MathGroup Archive 2011

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: FindFit bug

  • To: mathgroup at
  • Subject: [mg116095] Re: FindFit bug
  • From: "Kevin J. McCann" <Kevin.McCann at>
  • Date: Wed, 2 Feb 2011 06:06:51 -0500 (EST)
  • References: <ii5rhr$fh4$> <ii8s9u$2ok$>

A more curious result.

I was considering using a simulated annealing approach (for fun) to 
this, and in order to make the graphics easy, I reduced the number of 
parameters to two, viz. 3 Sin[w t + f] with parameters w and f. Before 
trying SA on this, I thought I would just do FindFit. Here are some results:

1) FindFit with no help
fit=FindFit[dat,3 Sin[w t+f],{w,f},t]

2) FindFit with some initial guess
fit=FindFit[dat,3 Sin[w t+f],{{w,2},{f,.5}},t]

3) FindFit with NMinimize, but no initial guess
fit=FindFit[dat,3 Sin[w t+f],{{w,2},{f,.5}},t,Method->"NMinimize"]

4) The surprise, FindFit with NMinimize and the above initial guesses
fit=FindFit[dat,3 Sin[w t+f],{{w,2},{f,.5}},t,Method->"NMinimize"]

It seems that the use of NMinimize does not help all the time.

Next, I will try SA, but that will be for another post.


On 2/1/2011 6:54 AM, Albert Retey wrote:
> Hi,
>> It seems that FindFit cannot fit a sine function.
>> It produces no warnings and gives a totally
>> wrong answer:
>> dat = Table[{t, 3 Sin[3 t + 1]}, {t, -3, 3, 0.1}];
>> fit = FindFit[dat, a Sin[w t + f], {a, w, f}, t]
>> Show[ListPlot[dat], Plot[a Sin[w t + f] /. fit, {t, -3, 3}]]
>> Output: {a ->  0.599211, w ->  1.51494, f ->  3.80421}
>> At the same time it fits Sin[3t+1] just fine.
> Which version are you using? For me it gives a warning with version 8
> but not with version 7. In both cases using Method "NMinimize" yields a
> correct result:
> fit = FindFit[dat, a Sin[w t + f], {a, w, f}, t,
>    Method ->  "NMinimize"]
> It is interesting to see that version 8 finds the parameters with
> negative signs when no additional constraints are given (which is of
> course also a correct result and you can enforce the positive signs with
> an additional constraint)...
> hth,
> albert

  • Prev by Date: Protect a variable against being used as an iterator (related to the HoldAll - Evaluate problem)
  • Next by Date: Re: Mathematica 8 Home Edition
  • Previous by thread: Re: FindFit bug
  • Next by thread: Re: Problems integrating InterpolatingFunction