Dimensionality reduction of full fields by the principal components analysis

Christian Gogu; Raphael T. Haftka; Rodolphe Le Riche; Jérôme Molimard; Alain Vautrin

Conference papers

Dimensionality reduction of full fields by the principal components analysis

Christian Gogu ^{1, 2, 3} Raphael T. Haftka ⁴ Rodolphe Le Riche ^{5, 6, 7, 8, 9, 10, 11} Jérôme Molimard ^{1, 3} Alain Vautrin ^{1, 3}

1 MPE-ENSMSE - Département Mécanique et Procédés d'Elaboration

2 Département d'Ingénierie Mécanique et Aérospatiale

3 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

4 UF|MAE - Department of Mechanical and Aerospace Engineering [Gainesville]

5 CROCUS-ENSMSE - Equipe : Calcul de Risque, Optimisation et Calage par Utilisation de Simulateurs

6 PECM-ENSMSE - Plasticité, Endommagement et Corrosion des Matériaux

7 LCG-ENSMSE - UMR 5146 - Laboratoire Claude Goux

8 Mines Saint-Étienne MSE - École des Mines de Saint-Étienne

9 SITE-ENSMSE - Centre Sciences, Information et Technologies pour l'Environnement

10 CNRS - Centre National de la Recherche Scientifique

11 DEMO-ENSMSE - Département Décision en Entreprise : Modélisation, Optimisation

Abstract : The principal components analysis is applied to simulated full field displacement maps of 4569 measurement points thus allowing representation of any field within a certain domain as a linear combination of five basis vectors without losing significant information. A dimensionality reduction from 4569 to only 5 is thus achieved.

Keywords : optical full field methods dimensionality reduction principal component analysis

Document type :

Conference papers

Domain :

Computer Science [cs] / Modeling and Simulation

Engineering Sciences [physics] / Mechanics [physics.med-ph]

Engineering Sciences [physics] / Materials

Complete list of metadata

https://hal-emse.ccsd.cnrs.fr/emse-00686753
Contributor : Florent Breuil Connect in order to contact the contributor
Submitted on : Wednesday, April 11, 2012 - 10:46:36 AM
Last modification on : Sunday, June 26, 2022 - 2:02:33 AM

Dimensionality reduction of full fields by the principal components analysis

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Dimensionality reduction of full fields by the principal components analysis

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