Numerical integration based on evolutionary functional network

Yanlian Du; Yongquan Zhou

doi:10.1117/12.2010613

14 March 2013 Numerical integration based on evolutionary functional network

Yanlian Du, Yongquan Zhou

Proceedings Volume 8768, International Conference on Graphic and Image Processing (ICGIP 2012); 87680F (2013) https://doi.org/10.1117/12.2010613
Event: 2012 International Conference on Graphic and Image Processing, 2012, Singapore, Singapore

Abstract

In this paper, a novel evolutionary functional network (EFN) is introduced. Firstly the generalized basis function is introduced, and then genetic programming is improved by changing the objects and structure of encoding. Sequences of generalized basis functions acts as individuals, general tree structure is used to encode them. Least square method (LSM) is used to design fitness function and by a number of evolutions, the optimum approximated model is achieved. The algorithm is used to compute the numerical integrals of all kinds of functions. Finally, results of 5 experiments show that this algorithm is effectively feasible and more accurate.

Citation Download Citation

Yanlian Du and Yongquan Zhou "Numerical integration based on evolutionary functional network", Proc. SPIE 8768, International Conference on Graphic and Image Processing (ICGIP 2012), 87680F (14 March 2013); https://doi.org/10.1117/12.2010613

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