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\title [u-Opt] { Unsupervised Optimisation - Paper Structure}
\author { Simon Kluettermann}
\date { \today }
\institute { ls9 tu Dortmund}
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\begin { document}
%from file ../uopt/data/000.txt
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\centering
{ \huge \bfseries \par }
\vspace { 2cm}
{ \LARGE \itshape Simon Kluettermann\par }
\vspace { 1.5cm}
{ \scshape \Large Master Thesis in Physics\par }
\vspace { 0.2cm}
{ \Large submitted to the \par }
\vspace { 0.2cm}
{ \scshape \Large Faculty of Mathematics Computer Science and Natural Sciences \par }
\vspace { 0.2cm}
{ \Large \par }
\vspace { 0.2cm}
{ \scshape \Large RWTH Aachen University}
\vspace { 1cm}
\vfill
{ \scshape \Large Department of Physics\par }
\vspace { 0.2cm}
{ \scshape \Large Insitute for theoretical Particle Physics and Cosmology\par }
\vspace { 0.2cm}
{ \Large \par }
\vspace { 0.2cm}
{ \Large First Referee: Prof. Dr. Michael Kraemer \par }
{ \Large Second Referee: Prof. Dr. Felix Kahlhoefer}
\vfill
% Bottom of the page
{ \large November 2020 \par }
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%from file ../uopt/data/001Task.txt
\begin { frame} [label=Task]
\frametitle { Task}
\begin { figure} [H]
\centering
\includegraphics [height=0.9\textheight] { ../prep/01Task/table.jpg}
\label { fig:prep01Tasktablejpg}
\end { figure}
\end { frame}
%from file ../uopt/data/002Intro.txt
\begin { frame} [label=Intro]
\frametitle { Intro}
\begin { itemize}
\item Motivation
\begin { itemize}
\item AD is super important...
\item good AD = complicated models $ \Rightarrow $ Many Parameters
\item Evaluation dependent on very few datapoints$ \Rightarrow $ Optimization impossible
\end { itemize}
\item Open Challenges
\begin { itemize}
\item Evaluate without testing data
\item Formalisation of existing ideas
\item Numerical assessment of them
\end { itemize}
\item Contribution
\begin { itemize}
\item Suggest new methods for AE
\item Compare methods on many datasets
\item Seperate into parameter and hyperparameter optimisation
\end { itemize}
\end { itemize}
\end { frame}
%from file ../uopt/data/003RW.txt
\begin { frame} [label=RW]
\frametitle { RW}
\begin { figure} [H]
\centering
\includegraphics [height=0.9\textheight] { ../prep/04RW/graph.png}
\label { fig:prep04RWgraphpng}
\end { figure}
\end { frame}
%from file ../uopt/data/004RW.txt
\begin { frame} [label=RW]
\frametitle { RW}
\begin { figure} [H]
\centering
\includegraphics [height=0.9\textheight] { ../prep/05RW/graph.png}
\label { fig:prep05RWgraphpng}
\end { figure}
\end { frame}
%from file ../uopt/data/005But....txt
\begin { frame} [label=But...]
\frametitle { But...}
\begin { figure} [H]
\centering
\includegraphics [height=0.9\textheight] { ../prep/06But.../graph.png}
\label { fig:prep06Butgraphpng}
\end { figure}
\end { frame}
%from file ../uopt/data/006Problem Statement.txt
\begin { frame} [label=Problem Statement]
\frametitle { Problem Statement}
\begin { itemize}
\item Given $ N $ Anomaly detection methods $ M _ i = TrainModel ( X _ { train } ) $ , find $ f ( M _ i ) $ so that Score $ S _ i = f ( M _ i ) $ can be used to find an above average AD method $ M _ { argmax ( S ) } $ .
\item Let $ TrainMany ( X _ { train } ,C ) = TrainModel ( X _ { train } ) _ { argmax ( f ( M _ 0 ...M _ C ) ) } $ . We assume the distribution of $ TrainMany $ to be gaussian and describe it through $ \mu _ C $ and $ \sigma _ C $ . We consider a function $ f ( M ) $ to be helpful, if $ \Delta = \frac { sqrt ( N ) \cdot ( \mu _ C - \mu _ 1 ) } { sqrt ( \sigma _ C ^ 2 + \sigma _ 1 ^ 2 ) } > 3 $ for some number of models tested $ N $ .
\end { itemize}
\end { frame}
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%from file ../uopt/data/007Impossible.txt
\begin { frame} [label=Impossible]
\frametitle { Impossible}
\begin { figure} [H]
\centering
\includegraphics [height=0.9\textheight] { ../prep/08Impossible/impos.pdf}
\label { fig:prep08Impossibleimpospdf}
\end { figure}
\end { frame}
%from file ../uopt/data/008Blob.txt
\begin { frame} [label=Blob]
\frametitle { Blob}
\begin { figure} [H]
\centering
\includegraphics [height=0.9\textheight] { ../prep/09Blob/blob_ cardio.png}
\label { fig:prep09Blobblob_ cardiopng}
\end { figure}
\end { frame}
%from file ../uopt/data/009Blob.txt
\begin { frame} [label=Blob]
\frametitle { Blob}
\begin { figure} [H]
\centering
\includegraphics [height=0.9\textheight] { ../prep/10Blob/blob_ page-blocks.png}
\label { fig:prep10Blobblob_ page-blockspng}
\end { figure}
\end { frame}
%from file ../uopt/data/010One Dataset.txt
\begin { frame} [label=One Dataset]
\frametitle { One Dataset}
\begin { figure} [H]
\centering
\includegraphics [height=0.9\textheight] { ../prep/12One Dataset/histone_ page-blocks.pdf}
\label { fig:prep12One Datasethistone_ page-blockspdf}
\end { figure}
\end { frame}
%from file ../uopt/data/011Many Datasets.txt
\begin { frame} [label=Many Datasets]
\frametitle { Many Datasets}
\begin { figure} [H]
\centering
\includegraphics [height=0.9\textheight] { ../prep/13Many Datasets/z_ robu.pdf}
\label { fig:prep13Many Datasetsz_ robupdf}
\end { figure}
\end { frame}
%from file ../uopt/data/012Afterwards.txt
\begin { frame} [label=Afterwards]
\frametitle { Afterwards}
\begin { itemize}
\item Afterwards:
\item Table: Fraction of positive impro, Average impro
\item Correlation between optimizers
\item Hyperparam: Same table
\item Improvement by hyperparameter (latent dim is different from batch size)
\end { itemize}
\end { frame}
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\end { document}