silhouette_index

Version 1.1.0 (1.68 KB) by Ludmila Kuncheva
This code calculates the Silhouette cluster validity index . It can be used to determine the optimal number of clusters.
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Updated 15 Mar 2024

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The Silhouette index is an internal cluster validity index, which measures the quality of a partition. [Reference: P. J. Rousseeuw (1987). "Silhouettes: A Graphical Aid to the Interpretation and Validation of Cluster Analysis". Computational and Applied Mathematics. 20: 53–65. doi:10.1016/0377-0427(87)90125-7].
The Silhouette index varies between -1 and 1. Higher values signify a better partition.
See also https://en.wikipedia.org/wiki/Silhouette_(clustering)

Cite As

Ludmila Kuncheva (2026). silhouette_index (https://www.mathworks.com/matlabcentral/fileexchange/128654-silhouette_index), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2023a
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.1.0

The revised code guards against all cluster labels being the same. It returns index value -1 in this case. It also eliminates the problem of 1-element clusters.
1.0.0