2024-09-11T11:06:13Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/769312022-11-17T02:08:08Zhdl_2115_20053hdl_2115_145Shift Invariance Property of a Non-Negative Matrix FactorizationImai, Hideyukinon-negative matrix factorizationsemi non-negative matrix factorizationparallel moving007We consider a property about a result of non-negative matrix factorization under a parallel moving of data points. The shape of a cloud of original data points and that of data points moving parallel to a vector are identical. Thus it is sometimes required that the coefficients to basis vectors of both data points are also identical from the viewpoint of classification. We show a necessary and sufficient condition for such an invariance property under a translation of the data points.電子情報通信学会(The Institute of Electronics, Information and Communication Engineers / IEICE)Journal Articleapplication/pdfhttp://hdl.handle.net/2115/76931https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/76931/1/e103-a_2_580.pdf0916-8508AA11510296IEICE transactions on fundamentals of electronics communications and computer sciencesE103-25805812020-02enginfo:doi/10.1587/transfun.2019EAL2121copyright©2020 IEICEpublisher