Extraction of component bases from mixed spectra using non-negative matrix factorization with dissimilarity regularization

作者: Nobuaki Kikkawa , Akitoshi Suzumura , Kazutaka Nishikawa , Shin Tajima , Seiji Kajita

DOI: 10.1016/J.CHEMOLAB.2020.104096

关键词: DiffractionMatrix decompositionSpectral lineNon-negative matrix factorizationArtificial intelligenceMathematicsRegularization (mathematics)Pattern recognition

摘要: Abstract We propose a method of automatic pattern decomposition for mixed spectra, based on non-negative matrix factorization. This uses regularization term that increases the volume coordinated by decomposed bases. treatment enhances dissimilarities among bases and is suitable expressing natural component which generally differ from each other. shows better accuracy in test using virtual spectrum datasets compared to conventional regularizations. also proposed with high-throughput X-ray diffraction dataset measured synchrotron radiation facility. Our can decompose into bases, are correctly assigned background chemical compounds, while results obtained other terms cannot sufficiently separate peaks meaningful peaks. found combination dissimilarity smoothness detect small These show advantage purpose decompositions.

参考文章(43)
Mineichi Kudo, Keigo Kimura, Yuzuru Tanaka, A Fast Hierarchical Alternating Least Squares Algorithm for Orthogonal Nonnegative Matrix Factorization asian conference on machine learning. pp. 129- 141 ,(2014)
Kejun Huang, Nicholas D. Sidiropoulos, Athanasios P. Liavas, A Flexible and Efficient Algorithmic Framework for Constrained Matrix and Tensor Factorization IEEE Transactions on Signal Processing. ,vol. 64, pp. 5052- 5065 ,(2016) , 10.1109/TSP.2016.2576427
Nicolas Gillis, The Why and How of Nonnegative Matrix Factorization. arXiv: Machine Learning. ,(2014)
Daniel D. Lee, H. Sebastian Seung, Learning the parts of objects by non-negative matrix factorization Nature. ,vol. 401, pp. 788- 791 ,(1999) , 10.1038/44565
V Paul Pauca, Jon Piper, Robert J Plemmons, None, Nonnegative matrix factorization for spectral data analysis Linear Algebra and its Applications. ,vol. 416, pp. 29- 47 ,(2006) , 10.1016/J.LAA.2005.06.025
Francesco Masia, Adam Glen, Phil Stephens, Paola Borri, Wolfgang Langbein, Quantitative chemical imaging and unsupervised analysis using hyperspectral coherent anti-Stokes Raman scattering microscopy. Analytical Chemistry. ,vol. 85, pp. 10820- 10828 ,(2013) , 10.1021/AC402303G
Roma. Tauler, Bruce. Kowalski, Sydney. Fleming, Multivariate curve resolution applied to spectral data from multiple runs of an industrial process Analytical Chemistry. ,vol. 65, pp. 2040- 2047 ,(1993) , 10.1021/AC00063A019
Yue Yu, Shan Guo, Weidong Sun, Minimum distance constrained non-negative matrix factorization for the endmember extraction of hyperspectral images MIPPR 2007: Remote Sensing and GIS Data Processing and Applications; and Innovative Multispectral Technology and Applications. ,vol. 6790, pp. 679015- ,(2007) , 10.1117/12.748379
Hamid Abdollahi, Romà Tauler, Uniqueness and rotation ambiguities in Multivariate Curve Resolution methods Chemometrics and Intelligent Laboratory Systems. ,vol. 108, pp. 100- 111 ,(2011) , 10.1016/J.CHEMOLAB.2011.05.009
C. J. Long, D. Bunker, X. Li, V. L. Karen, I. Takeuchi, Rapid identification of structural phases in combinatorial thin-film libraries using x-ray diffraction and non-negative matrix factorization. Review of Scientific Instruments. ,vol. 80, pp. 103902- ,(2009) , 10.1063/1.3216809