liu.seSearch for publications in DiVA
Endre søk
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Dimensionality Reduction and Volume Minimization: Generalization of the Determinant Minimization Criterion for Reduced Rank Regression Problems
Linköpings universitet, Tekniska högskolan. Linköpings universitet, Matematiska institutionen, Beräkningsvetenskap.ORCID-id: 0000-0002-1542-2690
2005 (engelsk)Rapport (Annet vitenskapelig)
Abstract [en]

In this article we propose a generalization of the determinant minimization criterion. The problem of minimizing the determinant of a matrix expression has implicit assumptions that the objective matrix is always nonsingular. In case of singular objective matrix the determinant would be zero and the minimization problem would be meaningless. To be able to handle all possible cases we generalize the determinant criterion to rank reduction and volume minimization of the objective matrix. The generalized minimization criterion is used to solve the following ordinary reduced rank regression problem:minrank(X)=kdet(B-XA)(B-XA)T,where A and B are known and X is to be determined. This problem is often encountered in the system identification context.

sted, utgiver, år, opplag, sider
Linköping: Linköpings universitet , 2005. , s. 14
Serie
LiTH-MAT-R, ISSN 0348-2960 ; 2005:11
Emneord [en]
Volume; Minimization criterion; Determinant; Rank deficient matrix
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-29470OAI: oai:DiVA.org:liu-29470DiVA, id: diva2:250285
Tilgjengelig fra: 2009-10-09 Laget: 2009-10-09 Sist oppdatert: 2013-10-11bibliografisk kontrollert

Open Access i DiVA

Fulltekst mangler i DiVA

Personposter BETA

Savas, Berkant

Søk i DiVA

Av forfatter/redaktør
Savas, Berkant
Av organisasjonen

Søk utenfor DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric

urn-nbn
Totalt: 696 treff
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf