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@InProceedings{nikolaev:2001:CEC, 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) ", }

Genetic Programming entries for Nikolay Nikolaev Hitoshi Iba