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PLS-Based Multivariate Metamodeling of Dynamic Systems

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New Perspectives in Partial Least Squares and Related Methods

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 56))

Abstract

In this paper, we discuss the use of bi-linear methods for assessing temporal dynamics, in particular with regard to the understanding of complex biological processes. We show how the dynamics in multivariate time series measurements can be summarized efficiently by principal component analysis. Then we demonstrate how the development and use of complex, high-dimensional nonlinear differential equation models can be facilitated by multivariate metamodeling using nonlinear pls-based subspace data modeling. Different types of metamodels are outlined and illustrated. Finally, we discuss some cognitive topics characterizing different modeling cultures. In particular, we tabulate various metaphors deemed relevant for how the time domain is envisioned.

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Author information

Authors and Affiliations

  1. IMT (CIGENE), Norwegian University of Life Sciences, Ås, Norway

    Harald Martens, Kristin Tøndel, Valeriya Tafintseva, Erik Plahte, Jon Olav Vik, Arne B. Gjuvsland & Stig W. Omholt

  2. Nofima Ås, Ås, Norway

    Harald Martens

  3. Centre for Integrative Genetics, Norwegian University of Life Sciences, Ås, Norway

    Achim Kohler

Authors
  1. Harald Martens
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  2. Kristin Tøndel
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  3. Valeriya Tafintseva
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  4. Achim Kohler
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  5. Erik Plahte
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  6. Jon Olav Vik
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  7. Arne B. Gjuvsland
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  8. Stig W. Omholt
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Corresponding author

Correspondence to Harald Martens .

Editor information

Editors and Affiliations

  1. School of Behavioral & Brain Sciences, The University of Texas at Dallas, Richardson, Texas, USA

    Herve Abdi

  2. Department of Decision and Information Systems, University of Houston, Houston, Texas, USA

    Wynne W. Chin

  3. ESSEC Business School of Paris, Cergy-Pontoise Cedex, France

    Vincenzo Esposito Vinzi

  4. CNAM, Paris, USA

    Giorgio Russolillo

  5. Rouen Business School, Rouen, France

    Laura Trinchera

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Martens, H. et al. (2013). PLS-Based Multivariate Metamodeling of Dynamic Systems. In: Abdi, H., Chin, W., Esposito Vinzi, V., Russolillo, G., Trinchera, L. (eds) New Perspectives in Partial Least Squares and Related Methods. Springer Proceedings in Mathematics & Statistics, vol 56. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8283-3_1

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