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\markboth{Proseminar WS 18/19: Anthropomatik: Von der Theorie zur Anwendung}{Proseminar SS 16: Anthropomatik: Von der Theorie zur Anwendung}

% Hier den Titel des eigenen Proseminars eitnragen
\title{Discovery of Processes / Process Minining}

% Hier deinen eigenen Namen
\author{Maximilian Franz}


\begin{document}
\maketitle

% Zusammenfassung
\begin{abstract}
TODO
\end{abstract}

\section{Notes}
Preliminary Notes throughout research. \newline
\textbf{Possible Outline}
\begin{enumerate}
\item Introduction - Importance of ProcessMining
    \item Introduce the Task of Process Mining and Notation
    \item $\alpha$-algorithm
    \item Other algorithms
    \item comparison 
    \item implementation 
\end{enumerate}
\textbf{Possible Outline II}
\begin{enumerate}
    \item Introduction - Importance / Application
    \item Notation and Definition of Task 
    \item Problems of Process Mining
    \item One specific solution (Inductive) 
    \item Possible extension or implementation
    \item Related Work / Discussion 
\end{enumerate}

% Erster Abschnitt
\section{Introduction}
\begin{itemize}
    \item The importance and usage of process mining 
    \item The difficulties and problems of process mining
\end{itemize}
Errors of \textbf{Process Modelling} include
\begin{itemize}
    \item The model describes an idealized version of reality.
    \item Human behaviour cannot be captured in simple stated forms
    \item The model is at the wrong abstraction level. 
    \item Event Logs only contain positive examples, always.
    
\end{itemize}
Thus process mining can facilitate the construction of better models in less time \cite{process_mining}. \newline

\section{Notation and Terminology}
Introduce important notations in formula and terminology around processes

\begin{itemize}

    \item \textbf{Process} -  \textbf{Case}
    \item \textbf{Petri Nets} and WF-Nets 
    \item \textbf{Logs} and Data Notation
    \item \textbf{Process Discovery Problem Statement}
\end{itemize}
\textbf{Logs:} Events are $e \in \mathcal{E}$
\begin{figure}[!h]
    \centering
    \includegraphics[width=0.48\textwidth]{Bild.png}
    \caption{Hier kommen weitere Erklärungen zum Bild.}
    \label{fig:bild}
\end{figure}


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