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diff --git a/problem.tex b/problem.tex index d505280..3bdbb94 100644 --- a/problem.tex +++ b/problem.tex @@ -1,5 +1,5 @@ \label{sec:prel} -\subsection{Linear Regression and Experimental Design} +\subsection{Linear Regression and Experimental Design}\label{sec:edprelim} The theory of experimental design \cite{pukelsheim2006optimal,atkinson2007optimum,chaloner1995bayesian} considers the following formal setting. % studies how an experimenter \E\ should select the parameters of a set of experiments she is about to conduct. In general, the optimality of a particular design depends on the purpose of the experiment, \emph{i.e.}, the quantity \E\ is trying to learn or the hypothesis she is trying to validate. Due to their ubiquity in statistical analysis, a large literature on the subject focuses on learning \emph{linear models}, where \E\ wishes to fit a linear function to the data she has collected. %Putting cost considerations aside |