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Automatic differential equations identification by self-configuring genetic programming algorithm

Published under licence by IOP Publishing Ltd
, , Citation T S Karaseva 2020 IOP Conf. Ser.: Mater. Sci. Eng. 734 012093 DOI 10.1088/1757-899X/734/1/012093

1757-899X/734/1/012093

Abstract

The paper considers a reduction of differential equations identification problem to the symbolic regression task. The current approach allows automatic determining the structure of a differential equation via the usage of the self-configuring genetic programming algorithm. The a priori information needed is only the dynamic system initial point and the sample of input and output effects. The stability of the proposed approach to the presence of noise in the sample and the small amount of data is investigated.

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