2022-11-21 13:27:25 +01:00
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\title[Anomaly Detection and AutoML]{Lets go deeper!}
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\author{Simon Kluettermann}
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\date{\today}
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\institute{ls9 tu Dortmund}
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\begin{document}
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%from file ../case3/data/000.txt
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\centering
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{\huge\bfseries \par}
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\vspace{2cm}
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{\LARGE\itshape Simon Kluettermann\par}
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\vspace{1.5cm}
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{\scshape\Large Master Thesis in Physics\par}
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\vspace{0.2cm}
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{\Large submitted to the \par}
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{\scshape\Large Faculty of Mathematics Computer Science and Natural Sciences \par}
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{\Large \par}
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{\scshape\Large RWTH Aachen University}
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{\scshape\Large Department of Physics\par}
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{\scshape\Large Insitute for theoretical Particle Physics and Cosmology\par}
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\vspace{0.2cm}
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{ \Large\par}
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\vspace{0.2cm}
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{\Large First Referee: Prof. Dr. Michael Kraemer \par}
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{\Large Second Referee: Prof. Dr. Felix Kahlhoefer}
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\vfill
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{\large November 2020 \par}
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%from file ../case3/data/001reminder.txt
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\begin{frame}[label=reminder]
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\frametitle{reminder}
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\begin{itemize}
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\item No Case Study next week
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\begin{itemize}
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\item neither Tuesday (29.11) nor Thursday (01.12)
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\item if you need help: just write me an email!
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\end{itemize}
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\item In two weeks: Case Study switched
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\begin{itemize}
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\item Q+A Tuesday (6.12, 14:00) online only
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\item Case Study Meeting Thursday (08.12, 14:00-16:00), in OH12 Room 3.032
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\end{itemize}
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\end{itemize}
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\end{frame}
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%from file ../case3/data/002Big Picture.txt
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\begin{frame}[label=Big Picture]
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\frametitle{Big Picture}
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\begin{itemize}
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\item Goal for this case study: Have better hyperparameters than pyod!
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\item So each of you: Gets assigned two algorithms!
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\begin{itemize}
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\item One fairly simple before
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\item One more complicated one today
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\end{itemize}
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\item Try to find the best possible hyperparameters for your algorithms
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\begin{itemize}
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\item Try to be clever (for example: PCA: $n_{components}<n_{features}$. Maybe $\frac{n_{components}}{n_{features}}$ constant?
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\end{itemize}
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\item Afterwards
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\begin{itemize}
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\item Write down your findings into a simple function (given data, what are my best hyperparameters)
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2022-11-21 13:32:03 +01:00
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\item Write down your finding into a report (together, double collumn. max 6 Pages per student, plus comparison of algorithms to each other)
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2022-11-21 13:27:25 +01:00
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\item One final presentation together in front of my colleagues. About 10min per student.
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\end{itemize}
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\end{itemize}
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\end{frame}
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%from file ../case3/data/003Evaluating your hyperparameter.txt
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\begin{frame}[label=Evaluating your hyperparameter]
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\frametitle{Evaluating your hyperparameter}
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\begin{itemize}
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\item My suggestion: Compare to normal parameters.
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\item This means you get two lists of AUC scores
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\item Your params: [0.80,0.75,0.73,....,0.95]
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\item Pyod params: [0.82,0.71,0.48,....,0.95]
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\item look at two values
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\item $\sum_i your_i-pyod_i$
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\begin{itemize}
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\item Total improvment. If positive, then your parameters help;)
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\item But hard to see if this is significant
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\end{itemize}
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\item Fraction of $your_i>pyod_i$
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\begin{itemize}
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\item Quantised, so does not care about improving your parameters further
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\item But easy to see if this is significant
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\begin{itemize}
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\item 0.5$\Rightarrow$Probably just random
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\item 0.9$\Rightarrow$Probably quite significant
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\end{itemize}
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\end{itemize}
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\end{itemize}
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\end{frame}
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%from file ../case3/data/004How to continue.txt
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\begin{frame}[label=How to continue]
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\frametitle{How to continue}
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\begin{itemize}
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\item See how far you can improve this?
