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2021-08-03, 20:32
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Have you ever needed to solve an optimization problem where there were local minima? What strategy do you use to solve it, trying to find the "best" answer? Today I'm going to talk about a simple strategy, readily available in the Global Optimization Toolbox.Solve a Simple ProblemOr at least let's try. I have some data and I want to fit a particular form of a curve to it. First let's look at the pharmacokinetic data. Here's the reference: Parameter estimation in nonlinear algebraic models via global optimization. Computers & Chemical Engineering, Volume 22, Supplement 1, 15 March 1998, Pages S213-S220 William R. Esposito, Christodoulos A. Floudas.The data are time vs. concentrationt = [ 3.92, 7.93, 11.89, 23.90, 47.87, 71.91, 93.85, 117.84 ]t = 1×8 3.9200 7.9300 11.8900 23.9000 47.8700 71.9100 93.8500 117.8400c = [0.163, 0.679, 0.679, 0.388, 0.183, 0.125, 0.086, 0.0624 ]c = 1×8
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Have you ever needed to solve an optimization problem where there were local minima? What strategy do you use to solve it, trying to find the "best" answer? Today I'm going to talk about a simple strategy, readily available in the Global Optimization Toolbox.Solve a Simple ProblemOr at least let's try. I have some data and I want to fit a particular form of a curve to it. First let's look at the pharmacokinetic data. Here's the reference: Parameter estimation in nonlinear algebraic models via global optimization. Computers & Chemical Engineering, Volume 22, Supplement 1, 15 March 1998, Pages S213-S220 William R. Esposito, Christodoulos A. Floudas.The data are time vs. concentrationt = [ 3.92, 7.93, 11.89, 23.90, 47.87, 71.91, 93.85, 117.84 ]t = 1×8 3.9200 7.9300 11.8900 23.9000 47.8700 71.9100 93.8500 117.8400c = [0.163, 0.679, 0.679, 0.388, 0.183, 0.125, 0.086, 0.0624 ]c = 1×8
...read more >> (https://blogs.mathworks.com/loren/?p=4418)
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More... (http://feedproxy.google.com/~r/mathworks/loren/~3/uNWaeFNh7gM/)