论文标题
喂食统一的均衡神经网络
A Feedforward Unitary Equivariant Neural Network
论文作者
论文摘要
我们设计了一种新型的前馈神经网络。相对于统一组$ u（n）$，它是均等的。输入和输出可以是$ \ mathbb {c}^n $的向量，并具有任意尺寸$ n $。我们的实施中不需要卷积层。我们避免由于傅立叶样转换中的高阶项截断而导致错误。可以使用简单的计算有效地完成每一层的实现。作为概念的证明，我们对原子运动动力学的预测给出了经验结果，以证明我们的方法的实用性。
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.
