作者
Teijiro Isokawa, Haruhiko Nishimura, Nobuyuki Matsui
发表日期
2010/7/18
研讨会论文
The 2010 International Joint Conference on Neural Networks (IJCNN)
页码范围
1-6
出版商
IEEE
简介
This paper explores two types of multistate Hopfield neural networks, based on commutative quaternions that are similar to Hamilton's quaternions but with commutative multiplication. In one type of the networks, the state of a neuron is represented by two kinds of phases and one real number. The other type of the networks adopts the decomposed form of commutative quaternion, i.e., the state of a neuron consists of a combination of two complex values. We have investigated the stabilities of these networks, i.e., the energies monotonically decreases with respect to the changes of the network states.
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T Isokawa, H Nishimura, N Matsui - The 2010 International Joint Conference on Neural …, 2010