From 90bc4978f4c1160c1c3b720c43eca83bc859e463 Mon Sep 17 00:00:00 2001 From: Petr Baudis Date: Tue, 9 Mar 2010 23:13:24 +0100 Subject: [PATCH] tex: Expert knowledge - add table with input --- tex/gostyle.tex | 75 ++++++++++++++++++++++++++++++++++++++++++++++++--------- 1 file changed, 63 insertions(+), 12 deletions(-) diff --git a/tex/gostyle.tex b/tex/gostyle.tex index 45bab8c..0ab0548 100644 --- a/tex/gostyle.tex +++ b/tex/gostyle.tex @@ -38,6 +38,8 @@ % \DeclareGraphicsExtensions{.eps} \fi +\usepackage{threeparttable} + \usepackage{algorithm} \usepackage{algorithmic} %\usepackage{algpseudocode} @@ -747,18 +749,12 @@ bla bla bla In order to provide a reference frame for our style analysis, we have gathered some expert-based information about various traditionally perceived style aspects. -Three high-level Go players (Alexander Dinerstein 3-pro, Motoki Noguchi -7-dan and V\'{i}t Brunner 4-dan) have judged style of several Go -professionals -- we call them \emph{reference playerse} -- chosen for both -being well-known within the community and having large number of played games in our collection. - This expert-based knowledge allows us to predict styles of unknown players based on the similarity of their pattern vectors, as well as discover correlations between styles and proportions of played patterns. -Experts were asked to assign each of player's style a number -on a scale from 1 to 10. These are interpreted -as shown in the table below. +Experts were asked to mark each style aspect of the given players +on the scale from 1 to 10. The style aspects are defined as shown: \vspace{4mm} \noindent @@ -769,10 +765,10 @@ as shown in the table below. \hline \multicolumn{3}{|c|}{Styles} \\ \hline Style & 1 & 10\\ \hline -Territoriality & Moyo & Territorial \\ -Orthodoxity & Classic & Novel \\ -Aggressivity & Calm & Figting \\ -Thickness & Safe & Shinogi \\ \hline +Territoriality $\tau$ & Moyo & Territorial \\ +Orthodoxity $\omega$ & Classic & Novel \\ +Aggressivity $\alpha$ & Calm & Figting \\ +Thickness $\theta$ & Safe & Shinogi \\ \hline \end{tabular} \end{center} %\end{table} @@ -782,6 +778,61 @@ Averaging this expert based evaluation yields \emph{reference style vector} $\vec s_r$ (of dimension $4$) for each player $r$ from the set of \emph{reference players} $R$. +Three high-level Go players (Alexander Dinerstein 3-pro, Motoki Noguchi +7-dan and V\'{i}t Brunner 4-dan) have judged style of several Go +professionals -- we call them \emph{reference playerse} -- chosen for both +being well-known within the community and having large number of played games in our collection. +Mean standard deviation of the answers is 0.952, +making the data reasonably reliable, +though much larger sample would of course be more desirable. +The complete list of answers is in Table \ref{style_marks}. + +\begin{table}[!t] +\label{style_marks} +% increase table row spacing, adjust to taste +\renewcommand{\arraystretch}{1.3} +\begin{threeparttable} +\caption{Style Aspects of Selected Professionals\tnote{1}} +\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|} +\hline +Player & $\tau$ & $\omega$ & $\alpha$ & $\theta$ \\ +\hline +Yoda Norimoto & $6.3 \pm 1.7$ & $4.3 \pm 2.1$ & $4.3 \pm 2.1$ & $3.3 \pm 1.2$ \\ +Yi Se-tol & $5.3 \pm 0.5$ & $6.6 \pm 2.5$ & $9.3 \pm 0.5$ & $6.6 \pm 1.2$ \\ +Yi Ch'ang-ho\tnote{2}& $7.0 \pm 0.8$ & $5.0 \pm 1.4$ & $2.6 \pm 0.9$ & $2.6 \pm 1.2$ \\ +Takemiya Masaki & $1.3 \pm 0.5$ & $6.3 \pm 2.1$ & $7.0 \pm 0.8$ & $1.3 \pm 0.5$ \\ +Sakata Eio & $7.6 \pm 1.7$ & $4.6 \pm 0.5$ & $7.3 \pm 0.9$ & $8.0 \pm 1.6$ \\ +Rui Naiwei & $4.6 \pm 1.2$ & $5.6 \pm 0.5$ & $9.0 \pm 0.8$ & $3.3 \pm 1.2$ \\ +Otake Hideo & $4.3 \pm 0.5$ & $3.0 \pm 0.0$ & $4.6 \pm 1.2$ & $3.6 \pm 0.9$ \\ +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 & $8.0 \pm 1.4$ & $5.0 \pm 1.4$ & $3.3 \pm 1.2$ & $5.3 \pm 0.5$ \\ +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 & $2.0 \pm 0.0$ & $9.0 \pm 1.0$ & $9.5 \pm 0.5$ & $3.0 \pm 1.0$ \\ +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 & $6.0 \pm 2.0$ & $9.0 \pm 1.0$ & $8.0 \pm 1.0$ & $5.0 \pm 1.0$ \\ +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 +\end{tabular} +\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. +\end{tablenotes} +\end{threeparttable} +\end{table} + \subsection{Style Components Analysis} PCA analysis yielded X, chi-square test... -- 2.11.4.GIT