EXTRAPOLATION WITH A SELF-ORGANISING LOCALLY INTERPOLATING MAP - Controlling nonlinear Processes with ambiguous inverse Behaviour

Helge Hülsen, Sergej Fatikow

Abstract

Besides their typical classification task, Self-Organizing Maps (SOM) can be used to approximate input-output relations. They provide an economic way of storing the essence of past data into input/output support vector pairs. In this paper the SOLIM algorithm (Self-Organising Locally Interpolating Map) is reviewed and an extrapolation method is introduced. This framework allows finding one inverse of a nonlinear many-to-one mapping by exploiting the inherent neighbourhood criteria of the SOM part. Simulations show that the performance of the mapping including the extrapolation is comparable to other algorithms.

References

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Paper Citation


in Harvard Style

Hülsen H. and Fatikow S. (2005). EXTRAPOLATION WITH A SELF-ORGANISING LOCALLY INTERPOLATING MAP - Controlling nonlinear Processes with ambiguous inverse Behaviour . In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 972-8865-31-7, pages 173-178. DOI: 10.5220/0001177801730178


in Bibtex Style

@conference{icinco05,
author={Helge Hülsen and Sergej Fatikow},
title={EXTRAPOLATION WITH A SELF-ORGANISING LOCALLY INTERPOLATING MAP - Controlling nonlinear Processes with ambiguous inverse Behaviour},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2005},
pages={173-178},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001177801730178},
isbn={972-8865-31-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - EXTRAPOLATION WITH A SELF-ORGANISING LOCALLY INTERPOLATING MAP - Controlling nonlinear Processes with ambiguous inverse Behaviour
SN - 972-8865-31-7
AU - Hülsen H.
AU - Fatikow S.
PY - 2005
SP - 173
EP - 178
DO - 10.5220/0001177801730178