Quaternionic Vector Product Hopfield Network

Masaki KOBAYASHI

doi:10.1587/transfun.2024MAL0001

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Quaternionic Vector Product Hopfield Network

Masaki KOBAYASHI

著者情報

キーワード: Hopfield networks, vector product, high-dimensional neural networks, quaternion

ジャーナルフリー早期公開

論文ID: 2024MAL0001

DOI https://doi.org/10.1587/transfun.2024MAL0001

この記事には本公開記事があります。

The final version of this article is now available: Vol. E108.A (2025), No. 5 pp. 714-716

詳細

抄録

A vector product Hopfield network (VPHN) is a 3-D Hopfield model. A VPHN provides excellent noise tolerance. Since projection rule is not available, it is not applicable for large numbers of data. Vector product appears in the multiplication of quaternions. In this work, the VPHNs are extended to the quaternionic VPHNs (QVPHNs). The projection rule is available for the QVPHNs. We evaluate the QVPHNs by computer simulations and show that they provide excellent noise tolerance.

責任著者(Corresponding author)

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