Some difficulties with soft k-means
• If we measure distances in centimeters instead of inches
we get different soft assignments.
– It would be much better to have a method that is
invariant under linear transformations of the data
space (scaling, rotating ,elongating)
• Clusters are not always round.
– It would be good to allow different shapes for different
clusters.
• Sometimes its better to cluster by using low-density
regions to define the boundaries between clusters rather
than using high-density regions to define the centers of
clusters.