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Online, Semi-online, and Offline K-medians algorithms are given. For both methods, the algorithms can be initialized randomly or with the help of a robust hierarchical clustering. The number of clusters can be selected with the help of a penalized criterion. We provide functions to provide robust clustering. Function gen_K() enables to generate a sample of data following a contaminated Gaussian mixture. Functions Kmedians() and Kmeans() consists in a K-median and a K-means algorithms while Kplot() enables to produce graph for both methods. Cardot, H., Cenac, P. and Zitt, P-A. (2013). "Efficient and fast estimation of the geometric median in Hilbert spaces with an averaged stochastic gradient algorithm". Bernoulli, 19, 18-43. <doi:10.3150/11-BEJ390>. Cardot, H. and Godichon-Baggioni, A. (2017). "Fast Estimation of the Median Covariation Matrix with Application to Online Robust Principal Components Analysis". Test, 26(3), 461-480 <doi:10.1007/s11749-016-0519-x>. Godichon-Baggioni, A. and Surendran, S. "A penalized criterion for selecting the number of clusters for K-medians" <doi:10.48550/arXiv.2209.03597> Vardi, Y. and Zhang, C.-H. (2000). "The multivariate L1-median and associated data depth". Proc. Natl. Acad. Sci. USA, 97(4):1423-1426. <doi:10.1073/pnas.97.4.1423>.
| Version: | 2.2.0 |
| Imports: | foreach, doParallel, parallel, genieclust, Gmedian, mvtnorm, capushe, ggplot2, reshape2 |
| Published: | 2023-12-18 |
| DOI: | 10.32614/CRAN.package.Kmedians |
| Author: | Antoine Godichon-Baggioni [aut, cre, cph], Sobihan Surendran [aut] |
| Maintainer: | Antoine Godichon-Baggioni <antoine.godichon_baggioni at upmc.fr> |
| License: | GPL-2 | GPL-3 [expanded from: GPL (≥ 2)] |
| NeedsCompilation: | no |
| CRAN checks: | Kmedians results |
| Reference manual: | Kmedians.pdf |
| Package source: | Kmedians_2.2.0.tar.gz |
| Windows binaries: | r-devel: Kmedians_2.2.0.zip, r-release: Kmedians_2.2.0.zip, r-oldrel: Kmedians_2.2.0.zip |
| macOS binaries: | r-release (arm64): Kmedians_2.2.0.tgz, r-oldrel (arm64): Kmedians_2.2.0.tgz, r-release (x86_64): Kmedians_2.2.0.tgz, r-oldrel (x86_64): Kmedians_2.2.0.tgz |
| Old sources: | Kmedians archive |
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