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Results tagged with fitting
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user 144
Questions on the use of Mathematica to construct models for approximating empirical data.
9
votes
Fitting fractional complex data with NonlinearModelfit
allows you to set how the residuals are compared to each other:
FindFit[set, 1/(a + b*x^2*I), {a, b}, x,
NormFunction -> (Norm[Abs[#], 2] &)]
If this isn't what you want, you can probably build a fitting …
- 4,469
5
votes
Unexpected differences with various uses of NormFunction
Compare your results to:
FindFit[{1, 3, 9, 20}, x^n, n, x, NormFunction :> ((Norm[#, thisisnotavariable]) &)]
When the NormFunction fails and is not well designed, FindFit just quietly chooses the …
- 4,469
3
votes
How to plot Fit functions?
An example:
data = {{0, 1}, {1, 0}, {3, 2}, {5, 4}}
f[x_] = Fit[data, {1, x}, x]
Plot[f[x], {x, 0, 10}]
Please note that I used = instead of :=. The right hand side needs to evaluate before being …
- 4,469
10
votes
Output of NonlinearModelFit differs from the correct result
You will want to run:
FindFit[data, b*t^a, {a, b}, t, NormFunction -> (Norm[#, 1] &)]
{a -> 0.66955, b -> 1.20678}
Normally in statistics you try to reduce the 2-Norm. In some cases however you wa …
- 4,469
13
votes
Fitting Stradivari's scroll
I didn't get a good answer, but this is how I would do it and probably how I would evaluate the quality of an answer. Much of what I do below involves manual work, but it could be automated:
First, …
- 4,469