| 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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