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added second image for LDA article

This commit is contained in:
Martin Thoma 2014-08-18 22:03:07 -04:00
parent 9558d8b3c1
commit 75bc9d0dae
6 changed files with 135 additions and 6 deletions

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\usepackage[latin1]{inputenc}
\usepackage{amsmath}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning}
\usepackage{helvet}
\usepackage[eulergreek]{sansmath}
@ -67,6 +69,18 @@ every axis label/.append style={font=\sffamily\footnotesize},
rotate=90,
font=\boldmath\Large},
]
\coordinate (plotAcoord) at (axis cs:70,0.024);
\coordinate (plotAcoordY) at (axis cs:0,0.024);
\draw[plotA,thick, dashed](plotAcoord -| plotAcoordY) -- (plotAcoord);
\coordinate (plotBcoord) at (axis cs:70,0.0004);
\coordinate (plotBcoordY) at (axis cs:0,0.0004);
\draw[plotB,thick, dashed](plotBcoord -| plotBcoordY) -- (plotBcoord);
\node[above right=0cm and 0cm of plotAcoordY,color=red!90!black] (f1y) {$f_{I}(70)$};
\node[above right=0cm and 0cm of plotBcoordY,color=cyan!50!black] (f2y) {$f_{II}(70)$};
% Plots of the distributions
\addplot [domain=0:120,samples=200,plotA] {gauss(80,100)};
\addplot [domain=0:120,samples=200,plotB] {gauss(40,100)};
@ -75,19 +89,18 @@ every axis label/.append style={font=\sffamily\footnotesize},
\addplot+[plotA,
samples at={70},
mark=*,
mark options={scale=1, fill=red!90!black}] {gauss(80,100)}
node[pin={95:\large$f_I(70)$}] {};
mark options={scale=1, fill=red!90!black}] {gauss(80,100)};
\addplot+[plotB,
samples at={70},
mark=*,
mark options={scale=1, fill=cyan!50!black}] {gauss(40,100)}
node[pin={10:\large$f_{II}(70)$}] {};
mark options={scale=1, fill=cyan!50!black}] {gauss(40,100)};
\coordinate (a) at (axis cs:70,0.024);
\draw[black,thick](a |- current plot begin) -- (a);
% Add labels
\node[plotA,above] at (axis cs:102,0.03){\Large $\mathcal{N}(80, 100)$};
\node[plotB,above] at (axis cs:20,0.03){\Large $\mathcal{N}(40, 100)$};
\node[plotA,above] at (axis cs:102,0.03){\Large $\mathcal{N}(80, 100)$};
\node[plotB,above] at (axis cs:20,0.03){\Large $\mathcal{N}(40, 100)$};
% \addlegendentry{$\mu=80,\enskip \sigma^2 = 100$}
% \addlegendentry{$\mu=40,\enskip \sigma^2 = 100$}
\end{axis}

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tikz/lda-gauss-2/Makefile Normal file
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SOURCE = lda-gauss-2
DELAY = 80
DENSITY = 300
WIDTH = 512
make:
pdflatex -shell-escape $(SOURCE).tex -output-format=pdf
make clean
clean:
rm -rf $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot
gif:
pdfcrop $(SOURCE).pdf
convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
make clean
png:
make
make svg
inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
transparentGif:
convert $(SOURCE).pdf -transparent white result.gif
make clean
svg:
#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
pdf2svg $(SOURCE).pdf $(SOURCE)1.svg
# Necessary, as pdf2svg does not always create valid svgs:
inkscape $(SOURCE)1.svg --export-width=$(WIDTH) --export-plain-svg=$(SOURCE)1.svg
rsvg-convert -a -w 720 -f svg $(SOURCE)1.svg -o $(SOURCE).svg
rm $(SOURCE)1.svg

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Compiled example
----------------
![Example](lda-gauss-2.png)

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\documentclass[varwidth=true, border=5pt]{article}
\usepackage[active,tightpage]{preview}
\usepackage[latin1]{inputenc}
\usepackage{amsmath}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning}
\usepackage{helvet}
\usepackage[eulergreek]{sansmath}
\pgfmathdeclarefunction{gauss}{2}{%
\pgfmathparse{1/(sqrt(2*pi*#2))*exp(-((x-#1)^2)/(2*#2))}%
}
% to be used: \gauss(x)(mean)(variance)
\pgfplotsset{
tick label style = {font=\sansmath\sffamily},
every axis label/.append style={font=\sffamily\footnotesize},
}
\begin{document}
\begin{preview}
\tikzstyle{plotA}=[ultra thick,red!90!black]
\tikzstyle{plotB}=[ultra thick,cyan!50!black]
\begin{tikzpicture}
\begin{axis}[
width=13.5cm,
height=8.625cm,
% Grid
grid = major,
%grid style={thin, dashed},
% size
xmin= 0, % start the diagram at this x-coordinate
xmax= 125, % end the diagram at this x-coordinate
ymin= 0, % start the diagram at this y-coordinate
ymax= 0.045, % end the diagram at this y-coordinate
% Legende
legend style={
font=\large\sansmath\sffamily,
at={(0.5,-0.18)},
anchor=north,
legend cell align=left,
legend columns=-1,
column sep=0.5cm
},
% Ticks
tick align=inside,
%minor tick num=3,
minor tick style={thick},
scaled y ticks = false,
% xtick={40,70,80},
ytick=\empty,
% Axis
axis lines = middle,
axis line style = very thick,
xlabel=$x$,
x label style={at={(axis description cs:0.52,0)},
anchor=north,
font=\boldmath\Large},
ylabel=$f(x)$,
y label style={at={(axis description cs:0,0.5)},
anchor=south,
rotate=90,
font=\boldmath\Large},
]
% Plots of the distributions
\addplot [domain=0:120,samples=200,plotA] {gauss(60,800)};
\addplot [domain=0:120,samples=200,plotB] {gauss(40,100)};
% Add labels
\node[plotA,above] at (axis cs:102,0.01){\Large $\mathcal{N}(60, 800)$};
\node[plotB,above] at (axis cs:20,0.03){\Large $\mathcal{N}(40, 100)$};
% \addlegendentry{$\mu=80,\enskip \sigma^2 = 100$}
% \addlegendentry{$\mu=40,\enskip \sigma^2 = 100$}
\end{axis}
\end{tikzpicture}
\end{preview}
\end{document}