Scale-Rotation-Equivariant Lie Group Convolution Neural Networks (Lie Group-CNNs)

Understand

The weight-sharing mechanism of convolutional kernels ensures translation-equivariance of convolution neural networks (CNNs).

• Recently, rotation-equivariance has been investigated.
• However, research on scale-equivariance or simultaneous scale-rotation-equivariance is insufficient.
• This study proposes a Lie group-CNN, which can keep scale-rotation-equivariance for image classification tasks.