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

Topics: Adaptive Signal Processing and Control; Feature Extraction; Hybrid Learning Systems; Information-Based Models for Control; Neural Networks Based Control Systems; Nonlinear Signals and Systems; Soft Computing; System Identification; Time Series and System Modeling

Authors: Helge Hülsen and Sergej Fatikow

Affiliation: Division of Microrobotics and Control Engineering, University of Oldenburg, Germany

Keyword(s): Associative Networks, Self-Organisation, Self-Supervised Learning, Extrapolation.

Related Ontology Subjects/Areas/Topics: Adaptive Signal Processing and Control ; Artificial Intelligence ; Artificial Intelligence and Decision Support Systems ; Computational Intelligence ; Computer Vision, Visualization and Computer Graphics ; Enterprise Information Systems ; Feature Extraction ; Features Extraction ; Hybrid Learning Systems ; Image and Video Analysis ; Informatics in Control, Automation and Robotics ; Information-Based Models for Control ; Intelligent Control Systems and Optimization ; Neural Networks Based Control Systems ; Nonlinear Signals and Systems ; Signal Processing, Sensors, Systems Modeling and Control ; Soft Computing ; System Identification ; Time Series and System Modeling

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.

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Paper citation in several formats:
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 1: ICINCO; ISBN 972-8865-31-7; ISSN 2184-2809, SciTePress, pages 173-178. DOI: 10.5220/0001177801730178

@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 1: ICINCO},
year={2005},
pages={173-178},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001177801730178},
isbn={972-8865-31-7},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - EXTRAPOLATION WITH A SELF-ORGANISING LOCALLY INTERPOLATING MAP - Controlling nonlinear Processes with ambiguous inverse Behaviour
SN - 972-8865-31-7
IS - 2184-2809
AU - Hülsen, H.
AU - Fatikow, S.
PY - 2005
SP - 173
EP - 178
DO - 10.5220/0001177801730178
PB - SciTePress