PENGEMBANGAN APLIKASI GUI MATLAB UNTUK MENAKSIR KOEFISIEN PARAMETER MODEL REGRESI NON LINIER MENGGUNAKAN ALGORITMA LEVENBERG MARQUARDT

Authors

  • Atika Ratna Dewi Institut Teknologi Telkom Purwokerto

DOI:

https://doi.org/10.23887/wms.v14i1.20901

Keywords:

non-linear regression, Levenberg Marquardt, Matlab GUI

Abstract

This study aims to make a simple application using the Matlab GUI to estimate parameters in non-linear regression models. The algorithm used in parameter estimation is the Levenberg Marquardt algorithm. The algorithm is written in the MATLAB programming language syntax and is presented in the form of a GUI. The method used in making the application starts from the analysis phase, the interface design stage, the coding stage and the testing phase. The results obtained are the Matlab GUI application that can facilitate the estimation of parameters in the non linear regression model . The parameters chosen are based on the smallest AIC and SC values at t = 0. So the non-linear regression model is obtained, namely . The results of this study can be used as learning media and analytical tools on the subject of parameter assessment in non-linear regression models.

 

Author Biography

Atika Ratna Dewi, Institut Teknologi Telkom Purwokerto

Saat ini saya bekerja sebagai dosen tetap matematika di Program Studi Teknik Informatika Institut Teknologi Telkom Purwokerto. Saya merupakan alumnus dari S1 Matematika UNSOED dan S2 Matematika UGM.

References

Yusnandar, 2004. Aplikasi Analisis Regresi Non Linear Model Kuadratik Terhadap Produksi Susu Kambing Peranakan Etawah (PE) Selama 90 Hari Pertama Laktasi. Informatika Pertanian, 13, 736-743

Griva, I., Nash, S.G. and Sofer, A., 2009, Linear and Nonlinear Optimization, Second Edition, The Society for Industrial and Applied Mathematics, Philadelphia.

Yu, H. dan Wilamowski, B.M., 2011, Advanced Learning Algorithms of Neural Networks, Disertasi, Auburn University, USA.

Marquardt, D., 1963, An Algorithm for Least Squares Estimation of Nonlinear Parameter. Journal of the Society for Industrial and Applied Mathematics, 2, 11, 431-441.

Gavin, H.P., 2019, The Levenberg-Marquardt Algorithm for Nonlinear Least Squares Curve-Fitting Problems, Duke University.

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Published

2020-04-19

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Section

Articles