Abstract:A high-accuracy CNN is often accompanied by huge parameters, which are usually stored in the high-dimensional tensors. However, there are few methods can figure out the redundant information of the parameters stored in the high-dimensional tensors, which leads to the lack of theoretical guidance for the compression of CNNs. In this paper, we propose a novel theory to find redundant information in three dimensional tensors, namely Quantified Similarity of Feature Maps (QSFM), and use this theory to prune convolutional neural networks to enhance the inference speed. Our method belongs to filter pruning, which can be implemented without using any special libraries. We perform our method not only on common convolution layers but also on special convolution layers, such as depthwise separable convolution layers. The experiments prove that QSFM can find the redundant information in the neural network effectively. Without any fine-tuning operation, QSFM can compress ResNet-56 on CIFAR-10 significantly (48.27% FLOPs and 57.90% parameters reduction) with only a loss of 0.54% in the top-1 accuracy. QSFM also prunes ResNet-56, VGG-16 and MobileNetV2 with fine-tuning operation, which also shows excellent results.