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A Convergence Theorem for the Fuzzy ISODATA Clustering Algorithms
Abstract
In this paper the convergence of a class of clustering procedures, popularly known as the fuzzy ISODATA algorithms, is established. The theory of Zangwill is used to prove that arbitrary sequences generated by these (Picard iteration) procedures always terminates at a local minimum, or at worst, always contains a subsequence which converges to a local minimum of the generalized least squares objective functional which defines the problem.
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Citations
Cited by
Unsupervised optimal fuzzy clustering
Gath, I., & Geva, A. B. (1989) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.192473 · Cited by 1,640
Bennett, D. A., Schneider, J. A., Wilson, R. S., Bienias, J. L., & Arnold, S. E. (2004) · Archives of Neurology · doi:10.1001/archneur.61.3.378 · Cited by 526
Relation of cognitive activity to risk of developing Alzheimer disease
Wilson, R. S., Scherr, P. A., Schneider, J. A., Tang, Y., & Bennett, D. A. (2007) · Neurology · doi:10.1212/01.wnl.0000271087.67782.cb · Cited by 400
Huang, J., Ma, H., Sedano, F., Lewis, P., Liang, S., Wu, Q., Su, W., Zhang, X., & Zhu, D. (2019) · European Journal of Agronomy · doi:10.1016/j.eja.2018.10.008 · Cited by 253
SLICE: determining cell differentiation and lineage based on single cell entropy
Guo, M., Bao, E. L., Wagner, M., Whitsett, J. A., & Xu, Y. (2016) · Nucleic Acids Research · doi:10.1093/nar/gkw1278 · Cited by 178
Metadata
- Authors
- Bezdek, J. C.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1980-01
- Volume
- PAMI-2
- Issue
- 1
- Pages
- 1-8
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W1994615541
- Cited by
- 980
- References
- 0
- FWCI
- 2.34
- Type
- journal article
- Language
- en
- Open access
- closed
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- Bezdek, J. C. (1980). A Convergence Theorem for the Fuzzy ISODATA Clustering Algorithms. IEEE Transactions on Pattern Analysis and Machine Intelligence. https://doi.org/10.1109/tpami.1980.4766964
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