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arXiv · 2208.12146

A Feedforward Unitary Equivariant Neural Network

Pui-Wai Ma·T. -H. Hubert Chan
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Abstract

We devise a new type of feedforward neural network. It is equivariant with respect to the unitary group $U(n)$. The input and output can be vectors in $\mathbb{C}^n$ with arbitrary dimension $n$. No convolution layer is required in our implementation. We avoid errors due to truncated higher order terms in Fourier-like transformation. The implementation of each layer can be done efficiently using simple calculations. As a proof of concept, we have given empirical results on the prediction of the dynamics of atomic motion to demonstrate the practicality of our approach.

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Pui-Wai Ma, T. -H. Hubert Chan. 2022-08-25. A Feedforward Unitary Equivariant Neural Network. https://arxiv.org/abs/2208.12146

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