From 4d4dc4e69e9ad2884f2de8b78bd7a5b6334fc630 Mon Sep 17 00:00:00 2001 From: Petr Baudis Date: Sat, 13 Mar 2010 20:05:14 +0100 Subject: [PATCH] tex: re-typeset style_r, new table style_normr --- tex/gostyle.tex | 51 +++++++++++++++++++++++++++++++++++++++++---------- 1 file changed, 41 insertions(+), 10 deletions(-) diff --git a/tex/gostyle.tex b/tex/gostyle.tex index 2347cc3..c7cf07f 100644 --- a/tex/gostyle.tex +++ b/tex/gostyle.tex @@ -831,7 +831,7 @@ pattern vector $\vec p$ to style vector $\vec s$. The source game collection is GoGoD Winter 2008 \cite{GoGoD} containing 55000 professional games, dating from the early Go history 1500 years ago to the present. -We consider only games of a small subset of players (fig. \ref{fig:style_marks}); +We consider only games of a small subset of players (table \ref{fig:style_marks}); we have chosen them for being well-known within the players community, having large number of played games in our collection and not playing too long ago.\footnote{Over time, many commonly used sequences get altered, adopted and @@ -976,7 +976,7 @@ Chen Yaoye & $6.0 \pm 1.0$ & $4.0 \pm 1.0$ & $6.0 \pm 1.0$ & $5.5 \pm \label{fig:style_pca} \end{figure} -We have looked at the five most significant dimensions of the pattern data +We have looked at the ten most significant dimensions of the pattern data yielded by the PCA analysis of the reference player set% \footnote{We also tried to observe PCA effect of removing outlying Takemiya Masaki. That way, the second dimension strongly @@ -990,20 +990,25 @@ and dimensions of the prior knowledge style vectors to find correlations. \begin{table}[!t] % increase table row spacing, adjust to taste \renewcommand{\arraystretch}{1.4} -\caption{Covariance Measure of Patterns and Prior Information} +\caption{Covariance Measure of PCA and Prior Information} \label{fig:style_r} \centering % Some packages, such as MDW tools, offer better commands for making tables % than the plain LaTeX2e tabular which is used here. -\begin{tabular}{|c||c||c||c||c||c|} +\begin{tabular}{|c||r||r||r||r||r|} \hline Eigenval. & $\tau$ & $\omega$ & $\alpha$ & $\theta$ & Year \\ \hline -0.447 & {\bf -0.530} & 0.323 & 0.298 & {\bf -0.554} & 0.090 \\ -0.194 & {\bf -0.547} & 0.215 & 0.249 & -0.293 & {\bf -0.630} \\ -0.046 & 0.131 & -0.002 & -0.128 & 0.242 & {\bf -0.630} \\ -0.028 & -0.011 & 0.225 & 0.186 & 0.131 & 0.067 \\ -0.024 & -0.181 & 0.174 & -0.032 & -0.216 & 0.352 \\ +$0.4473697$ & $\mathbf{-0.530}$ & $ 0.323$ & $ 0.298$ & $\mathbf{-0.554}$ & $ 0.090$ \\ +$0.1941057$ & $\mathbf{-0.547}$ & $ 0.215$ & $ 0.249$ & $-0.293$ & $\mathbf{-0.630}$ \\ +$0.0463189$ & $ 0.131$ & $-0.002$ & $-0.128$ & $ 0.242$ & $\mathbf{-0.630}$ \\ +$0.0280301$ & $-0.011$ & $ 0.225$ & $ 0.186$ & $ 0.131$ & $ 0.067$ \\ +$0.0243231$ & $-0.181$ & $ 0.174$ & $-0.032$ & $-0.216$ & $ 0.352$ \\ +$0.0180875$ & $-0.364$ & $ 0.226$ & $ 0.339$ & $-0.136$ & $ 0.113$ \\ +$0.0138478$ & $-0.194$ & $-0.048$ & $-0.099$ & $-0.333$ & $ 0.055$ \\ +$0.0110575$ & $-0.040$ & $-0.254$ & $-0.154$ & $-0.054$ & $-0.089$ \\ +$0.0093587$ & $-0.199$ & $-0.115$ & $ 0.358$ & $-0.234$ & $-0.028$ \\ +$0.0084930$ & $ 0.046$ & $ 0.190$ & $ 0.305$ & $ 0.176$ & $ 0.089$ \\ \hline \end{tabular} \end{table} @@ -1180,10 +1185,36 @@ information in the opening stage.% but here all the spatial patterns are big enough to reach to the edge on their own.} +\begin{table}[!t] +% increase table row spacing, adjust to taste +\renewcommand{\arraystretch}{1.4} +\caption{Covariance Measure of Externed-Normalization PCA and~Prior Information} +\label{fig:style_normr} +\centering +% Some packages, such as MDW tools, offer better commands for making tables +% than the plain LaTeX2e tabular which is used here. +\begin{tabular}{|c||r||r||r||r||r|} +\hline +Eigenval. & $\tau$ & $\omega$ & $\alpha$ & $\theta$ & Year \\ +\hline +$6.3774289$ & $ \mathbf{0.436}$ & $-0.220$ & $-0.289$ & $ \mathbf{0.404}$ & $\mathbf{-0.576}$ \\ +$1.7269775$ & $\mathbf{-0.690}$ & $ 0.340$ & $ 0.315$ & $\mathbf{-0.445}$ & $\mathbf{-0.639}$ \\ +$1.1747101$ & $-0.185$ & $ 0.156$ & $ 0.107$ & $-0.315$ & $ 0.320$ \\ +$0.8452797$ & $ 0.064$ & $-0.102$ & $-0.189$ & $ 0.032$ & $ 0.182$ \\ +$0.8038992$ & $-0.185$ & $ 0.261$ & $ \mathbf{0.620}$ & $ 0.120$ & $ 0.056$ \\ +$0.6679533$ & $-0.027$ & $ 0.055$ & $ 0.147$ & $-0.198$ & $ 0.155$ \\ +$0.5790000$ & $ 0.079$ & $ \mathbf{0.509}$ & $ 0.167$ & $ 0.294$ & $-0.019$ \\ +$0.4971474$ & $ 0.026$ & $-0.119$ & $-0.071$ & $ 0.049$ & $ 0.043$ \\ +$0.4938777$ & $-0.061$ & $ 0.061$ & $ 0.104$ & $-0.168$ & $ 0.015$ \\ +$0.4888848$ & $ 0.203$ & $-0.283$ & $-0.120$ & $ 0.083$ & $-0.220$ \\ +\hline +\end{tabular} +\end{table} + The PCA results presented above do not show much correlation between the significant PCA dimensions and the $\omega$ and $\alpha$ style dimensions. However, when we applied the extended vector normalization -(sec. \ref{xnorm}; see fig. \ref{fig:style_normpca}), +(sec. \ref{xnorm}; see table \ref{fig:style_normr}), some less significant PCA dimensions exhibited clear correlations.% \footnote{We have found that $c=6$ in the post-processing logistic function produces the most instructive PCA output on our particular game collection.} -- 2.11.4.GIT