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Bayesian Inference for Basis Function Selection in Nonlinear System Identification using Genetic Algorithms

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Part of the book series: Fundamental Theories of Physics ((FTPH,volume 70))

Abstract

In this paper, an algorithm to determine the most probable model, amongst a large number of models formed with a set of wider class of basis functions, based on Bayesian model comparison is developed. The models consist of linear coefficients and nonlinear basis functions, which may themselves be parametrised, with different models constructed with different subsets of basis functions. By a suitable encoding, genetic algorithms are used to search over the space of all possible subsets of basis functions to determine the most probable model that describes the given observations.

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© 1996 Kluwer Academic Publishers

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Kadirkamanathan, V. (1996). Bayesian Inference for Basis Function Selection in Nonlinear System Identification using Genetic Algorithms. In: Skilling, J., Sibisi, S. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 70. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0107-0_15

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  • DOI: https://doi.org/10.1007/978-94-009-0107-0_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6534-4

  • Online ISBN: 978-94-009-0107-0

  • eBook Packages: Springer Book Archive

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