Re: fitting simultaneously multiple data set
- From: John D'Errico <woodchips@xxxxxxxxxxxxxxxx>
- Date: Tue, 13 Dec 2005 14:43:04 GMT
In article <ef1eb3a.-1@xxxxxxxxxxxxxxxx>,
"peter normile" <peter_normile@xxxxxxxxxxx> wrote:
> I have two data sets which I want to fit to the same functional form,
> with certain parameters the same for both fits, and others differing.
> e.g.,
>
> data set 1, y1(x1)
> data set 2, y2(x2)
>
> fit to y1 is f1(x1,p1), p1 is parameter vector
> fit to y2 is f2(x2,p2), p2 is parameter vector
>
> p1 = [p1(1) p1(2) p1(3) p1(4) p1(5)]
> p2 = [p2(1) p2(2) p2(3) p2(4) p2(5)]
>
> and p2(2) = p1(2), p2(3) = p1(3)
>
> Total of number of parameters to fit = 8
>
> Can anyone point in the right direction?
No problem. Merge the two into one larger least
squares problem, with some parameters used for
both problems and some parameters only needed for
one of the segments.
HTH,
John D'Errico
--
The best material model of a cat is another, or preferably the same, cat.
A. Rosenblueth, Philosophy of Science, 1945
Those who can't laugh at themselves leave the job to others.
Anonymous
.
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