TY - JOUR A1 - Fackeldey, K. A1 - Röhm, J. A1 - Niknejad, A. A1 - Chewle, Surahit A1 - Weber, M. T1 - Analyzing Raman spectral data without separabiliy assumption JF - Journal of mathematical chemistry N2 - Raman spectroscopy is a well established tool for the analysis of vibration spectra, which then allow for the determination of individual substances in a chemical sample, or for their phase transitions. In the time-resolved-Raman-sprectroscopy the vibration spectra of a chemical sample are recorded sequentially over a time interval, such that conclusions for intermediate products (transients) can be drawn within a chemical process. The observed data-matrix M from a Raman spectroscopy can be regarded as a matrix product of two unknown matrices W and H, where the first is representing the contribution of the spectra and the latter represents the chemical spectra. One approach for obtaining W and H is the non-negative matrix factorization. We propose a novel approach, which does not need the commonly used separability assumption. The performance of this approach is shown on a real world chemical example. KW - Non-negative matrix factorization KW - NMF KW - Raman spectra KW - Separability condition KW - PCCA+ PY - 2021 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-559051 DO - https://doi.org/10.1007/s10910-020-01201-7 SN - 1572-8897 VL - 59 SP - 575 EP - 596 PB - Springer Science + Business Media CY - Dordrecht AN - OPUS4-55905 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -