HOSVD based data representation and LPV model complexity reduction

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

In the framework of the paper a HOSVD-based approach is introduced for LPV model reduction and multidimensional data representation. By these approaches in case of model reduction the system matrix is expressed with the help of a so called core tensor and a system of specially determined polylinear orthonormal functions. Similar approach will be applied also in case of data representation. The paper gives a detailed description on how to determine the polylinear functions and the core tensor and how the model can be expressed and reduced with their help. Furthermore, the HOSVD-based domain proposed for data representation will be compared to the well known frequency domain - related to Fourier transformation - from the point of view of their common application possibilities and their effectiveness.

Original languageEnglish
Title of host publicationApplications of Mathematics and Computer Engineering - American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11
Pages164-169
Number of pages6
Publication statusPublished - Jun 17 2011
EventAmerican Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11 - Puerto Morelos, Mexico
Duration: Jan 29 2011Jan 31 2011

Publication series

NameApplications of Mathematics and Computer Engineering - American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11

Other

OtherAmerican Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11
CountryMexico
CityPuerto Morelos
Period1/29/111/31/11

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Keywords

  • Approximation
  • Data representation
  • HOSVD
  • LPV model reduction
  • Numerical reconstruction

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

Cite this

Rövid, A., Várlaki, P., & Szeidl, L. (2011). HOSVD based data representation and LPV model complexity reduction. In Applications of Mathematics and Computer Engineering - American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11 (pp. 164-169). (Applications of Mathematics and Computer Engineering - American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11).