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\bibliography{bibliograpy.bib} \numberwithin{figure}{section} \numberwithin{table}{section} \numberwithin{equation}{section} \sectionfont{\centering} \input{insbox} %\parindent0in \pagestyle{plain} \thispagestyle{plain} \newtheorem{Theorem}{Theorem}[section] \newtheorem{Definition}[Theorem]{Definition} \newtheorem{Lemma}[Theorem]{Lemma} \newtheorem{Algorithm}[Theorem]{Algorithm} \newtheorem{Example}[Theorem]{Example} \newtheorem{Assumption}[Theorem]{Assumption} \newtheorem{Proof}[Theorem]{Proof} \DeclareMathOperator*{\plim}{\mathbb{P}\text{-}\lim} \DeclareMathOperator{\supp}{supp} \DeclareMathOperator*{\argmin}{arg\,min} \DeclareMathOperator*{\argmax}{arg\,max} \DeclareMathOperator*{\po}{\mathbb{P}\text{-}\mathcal{O}} \DeclareMathOperator*{\equals}{=} \begin{document} \newcommand{\plimn}[0]{\plim\limits_{n \to \infty}} \newcommand{\norm}[1]{\left\lVert#1\right\rVert} \newcommand*\circled[1]{\tikz[baseline=(char.base)]{ \node[shape=circle,draw,inner sep=2pt] (char) {#1};}} \newcommand{\abs}[1]{\ensuremath{\left\vert#1\right\vert}} \newcommand\Tstrut{\rule{0pt}{2.6ex}} % = `top' strut \newcommand\Bstrut{\rule[-0.9ex]{0pt}{0pt}} % = `bottom' strut \SetKwInput{KwInput}{Input} %\newcommand{\myrightarrow}[1]{\xrightarrow{\makebox[2em][c]{$\scriptstyle#1$}}}‌ %Arndt Tobias \hfill 21.12.2017\newline %\textbf{Seminar Machine--Learning: Unsupervised %Learning} \newline %Institut für Mathematik der Universität %Augsburg\\ %Lehrstuhl für Rechnerorientierte Statistik und %Datenanalyse\\ \begin{center} \huge \textbf{Master Thesis}\\ \vspace{1cm} \Large \textbf{University Augsburg\\Department of Mathematics\\Chair of Computational Statistics and Data Analysis} \vspace{1cm} \end{center} \begin{figure}[h] \centering \includegraphics[scale=1.3]{Figures/Uni_Aug_Siegel_32Grad_schwarz.png} \end{figure} \begin{center} \vspace{1cm} \huge \textbf{Neural Networks and their Application on Higher Complexity Problems}\\ \vspace{1cm} \huge \textbf{Tim Tobias Arndt}\\ \vspace{1cm} \Large \textbf{October 2020} \end{center} \pagenumbering{gobble} \clearpage %\setcounter{tocdepth}{4} \tableofcontents \clearpage \listoffigures \listoftables \newpage \pagenumbering{arabic} % Introduction \input{introduction} \newpage % Introduction Neural Networks \input{introduction_nn} \newpage % Theorem 3.8 \input{theo_3_8} \newpage % Kapitel 4 \input{further_applications_of_nn} \newpage \DeclareNameAlias{sortname}{last-first} \printbibliography % Appendix A \input{appendixA.tex} \end{document} %%% Local Variables: %%% mode: latex %%% TeX-master: t %%% End: