ASMOD
ASMOD -- An algorithm for adaptive spline modelling of observation data Nonlinear system identification by modelling the underlying relationships in observation data is an important application area for artificial neural networks and other learning paradigms. Splines have been used for scattered data interpolation, but the applications have mainly been restricted to low dimensional input spaces. This paper describes ASMOD, a new learning paradigm for higher-dimensional data $(>3)$ based on $B$-spline interpolation. The models can be trained online, and a method for step-wise model refinement is applied during model training for gradually increasing the modelling capability until the desired or best possible accuracy is obtained. For every refinement step a number of possible refinement actions are evaluated, and the one that gives the highest improvement of the model accuracy is chosen. The model structure is hence adapted to the modelling problem, giving a model a small size and high accuracy. ASMOD has very efficient implementations on serial computers. The scheme is evaluated on a problem designed for MARS and the results compare favourably with MARS. The method is also used to model the actuator dynamics of a hydraulic robot manipulator, and significant improvements in dynamic accuracy in the manipulator control are obtained.
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References in zbMATH (referenced in 14 articles , 1 standard article )
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Sorted by year (- Hong, X.; Mitchell, R.J.; Chen, S.; Harris, C.J.; Li, K.; Irwin, G.W.: Model selection approaches for non-linear system identification: a review (2008)
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- Billings, S.A.; Wei, H.L.: The wavelet-NARMAX representation: a hybrid model structure combining polynomial models with multiresolution wavelet decompositions (2005)
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- Chan, C. W.; Chan, W. C.; Jayawardena, A. W.; Harris, C. J.: Structure selection of neurofuzzy networks based on support vector regression. (2002)
- Er, Meng Joo; Wu, Shiqian: A fast learning algorithm for parsimonious fuzzy neural systems (2002)
- Ruano, A. E.; Cabrita, C.; Oliveira, J. V.; Kóczy, L. T.: Supervised training algorithms for B-spline neural networks and neuro-fuzzy systems. (2002)
- Billings, S.A.; Coca, D.: Discrete wavelet models for identification and qualitative analysis of chaotic systems (1999)
- Berger, C.S.: Modelling dynamic systems using finite elements (1997)
- Gollee, H.; Hunt, K.J.: Nonlinear modelling and control of electrically stimulated muscle: A local model network approach (1997)
- Weyer, Erik; Kavli, Tom: Theoretical properties of the ASMOD algorithm for empirical modelling (1997)
- Chen, S.; Chang, E.S.; Alkadhimi, K.: Regularized orthogonal least squares algorithm for constructing radial basis function networks (1996)
- Kavli, Tom: ASMOD -- an algorithm for adapative spline modelling of observation data (1994)
- Kavli, Tom: ASMOD -- An algorithm for adaptive spline modelling of observation data (1993)