Validating clusters using the Hopkins statistic
@article{Banerjee2004ValidatingCU, title={Validating clusters using the Hopkins statistic}, author={A. Banerjee and R. Dav{\'e}}, journal={2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542)}, year={2004}, volume={1}, pages={149-153 vol.1} }
A novel scheme for cluster validity using a test for random position hypothesis is proposed. The random position hypothesis is tested against an alternative clustered hypothesis on every cluster produced by a partitioning algorithm. A test statistic such as the well-known Hopkins statistic could be used as a basis to accept or reject the random position hypothesis, which is also the null hypothesis in this case. The Hopkins statistic is known to be a fair estimator of randomness in a data set… CONTINUE READING
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References
SHOWING 1-10 OF 32 REFERENCES
A Validity Measure for Fuzzy Clustering
- Mathematics, Computer Science
- IEEE Trans. Pattern Anal. Mach. Intell.
- 1991
- 2,963
Visual cluster validity (VCV) displays for prototype generator clustering methods
- Mathematics, Computer Science
- The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03.
- 2003
- 10
Cluster Validity for the Fuzzy c-Means Clustering Algorithrm
- Mathematics, Medicine
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- 1982
- 212
Validating fuzzy partitions obtained through c-shells clustering
- Mathematics, Computer Science
- Pattern Recognit. Lett.
- 1996
- 232
A test for spatial pattern at several scales using data from a grid of contiguous quadrats.
- Computer Science
- 1974
- 115