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hi, urgent help

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Temesgen
Temesgen 2023-4-4
关闭： Walter Roberson 2023-4-4
I want to apply MultiStart global optimization technique for curve fitting and parameter estimation from data set and system of ordinary differential equation. I am new for that concept. I am wondering if you could assist me how to estimate using that technique? I will be very happy if you send me any prototype matlabcode!
Any help is appreciated!

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Star Strider
Star Strider 2023-4-4
I generaly prefer to use the ga (genetic algorithm) function to MultiStart or GlobalSearch because I have a bit more control over the parameters to be estimated (and I understand ga better than I do the others). One example using ga is in Estimate Parameters for System of ODEs with given Data using a Genetic Algorithm (COVID-19-Model) - MATLAB Answers - MATLAB Central. I have other prototype code using ga as well.
This also presents an approach (and the one I prefer) to using numerically-solved differential equations as an objective function for any number of optimisation problems.
Alan Weiss
Alan Weiss 2023-4-4
There is an example of using MultiStart for problem-based lsqnonlin here:
https://www.mathworks.com/help/gads/fit-function-using-multistart.html
There are documentation examples of fitting ODE here:
Fit ODE Parameters Using Optimization Variables
Fit an Ordinary Differential Equation (ODE)
That should be enough to get you started on your problem.
Alan Weiss
MATLAB mathematical toolbox documentation

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