Proposal of heuristic regression method applied in descriptive data analysis: case studies

Flávio Adalberto Gomes, Alfredo de O. Assis, Marcio R. da C. Reis, Viviane M. Gomes, Sostenes G. M. Oliveira, Wanderson R. H. de Araujo, Wesley P. Calixto

Abstract


The purpose of this paper is to use the hybridized optimization method in order to find mathematical structures for analysis of experimental data. The heuristic optimization method will be hybridized with deterministic optimization method in order to that structures found require not knowledge about data generated experimentally. Five case studies are proposed and discussed to validate the results. The proposed method has viable solution for the analysis of experimental data and extrapolation, with mathematical expression reduced.


Keywords


regression; data analysis; optimization

Full Text:

PDF

References


E. Garcia, R. Arora, and M. R. Gupta, “Optimized regression for efficient function evaluation,” 2012.

W. H. Chien, L. Chen, C. C. Wei, H. H. Hsu, and T. S. Wang, “Modeling slump flow of high-performance concrete using a back-propagation network,” 2010.

I.-C. Yeh, “Modeling slump flow of concrete using second-order regressions and artificial neural networks,” 2007.

K. Steiglitz, G. Winham, and J. Petzinger, “Pitch extraction by trigonometric curve fitting,” 1975.

T. Strohmer, “A levinson–galerkin algorithm for regularized trigonometric approximation,” 2000.

A. Antoniadis, I. Gijbels, and A. Verhasselt, “Variable selection in additive models using p-splines,” 2012.

D. Gujarati and D. Porter, “Econometria básica - 5.ed.:,” 2011.

L. A. Aguirre, “Introdução à identificação de sistemas – técnicas lineares e não-lineares aplicadas a sistemas reais,” 2004.

M. K. Goyal, “Monthly rainfall prediction using wavelet regression and neural network: an analysis of 1901–2002 data, Assam, India,” 2014.

F. A. Gomes, V. M. Gomes, A. d. O. Assis, M. R. d. C. Reis, G. da Cruz, and W. P. Calixto, “Heuristic regression method for descriptive data analysis,” 2016.

R. L. Eubank and P. Speckman, “Curve fitting by polynomial-trigonometric regression,” 1990.

M. S. Couceiro, D. Portugal, N. Gonçalves, R. Rocha, J. M. A. Luz, C. M. Figueiredo, and G. Dias, “A methodology for detection and estimation in the analysis of golf putting,” 2013.

B. U. Park, E. Mammen, Y. K. Lee, and E. R. Lee, “Varying coefficient regression models: a review and new developments,” 2015.

H. Dette, G. Haller, et al., “Optimal designs for the identification of the order of a fourier regression,” 1998.

P. T. Chen G, “Introduction to fuzzy sets, fuzzy logic, and fuzzy control systems,” 2000.

G. Broniatowski, Michel; Celant, “Interpolation and extrapolation optimal designs. 1, polynomial regression and approximation theory,” 2016.

R. Glowinski, K. Atkinson, and W. Han, “Theoretical numerical analysis: A functional analysis framework,” 2003.

H. A. Schilling and S. L. Harris, “Applied numerical methods for engineers using matlab,” 1999.

W. P. Calixto, A. Paulo Coimbra, J. C. d. Mota, M. Wu, W. G. Silva, B. Alvarenga, L. d. C. Brito, A. J. Alves, E. G. Domingues, and D. P. Neto, “Troubleshooting in geoelectrical prospecting using real-coded genetic algorithm with chromosomal extrapolation,” 2015.

E. Isaacson and H. B. Keller, “Analysis of numerical methods,” 1994.

M. Rashid, “Eletrônica de potência: circuitos, dispositivos e aplicações,” 1999.

M. R. C. Reis, “Comparative analysis of optimization methods applied of tuning PI controller,” 2014.




DOI: http://dx.doi.org/10.22149/teee.v2i2.105

Refbacks

  • There are currently no refbacks.


Copyright (c) 2017 Flávio Adalberto Gomes, Alfredo de O. Assis, Marcio R. da C. Reis, Viviane M. Gomes, Sostenes G. M. Oliveira, Wanderson R. H. de Araujo, Wesley P. Calixto

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.