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Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization
Garimella Ramamurthy, Marcos Eduardo Valle, Tata Jagannadha Swamy
https://arxiv.org/abs/2507.00461

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization
This research paper introduces two novel complex-valued Hopfield neural networks (CvHNNs) that incorporate phase and magnitude quantization. The first CvHNN employs a ceiling-type activation function that operates on the rectangular coordinate representation of the complex net contribution. The second CvHNN similarly incorporates phase and magnitude quantization but utilizes a ceiling-type activation function based on the polar coordinate representation of the complex net contribution. The prop…