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Directional Data Classification Using a Hierarchical Model of Von Mises Distribution

Published: 29 March 2017 Publication History

Abstract

The von Mises distribution1 vM--pdf is a continuous probability distribution on the circle used in directional statistics. A mixture model of von Mises distribution, which is broad enough to cover symmetry as well as asymmetry, unimodality as well as multimodality of circular data. In this paper we use a model comprised of a hierarchical von Mises mixture distribution mode HmvM -- pdf where we consider each class is itself the result of a mixture of subclasses. The parameters of our model are estimated using the expectation maximization algorithm EM modified. The HmvM -- pdf model achieves higher accuracy than the mvM model and offer a rich modeling. The suitability of the distributions is judged from the coefficient of determination R2.

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cover image ACM Other conferences
BDCA'17: Proceedings of the 2nd international Conference on Big Data, Cloud and Applications
March 2017
685 pages
ISBN:9781450348522
DOI:10.1145/3090354
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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  • Ministère de I'enseignement supérieur: Ministère de I'enseignement supérieur

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Published: 29 March 2017

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  1. Cross validation
  2. EM algorithm modified
  3. Hierarchical von Mises mixture distribution model
  4. Kernel estimation
  5. Von Mises mixture
  6. coefficient of determination R2

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