Multiscale analysis of multivariate data
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Identification
| 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. |
Responsible Party
| Creators: | Daniel Castano Diez (Author), Gabriela Jager (Author), Angela Kunoth (Author) |
| Publisher: | - |
| Publication Year: | 2013 |
Topic
| TR32 Topic: | Other |
| Related Subprojects: | C1, C7 |
| Subjects: | Keywords: Scattered Data Fitting, Multiscale basis, Wavelet, Adaptivity, Least Squares Method, Regularization, Outlier Treatment, Harmonic Function, Geodesy |
File Details
| 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: | |
| Language: | English |
| Status: | Completed |
Constraints
| 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 |
Geographic
Specific Information - Publication
| 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| Review Status: | Not peer reviewed |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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Dataset Statistics
| Page Visits: | 842 |
| Metadata Downloads: | 0 |
| Dataset Downloads: | 2 |
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