Hierarchical Clustering for Finding Symmetries and Other Patterns in Massive, High Dimensional Datasets

@article{Murtagh2010HierarchicalCF,
  title={Hierarchical Clustering for Finding Symmetries and Other Patterns in Massive, High Dimensional Datasets},
  author={F. Murtagh and P. Contreras},
  journal={ArXiv},
  year={2010},
  volume={abs/1005.2638}
}
  • F. Murtagh, P. Contreras
  • Published 2010
  • Mathematics, Computer Science
  • ArXiv
  • Data analysis and data mining are concerned with unsupervised pattern finding and structure determination in data sets. “Structure” can be understood as symmetry and a range of symmetries are expressed by hierarchy. Such symmetries directly point to invariants, that pinpoint intrinsic properties of the data and of the background empirical domain of interest. We review many aspects of hierarchy here, including ultrametric topology, generalized ultrametric, linkages with lattices and other… CONTINUE READING
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