How should the value of objective function be returned for fmincon?

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Hello,
I have an objective function that computes the difference between actual and predicted values. The value, f, computed below is returned to fmincon
f = (actual - predicted)
The size of actual and predicted is [ntime, nstate]. i.e ntime is the number of time points and nstate is the number of state variables
For instance, in my case both actal and predicted is of size 500 x 10 ( 500 time observations and 10 variables).
To lsqnonlin which accepts a vector values objective function , I could return `f = (actual - predicted)` directly. But I get an error that says, only a scalar value can be returned from the objective function to fmincon.
I tried the following in fmincon
f = (actual - predicted).*(actual - predicted);
f = sum(f, 'all'); % takes summation over rows (time points) and columns (variables)
But the solver didn't provide an optimal solution
Any suggestions on how to proceed?
Thanks

Respuesta aceptada

Walter Roberson
Walter Roberson el 28 de Mzo. de 2020
f = sum((actual(:) - predicted(:)).^2);
  3 comentarios
Walter Roberson
Walter Roberson el 28 de Mzo. de 2020
Yes, but .^2 should be more efficient than the .*

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