**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31442

##### A New Approach to Polynomial Neural Networks based on Genetic Algorithm

**Authors:**
S. Farzi

**Abstract:**

**Keywords:**
GMDH,
GPNN,
GA,
PNN.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1331219

**References:**

[1] A.G. Ivahnenko, Polynomial theory of complex systems, IEEE Trans. Syst., Man Cybern.SMC-1,1971,pp.364-378.

[2] S.J. Farlow, The GMDH algorithm, in: S.J. Farlow (Ed.), Selforganizing Methods in Modeling: GMDH Type Algorithms, Marcel Dekker, New York, 1984, pp. 1-24.

[3] S.-K. Oh, D.-W. Kim, and B.-J. Park, "A study on the optimal design of polynomial neural networks structure," The Trans. of the Korean Institute of Electrical Engineers,2001, vol. 49d, no. 3, pp.365-396.

[4] G. Ivahnenko, "The group method of data handling: a rival of method of stochastic approximation," Soviet Automatic Control, 1968, vol.13, no. 3, pp. 43-55.

[5] D. E. Goldberg, "Genetic Algorithms in Search, Optimization & Machine Learning", Addison Wesley, 1989.

[6] B.-J. Park, S.-K. Oh, and W. Pedrycz, "The hybrid multi-layer inference architecture and algorithm of FPNN based on FNN and PNN," Joint 9th IFSA World Congress, 2001, pp. 1361-1366.

[7] S.-K. Oh, T.-C. Ahn, and W. Pedrycz, "A study on the selforganizing polynomial neural net works," Joint 9th IFSA World Congress, , 2001, pp.1690-1695.

[8] S.K. Oh, W.pedrycz, and B.J. Park, "polynomial neural networks architecture: Analysis and design," comput.Electr. Eng., ,2003, vol.29, no.6, pp.703-725.

[9] Oh S-K, Pedrycz W, Ahn T-C. "Self-organizing neural networks with fuzzy polynomial neurons". Appl Soft Comput 2002.

[10] Oh S-K, Pedrycz W. "The design of self-organizing polynomial neural networks". Inf Sci 2002, pp.237-258.

[11] Oh S-K, Pedrycz W. "Fuzzy polynomial neuron-based selforganizing neural networks". Int J Gen Syst 2003, pp.237-250.

[12] Oh S-K, Pedrycz W. "Self-organizing polynomial neural networks based on PNs or FPNs: analysis and design. Fuzzy Sets" Syst, 2004, pp.:163-198.

[13] Hayashi, H. Tanaka, "The Fuzzy GMDH algorithm by possibility models and its application," Fuzzy Sets and Systems 36, 1990, pp.245-258.

[14] S.-K. Oh, D.-W. Kim and B.-J. Park, "A study on the optimal design of polynomial neural networks structure," The Trans. of the Korean Institute of Electrical Engineers, 2000 (in Korean),vol. 49d, no. 3, pp. 145-156.

[15] G. Ivahnenko, "The group method of data handling: a rival of method of stochastic approximation," Soviet Automatic Control, 1968, vol.13, no. 3, pp. 43-55.

[16] D. E. Goldberg, Genetic Algorithms in Search, Optimization & Machine Learning, Addison -Wesley, 1989.

[17] M. Bishop, Neural Networks for Pattern Recognition, Oxford Univ. Press, 1995.

[18] B.-J. Park, W. Pedrycz, and S.-K. Oh "Fuzzy polynomial neural networks: hybrid architectures of fuzzy modeling," IEEE Trans. on Fuzzy Systems, October 2002, vol. 10, no. 5, pp. 607-621.