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Elbow-Methode×Inertia×
FachgebietModellevaluationModellevaluation
FamilieMCDMMCDM
Entstehungsjahr19531967
UrheberRobert ThorndikeStuart Lloyd, James MacQueen
TypHeuristic optimization criterionClustering quality metric
Wegweisende QuelleHastie, T., Tibshirani, R., & Friedman, J. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer Series in Statistics. link ↗Lloyd, S. P. (1982). Least squares quantization in PCM. IEEE Transactions on Information Theory, 28(2), 129-137. DOI ↗
Aliasnamenelbow analysis, knee detectionWCSS, within-cluster sum of squares, cluster cohesion
Verwandt55
ZusammenfassungThe Elbow Method is a heuristic for selecting the optimal number of clusters in partitional clustering. Introduced by Robert Thorndike in 1953, it involves fitting clustering models for increasing numbers of clusters and plotting the within-cluster sum of squares (WCSS) against the number of clusters. The 'elbow' occurs where the rate of WCSS decrease sharply changes, suggesting an optimal cluster count.Inertia, also called Within-Cluster Sum of Squares (WCSS), is a measure of cluster cohesion that quantifies how tightly points are grouped around their cluster centroids. Lower values indicate more compact, cohesive clusters. Inertia is the primary objective function for k-means clustering and has been a fundamental metric since the method's introduction.
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ScholarGateMethoden vergleichen: Elbow Method · Inertia (Within-Cluster Sum of Squares). Abgerufen am 2026-06-17 von https://scholargate.app/de/compare