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git-sandro 2026-01-25 13:43:01 +01:00
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zusammenfassung/zusammenfassung.md
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@ -329,8 +329,9 @@ Beispiel Silhouette Koeffizient für Punkt A1 berechnen:
</div> </div>
1. Cohesion für Punk A1 berechnen 1. Cohesion für Punk A1 berechnen
* cohesion a(x): durchschnittlicher Abstand von x zu allen anderen Vektoren im selben Cluster
$$ $$
cohesion = \frac{Euklidische Distanz zu Punkte im gleichen Cluster}{n} cohesion = \frac{\sum_{i=1}^k\sqrt{\sum_{i=1}^{n} (x_i-y_i)^2}}{k}
$$ $$
$$ $$
d(A1,A2)=\sqrt{(2-3)^2+(5-4)^2}=\sqrt{2} d(A1,A2)=\sqrt{(2-3)^2+(5-4)^2}=\sqrt{2}
@ -339,5 +340,5 @@ $$
d(A1,A2)=\sqrt{(2-4)^2+(5-6)^2}=\sqrt{5} d(A1,A2)=\sqrt{(2-4)^2+(5-6)^2}=\sqrt{5}
$$ $$
$$ $$
cohesion(A1)=\frac{\sqrt{2}+\sqrt{5}}{2}=1.825 cohesion(A1)=a(A1)=\frac{\sqrt{2}+\sqrt{5}}{2}=1.825
$$ $$