Publisher DOI: 10.3182/20110828-6-IT-1002.03612
Title: Multilinear algebraic boolean modelling with tensor decompositions techniques
Language: English
Authors: Lichtenberg, Gerwald  
Eichler, Annika 
Keywords: Boolean functions; Boolean parameter identification; Discrete optimization; Gene expression modelling; Multilinear algebra; Tensors; Zhegalkin polynomials
Issue Date: Jan-2011
Publisher: Elsevier
Journal or Series Name: IFAC Proceedings Volumes 
Volume: 44
Issue: 1
Startpage: 5603
Endpage: 5608
Conference: International Federation of Automatic Control World Congress 2011 
Abstract: 
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. © 2011 IFAC.
URI: http://hdl.handle.net/20.500.12738/12899
ISBN: 9783902661937
ISSN: 1474-6670
Review status: Unknown / not specified
Institute: Technische Universität Hamburg 
Type: Chapter/Article (Proceedings)
Appears in Collections:Publications without full text

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