Reduced CP Representation of Multilinear Models

Niklas Jöres, Christoph Kaufmann, Christoph Kaufmann, Christoph Kaufmann, Leona Schnelle, Carlos Yáñez, Carlos Yáñez, Carlos Yáñez, Georg Pangalos, Gerwald Lichtenberg

2022

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.

Paper Citation

in Harvard Style

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 - Volume 1: SIMULTECH, ISBN 978-989-758-578-4, pages 252-259. DOI: 10.5220/0011273100003274

in Bibtex Style

@conference{simultech22,
author={Niklas Jöres and Christoph Kaufmann and Leona Schnelle and Carlos 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 - Volume 1: SIMULTECH,},
year={2022},
pages={252-259},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0011273100003274},
isbn={978-989-758-578-4},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 12th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,
TI - Reduced CP Representation of Multilinear Models
SN - 978-989-758-578-4
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