[739] - Multiscale analysis of multivariate data

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Castano Diez, D., Jager, G., Kunoth, A., 2009. Multiscale analysis of multivariate data. In: Gürlebeck, K. and Könke, C. (Eds.): Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen. Proc. of 18th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, July 07 - 09, 2009, Weimar, Germany, 1 - 20.
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Title(s):Main Title: Multiscale analysis of multivariate data
Description(s):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.
Responsible Party
Creator(s):Author: Daniel Castano Diez
Author: Gabriela Jager
Author: Angela Kunoth
TR32 Topic:Other
Related Sub-project(s):C1, C7
Subject(s):CRC/TR32 Keywords: Scattered Data Fitting, Multiscale basis, Wavelet, Adaptivity, Least Squares Method, Regularization, Outlier Treatment, Harmonic Function, Geodesy
File Details
File Name:2009_Diez_IKM2009.pdf
Data Type:Text
Size(s):20 Pages
File Size:3575 kB (3.491 MB)
Date(s):Issued: 2009-07-07
Mime Type:application/pdf
Data Format:PDF
Download Permission:OnlyTR32
General Access and Use Conditions:For internal use only
Access Limitations:For internal use only
Licence:TR32DB Data policy agreement
North:-no map data
Measurement Region:None
Measurement Location:--None--
Specific Informations - Publication
Type:Event Paper
Proceedings Title:Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen
Proceedings Editor:Gürlebeck, K. and Könke, C.
Number Of Pages:20
Page Range:1 - 20
Event Name:18th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering
Event Type:Conference
Event Location:Weimar, Germany
Event Period:7th of July, 2009 - 9th of July, 2009
Metadata Details
Metadata Creator:Angela Kunoth
Metadata Created:2013-12-02
Metadata Last Updated:2015-05-07
Funding Phase:1
Metadata Language:English
Metadata Version:V41
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