Art

J-GLOBAL ID：202002261167968855   Reference number：20A0995739

Shift Invariance Property of a Non-Negative Matrix Factorization

非負行列因子分解のシフト不変性

Author (2)： IMAI Hideyuki (Faculty of Information Science and Technology, Hokkaido University) ,  IMAI Hideyuki (Global Station for Big Data and Cybersecurity, Hokkaido University)
Material： IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (Web)  (IEICE Trans Fundam Electron Commun Comput Sci (Web))
Volume： E103.A  Issue： 2  Page： 580-581(J-STAGE)  Publication year： 2020 
JST Material Number： U0466A  ISSN： 1745-1337  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *factorization ,  *invariance ,  vector (mathematics) ,  *data ,  *point ,  sufficient condition ,  necessary condition ,  basis vector ,  *non-negative matrix factorization
Semi thesaurus term： *shift invariance ,  necessary and sufficient condition

Author keywords (3)： non-negative matrix factorization ,  semi non-negative matrix factorization ,  parallel moving

JST classification (2)： Code theory  (ND02030R) ,  Graphic and image processing in general  (JE04010I)

Reference (9)：

• [1] D.D. Lee and H.S. Seung, “Learning the parts of objects by non-negative matrix factorization,” Nature, vol.401, no.6755, pp.788-791, Oct. 1999. 10.1038/44565
• [2] D.D. Lee and H.S. Seung, “Algorithms for non-negative matrix factorization,” Advances in Neural Information Processing Systems 13, T.K. Leen, T.G. Dietterich, and V. Tresp, eds., pp.556-562, MIT Press, 2001.
• [3] P. Smaragdis and J.C. Brown, “Non-negative matrix factorization for polyphonic music transcription,” IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, pp.177-180, 2003. 10.1109/aspaa.2003.1285860
• [4] W. Xu, X. Liu, and Y. Gong, “Document clustering based on non-negative matrix factorization,” Proc. 26th annual international ACM SIGIR conference on Research and development in information retrieval-SIGIR'03, p.267, 2003. 10.1145/860435.860485
• [5] D. Guillamet, J. Vitrià, and B. Schiele, “Introducing a weighted non-negative matrix factorization for image classification,” Pattern Recogn. Lett., vol.24, no.14, pp.2447-2454, 2003. 10.1016/s0167-8655(03)00089-8

Terms in the title (2)： 非負行列因子分解 ,  シフト不変性