Session 6: On Contaminated Transformation Mixture Models

Presentation Type

Invited

Student

No

Track

Methodology

Abstract

Gaussian mixture models have been the most popular mixtures in literature for many decades. However, the adequacy of the fit provided by Gaussian components is often questioned due to skewness or heavy tails. Various distributions capable of modelling these features have recently been considered in the mixture modelling context. A contaminated transformation mixture model is introduced that is constructed based on the idea of transformation to symmetry. The proposed mixture can effectively account for skewness and heavy tails and automatically detect scatter by assigning such data points to secondary mixture components. The performance and promise of the proposed model are illustrated on synthetic data in various settings as well as popular classification data sets.

Start Date

2-6-2024 11:00 AM

End Date

2-6-2024 12:00 PM

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Feb 6th, 11:00 AM Feb 6th, 12:00 PM

Session 6: On Contaminated Transformation Mixture Models

Pasque 255

Gaussian mixture models have been the most popular mixtures in literature for many decades. However, the adequacy of the fit provided by Gaussian components is often questioned due to skewness or heavy tails. Various distributions capable of modelling these features have recently been considered in the mixture modelling context. A contaminated transformation mixture model is introduced that is constructed based on the idea of transformation to symmetry. The proposed mixture can effectively account for skewness and heavy tails and automatically detect scatter by assigning such data points to secondary mixture components. The performance and promise of the proposed model are illustrated on synthetic data in various settings as well as popular classification data sets.