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On restricted nonnegative matrix factorization

Abstract:

Nonnegative matrix factorization (NMF) is the problem of decomposing a given nonnegative n × m matrix M into a product of a nonnegative n × d matrix W and a nonnegative d × m matrix H. Restricted NMF requires in addition that the column spaces of M and W coincide. Finding the minimal inner dimension d is known to be NP-hard, both for NMF and restricted NMF. We show that restricted NMF is closely related to a question about the nature of minimal probabilistic automata, posed by Paz in his semi...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4230/LIPIcs.ICALP.2016.103

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
Publisher:
Schloss Dagstuhl
Host title:
ICALP 2016: 43rd International Colloquium on Automata, Languages and Programming
Journal:
ICALP2016: 43rd International Colloquium on Automata, Languages and Programming More from this journal
Volume:
103
Pages:
103:1-103:14
Publication date:
2016-07-01
Acceptance date:
2016-04-15
DOI:
EISSN:
1868-8969
ISSN:
1868-8969
Keywords:
Pubs id:
pubs:623536
UUID:
uuid:7308840d-83fb-4759-b803-9cb412fbb70d
Local pid:
pubs:623536
Source identifiers:
623536
Deposit date:
2016-05-23

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