Genetic programming (videotape): the movie
Genetic programming (videotape): the movie
Genetic programming using a minimum description length principle
Advances in genetic programming
Evolutionary Modeling of Systems of Ordinary Differential Equations with Genetic Programming
Genetic Programming and Evolvable Machines
Inference of a gene regulatory network by means of interactive evolutionary computing
Information Sciences—Informatics and Computer Science: An International Journal - Bioinformatics-selected papers from 4th CBGI & 6th JCIS Proceedings
Evolutionary modeling and inference of gene network
Information Sciences—Informatics and Computer Science: An International Journal - Bioinformatics-selected papers from 4th CBGI & 6th JCIS Proceedings
Solving differential equations with genetic programming
Genetic Programming and Evolvable Machines
Adaptive Learning of Polynomial Networks: Genetic Programming, Backpropagation and Bayesian Methods (Genetic and Evolutionary Computation)
Inferring Gene Regulatory Networks using Differential Evolution with Local Search Heuristics
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Balancing accuracy and parsimony in genetic programming
Evolutionary Computation
Inference of Differential Equations for Modeling Chemical Reactions
ISNN '09 Proceedings of the 6th International Symposium on Neural Networks on Advances in Neural Networks
Agent-based simulation of competitive and collaborative mechanisms for mobile service chains
Information Sciences: an International Journal
Information Sciences: an International Journal
Time-series forecasting using a system of ordinary differential equations
Information Sciences: an International Journal
Polynomial modeling for time-varying systems based on a particle swarm optimization algorithm
Information Sciences: an International Journal
EuroGP'11 Proceedings of the 14th European conference on Genetic programming
Inferring systems of ordinary differential equations via grammar-based immune programming
ICARIS'11 Proceedings of the 10th international conference on Artificial immune systems
Stochastic system identification by evolutionary algorithms
ICIC'11 Proceedings of the 7th international conference on Intelligent Computing: bio-inspired computing and applications
Evolving estimators of the pointwise Hölder exponent with Genetic Programming
Information Sciences: an International Journal
Inference of hidden variables in systems of differential equations with genetic programming
Genetic Programming and Evolvable Machines
Learning symbolic representations of hybrid dynamical systems
The Journal of Machine Learning Research
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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.