Finite Inverted Beta-Liouville Mixture Models with Variational Component Splitting

  • Kamal MaanicshahEmail author
  • Muhammad Azam
  • Hieu Nguyen
  • Nizar Bouguila
  • Wentao Fan
Part of the Unsupervised and Semi-Supervised Learning book series (UNSESUL)


Use of mixture models to statistically approximate data has been an interesting topic of research in unsupervised learning methods. Mixture models based on exponential family of distributions have gained popularity in recent years. In this chapter, we introduce a finite mixture model based on Inverted Beta-Liouville distribution which has a higher degree of freedom to provide a better fit for the data. We use a variational learning framework to estimate the parameters which decreases the computational complexity of the model. We handle the problem of model selection with a component splitting approach which is an added advantage as it is done within the variational framework. We evaluate our model against some challenging applications like image clustering, speech clustering, spam image detection, and software defect detection.


Positive vectors Inverted Beta-Liouville Model selection Variational learning Component splitting 


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Kamal Maanicshah
    • 1
    Email author
  • Muhammad Azam
    • 2
  • Hieu Nguyen
    • 1
  • Nizar Bouguila
    • 1
  • Wentao Fan
    • 3
  1. 1.Concordia Institute for Information Systems EngineeringConcordia UniversityMontrealCanada
  2. 2.Department of Electrical and Computer Engineering (ECE)Concordia UniversityMontrealCanada
  3. 3.Department of Computer Science and TechnologyHuaqiao UniversityXiamenChina

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