Gaussian mixture models for the classification of high-dimensional vibrational spectroscopy data

Julien Jacques; Charles Bouveyron; Stéphane Girard; Olivier Devos; Ludovic Duponchel; Cyril Ruckebusch

Gaussian mixture models for the classification of high-dimensional vibrational spectroscopy data

Julien Jacques ¹ Charles Bouveyron ² Stéphane Girard ³ Olivier Devos ⁴ Ludovic Duponchel ⁴ Cyril Ruckebusch ⁴

1 LPP - Laboratoire Paul Painlevé

2 SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)

3 MISTIS - Modelling and Inference of Complex and Structured Stochastic Systems

Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble

4 LASIR - LAboratoire de Spectrochimie Infrarouge et Raman

Abstract : In this work, a family of generative Gaussian models designed for the supervised classification of high-dimensional data is presented as well as the associated classification method called High Dimensional Discriminant Analysis (HDDA). The advantages of these Gaussian models are: i) the representation of the input density model is smooth; ii) the data of each class are modeled in a specific subspace of low dimensionality; iii) each class may have its own covariance structure; iv) regularization is coupled to the classification criterion to avoid data over-fitting. To illustrate the abilities of the method, HDDA is applied on complex high-dimensional multi-class classification problems in mid-infrared and near infrared spectroscopy and compared to state-of-the-art methods.

keyword : model-based classification high-dimensional gaussian model generative model vibrational spectroscopy

Type de document :

Pré-publication, Document de travail

2010

Domaine :

Mathématiques [math] / Statistiques [math.ST]

Statistiques [stat] / Théorie [stat.TH]

Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00459947
Contributeur : Julien Jacques <>
Soumis le : jeudi 25 février 2010 - 15:42:10
Dernière modification le : vendredi 6 février 2015 - 13:14:11
Document(s) archivé(s) le : vendredi 18 juin 2010 - 21:55:20

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