You are using K-Means clustering on a dataset with varying densities among clusters. How might this affect the choice of centroid initialization method?

  • Initializing centroids randomly without consideration to density
  • Varying densities have no impact on initialization
  • Varying densities necessitate careful centroid initialization
  • Varying densities require different distance metrics
When working with varying densities among clusters, careful centroid initialization is needed to ensure that the K-Means algorithm doesn't bias toward denser clusters. The selection of initial centroids can have a significant impact on the final clustering when densities vary widely.
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