From 5ed5b6939d67fa872399b165847298cb74e233a2 Mon Sep 17 00:00:00 2001
From: Petr Baudis <pasky@ucw.cz>
Date: Wed, 10 Mar 2010 00:27:04 +0100
Subject: [PATCH] tex: Add strength PCA dimension plot

---
 tex/gostyle.tex       | 11 ++++++++++-
 tex/makefile          |  7 +++++--
 tex/strength-pca.data | 34 ++++++++++++++++++++++++++++++++++
 3 files changed, 49 insertions(+), 3 deletions(-)
 create mode 100644 tex/strength-pca.data

diff --git a/tex/gostyle.tex b/tex/gostyle.tex
index bb1d6ad..6f6490a 100644
--- a/tex/gostyle.tex
+++ b/tex/gostyle.tex
@@ -31,6 +31,7 @@
   % will default to the driver specified in the system graphics.cfg if no
   % driver is specified.
   % \usepackage[dvips]{graphicx}
+  \usepackage{graphicx}
   % declare the path(s) where your graphic files are
   % \graphicspath{{../eps/}}
   % and their extensions so you won't have to specify these with
@@ -695,6 +696,13 @@ The neuron network classifier is using the libfann C library. \cite{TODO}
 
 \section{Strength Estimator}
 
+\begin{figure*}[!t]
+\centering
+\includegraphics[width=7in]{strength-pca}
+\caption{PCA of by-strength vectors}
+\label{fig:strength_pca}
+\end{figure*}
+
 First, we have used our framework to analyse correlations of pattern vectors
 and playing strength. Like in other competitively played board games, Go players
 receive real-world rating based on tournament games, and rank based on their
@@ -724,7 +732,8 @@ rank correspondence in the first PCA dimension\footnote{The eigenvalue of the
 second dimension was four orders of magnitude smaller, with no discernable
 structure revealed within the lower-order eigenvectors.}
 (chi-square test TODO).
-(Figure TODO.) Using the eigenvector position directly for classification
+(Figure \ref{fig:strength_pca}.)
+Using the eigenvector position directly for classification
 of players within the test group yields MSE TODO, thus providing
 reasonably satisfying accuracy.
 
diff --git a/tex/makefile b/tex/makefile
index 9bdd9a6..6d354f0 100644
--- a/tex/makefile
+++ b/tex/makefile
@@ -1,12 +1,15 @@
-gostyle.dvi: gostyle.tex gostyle.bib makefile
+gostyle.dvi: gostyle.tex gostyle.bib strength-pca.eps makefile
 	rm -f gostyle.bbl
 	latex gostyle && bibtex gostyle && latex gostyle && latex gostyle
 
 gostyle.pdf: gostyle.dvi
 	dvipdf gostyle.dvi gostyle.pdf
 
+strength-pca.eps: strength-pca.data
+	echo 'set term postscript eps enhanced "Helvetica" 18 size 7,2; set output "'$>'"; set xtics -4 2; set xlabel "rank (-d, +k)" ; set ylabel "first dim." ; plot "'$<'" using 2:3 notitle pointtype 2' | gnuplot
+
 clean:
-	rm -f gostyle.pdf gostyle.dvi gostyle.bbl gostyle.aux gostyle.log gostyle.blg
+	rm -f gostyle.pdf gostyle.dvi gostyle.bbl gostyle.aux gostyle.log gostyle.blg strength-pca.eps
 
 dvi: gostyle.dvi
 pdf: gostyle.pdf
diff --git a/tex/strength-pca.data b/tex/strength-pca.data
new file mode 100644
index 0000000..e86adf6
--- /dev/null
+++ b/tex/strength-pca.data
@@ -0,0 +1,34 @@
+d04 -4 1.0
+d03 -3 0.704588209339
+d02 -2 0.828040950868
+d01 -1 0.955823053313
+k01 01 0.691565135525
+k02 02 0.526583748596
+k03 03 0.541892827263
+k04 04 0.414798267032
+k05 05 0.381620472074
+k06 06 0.404828506661
+k07 07 0.400982293159
+k08 08 0.276650116886
+k09 09 0.311405620896
+k10 10 0.146580042619
+k11 11 0.152275532617
+k12 12 0.12479695912
+k13 13 0.055124030654
+k14 14 0.0257837319076
+k15 15 -0.00749369736499
+k16 16 -0.0692043773635
+k17 17 -0.232076754259
+k18 18 -0.0728848940143
+k19 19 -0.124660783982
+k20 20 -0.189728520936
+k21 21 -0.37076262938
+k22 22 -0.261877441828
+k23 23 -0.379954340207
+k24 24 -0.544782394026
+k25 25 -0.3264022596
+k26 26 -0.510319184697
+k27 27 -0.870439721942
+k28 28 -0.822330562106
+k29 29 -1.0
+k30 30 -0.905915534731
-- 
2.11.4.GIT