Inductive inference of chaotic series by Genetic Programming

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

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Symposium on Applied Computing archive
Proceedings of the 2005 ACM symposium on Applied computing table of contents

Santa Fe, New Mexico

SESSION: Evolutionary computation and optimization (ECO): poster papers table of contents

Pages: 957 - 958

Year of Publication: 2005

ISBN:1-58113-964-0

Authors

I. De Falco	ICAR-CNR, Naples, Italy
E. Tarantino	ICAR-CNR, Naples, Italy
A. Della Cioppa	University of Salerno, Fisciano (SA), Italy
A. Passaro	University of Pisa, Pisa, Italy

Sponsor

SIGAPP: ACM Special Interest Group on Applied Computing

Publisher

ACM New York, NY, USA

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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.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	John R. Koza, Genetic programming II: automatic discovery of reusable programs, MIT Press, Cambridge, MA, 1994
	2	M. C. Mackey and L. Glass (1977). Oscillations and chaos in physiological control systems. Science, 197:287--289.
	3	R. Solomonoff (1964). A formal theory of inductive inference. Information and Control, 7:1--22, 224--254.
	4	S. H. Strogatz. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering. Reading, MA: Addison-Wesley, 1994.
	5	P. A. Whigham. Grammatically-based genetic programming. In Proc. of the Workshop on Genetic Programming: From Theory to Real-World Applications, pp. 33--41, California, USA, 1995.