Multilinear algebraic boolean modelling with tensor decompositions techniques

Publikationstyp
Journal Article
Date Issued
2011-08
Sprache
English
Author(s)
Lichtenberg, Gerwald  
Eichler, Annika  
Institut
Regelungstechnik E-14  
TORE-URI
http://hdl.handle.net/11420/12800
Journal
IFAC Proceedings Volumes  
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
18th World congress. International Federation of Automatic Control (IFAC), 2011  
Publisher DOI
10.3182/20110828-6-IT-1002.03612
Scopus ID
2-s2.0-84866745429
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