title: Automatic analysis of composite physical signals using non-negative factorization and information criterion.
abstract: In time-resolved spectroscopy, composite signal sequences representing energy transfer in fluorescence materials are measured, and the physical characteristics of the materials are analyzed. Each signal sequence is represented by a sum of non-negative signal components, which are expressed by model functions. For analyzing the physical characteristics of a measured signal sequence, the parameters of the model functions are estimated. Furthermore, in order to quantitatively analyze real measurement data and to reduce the risk of improper decisions, it is necessary to obtain the statistical characteristics from several sequences rather than just a single sequence. In the present paper, we propose an automatic method by which to analyze composite signals using non-negative factorization and an information criterion. The proposed method decomposes the composite signal sequences using non-negative factorization subjected to parametric base functions. The number of components (i.e., rank) is also estimated using Akaike's information criterion. Experiments using simulated and real data reveal that the proposed method automatically estimates the acceptable ranks and parameters.
authors.affiliation: National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki, Japan. kenji-watanabe@aist.go.jp
authors.forename: Kenji
authors.initials: K
authors.lastname: Watanabe
authors.forename: Akinori
authors.initials: A
authors.lastname: Hidaka
authors.forename: Nobuyuki
authors.initials: N
authors.lastname: Otsu
authors.forename: Takio
authors.initials: T
authors.lastname: Kurita
mesh_terms: D000465:Algorithms; D000818:Animals; D001331:Automation; D019295:Computational Biology / Q000379:methods; D003198:Computer Simulation; D001330:Electronic Data Processing; D005583:Fourier Analysis; D049452:Green Fluorescent Proteins / Q000378:metabolism; D006801:Humans; D008856:Microscopy, Fluorescence / Q000379:methods; D015233:Models, Statistical; D015203:Reproducibility of Results; D012815:Signal Processing, Computer-Assisted; D015398:Signal Transduction; D013053:Spectrophotometry / Q000379:methods*; D013997:Time Factors
chemical_list: D049452:Green Fluorescent Proteins