From 223eff69ab03cdc02682080a7f4e2e2845c83b72 Mon Sep 17 00:00:00 2001 From: Petr Baudis Date: Wed, 10 Mar 2010 23:55:40 +0100 Subject: [PATCH] tex: Comments on new PCA --- tex/gostyle.tex | 20 ++++++++++++++------ 1 file changed, 14 insertions(+), 6 deletions(-) diff --git a/tex/gostyle.tex b/tex/gostyle.tex index 744e27d..b5525bc 100644 --- a/tex/gostyle.tex +++ b/tex/gostyle.tex @@ -814,7 +814,7 @@ The complete list of answers is in table \ref{fig:style_marks}. % increase table row spacing, adjust to taste \renewcommand{\arraystretch}{1.3} \begin{threeparttable} -\caption{Expert-based Style Aspects of Selected Professionals\tnote{1}} +\caption{Expert-Based Style Aspects of Selected Professionals\tnote{1}} \label{fig:style_marks} \centering % Some packages, such as MDW tools, offer better commands for making tables @@ -833,18 +833,18 @@ Otake Hideo & $4.3 \pm 0.5$ & $3.0 \pm 0.0$ & $4.6 \pm 1.2$ & $3.6 \pm O Meien & $2.6 \pm 1.2$ & $9.6 \pm 0.5$ & $8.3 \pm 1.7$ & $3.6 \pm 1.2$ \\ Ma Xiaochun & $8.0 \pm 2.2$ & $6.3 \pm 0.5$ & $5.6 \pm 1.9$ & $8.0 \pm 0.8$ \\ Luo Xihe & $7.3 \pm 0.9$ & $7.3 \pm 2.5$ & $7.6 \pm 0.9$ & $6.0 \pm 1.4$ \\ -Ishida Yoshio & $8.0 \pm 1.4$ & $5.0 \pm 1.4$ & $3.3 \pm 1.2$ & $5.3 \pm 0.5$ \\ +Ishida Yoshio\tnote{3}&$8.0 \pm 1.4$ & $5.0 \pm 1.4$ & $3.3 \pm 1.2$ & $5.3 \pm 0.5$ \\ Gu Li & $5.6 \pm 0.9$ & $7.0 \pm 0.8$ & $9.0 \pm 0.8$ & $4.0 \pm 0.8$ \\ Cho U & $7.3 \pm 2.4$ & $6.0 \pm 0.8$ & $5.3 \pm 1.7$ & $6.3 \pm 1.7$ \\ Cho Chikun & $9.0 \pm 0.8$ & $7.6 \pm 0.9$ & $6.6 \pm 1.2$ & $9.0 \pm 0.8$ \\ Yuki Satoshi & $3.0 \pm 1.0$ & $8.5 \pm 0.5$ & $9.0 \pm 1.0$ & $4.5 \pm 0.5$ \\ -Yamashita Keigo & $2.0 \pm 0.0$ & $9.0 \pm 1.0$ & $9.5 \pm 0.5$ & $3.0 \pm 1.0$ \\ +Yamashita Keigo\tnote{3}&$2.0\pm 0.0$& $9.0 \pm 1.0$ & $9.5 \pm 0.5$ & $3.0 \pm 1.0$ \\ Takao Shinji & $5.0 \pm 1.0$ & $3.5 \pm 0.5$ & $5.5 \pm 1.5$ & $4.5 \pm 0.5$ \\ Miyazawa Goro & $1.5 \pm 0.5$ & $10 \pm 0 $ & $9.5 \pm 0.5$ & $4.0 \pm 1.0$ \\ Kobayashi Koichi & $9.0 \pm 1.0$ & $2.5 \pm 0.5$ & $2.5 \pm 0.5$ & $5.5 \pm 0.5$ \\ Kato Masao & $2.5 \pm 0.5$ & $4.5 \pm 1.5$ & $9.5 \pm 0.5$ & $4.0 \pm 0.0$ \\ Hane Naoki & $7.5 \pm 0.5$ & $2.5 \pm 0.5$ & $4.0 \pm 0.0$ & $4.5 \pm 1.5$ \\ -Go Seigen & $6.0 \pm 2.0$ & $9.0 \pm 1.0$ & $8.0 \pm 1.0$ & $5.0 \pm 1.0$ \\ +Go Seigen\tnote{4} & $6.0 \pm 2.0$ & $9.0 \pm 1.0$ & $8.0 \pm 1.0$ & $5.0 \pm 1.0$ \\ Fujisawa Hideyuki & $3.5 \pm 0.5$ & $9.0 \pm 1.0$ & $7.0 \pm 0.0$ & $4.0 \pm 0.0$ \\ Chen Yaoye & $6.0 \pm 1.0$ & $4.0 \pm 1.0$ & $6.0 \pm 1.0$ & $5.5 \pm 0.5$ \\ \hline @@ -852,6 +852,8 @@ Chen Yaoye & $6.0 \pm 1.0$ & $4.0 \pm 1.0$ & $6.0 \pm 1.0$ & $5.5 \pm \begin{tablenotes} \item [1] Including standard deviation. Only players where we got at least two out of tree answers are included. \item [2] We consider games only up to year 2004, since Yi Ch'ang-ho was prominent representative of a balanced, careful player until then, but is regarded to have altered his style significantly afterwards. +\item [3] We do not consider games of Ishida Yoshio and Yamashita Keigo for the PCA analysis since they are significant outliers, making high-order dimensions much like purely ``similarity to this player''. Takemiya Masaki has the similar effect for the first dimension, but this corresponds to common knowledge of him being an extreme proponent of anti-territorial (``moyo'') style. +\item [4] We do not consider games of Go Seigen due to him playing across several distinct Go-playing eras and thus specifically high diversity of patterns. \end{tablenotes} \end{threeparttable} \end{table} @@ -866,7 +868,13 @@ Chen Yaoye & $6.0 \pm 1.0$ & $4.0 \pm 1.0$ & $6.0 \pm 1.0$ & $5.5 \pm \end{figure} We have looked at the five most significant dimensions of the pattern data -yielded by the PCA analysis (fig. \ref{fig:style_pca} shows three). +yielded by the PCA analysis of the reference player set% +\footnote{We also tried to observe PCA effect of removing outlying Takemiya +Masaki. This second dimension strongly +correlated to territoriality and third dimension strongly correlacted to era, +however the first dimension remained mysteriously uncorrelated and with no +obvious interpretation.} +(fig. \ref{fig:style_pca} shows three). We have again computed the Pearson's $r$ for all combinations of PCA dimensions and dimensions of the prior knowledge style vectors to find correlations. @@ -875,7 +883,7 @@ obvious both from the measured $r$ and visual observation that by far the most significant vector corresponds very well to the player territoriality,\footnote{Cho Chikun, perhaps the best-known super-territorial player, is not well visible in the cluster, but he is -positioned just below $-0.5$ on the first dimension.} +positioned around $-0.8$ on the first dimension.} confirming the intuitive notion that this aspect of style is the one easiest to pin-point and also most obvious in the played shapes and sequences -- 2.11.4.GIT