Easier nonlinear never - made feel like I'm going crazy

Hey everybody,

I used the non-linear curve of Levenberg-Marquardt mounting screws before with great success.  I've used a few times to adapt to complex functions with many free parameters and functions have always shone until I've created my design vi, limits and conjecture of initial setting well.  Now, I try to adapt the simplest function never and I am bombing badly.

I have exactly 1 (ONE!) setting I'm trying to adapt.  The function that he spends is dead simple.  But how it works makes me crazy:

1. no matter what I choose as my initial setting, I still get exactly the same result on the table "better adjust the parameters", even if by choosing different values manually, I can clearly a better fit and the residual variations

2 no matter what, he always runs exactly 6 iterations.  This happens even if I set the tolerance of the extremely small termination, or even if I set my maximum iterations less 6 Nb!
3. my best value will be 1e14-1e17 I think.  I was wondering if the reversal in orders of magnitude has been causing crashing the algorithm (maybe because he didn't pass the initial value enough even see a difference for the first couple of iterations or something), so I tried also to redo my function as two parameters: one being the coefficient of a number in scientific notation (with the limits between 1 and 10) and the other being the exponent (with the limits between 1 and 20).  I then treated these two parameters in the model turn them back into a single number and use THIS number in the function, but it still bombed just as badly.  I restored the example I posted to the parameter single original fit.

I'm just completely baffled.  I admit that it is the first time that I tried to use these screws to adapt to a single free parameter.  These screws are designed only to maintain multiple parameters?  If so, why not a not my experience that I described in (3) above works or at least do something?  Also the turnaround in values causes me trouble?  I feel like I fit stuff with huge fluctuations of values before.

The fact that I always get exactly 6 iterations, is what really makes me feel the nuts.  How is she even learning to 6 if I set the maximum number of iterations to less than that?

I searched the forum for the last two hours looking for something like this.  Honestly, I could not find anything.  Sorry if it's a crazy stupid question that has been answered before.

Help much appreciated!  Thank you!

"1. no matter what I choose as my initial setting, I still get exactly the same result on the table"better adjust the parameters", even if by choosing manually different values, I can clearly a better fit and the residual changes."
I tried to manually change the setting and found that the smallest obtained residue if the parameter has become closer to 0. In fact, I saw no change in the residue for the 37 lower parameter values or if, because of the scale of the problem. What is a better fit for you?

The fact that I always get exactly 6 iterations, is what really makes me feel the nuts.
Feature County includes the function for digital calculations derived partial calls, and we do not verify the number of function for termination until after the partial derivatives are calculated. By default for digital derived is central difference.

Partial derivatives are very small in the scale of this problem.  Looks like the stepsize at each iteration is only one or two orders of magnitude above machine epsilon. Due to the relative change very low residue induced by small step size, Lev - Mar may report that it is in convergence. Strongly recommend that the scale of the problem, but this may be a moot point because a manual search for the setting seems to show that the setting tends to 0.

-Jim

Tags: NI Software

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