[regression] added note on uniqe parameters
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@@ -28,18 +28,21 @@
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\item Move 8.7 to this new chapter.
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\item Example that illustrates the Nebenminima Problem (with error
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surface). Maybe data generate from $1/x$ and fitted with
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$\exp(\lambda x)$ induces local minima.
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$c\exp(\lambda x)$ induces local minima.
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\item You need initial values for the parameter!
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\item Example that fitting gets harder the more parameter you have.
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\item Try to fix as many parameters before doing the fit.
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\item Ensure that all parameters in the function are unique, e.g. $a e^{x-c} = be^x$.
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\item How to test the quality of a fit? Residuals. $\chi^2$ test. Run-test.
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\item Impoartant box: summary of fit howtos.
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\item Important box: summary of fit howtos.
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\end{itemize}
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\subsection{New chapter: linear fits --- generalized linear models}
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\begin{itemize}
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\item Polyfit is easy: unique solution! $c x^3$ is also a linear fit.
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\item Example for \emph{overfitting} with polyfit of a high order (=number of data points)
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\item Higher order and cross terms
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\item Link function, logistic regression
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\end{itemize}
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