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\item Treat this as a supervised optimisation problem: Given this dataset, find the best hyperparameters
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\item Might be useful to look at more input parameters
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\item Might help to formulate your parameters differently
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\item But be aware of \textbf{overfitting}!
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\end{itemize}
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\end{frame}
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%from file ../case3/data/005Intro to Deep Learning.txt
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\begin{frame}[label=Intro to Deep Learning]
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\frametitle{Intro to Deep Learning}
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\begin{figure}[H]
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\centering
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\includegraphics[width=0.9\textwidth]{..//prep/05Intro_to_Deep_Learning/adsasda.png}
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\label{fig:prep05Intro_to_Deep_Learningadsasdapng}
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\end{figure}
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\end{frame}
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%from file ../case3/data/006Intro to Deep Learning.txt
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\begin{frame}[label=Intro to Deep Learning]
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\frametitle{Intro to Deep Learning}
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\begin{figure}[H]
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\centering
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\includegraphics[width=0.9\textwidth]{..//prep/06Intro_to_Deep_Learning/adsasd.png}
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\label{fig:prep06Intro_to_Deep_Learningadsasdpng}
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\end{figure}
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\end{frame}
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%from file ../case3/data/007Intro to Deep Learning.txt
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\begin{frame}[label=Intro to Deep Learning]
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\frametitle{Intro to Deep Learning}
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\begin{itemize}
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\item The idea is always the same:
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\begin{itemize}
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\item Define complicated model to learn (often millions of parameters)
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\item Define loss function that this model should minimize (example: $\sum_i (y_i-f(x_i))^2$)
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\item Find parameters that minimize the loss ($\Rightarrow$Backpropagation)
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\end{itemize}
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\item Usually Neural Networks:
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\begin{itemize}
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\item $f(x)=f_n(x)=activation(A_n\cdot f_{n-1}(x)+b_n)$
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\item $f_0(x)=x$
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\end{itemize}
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\item Powerful, as you can show that when there are 3 Layers+ (and infinitely sized matrices), you can approximate any function
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\item $\Rightarrow$So a model becomes a loss function
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\end{itemize}
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\end{frame}
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%from file ../case3/data/008Autoencoder.txt
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\begin{frame}[label=Autoencoder]
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\frametitle{Autoencoder}
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\begin{figure}[H]
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\centering
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\includegraphics[width=0.9\textwidth]{..//prep/08Autoencoder/ae.png}
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\label{fig:prep08Autoencoderaepng}
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\end{figure}
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\end{frame}
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%from file ../case3/data/009Autoencoder.txt
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\begin{frame}[label=Autoencoder]
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\frametitle{Autoencoder}
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\begin{itemize}
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\item Lets look at some of its Hyperparameters
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\item Autoencoder Specific
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\begin{itemize}
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\item Compression factor (Latent space size)
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\item Loss function (mse?)
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\end{itemize}
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\item Neural Network architecture
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\begin{itemize}
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\item Number of layers
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\item Number of neurons in each layer (Shape of the matrices $A_n$)
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\end{itemize}
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\item Optimisation parameters
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\begin{itemize}
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\item Learning Rate
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\begin{itemize}
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\item Controls how fast the parameters are found
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\item To high value makes the training unstable
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\end{itemize}
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\item Batch size
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\begin{itemize}
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\item Controls how many samples are averaged together.
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\item Lower values make the training more stable, but also the result less optimal
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\end{itemize}
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\end{itemize}
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\end{itemize}
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\end{frame}
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%from file ../case3/data/010For next time.txt
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\begin{frame}[label=For next time]
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\frametitle{For next time}
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\begin{itemize}
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\item (if you have not finished finding good parameters for your old algorithm, continue searching for them)
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\item Take a look at your new algorithm
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\item Run it once on cardio, take a look at which parameters you have
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\item Prepare a similar presentation to last time (include your cardio result)
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\end{itemize}
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\end{frame}
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\end{document}
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