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Inductive inference of chaotic series by Genetic Programming: a Solomonoff-based approach

, , , and . Proceedings of the 2005 ACM Symposium on Applied Computing (SAC), page 957--958. Santa Fe, New Mexico, USA, ACM, (March 2005)

Abstract

A Genetic Programming approach to inductive inference of chaotic series, with reference to Solomonoff complexity, is presented. It consists in evolving a population of mathematical expressions looking for the 'optimal' one that generates a given chaotic data series. Validation is performed on the Logistic, the Henon and the Mackey-Glass series. The method is shown effective in obtaining the analytical expression of the first two series, and in achieving very good results on the third one.

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