From 44ef8004ad4867210fc00395ffa63cb606a9e0aa Mon Sep 17 00:00:00 2001 From: paul-loedige Date: Wed, 27 Jan 2021 16:07:35 +0100 Subject: [PATCH] =?UTF-8?q?hierachische=20Verfahren=20hinzugef=C3=BCgt?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../Hierachische Verfahren.tex | 30 ++++++++++++++++++ images/average-link.png | Bin 0 -> 37396 bytes images/centroid-distance.png | Bin 0 -> 44143 bytes images/complete-link.png | Bin 0 -> 33733 bytes images/dendogramm.png | Bin 0 -> 19567 bytes images/hierachische Verfahren.png | Bin 0 -> 132611 bytes images/single-link.png | Bin 0 -> 30918 bytes parts/Supervised Learning.tex | 3 +- 8 files changed, 32 insertions(+), 1 deletion(-) create mode 100644 chapters/Supervised Learning/Hierachische Verfahren.tex create mode 100644 images/average-link.png create mode 100644 images/centroid-distance.png create mode 100644 images/complete-link.png create mode 100644 images/dendogramm.png create mode 100644 images/hierachische Verfahren.png create mode 100644 images/single-link.png diff --git a/chapters/Supervised Learning/Hierachische Verfahren.tex b/chapters/Supervised Learning/Hierachische Verfahren.tex new file mode 100644 index 0000000..cdb8bba --- /dev/null +++ b/chapters/Supervised Learning/Hierachische Verfahren.tex @@ -0,0 +1,30 @@ +\chapter{Hierachische Verfahren} + \includegraphics[width = \textwidth]{hierachische Verfahren.png} + Eine hierarchische Clusterung lässt sich mithilfe eines Dendogramms darstellen:\\ + \includegraphics[width=.6\textwidth]{dendogramm.png} + + \section{Algorithmus} + \begin{enumerate} + \item erzeuge für jeden Punkt aus dem Datensatz ein separates Cluster + \item Berechne den Abstand zwischen allen Clustern + \item Verschmelze die beiden Cluster, die den geringsten Abstand zueinander haben + \item Aktualisiere die Distanzen zwischen den Clustern bis alle Punkte in dem gleichen Cluster liegen + \item goto 3. + \end{enumerate} + Meistens wird in den Algorithmus eine Abbruchbedingung eingebaut, damit nicht alle Elemente in dem gleichen Cluster zusammengefasst werden. + Diese Abbruchbedingung definiert sich über den maximalen Abstand der Elemente in einem Cluster. + + \section{Abstand zwischen Clustern} + Es gibt mehrer Möglichkeiten um den Abstand zwischen zwei Clustern festzustellen + + \paragraph{Single Link}\mbox{}\\ + \includegraphics[width=.8\textwidth]{single-link.png} + + \paragraph{Complete Link}\mbox{}\\ + \includegraphics[width=.8\textwidth]{complete-link.png} + + \paragraph{Average Link}\mbox{}\\ + \includegraphics[width=.8\textwidth]{average-link.png} + + \paragraph{Abstand der Zentroide der beiden Cluster}\mbox{}\\ + \includegraphics[width=.8\textwidth]{centroid-distance.png} \ No newline at end of file diff --git a/images/average-link.png b/images/average-link.png new file mode 100644 index 0000000000000000000000000000000000000000..580146785f5f07a1bb7a1ee9b16edbf9d63604eb GIT binary patch literal 37396 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