A Spiking Neuron Model based on the Lambert W Function
Yevgeniy Bodyanskiy, Artem Dolotov
2013
Abstract
A model of spiking neuron based on the Lambert W function has been proposed. It is shown analytical dependence of spiking neuron firing time on input spikes can be obtained. Though such dependence is rather complex, it still allows of simplifying software implementation of spiking neural networks. It is demonstrated the proposed model software implementation operates faster than one of straightforward propagation of a spike through multiple synapse and soma of spiking neuron.
References
- Bodyanskiy, Ye., Dolotov, A., 2009. Analog-Digital SelfLearning Fuzzy Spiking Neural Network in Image Processing Problems. In Image Processing, INTECH. Vukovar.
- Bohte, S. M., Kok, J. S., La Poutre, H., 2002. Unsupervised clustering with spiking neurons by sparse temporal coding and multi-layer RBF networks. In IEEE Transactions on Neural Networks, 13.
- Corless, R. M., Gonnet, G. H., Hare, D. E. G., et al., 1996. On the Lambert W function. In Advances in Computational Mathematics, 5.
- De Berredo, R. C., 2005. A Review of Spiking Neuron Models and Applications, A dissertation in fulfillment of the requirements for the degree of Master of Science. Belo Horizonte.
- Gerstner, W., Kistler, W. M., 2002. Spiking Neuron Models: Single Neurons, Populations, Plasticity, Cambridge University Press. Cambridge.
- Natschlaeger, T., Ruf, B., 1998. Spatial and temporal pattern analysis via spiking neurons. In Network: Computations in Neural Systems, 9.
Paper Citation
in Harvard Style
Bodyanskiy Y. and Dolotov A. (2013). A Spiking Neuron Model based on the Lambert W Function . In Proceedings of the 5th International Joint Conference on Computational Intelligence - Volume 1: NCTA, (IJCCI 2013) ISBN 978-989-8565-77-8, pages 542-546. DOI: 10.5220/0004631605420546
in Bibtex Style
@conference{ncta13,
author={Yevgeniy Bodyanskiy and Artem Dolotov},
title={A Spiking Neuron Model based on the Lambert W Function},
booktitle={Proceedings of the 5th International Joint Conference on Computational Intelligence - Volume 1: NCTA, (IJCCI 2013)},
year={2013},
pages={542-546},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004631605420546},
isbn={978-989-8565-77-8},
}
in EndNote Style
TY - CONF
JO - Proceedings of the 5th International Joint Conference on Computational Intelligence - Volume 1: NCTA, (IJCCI 2013)
TI - A Spiking Neuron Model based on the Lambert W Function
SN - 978-989-8565-77-8
AU - Bodyanskiy Y.
AU - Dolotov A.
PY - 2013
SP - 542
EP - 546
DO - 10.5220/0004631605420546