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205 lines
6.8 KiB
TeX
205 lines
6.8 KiB
TeX
\documentclass[a4paper, 12pt, draft=true]{article}
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\usepackage{pgfplots}
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\usepackage{filecontents}
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\usepackage{subcaption}
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\usepackage{adjustbox}
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\usepackage{xcolor}
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\usepackage{tabu}
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\usepackage{graphicx}
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\usetikzlibrary{calc, 3d}
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\begin{document}
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\pgfplotsset{
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compat=1.11,
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legend image code/.code={
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\draw[mark repeat=2,mark phase=2]
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plot coordinates {
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(0cm,0cm)
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(0.0cm,0cm) %% default is (0.3cm,0cm)
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(0.0cm,0cm) %% default is (0.6cm,0cm)
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};%
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}
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}
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\begin{figure}
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\begin{subfigure}[b]{\textwidth}
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\begin{tikzpicture}
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\begin{axis}[tick style = {draw = none}, width = \textwidth,
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height = 0.7\textwidth, ymin = 0.92, legend style={at={(0.9825,0.75)},anchor=north east},
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xlabel = {epoch}, ylabel = {Classification Accuracy}]
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\addplot table
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[x=epoch, y=val_accuracy, col sep=comma, mark = none]
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{Data/adagrad.log};
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\addplot table
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[x=epoch, y=val_accuracy, col sep=comma, mark = none]
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{Data/adadelta.log};
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\addplot table
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[x=epoch, y=val_accuracy, col sep=comma, mark = none]
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{Data/adam.log};
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\addlegendentry{\footnotesize{ADAGRAD}}
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\addlegendentry{\footnotesize{ADADELTA}}
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\addlegendentry{\footnotesize{ADAM}}
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\addlegendentry{SGD$_{0.01}$}
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\end{axis}
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\end{tikzpicture}
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%\caption{Classification accuracy}
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\end{subfigure}
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\begin{subfigure}[b]{\textwidth}
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\begin{tikzpicture}
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\begin{axis}[tick style = {draw = none}, width = \textwidth,
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height = 0.7\textwidth, ymax = 0.5,
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xlabel = {epoch}, ylabel = {Error Measure\vphantom{y}},ytick ={0,0.1,0.2,0.3,0.4,0.45,0.5}, yticklabels =
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{0,0.1,0.2,0.3,0.4,\phantom{0.94},0.5}]
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\addplot table
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[x=epoch, y=val_loss, col sep=comma, mark = none] {Data/adagrad.log};
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\addplot table
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[x=epoch, y=val_loss, col sep=comma, mark = none] {Data/adadelta.log};
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\addplot table
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[x=epoch, y=val_loss, col sep=comma, mark = none] {Data/adam.log};
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\addlegendentry{\footnotesize{ADAGRAD}}
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\addlegendentry{\footnotesize{ADADELTA}}
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\addlegendentry{\footnotesize{ADAM}}
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\addlegendentry{SGD$_{0.01}$}
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\end{axis}
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\end{tikzpicture}
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\caption{Performance metrics during training}
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\end{subfigure}
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\\~\\
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\begin{subfigure}[b]{1.0\linewidth}
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\begin{tabu} to \textwidth {@{} *3{X[c]}c*3{X[c]} @{}}
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\multicolumn{3}{c}{Classification Accuracy}
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&~&\multicolumn{3}{c}{Error Measure}
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\\\cline{1-3}\cline{5-7}
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ADAGRAD&ADADELTA&ADAM&&ADAGRAD&ADADELTA&ADAM
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\\\cline{1-3}\cline{5-7}
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1&1&1&&1&1&1
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\end{tabu}
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\caption{Performace metrics after 20 epochs}
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\end{subfigure}
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\caption{Performance metrics of the network given in ... trained
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with different optimization algorithms}
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\end{figure}
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\begin{center}
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\begin{figure}[h]
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\centering
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\begin{subfigure}{0.19\textwidth}
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\includegraphics[width=\textwidth]{Data/mnist0.pdf}
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\end{subfigure}
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\begin{subfigure}{0.19\textwidth}
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\includegraphics[width=\textwidth]{Data/mnist1.pdf}
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\end{subfigure}
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\begin{subfigure}{0.19\textwidth}
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\includegraphics[width=\textwidth]{Data/mnist2.pdf}
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\end{subfigure}
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\begin{subfigure}{0.19\textwidth}
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\includegraphics[width=\textwidth]{Data/mnist3.pdf}
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\end{subfigure}
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\begin{subfigure}{0.19\textwidth}
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\includegraphics[width=\textwidth]{Data/mnist4.pdf}
