An Efficient Relaxed Projection Method for Constrained Non-negative Matrix Factorization with Application to the Phase-Mapping Problem in Materials Science
作者： Junwen Bai , Sebastian Ament , Guillaume Perez , John Gregoire , Carla Gomes
DOI: 10.1007/978-3-319-93031-2_4
关键词:
摘要: In recent years, a number of methods for solving the constrained non-negative matrix factorization problem have been proposed. this paper, we propose an efficient method tackling ever increasing size real-world problems. To end, general relaxation and several algorithms enforcing constraints in challenging application: phase-mapping materials science. Using experimental data show that proposed significantly outperforms previous terms \(\ell _2\)-norm error speed.
springer.com
sci-hub.se 参考文章(20)
Ronan LeBras, Theodoros Damoulas, John M. Gregoire, Ashish Sabharwal, Carla P. Gomes, R. Bruce van Dover, Constraint reasoning and Kernel clustering for pattern decomposition with scaling principles and practice of constraint programming. pp. 508- 522 ,(2011) , 10.1007/978-3-642-23786-7_39
Stefano Ermon, Ronan Le Bras, Carla P. Gomes, Bart Selman, R. Bruce van Dover, SMT-aided combinatorial materials discovery theory and applications of satisfiability testing. pp. 172- 185 ,(2012) , 10.1007/978-3-642-31612-8_14
Mikkel N. Schmidt, Morten Mørup, Nonnegative Matrix Factor 2-D Deconvolution for Blind Single Channel Source Separation Independent Component Analysis and Blind Signal Separation. pp. 700- 707 ,(2006) , 10.1007/11679363_87
Norman B. Colthup, Lawrence H. Daly, Stephen E. Wiberley, Introduction to Infrared and Raman Spectroscopy ,(1964)
Stefano Ermon, Bart Selman, Ronan Le Bras, Santosh K. Suram, Carla Gomes, John M. Gregoire, Robert B. van Dover, Pattern Decomposition with Complex Combinatorial Constraints: Application to Materials Discovery arXiv: Artificial Intelligence. ,(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
John Duchi, Shai Shalev-Shwartz, Yoram Singer, Tushar Chandra, Efficient projections onto thel1-ball for learning in high dimensions Proceedings of the 25th international conference on Machine learning - ICML '08. pp. 272- 279 ,(2008) , 10.1145/1390156.1390191
D. T. Lee, B. J. Schachter, Two algorithms for constructing a Delaunay triangulation International Journal of Parallel Programming. ,vol. 9, pp. 219- 242 ,(1980) , 10.1007/BF00977785
J. M. Gregoire, D. G. Van Campen, C. E. Miller, R. J. R. Jones, S. K. Suram, A. Mehta, High-throughput synchrotron X-ray diffraction for combinatorial phase mapping. Journal of Synchrotron Radiation. ,vol. 21, pp. 1262- 1268 ,(2014) , 10.1107/S1600577514016488
John M. Gregoire, Darren Dale, Alexander Kazimirov, Francis J. DiSalvo, R. Bruce van Dover, High energy x-ray diffraction∕x-ray fluorescence spectroscopy for high-throughput analysis of composition spread thin films Review of Scientific Instruments. ,vol. 80, pp. 123905- 123905 ,(2009) , 10.1063/1.3274179