hi, urgent help

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!

Answer 1

[Star Strider]

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.

Answer 2

[Alan Weiss]

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