Harmonic Mean of Euclidean Distance
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Harmonic Mean of Euclidean Distance
K means cluster algorithm try to partition data in an r-dimensional feature space into K groups minimizing the average distance in that space. Using the Euclidean Distance as metric the r-dimensional space will be divided by r-1 dimensional hyperplanes. So if I am in a 3-Dimensional Space, the algorithm partition my space with planes. If instead of using the minimization of the Euclidean Distance, I use the Harmonic Mean of the Euclidean Distance, my space is partitioned the same with planes or not?