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Author: Tohru Nitta

Affiliation: National Institute of Advanced Industrial Science and Technology (AIST), Japan

Keyword(s): Complex-valued neuron, Coordinate, Learning, Unidentifiable model, Singularity.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Artificial Intelligence and Decision Support Systems ; Biomedical Engineering ; Biomedical Signal Processing ; Computational Intelligence ; Data Manipulation ; Enterprise Information Systems ; Health Engineering and Technology Applications ; Human-Computer Interaction ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization ; Methodologies and Methods ; Neural Networks ; Neurocomputing ; Neurotechnology, Electronics and Informatics ; Pattern Recognition ; Physiological Computing Systems ; Sensor Networks ; Signal Processing ; Soft Computing ; Theory and Methods

Abstract: In this paper, the characteristics of the complex-valued neuron model with parameters represented by polar coordinates (called polar variable complex-valued neuron) are investigated. The main results are as reported below. The polar variable complex-valued neuron is unidentifiable: there exists a parameter that does not affect the output value of the neuron and one cannot identify its value. The plateau phenomenon can occur during learning of the polar variable complex-valued neuron: the learning error does not decrease in a period. Furthermore, it is suggested by computer simulations that a single polar variable complex-valued neuron has the following characteristics: (a) Unidentifiable parameters (singular points) degrade the learning speed. (b) A plateau can occur during learning. When the weight is attracted to the singular point, the learning tends to be stuck.

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Paper citation in several formats:
Nitta, T. (2014). Plateau in a Polar Variable Complex-valued Neuron. In Proceedings of the 6th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART; ISBN 978-989-758-015-4; ISSN 2184-433X, SciTePress, pages 526-531. DOI: 10.5220/0004887905260531

@conference{icaart14,
author={Tohru Nitta.},
title={Plateau in a Polar Variable Complex-valued Neuron},
booktitle={Proceedings of the 6th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART},
year={2014},
pages={526-531},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004887905260531},
isbn={978-989-758-015-4},
issn={2184-433X},
}

TY - CONF

JO - Proceedings of the 6th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART
TI - Plateau in a Polar Variable Complex-valued Neuron
SN - 978-989-758-015-4
IS - 2184-433X
AU - Nitta, T.
PY - 2014
SP - 526
EP - 531
DO - 10.5220/0004887905260531
PB - SciTePress