic input sequences in time series modeling. Physics Letters A 372:32, pages 5276-5282.
Crossref
Crossref
Y. PAN & S. A. BILLINGS. (2011) THE IDENTIFICATION OF COMPLEX SPATIOTEMPORAL PATTERNS USING COUPLED MAP LATTICE MODELS. International Journal of Bifurcation and Chaos 18:04, pages 997-1013.
Crossref
Crossref
Y. PAN, S. A. BILLINGS & Y. ZHAO. (2011) THE IDENTIFICATION OF COUPLED MAP LATTICE MODELS FOR AUTONOMOUS CELLULAR NEURAL NETWORK PATTERNS. International Journal of Bifurcation and Chaos 18:04, pages 985-996.
Crossref
Crossref
A. Di Bella, S. Graziani, G. Napoli & M.G. Xibilia. (2007) Selection of regressors using correlation analysis to design a Virtual Instrument for an SRU of a refinery. Selection of regressors using correlation analysis to design a Virtual Instrument for an SRU of a refinery.
M. Enqvist, J. Schoukens & R. Pintelon. (2007) Detection of Unmodeled Nonlinearities Using Correlation Methods. Detection of Unmodeled Nonlinearities Using Correlation Methods.
Katya Rodríguez-Vázquez & Peter J. Fleming. (2005) Evolution of mathematical models of chaotic systems based on multiobjective genetic programming. Knowledge and Information Systems 8:2, pages 235-256.
Crossref
Crossref
J. Schoukens, R. Pintelon, T. Dobrowiecki & Y. Rolain. (2003) Identification of Linear Systems with Nonlinear Distortions. IFAC Proceedings Volumes 36:16, pages 1723-1734.
Crossref
Crossref
Astrid Lundgren & Jonas Sjöberg. (2003) Gaussian processes framework for validation of linear and nonlinear models 1. IFAC Proceedings Volumes 36:16, pages 67-72.
Crossref
Crossref
E.M.A.M. Mendez & S.A. Billings. (2001) An alternative solution to the model structure selection problem. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 31:6, pages 597-608.
Crossref
Crossref
J.C. Lopes, A.E. Ruano & P.J. Fleming. (2000) Identification of Aircraft Gas-Turbine Dynamics using B-splines Neural Networks. IFAC Proceedings Volumes 33:6, pages 123-128.
Crossref
Crossref
K. Rodriguez-Vazquez & P.J. Fleming. (1999) Genetic programming for dynamic chaotic systems modelling. Genetic programming for dynamic chaotic systems modelling.
J. Schoukens, T. Dobrowiecki & R. Pintelon. (1998) Parametric and nonparametric identification of linear systems in the presence of nonlinear distortions-a frequency domain approach. IEEE Transactions on Automatic Control 43:2, pages 176-190.
Crossref
Crossref
J.-M. Poggi & B. Portier. (1998) Testing Linearity for NARX Models. European Journal of Control 4:4, pages 298-305.
Crossref
Crossref
Eduardo Mazoni & A.M. Mendes. (1997) On High Order Correlation Tests for Detecting Missing Structure of Nonlinear Global Models Identified from Chaotic Data. IFAC Proceedings Volumes 30:11, pages 705-710.
Crossref
Crossref
R. Pintelon, J. Schoukens & G. Vandersteen. (1997) Model selection through a statistical analysis of the global minimum of a weighted nonlinear least squares cost function. IEEE Transactions on Signal Processing 45:3, pages 686-693.
Crossref
Crossref
R. Pintelon, J. Schoukens & G. Vandersteen. (1996) Model selection through a statistical analysis of the global minimum of a weighted non-linear least squares cost function. Model selection through a statistical analysis of the global minimum of a weighted non-linear least squares cost function.
Luis Antonio Aguirre. (1995) A nonlinear correlation function for selecting the delay time in dynamical reconstructions. Physics Letters A 203:2-3, pages 88-94.
Crossref
Crossref
Luis Antonio Aguirre & S.A. Billings. (1995) Identification of models for chaotic systems from noisy data: implications for performance and nonlinear filtering. Physica D: Nonlinear Phenomena 85:1-2, pages 239-258.
Crossref
Crossref
D.J. Christini, F.H. Bennett, K.R. Lutchen, H.M. Ahmed, J.M. Hausdorff & N. Oriol. (1995) Application of linear and nonlinear time series modeling to heart rate dynamics analysis. IEEE Transactions on Biomedical Engineering 42:4, pages 411-415.
Crossref
Crossref
A.G. Parlos, K.T. Chong & A.F. Atiya. (1994) Application of the recurrent multilayer perceptron in modeling complex process dynamics. IEEE Transactions on Neural Networks 5:2, pages 255-266.
Crossref
Crossref
K.J. Pope & P.J.W. Rayner. (1994) Non-linear system identification using Bayesian inference. Non-linear system identification using Bayesian inference.
Makoto Noshiro, Minoru Furuya, Derek Linkens & Kevin Goode. (1993) Nonlinear identification of the Pco2 control system in man. Computer Methods and Programs in Biomedicine 40:3, pages 189-202.
Crossref
Crossref