Bai, Junwen and Ament, Sebastian and Perez, Guillaume and Gregoire, John and Gomes, Carla (2018) An Efficient Relaxed Projection Method for Constrained Non-negative Matrix Factorization with Application to the Phase-Mapping Problem in Materials Science. In: Integration of Constraint Programming, Artificial Intelligence, and Operations Research. Lecture Notes in Computer Science. No.10848. Springer , Cham, Switzerland, pp. 52-62. ISBN 978-3-319-93030-5. https://resolver.caltech.edu/CaltechAUTHORS:20180607-155251991
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Abstract
In recent years, a number of methods for solving the constrained non-negative matrix factorization problem have been proposed. In this paper, we propose an efficient method for tackling the ever increasing size of real-world problems. To this end, we propose a general relaxation and several algorithms for enforcing constraints in a challenging application: the phase-mapping problem in materials science. Using experimental data we show that the proposed method significantly outperforms previous methods in terms of ℓ_2-norm error and speed.
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| Additional Information: | © 2018 Springer International Publishing AG, part of Springer Nature. First Online: 08 June 2018. Work supported by an NSF Expedition award for Computational Sustainability (CCF-1522054), NSF Computing Research Infrastructure (CNS-1059284), NSF Inspire (1344201), a MURI/AFOSR grant (FA9550), and a grant from the Toyota Research Institute. | ||||||||||||||
| Group: | JCAP | ||||||||||||||
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| Series Name: | Lecture Notes in Computer Science | ||||||||||||||
| Issue or Number: | 10848 | ||||||||||||||
| DOI: | 10.1007/978-3-319-93031-2_4 | ||||||||||||||
| Record Number: | CaltechAUTHORS:20180607-155251991 | ||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180607-155251991 | ||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
| ID Code: | 86903 | ||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||
| Deposited On: | 08 Jun 2018 14:49 | ||||||||||||||
| Last Modified: | 15 Nov 2021 20:43 |
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