Nonnegative PARAFAC2: a flexible coupling approach

Jeremy E. Cohen; Rasmus Bro

doi:10.1007/978-3-319-93764-9_9

Nonnegative PARAFAC2: a flexible coupling approach

Jeremy E. Cohen^*, Rasmus Bro

^*Corresponding author for this work

Food Analytics and Biotechnology

8 Citations (Scopus)

Abstract

Modeling variability in tensor decomposition methods is one of the challenges of source separation. One possible solution to account for variations from one data set to another, jointly analysed, is to resort to the PARAFAC2 model. However, so far imposing constraints on the mode with variability has not been possible. In the following manuscript, a relaxation of the PARAFAC2 model is introduced, that allows for imposing nonnegativity constraints on the varying mode. An algorithm to compute the proposed flexible PARAFAC2 model is derived, and its performance is studied on both synthetic and chemometrics data.

Original language	English
Title of host publication	Latent Variable Analysis and Signal Separation : 14th International Conference, LVA/ICA 2018, Proceedings
Editors	Yannick Deville, Sharon Gannot, Russell Mason, Mark D. Plumbley, Dominic Ward
Number of pages	10
Publisher	Springer
Publication date	2018
Pages	89-98
ISBN (Print)	978-3-319-93763-2
ISBN (Electronic)	978-3-319-93764-9
DOIs	https://doi.org/10.1007/978-3-319-93764-9_9
Publication status	Published - 2018
Event	14th International Conference on Latent Variable Analysis and Signal Separation, LVA/ICA 2018 - Guildford, United Kingdom Duration: 2 Jul 2018 → 5 Jul 2018

Conference

Conference	14th International Conference on Latent Variable Analysis and Signal Separation, LVA/ICA 2018
Country/Territory	United Kingdom
City	Guildford
Period	02/07/2018 → 05/07/2018

Series	Lecture notes in computer science
Volume	10891
ISSN	0302-9743

Keywords

Flexible coupling
Nonnegativity constraints
PARAFAC2

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10.1007/978-3-319-93764-9_9

https://arxiv.org/pdf/1802.05035.pdfLicence: Other

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Cohen, J. E., & Bro, R. (2018). Nonnegative PARAFAC2: a flexible coupling approach. In Y. Deville, S. Gannot, R. Mason, M. D. Plumbley, & D. Ward (Eds.), Latent Variable Analysis and Signal Separation: 14th International Conference, LVA/ICA 2018, Proceedings (pp. 89-98). Springer. Lecture notes in computer science Vol. 10891 https://doi.org/10.1007/978-3-319-93764-9_9

Nonnegative PARAFAC2 : a flexible coupling approach. / Cohen, Jeremy E.; Bro, Rasmus.

Latent Variable Analysis and Signal Separation: 14th International Conference, LVA/ICA 2018, Proceedings. ed. / Yannick Deville; Sharon Gannot; Russell Mason; Mark D. Plumbley; Dominic Ward. Springer, 2018. p. 89-98 (Lecture notes in computer science, Vol. 10891).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Cohen, JE & Bro, R 2018, Nonnegative PARAFAC2: a flexible coupling approach. in Y Deville, S Gannot, R Mason, MD Plumbley & D Ward (eds), Latent Variable Analysis and Signal Separation: 14th International Conference, LVA/ICA 2018, Proceedings. Springer, Lecture notes in computer science, vol. 10891, pp. 89-98, 14th International Conference on Latent Variable Analysis and Signal Separation, LVA/ICA 2018, Guildford, United Kingdom, 02/07/2018. https://doi.org/10.1007/978-3-319-93764-9_9

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DO - 10.1007/978-3-319-93764-9_9

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PB - Springer

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ER -

Nonnegative PARAFAC2: a flexible coupling approach

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Keywords

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