From 1bd48b320cf879c70d2bb144694cabe66139a88f Mon Sep 17 00:00:00 2001 From: Petr Baudis Date: Fri, 12 Mar 2010 21:00:36 +0100 Subject: [PATCH] tex: PCA Patterns Comment --- tex/gostyle.tex | 21 +++++++++++++-------- 1 file changed, 13 insertions(+), 8 deletions(-) diff --git a/tex/gostyle.tex b/tex/gostyle.tex index b4fff7d..2efe0c1 100644 --- a/tex/gostyle.tex +++ b/tex/gostyle.tex @@ -890,7 +890,7 @@ in table \ref{fig:style_marks_r}. \begin{table}[!t] % increase table row spacing, adjust to taste -\renewcommand{\arraystretch}{1.3} +\renewcommand{\arraystretch}{1.4} \begin{threeparttable} \caption{Expert-Based Style Aspects of Selected Professionals\tnote{1} \tnote{2}} \label{fig:style_marks} @@ -959,7 +959,7 @@ and dimensions of the prior knowledge style vectors to find correlations. \begin{table}[!t] % increase table row spacing, adjust to taste -\renewcommand{\arraystretch}{1.3} +\renewcommand{\arraystretch}{1.4} \caption{Covariance Measure of Patterns and Prior Information} \label{fig:style_r} \centering @@ -1003,7 +1003,7 @@ Eigenval. & $\tau$ & $\omega$ & $\alpha$ & $\theta$ & Year \\ \stone[\marktr]{black}{j}{4} \end{psgopartialboard*} & \\ \centering $0.274$ & \centering $0.086$ & \centering $0.083$ & \\ -\centering high corner/side opening & \centering high corner approach & \centering high distant pincer & \\ +\centering high corner/side opening \tnote{2} & \centering high corner approach & \centering high distant pincer & \\ \hline \multicolumn{4}{|c|}{PCA$_1$ --- Territorial, thick-playing player} \\ \centering \begin{psgopartialboard*}{(3,1)(7,6)} @@ -1022,7 +1022,7 @@ Eigenval. & $\tau$ & $\omega$ & $\alpha$ & $\theta$ & Year \\ \centering $-0.399$ & \centering $-0.399$ & \centering $-0.177$ & \\ \centering low corner approach & \centering low corner reply & \centering low corner enclosure & \\ -\hline \multicolumn{4}{|c|}{PCA$_2$ --- Territorial, current player \tnote{2}} \\ +\hline \multicolumn{4}{|c|}{PCA$_2$ --- Territorial, current player \tnote{3}} \\ \centering \begin{psgopartialboard*}{(3,1)(7,6)} \stone{white}{c}{6} \stone{black}{d}{4} @@ -1038,7 +1038,7 @@ Eigenval. & $\tau$ & $\omega$ & $\alpha$ & $\theta$ & Year \\ \stone[\marktr]{black}{h}{3} \end{psgopartialboard*} & \\ \centering $-0.193$ & \centering $-0.139$ & \centering $-0.135$ & \\ -\centering low corner reply \tnote{3} & \centering high distant approach/pincer & \centering near low pincer & \\ +\centering low corner reply \tnote{4} & \centering high distant approach/pincer & \centering near low pincer & \\ \hline \end{tabular} @@ -1047,9 +1047,13 @@ Eigenval. & $\tau$ & $\omega$ & $\alpha$ & $\theta$ & Year \\ in reality, they are usually somewhat larger and always circle-shaped (centered on the triangled move). We omit only pattern segments that are entirely empty. -\item [2] In the second PCA dimension, we find no correlated patterns; +\item [2] We give some textual interpretation of the patterns, especially +since some of them may not be obvious unless seen in game context; we choose +the descriptions based on the most frequently observer contexts, but of course +the pattern can be also matched in other positions and situations. +\item [3] In the second PCA dimension, we find no correlated patterns; only uncorrelated and anti-correlated ones. -\item [3] As the second most significant pattern, +\item [4] As the second most significant pattern, we skip a slide follow-up pattern to this move. \end{tablenotes} \end{threeparttable} @@ -1181,9 +1185,10 @@ with random classificator. To minimize the effect of random variables, all numbers were taken as an average of $30$ runs of the cross validation. \begin{table}[!t] -\label{crossval-cmp} +\renewcommand{\arraystretch}{1.4} \begin{center} \caption{Comparison of style classificators} +\label{crossval-cmp} \begin{tabular}{|c|c|c|c|c|c|c|} \hline %Classifier & $\sigma_\tau$ & $\sigma_\omega$ & $\sigma_\alpha$ & $\sigma_\theta$ & Tot $\sigma$ & $\mathit{RndC}$\\ \hline -- 2.11.4.GIT