- author = "Nikolay Nikolaev and Hitoshi Iba",
- title = "Genetic Programming of Polynomial Harmonic Models using the Discrete Fourier Transform",
- booktitle = "Proceedings of the 2001 Congress on Evolutionary Computation CEC2001",
- year = "2001",
- pages = "267--274",
- address = "COEX, World Trade Center, 159 Samseong-dong, Gangnam-gu, Seoul, Korea",
- publisher_address = "445 Hoes Lane, P.O. Box 1331, Piscataway, NJ 08855-1331, USA",
- month = "27-30 " # may,
- organisation = "IEEE Neural Network Council (NNC), Evolutionary Programming Society (EPS), Institution of Electrical Engineers (IEE)",
- publisher = "IEEE Press",
- keywords = "genetic algorithms, genetic programming, regularization, time series prediction, STROGANOFF, GMDH network, discrete Fourier transform, hybrid tree-structured network representation, irregular frequencies, overfitting avoidance, polynomial function nodes, polynomial harmonic, polynomial harmonic models, regularized statistical fitness function, search control, terminal harmonics, discrete Fourier transforms, polynomials",
- ISBN = "0-7803-6658-1",
-
DOI = "
doi:10.1109/CEC.2001.934400",
- size = "8 pages",
- abstract = "This paper presents a Genetic Programming (GP) system that evolves polynomial harmonic networks. The hybrid tree-structured network representation suggests that terminal harmonics with non-multiple frequencies may enter polynomial function nodes as variables. The harmonics with non-multiple, irregular frequencies are derived analytically using the discrete Fourier transform. The development of polynomial harmonic GP includes also design of a regularised statistical fitness function for improved search control and overfitting avoidance. Empirical results show that this hybrid version outperforms the previous GP system manipulating polynomials STROGANOFF, the traditional Koza-style GP, and the harmonic GMDH network algorithm on processing time series",
-
notes = "CEC-2001 - A joint meeting of the IEEE, Evolutionary
Programming Society, Galesia, and the IEE.
IEEE Catalog Number = 01TH8546C,
Library of Congress Number = .
overfitting avoidance. polynomial harmonic GP. Tested on Mackey-Glass, Sunspots, Yen-Dollar exchange rate prediction, time lags Complexity penalty, Akaike fitness multipled by (N+M)/(N-M)
",
