Non-negative Matrix Factorization with Orthogonality Constraints and its Application to Raman Spectroscopy

Authors:
Hualiang Li;Tülay Adali;Wei Wang;Darren Emge;Andrzej Cichocki
Affiliations:
Department of CSEE, University of Maryland Baltimore County, Baltimore, USA;Department of CSEE, University of Maryland Baltimore County, Baltimore, USA;Department of CSEE, University of Maryland Baltimore County, Baltimore, USA;US Army Research, Aberdeen Proving Grounds, Aberdeen, USA 21010;Laboratory for Advanced Brain Signal Processing, Brain Science Institute, Saitama, Japan 351-0198
Venue:
Journal of VLSI Signal Processing Systems
Year:
2007

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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.