Title
Automated Discovery of Polynomials by Inductive Genetic Programming
Abstract
This paper presents an approach to automated discovery of high-order multivariate polynomials by inductive Genetic Programming (iGP). Evolutionary search is used for learning polynomials represented as non-linear multivariate trees. Optimal search performance is pursued with balancing the statistical bias and the variance of iGP. We reduce the bias by extending the set of basis polynomials for better agreement with the examples. Possible overfitting due to the reduced bias is conteracted by a variance component, implemented as a regularizing factor of the error in an MDL fitness function. Experimental results demonstrate that regularized iGP discovers accurate, parsimonious, and predictive polynomials when trained on practical data mining tasks.
Year
DOI
Venue
1999
10.1007/978-3-540-48247-5_58
PKDD
Keywords
Field
DocType
automated discovery,inductive genetic programming,data mining,fitness function
Polynomial,Multivariate statistics,Computer science,Algorithm,Genetic programming,Fitness function,Artificial intelligence,Overfitting,Multivariate analysis,Machine learning,Genetic program,Genetic algorithm
Conference
Volume
ISSN
ISBN
1704
0302-9743
3-540-66490-4
Citations 
PageRank 
References 
9
0.86
6
Authors
2
Name
Order
Citations
PageRank
Nikolay I. Nikolaev111313.68
Hitoshi Iba21541138.51