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Authors: Niklas Jöres 1 ; Christoph Kaufmann 1 ; 2 ; 3 ; Leona Schnelle 3 ; Carlos Cateriano Yáñez 1 ; 3 ; 4 ; Georg Pangalos 1 and Gerwald Lichtenberg 3

Affiliations: 1 Application Center for Integration of Local Energy Systems, Fraunhofer IWES, Hamburg, Germany ; 2 Centre d’Innovació Tecnològica en Convertidors Estàtics i Accionaments (CITCEA), Departament d’Enginyeria Elèctrica, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain ; 3 Faculty of Life Science, HAW Hamburg, Germany ; 4 Universitat Politècnica de València, Instituto Universitario de Automática e Informática Industrial, València, Spain

Keyword(s): Multilinear Systems, Tensor Decomposition.

Abstract: Large and highly complex systems can be found in various application areas. Modeling these systems requires appropriate representation of the underlying phenomena. Furthermore, due to the large dimensions efficient simulation and low memory requirements are needed for such models. Multilinear modeling is a promising approach to address these challenges. In this paper, we introduce a reduced canonical polyadic (CP) representation for implicit time-invariant multilinear (iMTI) models. This representation is capable of storing large models with very low memory requirements. This is particularly useful for efficient analyses of large systems with numerous inputs and states.

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Paper citation in several formats:
Jöres, N.; Kaufmann, C.; Schnelle, L.; Yáñez, C.; Pangalos, G. and Lichtenberg, G. (2022). Reduced CP Representation of Multilinear Models. In Proceedings of the 12th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH; ISBN 978-989-758-578-4; ISSN 2184-2841, SciTePress, pages 252-259. DOI: 10.5220/0011273100003274

@conference{simultech22,
author={Niklas Jöres. and Christoph Kaufmann. and Leona Schnelle. and Carlos Cateriano Yáñez. and Georg Pangalos. and Gerwald Lichtenberg.},
title={Reduced CP Representation of Multilinear Models},
booktitle={Proceedings of the 12th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH},
year={2022},
pages={252-259},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0011273100003274},
isbn={978-989-758-578-4},
issn={2184-2841},
}

TY - CONF

JO - Proceedings of the 12th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH
TI - Reduced CP Representation of Multilinear Models
SN - 978-989-758-578-4
IS - 2184-2841
AU - Jöres, N.
AU - Kaufmann, C.
AU - Schnelle, L.
AU - Yáñez, C.
AU - Pangalos, G.
AU - Lichtenberg, G.
PY - 2022
SP - 252
EP - 259
DO - 10.5220/0011273100003274
PB - SciTePress

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