Clustering on the Unit Hypersphere using von Mises-Fisher Distributions

@article{Banerjee2005ClusteringOT,
  title={Clustering on the Unit Hypersphere using von Mises-Fisher Distributions},
  author={Arindam Banerjee and Inderjit S. Dhillon and Joydeep Ghosh and Suvrit Sra},
  journal={Journal of Machine Learning Research},
  year={2005},
  volume={6},
  pages={1345-1382}
}
Several large scale data mining applications, such as text c ategorization and gene expression analysis, involve high-dimensional data that is also inherentl y directional in nature. Often such data is L2 normalized so that it lies on the surface of a unit hyperspher e. Popular models such as (mixtures of) multi-variate Gaussians are inadequate for characteri zing such data. This paper proposes a generative mixture-model approach to clustering directional data based on the von Mises-Fisher (vMF… CONTINUE READING
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