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Advances in Data Analysis and Classification

Erschienen in:

01.09.2014 | Regular Article

Principal differential analysis of the Aneurisk65 data set

verfasst von: Matilde Dalla Rosa, Laura M. Sangalli, Simone Vantini

Erschienen in: Advances in Data Analysis and Classification | Ausgabe 3/2014

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Abstract

We explore the use of principal differential analysis as a tool for performing dimensional reduction of functional data sets. In particular, we compare the results provided by principal differential analysis and by functional principal component analysis in the dimensional reduction of three synthetic data sets, and of a real data set concerning 65 three-dimensional cerebral geometries, the AneuRisk65 data set. The analyses show that principal differential analysis can provide an alternative and effective representation of functional data, easily interpretable in terms of exponential, sinusoidal, or damped-sinusoidal functions and providing a different insight to the functional data set under investigation. Moreover, in the analysis of the AneuRisk65 data set, principal differential analysis is able to detect interesting features of the data, such as the rippling effect of the vessel surface, that functional principal component analysis is not able to detect.

Vorheriger Artikel Spatial functional normal mixed effect approach for curve classification

Nächster Artikel Hilbertian spatial periodically correlated first order autoregressive models

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The project involved MOX Laboratory for Modeling and Scientific Computing (Dip. di Matematica, Politecnico di Milano), Laboratory of Biological Structure Mechanics (Dip. di Ingegneria Strutturale, Politecnico di Milano), Istituto Mario Negri (Ranica), Ospedale Niguarda Ca? Granda (Milano) and Ospedale Maggiore Policlinico (Milano), and has been supported by Fondazione Politecnico di Milano and Siemens Medical Solutions Italia. Detailed descriptions of the project’s aims can be found at AneuRisk webpage http://mox.polimi.it/it/progetti/aneurisk/, where AneuRisk65 data can be downloaded. These data include the image reconstructions of one of the main cerebral vessels, the Inner Carotid Artery (ICA), described in terms of the vessel centreline and of the vessel radius profile. An increasing data warehouse concerning aneurysm pathology can be accessed from the AneuRisk Web Repository http://ecm2.mathcs.emory.edu/aneurisk managed by Emory University and Orobix.

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Titel: Principal differential analysis of the Aneurisk65 data set
verfasst von: Matilde Dalla Rosa
Laura M. Sangalli
Simone Vantini
Publikationsdatum: 01.09.2014
Verlag: Springer Berlin Heidelberg
Erschienen in: Advances in Data Analysis and Classification / Ausgabe 3/2014
Print ISSN: 1862-5347
Elektronische ISSN: 1862-5355
DOI: https://doi.org/10.1007/s11634-014-0175-5

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