47 lines
1.5 KiB
TeX
47 lines
1.5 KiB
TeX
\documentclass[12pt]{book}
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\input{../../header}
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\renewcommand{\exercisesolutions}{here} % 0: here, 1: chapter, 2: end
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\lstset{inputpath=../code}
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\graphicspath{{figures/}}
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\typein[\pagenumber]{Number of first page}
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\typein[\chapternumber]{Chapter number}
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\setcounter{page}{\pagenumber}
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\setcounter{chapter}{\chapternumber}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{document}
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\include{regression}
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\subsection{Notes}
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\begin{itemize}
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\item Fig 8.2 right: this should be a chi-squared distribution with one degree of freedom!
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\end{itemize}
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\subsection{New chapter: non-linear fits}
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\begin{itemize}
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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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\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 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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\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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\end{itemize}
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\end{document}
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