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- W777782797 abstract "In recent years, applications of complex-valued neural networks have become wide spread. Quaternions are an extension of complex numbers, and neural networks with quaternions have been proposed. Because quaternion algebra is non-commutative algebra, we can consider two orders of multiplication to calculate weighted input. However, both orders provide almost the same performance. We propose hybrid quaternionic Hopfield neural networks, which have both orders of multiplication. Using computer simulations, we show that these networks outperformed conventional quaternionic Hopfield neural networks in noise tolerance. We discuss why hybrid quaternionic Hopfield neural networks improve noise tolerance from the standpoint of rotational invariance." @default.
- W777782797 created "2016-06-24" @default.
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- W777782797 date "2015-01-01" @default.
- W777782797 modified "2023-10-03" @default.
- W777782797 title "Hybrid Quaternionic Hopfield Neural Network" @default.
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- W777782797 doi "https://doi.org/10.1587/transfun.e98.a.1512" @default.
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