Publisher DOI: | 10.1016/j.ifacol.2023.10.314 | Title: | An approach to structured multilinear modeling with relaxed Boolean output functions | Language: | English | Authors: | Engels, Marah Lichtenberg, Gerwald Knorn, Steffi |
Editor: | Ishii, Hideaki Ebihara, Yoshio Imura, Jun-ichi Yamakita, Masaki |
Keywords: | Boolean differentials; ternary vector lists; Zhegalkin polynomials; model structure reduction; multilinear models; tensor decomposition | Issue Date: | 22-Nov-2023 | Publisher: | Elsevier | Book title: | 22nd IFAC World Congress: Yokohama, Japan, July 9-14, 2023 : International Federation of Automatic Control World Congress ; proceedings | Journal or Series Name: | IFAC-PapersOnLine | Volume: | 56 | Issue: | 2 | Startpage: | 7920 | Endpage: | 7925 | Conference: | International Federation of Automatic Control World Congress 2023 | Abstract: | 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 | Review status: | This version was peer reviewed (peer review) | Institute: | Department Medizintechnik Fakultät Life Sciences Department Verfahrenstechnik |
Type: | Chapter/Article (Proceedings) |
Appears in Collections: | Publications without full text |
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