# A Novel Algorithm for Clustering of Data on the Unit Sphere via Mixture Models

@article{Nguyen2017ANA, title={A Novel Algorithm for Clustering of Data on the Unit Sphere via Mixture Models}, author={Hien Duy Nguyen}, journal={arXiv: Computation}, year={2017} }

A new maximum approximate likelihood (ML) estimation algorithm for the mixture of Kent distribution is proposed. The new algorithm is constructed via the BSLM (block successive lower-bound maximization) framework and incorporates manifold optimization procedures within it. The BSLM algorithm is iterative and monotonically increases the approximate log-likelihood function in each step. Under mild regularity conditions, the BSLM algorithm is proved to be convergent and the approximate ML…

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