An approach to structured multilinear modeling with relaxed Boolean output functions

Engels, Marah; Lichtenberg, Gerwald; Knorn, Steffi

doi:10.1016/j.ifacol.2023.10.314

Verlagslink DOI:	10.1016/j.ifacol.2023.10.314
Titel:	An approach to structured multilinear modeling with relaxed Boolean output functions
Sprache:	Englisch
Autorenschaft:	Engels, Marah Lichtenberg, Gerwald Knorn, Steffi
Herausgeber*In:	Ishii, Hideaki Ebihara, Yoshio Imura, Jun-ichi Yamakita, Masaki
Schlagwörter:	Boolean differentials; ternary vector lists; Zhegalkin polynomials; model structure reduction; multilinear models; tensor decomposition
Erscheinungsdatum:	22-Nov-2023
Verlag:	Elsevier
Buchtitel:	22nd IFAC World Congress: Yokohama, Japan, July 9-14, 2023 : International Federation of Automatic Control World Congress ; proceedings
Zeitschrift oder Schriftenreihe:	IFAC-PapersOnLine
Zeitschriftenband:	56
Zeitschriftenausgabe:	2
Anfangsseite:	7920
Endseite:	7925
Konferenz:	International Federation of Automatic Control World Congress 2023
Zusammenfassung:	A new structured network modeling approach based on binary node indexing and Boolean differentials is introduced. Orthogonal ternary vector lists serve as a structured representation of the model's state dynamics. Tensor decomposition methods are enabled by relaxation to continuous Zhegalkin polynomials due to their inherently multilinear nature. A periodic example is used to demonstrate how a low-dimensional state space can provide a large number of linearly independent outputs.
URI:	http://hdl.handle.net/20.500.12738/14413
ISSN:	2405-8963
Begutachtungsstatus:	Diese Version hat ein Peer-Review-Verfahren durchlaufen (Peer Review)
Einrichtung:	Department Medizintechnik Fakultät Life Sciences Department Verfahrenstechnik
Dokumenttyp:	Konferenzveröffentlichung
Enthalten in den Sammlungen:	Publications without full text