Journal
INFORMATION SCIENCES
Volume 178, Issue 23, Pages 4453-4468Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2008.07.029
Keywords
Genetic programming; Ordinary differential equations; Genome informatics
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This paper describes an evolutionary method for identifying a causal model from the observed time-series data. We use a system of ordinary differential equations (ODEs) as the causal model. This approach is known to be useful for practical applications, e.g., bioinformatics, chemical reaction models, control theory, etc. To explore the search space more effectively in the course of evolution, the right-hand sides of ODEs are inferred by genetic programming (GP) and the least mean square (LMS) method is used along with the ordinary GP. We apply our method to several target tasks and empirically show how successfully GP infers the systems of ODEs. We also describe an extension of the approach to the inference of differential equation systems with transcendental functions. (C) 2008 Elsevier Inc. All rights reserved.
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