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Multilinear algebraic boolean modelling with tensor decompositions techniques
Publikationstyp
Journal Article
Date Issued
2011-08
Sprache
English
Author(s)
Institut
Journal
Volume
44
Issue
1 PART 1
Start Page
5603
End Page
5608
Citation
IFAC Proceedings Volumes (IFAC-PapersOnline) 44 (1 PART 1): 5603-5608 (2011)
Contribution to Conference
Publisher DOI
Scopus ID
Publisher
Elsevier
The paper first shows that Kruskal tensors with matrix factors derived from orthogonal ternary vector lists define multivariable Boolean functions. These tensors make it possible to derive efficient algorithms for the generation of equivalent Zhegalkin polynomials, which are secondly used for identification of algebraic Boolean models, e.g. for gene expression dynamics.
Subjects
Boolean functions
Boolean parameter identification
Discrete optimization
Gene expression modelling
Multilinear algebra
Tensors
Zhegalkin polynomials
DDC Class
004: Informatik