K-Medoids
K-Medoids ist eine Art von clustering algorithm that is used to partition a dataset into groups, or clusters, based on similarity. Unlike K-Mittelwerte, which uses centroids (the mean of the points in a cluster) to represent clusters, K-Medoids selects actual data points as the centers of these clusters, known as medoids. This approach makes K-Medoids more robust to noise and outliers in the data.
Der Algorithmus arbeitet in einigen Schritten:
- Initialisierung: Choose ‘k’ initial medoids randomly from the dataset.
- Zuordnung: Weisen Sie jeden Datenpunkt dem nächstgelegenen Medoid zu, um Cluster zu bilden.
- Aktualisierung: For each cluster, find the data point that minimizes the total dissimilarity (often measured using distance metrics like Manhattan or euklidische Distanz) zu allen anderen Punkten im Cluster. Dieser Punkt wird zum neuen Medoid.
- Wiederholung: Repeat the assignment and update steps until the medoids no longer change or a specified number of iterations is reached.
K-Medoids is particularly useful in scenarios where the dataset is small to medium-sized and when the presence of outliers could skew results. It is widely applied in various fields, including marketing for customer segmentation, biology for species classification, and der Bildverarbeitung für Mustererkennung.
Overall, K-Medoids provides a more stable clustering option compared to K-Means, especially in datasets where outliers are present, as it relies on actual data points rather than calculated averages.