Activation Functions for "A Feedforward Unitary Equivariant Neural Network"

• URL: http://arxiv.org/abs/2411.14462v1
• Date: Sun, 17 Nov 2024 09:46:52 GMT
• Title: Activation Functions for "A Feedforward Unitary Equivariant Neural Network"
• Authors: Pui-Wai Ma,
• Abstract summary: In previous work, we presented a feedforward unitary equivariant neural network. We proposed three distinct activation functions tailored for this network. This short paper generalises these activation functions to a single functional form.
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• Abstract: In our previous work [Ma and Chan (2023)], we presented a feedforward unitary equivariant neural network. We proposed three distinct activation functions tailored for this network: a softsign function with a small residue, an identity function, and a Leaky ReLU function. While these functions demonstrated the desired equivariance properties, they limited the neural network's architecture. This short paper generalises these activation functions to a single functional form. This functional form represents a broad class of functions, maintains unitary equivariance, and offers greater flexibility for the design of equivariant neural networks.

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