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http://hdl.handle.net/11375/27608
Title: | Random Forest Analogues for Mixture Discriminant Analysis |
Authors: | Mallo, Muz |
Advisor: | McNicholas, Paul |
Department: | Mathematics and Statistics |
Keywords: | finite mixture models;Gaussian mixture models;ensemble methods;mixture discriminant analysis |
Abstract: | Finite mixture modelling is a powerful and well-developed paradigm, having proven useful in unsupervised learning and, to a lesser extent supervised learning (mixture discriminant analysis), especially in the case(s) of data with local variation and/or latent variables. It is the aim of this thesis to improve upon mixture discriminant analysis by introducing two types of random forest analogues which are called Mix- Forests. The first MixForest is based on Gaussian mixture models from the famous family of Gaussian parsimonious clustering models and will be useful in classify- ing lower dimensional data. The second MixForest extends the technique to higher dimensional data via the use of mixtures of factor analyzers from the well-known family of parsimonious Gaussian mixture models. MixForests will be utilized in the analysis of real data to demonstrate potential increases in classification accuracy as well as inferential procedures such as generalization error estimation and variable importance measures. |
URI: | http://hdl.handle.net/11375/27608 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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Mallo_Muz_201904_PhD.pdf | 5.21 MB | Adobe PDF | View/Open |
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