more variables, less manual computation

tikz/lda-gauss-1/lda-gauss-1.tex

@@ -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}

tikz/lda-gauss-2/lda-gauss-2.tex

@@ -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}

tikz/lda-gauss-variance-small/Makefile

@@ -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

tikz/lda-gauss-variance-small/README.md

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

tikz/lda-gauss-variance-small/lda-gauss-variance-small.tex

@@ -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}