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\end{subfigure}\\
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\begin{subfigure}{0.19\textwidth}
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\includegraphics[width=\textwidth]{Data/mnist5.pdf}
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\end{subfigure}
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\begin{subfigure}{0.19\textwidth}
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\includegraphics[width=\textwidth]{Data/mnist6.pdf}
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\end{subfigure}
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\begin{subfigure}{0.19\textwidth}
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\includegraphics[width=\textwidth]{Data/mnist7.pdf}
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\end{subfigure}
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\begin{subfigure}{0.19\textwidth}
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\includegraphics[width=\textwidth]{Data/mnist8.pdf}
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\end{subfigure}
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\begin{subfigure}{0.19\textwidth}
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\includegraphics[width=\textwidth]{Data/mnist9.pdf}
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\end{subfigure}
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\caption{The MNIST data set contains 70.000 images of preprocessed handwritten
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digits. Of these images 60.000 are used as training images, while
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the rest are used to validate the models trained.}
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\end{figure}
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\end{center}
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\begin{figure}
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\begin{adjustbox}{width=\textwidth}
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\begin{tikzpicture}
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\begin{scope}[x = (0:1cm), y=(90:1cm), z=(15:-0.5cm)]
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\node[canvas is xy plane at z=0, transform shape] at (0,0)
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{\includegraphics[width=5cm]{Data/klammern_r.jpg}};
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\node[canvas is xy plane at z=2, transform shape] at (0,-0.2)
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{\includegraphics[width=5cm]{Data/klammern_g.jpg}};
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\node[canvas is xy plane at z=4, transform shape] at (0,-0.4)
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{\includegraphics[width=5cm]{Data/klammern_b.jpg}};
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\node[canvas is xy plane at z=4, transform shape] at (-8,-0.2)
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{\includegraphics[width=5.3cm]{Data/klammern_rgb.jpg}};
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\end{scope}
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\end{tikzpicture}
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\end{adjustbox}
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\caption{On the right the red, green and blue chanels of the picture
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are displayed. In order to better visualize the color channes the
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black and white picture of each channel has been colored in the
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respective color. Combining the layers results in the image on the
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left}
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\end{figure}
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\begin{figure}
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\centering
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\begin{subfigure}{.45\linewidth}
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\centering
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\begin{tikzpicture}
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\begin{axis}[enlargelimits=false, ymin=0, ymax = 1, width=\textwidth]
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\addplot [domain=-5:5, samples=101,unbounded coords=jump]{1/(1+exp(-x)};
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\end{axis}
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\end{tikzpicture}
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\end{subfigure}
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\begin{subfigure}{.45\linewidth}
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\centering
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\begin{tikzpicture}
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\begin{axis}[enlargelimits=false, width=\textwidth]
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\addplot[domain=-5:5, samples=100]{tanh(x)};
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\end{axis}
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\end{tikzpicture}
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\end{subfigure}
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\begin{subfigure}{.45\linewidth}
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\centering
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\begin{tikzpicture}
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\begin{axis}[enlargelimits=false, width=\textwidth,
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ytick={0,2,4},yticklabels={\hphantom{4.}0,2,4}, ymin=-1]
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\addplot[domain=-5:5, samples=100]{max(0,x)};
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\end{axis}
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\end{tikzpicture}
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\end{subfigure}
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\begin{subfigure}{.45\linewidth}
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\centering
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\begin{tikzpicture}
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\begin{axis}[enlargelimits=false, width=\textwidth, ymin=-1,
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ytick={0,2,4},yticklabels={$\hphantom{-5.}0$,2,4}]
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\addplot[domain=-5:5, samples=100]{max(0,x)+ 0.1*min(0,x)};
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\end{axis}
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\end{tikzpicture}
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\end{subfigure}
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\end{figure}
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\begin{tikzpicture}
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\begin{axis}[enlargelimits=false]
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\addplot [domain=-5:5, samples=101,unbounded coords=jump]{1/(1+exp(-x)};
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\addplot[domain=-5:5, samples=100]{tanh(x)};
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\addplot[domain=-5:5, samples=100]{max(0,x)};
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\end{axis}
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\end{tikzpicture}
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\begin{tikzpicture}
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\begin{axis}[enlargelimits=false]
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\addplot[domain=-2*pi:2*pi, samples=100]{cos(deg(x))};
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\end{axis}
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\end{tikzpicture}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: t
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%%% End:
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