Mishra, SK (2007): Performance of Differential Evolution Method in Least Squares Fitting of Some Typical Nonlinear Curves.
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Abstract
No foolproof method exists to fit nonlinear curves to data or estimate the parameters of an intrinsically nonlinear function. Some methods succeed at solving a set of problems but fail at the others. The Differential Evolution (DE) method of global optimization is an upcoming method that has shown its power to solve difficult nonlinear optimization problems. In this study we use the DE to solve some nonlinear least squares problems given by the National Institute of Standards and Technology (NIST), US Department of Commerce, USA and some other challenge problems posed by the CPCX Software (the makers of the AUTO2FIT software). The DE solves the test problems given by the NIST and most of the challenge problems posed by the CPCX, doing marginally better than the AUTO2FIT software in a few cases.
Item Type:  MPRA Paper 

Institution:  NorthEastern Hill University, Shillong (India) 
Original Title:  Performance of Differential Evolution Method in Least Squares Fitting of Some Typical Nonlinear Curves 
Language:  English 
Keywords:  Nonlinear least squares; curve fitting; Differential Evolution; global optimization; AUTO2FIT; CPCX Software; NIST; National Institute of Standards and Technology; test problems 
Subjects:  C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63  Computational Techniques ; Simulation Modeling C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C13  Estimation: General C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61  Optimization Techniques ; Programming Models ; Dynamic Analysis C  Mathematical and Quantitative Methods > C2  Single Equation Models ; Single Variables > C20  General 
Item ID:  4656 
Depositing User:  Sudhanshu Kumar Mishra 
Date Deposited:  31. Aug 2007 
Last Modified:  19. Feb 2013 03:05 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/4656 
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Performance of Differential Evolution Method in Least Squares Fitting of Some Typical Nonlinear Curves. (deposited 29. Aug 2007)
 Performance of Differential Evolution Method in Least Squares Fitting of Some Typical Nonlinear Curves. (deposited 31. Aug 2007) [Currently Displayed]