tex-projects/LaTeX-examples
2
0
Fork 0
mirror of https://github.com/MartinThoma/LaTeX-examples.git synced 2025-04-19 11:38:05 +02:00
Code Activity

more variables, less manual computation

Browse source
This commit is contained in:
Martin Thoma 2014-08-20 20:54:02 -04:00
parent ac99fd24f0
commit ddac88526e
6 changed files with 185 additions and 19 deletions
Download patch file Download diff file Expand all files Collapse all files

21
tikz/lda-gauss-1/lda-gauss-1.tex
View file

@ -20,6 +20,17 @@ every axis label/.append style={font=\sffamily\footnotesize},
% Thanks to percusse for solving problems with the axis
\newcommand{\meanI}{80}
\newcommand{\meanII}{40}
\newcommand{\varI}{100}
\newcommand{\varII}{100}
\newcommand{\labelheight}{0.03}
\pgfmathsetmacro{\meanIheight}{1/(sqrt(2*pi*\varI))}%
\pgfmathsetmacro{\meanIIheight}{1/(sqrt(2*pi*\varII))}%
\pgfmathsetmacro{\plotheight}{max(\meanIheight, \meanIIheight, \labelheight+0.002)}%
\begin{document}
\begin{preview}
\tikzstyle{plotA}=[ultra thick,red!90!black]
@ -85,19 +96,17 @@ 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)};
mark options={scale=1, fill=red!90!black}] {gauss(\meanI,\varI)};
\addplot+[plotB,
samples at={70},
mark=*,
mark options={scale=1, fill=cyan!50!black}] {gauss(40,100)};
mark options={scale=1, fill=cyan!50!black}] {gauss(\meanII,\varII)};
\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 $\mathcal{N}(40, 100)$};
% \addlegendentry{$\mu=80,\enskip \sigma^2 = 100$}
% \addlegendentry{$\mu=40,\enskip \sigma^2 = 100$}
\node[plotA,above] at (axis cs:102,\labelheight){\Large $\mathcal{N}(\meanI,\varI)$};
\node[plotB,above] at (axis cs:20,\labelheight){\Large $\mathcal{N}(\meanII,\varII)$};
\end{axis}
\end{tikzpicture}
\end{preview}

32
tikz/lda-gauss-2/lda-gauss-2.tex
View file

@ -34,6 +34,17 @@ every axis label/.append style={font=\sffamily\footnotesize},
}
}
\newcommand{\meanI}{60}
\newcommand{\meanII}{40}
\newcommand{\varI}{800}
\newcommand{\varII}{100}
\newcommand{\labelheight}{0.03}
\pgfmathsetmacro{\meanIheight}{1/(sqrt(2*pi*\varI))}%
\pgfmathsetmacro{\meanIIheight}{1/(sqrt(2*pi*\varII))}%
\pgfmathsetmacro{\plotheight}{max(\meanIheight, \meanIIheight, \labelheight+0.002)}%
\begin{document}
\begin{preview}
\tikzstyle{plotA}=[ultra thick,red!90!black]
@ -46,10 +57,10 @@ every axis label/.append style={font=\sffamily\footnotesize},
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
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= \plotheight, % end the diagram at this y-coordinate
% Legende
legend style={
font=\large\sansmath\sffamily,
@ -61,10 +72,8 @@ every axis label/.append style={font=\sffamily\footnotesize},
},
% 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,
@ -83,15 +92,12 @@ every axis label/.append style={font=\sffamily\footnotesize},
]
% Plots of the distributions
\addplot [domain=0:120,samples=200,plotA] {gauss(60,800)};
\addplot [domain=0:120,samples=200,plotB] {gauss(40,100)};
\addplot [domain=0:120,samples=200,plotA] {gauss(\meanI,\varI)};
\addplot [domain=0:120,samples=200,plotB] {gauss(\meanII,\varII)};
% 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{$\mu=40,\enskip \sigma^2 = 100$}
\node[plotA,above] at (axis cs:102,0.01){\Large $\mathcal{N}(\meanI,\varI)$};
\node[plotB,above] at (axis cs:20,0.03){\Large $\mathcal{N}(\meanII,\varII)$};
\end{axis}
\end{tikzpicture}
\end{preview}

33
tikz/lda-gauss-variance-small/Makefile Normal file
View file

@ -0,0 +1,33 @@
SOURCE = lda-gauss-variance-small
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

3
tikz/lda-gauss-variance-small/README.md Normal file
View file

@ -0,0 +1,3 @@
Compiled example
----------------
![Example](lda-gauss-variance-small.png)

BIN
tikz/lda-gauss-variance-small/lda-gauss-variance-small.png Normal file
View file

Binary file not shown.
Side by side

After

Width:  |  Height:  |  Size: 30 KiB

115
tikz/lda-gauss-variance-small/lda-gauss-variance-small.tex Normal file
View file

@ -0,0 +1,115 @@
\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)
\makeatletter \newcommand{\pgfplotsdrawaxis}{\pgfplots@draw@axis} \makeatother
\pgfplotsset{
tick label style = {font=\sansmath\sffamily},
every axis label/.append style={font=\sffamily\footnotesize},
}
\pgfplotsset{axis line on top/.style={
axis line style=transparent,
ticklabel style=transparent,
tick style=transparent,
axis on top=false,
after end axis/.append code={
\pgfplotsset{axis line style=opaque,
ticklabel style=opaque,
tick style=opaque,
grid=none}
\pgfplotsdrawaxis}
}
}
\tikzset{>=latex}
\newcommand{\meanI}{80}
\newcommand{\meanII}{40}
\newcommand{\varI}{40}
\newcommand{\varII}{40}
\newcommand{\arrowHeight}{0.02}
\newcommand{\labelheight}{0.055}
\pgfmathsetmacro{\meanIheight}{1/(sqrt(2*pi*\varI))}%
\pgfmathsetmacro{\meanIIheight}{1/(sqrt(2*pi*\varII))}%
\pgfmathsetmacro{\plotheight}{max(\meanIheight, \meanIIheight, \labelheight+0.002)}%
\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= 20, % start the diagram at this x-coordinate
xmax= 105, % end the diagram at this x-coordinate
ymin= 0, % start the diagram at this y-coordinate
ymax= \plotheight, % 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,
scaled y ticks = false,
ytick=\empty,
% Axis
axis lines = middle,
axis line style = very thick,
axis line on top,
axis line style = {very thick,shorten <=-0.5\pgflinewidth},
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},
]
% Mark means
\coordinate (axisOrigin) at (axis cs:0,0);
\coordinate (meanA) at (axis cs:\meanI,\meanIheight);
\draw[black,thick](meanA |- axisOrigin) -- (meanA);
\coordinate (meanB) at (axis cs:\meanII,\meanIIheight);
\draw[black,thick](meanB |- axisOrigin) -- (meanB);
\draw[black,ultra thick,<->](axis cs:{\meanI-sqrt(\varI)}, \arrowHeight) -- (axis cs:{\meanI+sqrt(\varI)},\arrowHeight);
% Plots of the distributions
\addplot [domain=0:120,samples=400,plotA] {gauss(\meanI,\varI)};
\addplot [domain=0:120,samples=400,plotB] {gauss(\meanII,\varII)};
% Add labels
\node[plotA,above] at (axis cs:\meanI+11,\labelheight){\Large $\mathcal{N}(\meanI, \varI)$};
\node[plotB,above] at (axis cs:\meanII-11,\labelheight){\Large $\mathcal{N}(\meanII, \varII)$};
\end{axis}
\end{tikzpicture}
\end{preview}
\end{document}