Non-negative matrix factorization with orthogonality constraints and its application to Raman spectroscopy

Hualiang Li, Tülay Adal, Wei Wang, Darren Emge, Andrzej Cichocki

Research output: Contribution to journalArticlepeer-review

54 Citations (Scopus)

Abstract

We introduce non-negative matrix factorization with orthogonality constraints (NMFOC) for detection of a target spectrum in a given set of Raman spectra data. An orthogonality measure is defined and two different orthogonality constraints are imposed on the standard NMF to incorporate prior information into the estimation and hence to facilitate the subsequent detection procedure. Both multiplicative and gradient type update rules have been developed. Experimental results are presented to compare NMFOC with the basic NMF in detection, and to demonstrate its effectiveness in the chemical agent detection problem.

Original languageEnglish
Pages (from-to)83-97
Number of pages15
JournalJournal of VLSI Signal Processing Systems for Signal, Image, and Video Technology
Volume48
Issue number1-2
DOIs
Publication statusPublished - Aug 2007
Externally publishedYes

Keywords

  • NMFOC
  • Non-negative matrix factorization
  • Raman spectroscopy

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