Multiscale analysis of multivariate data

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Title:Main Title: Multiscale analysis of multivariate data
Description:Abstract: For many applications, nonuniformly distributed functional data is given which lead to large–scale scattered data problems. We wish to represent the data in terms of a sparse representation with a minimal amount of degrees of freedom. For this, an adaptive scheme which operates in a coarse-to-fine fashion using a multiscale basis is proposed. Specifically, we investigate hierarchical bases using B-splines and spline-(pre)wavelets. At each stage a leastsquares approximation of the data is computed. We take into account different requests arising in large-scale scattered data fitting: we discuss the fast iterative solution of the least square systems, regularization of the data, and the treatment of outliers. A particular application concerns the approximate continuation of harmonic functions, an issue arising in geodesy.
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Creators:Daniel Castano Diez (Author), Gabriela Jager (Author), Angela Kunoth (Author)
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Publication Year:2013
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Filename:2009_Diez_IKM2009.pdf
Data Type:Text - Event Paper
Size:20 Pages
File Size:3.5 MB
Date:Issued: 07.07.2009
Mime Type:application/pdf
Data Format:PDF
Language:English
Status:Completed
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Download Permission:Only Project Members
General Access and Use Conditions:For internal use only
Access Limitations:For internal use only
Licence:[TR32DB] Data policy agreement
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Publication Status:Published
Review Status:Not peer reviewed
Publication Type:Event Paper
Proceedings Title:Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen
Number of Pages:20 (1 - 20)
Event:18th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering
Event Type:Conference
Event Location:Weimar, Germany
Event Duration:7th of July, 2009 - 9th of July, 2009
Metadata Details
Metadata Creator:Angela Kunoth
Metadata Created:02.12.2013
Metadata Last Updated:02.12.2013
Subproject:C1
Funding Phase:1
Metadata Language:English
Metadata Version:V50
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