Variable selection and updating in model-based discriminant analysis for high dimensional data with food authenticity applications
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|Title:||Variable selection and updating in model-based discriminant analysis for high dimensional data with food authenticity applications||Authors:||Murphy, Thomas Brendan
Raftery, Adrian E.
|Permanent link:||http://hdl.handle.net/10197/2884||Date:||Mar-2010||Abstract:||Food authenticity studies are concerned with determining if food samples have been correctly labelled or not. Discriminant analysis methods are an integral part of the methodology for food authentication. Motivated by food authenticity applications, a model-based discriminant analysis method that includes variable selection is presented. The discriminant analysis model is fitted in a semi-supervised manner using both labeled and unlabeled data. The method is shown to give excellent classification performance on several high-dimensional multiclass food authenticity datasets with more variables than observations. The variables selected by the proposed method provide information about which variables are meaningful for classification purposes. A headlong search strategy for variable selection is shown to be efficient in terms of computation and achieves excellent classification performance. In applications to several food authenticity datasets, our proposed method outperformed default implementations of Random Forests, AdaBoost, transductive SVMs and Bayesian Multinomial Regression by substantial margins.||Funding Details:||Science Foundation Ireland||Type of material:||Journal Article||Publisher:||Institute of Mathematical Statistics||Journal:||Annals of Applied Statistics||Volume:||4||Issue:||1||Start page:||396||End page:||421||Copyright (published version):||2010 The Institute of Mathematical Statistics||Keywords:||Food authenticity studies; Headlong search; Model-based discriminant analysis; Normal mixture models; Semi-supervised learning; Updating classification rules; Variable selection||Subject LCSH:||Discriminant analysis
Food law and legislation
|DOI:||10.1214/09-AOAS279||Other versions:||http://projecteuclid.org/euclid.aoas/1273584460||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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