Plateau in a Polar Variable Complex-valued Neuron

Tohru Nitta

2014

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.

Paper Citation

in Harvard Style

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, pages 526-531. DOI: 10.5220/0004887905260531

in Bibtex Style

@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},
}

in EndNote Style

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
AU - Nitta T.
PY - 2014
SP - 526
EP - 531
DO - 10.5220/0004887905260531