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Summary of Learning Convolutional Neural Networks in the Frequency Domain, by Hengyue Pan and Yixin Chen and Xin Niu and Wenbo Zhou and Dongsheng Li


Learning Convolutional Neural Networks in the Frequency Domain

by Hengyue Pan, Yixin Chen, Xin Niu, Wenbo Zhou, Dongsheng Li

First submitted to arxiv on: 14 Apr 2022

Categories

  • Main: Computer Vision and Pattern Recognition (cs.CV)
  • Secondary: Artificial Intelligence (cs.AI); Machine Learning (cs.LG)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
This paper proposes the CEMNet, a novel convolutional neural network (CNN) that can be trained in the frequency domain. By leveraging the Cross-Correlation Theorem, the image convolution operation is replaced with element-wise multiplication, significantly reducing computation complexity. To alleviate over-fitting, the Weight Fixation mechanism is introduced, and counterparts for Batch Normalization, Leaky ReLU, and Dropout are designed to optimize performance in the frequency domain. A two-branches network structure accommodates complex inputs from Discrete Fourier Transform. Experimental results on MNIST and CIFAR-10 databases demonstrate CEMNet’s effectiveness.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper creates a new way for computers to recognize images using a special kind of neural network called the CEMNet. The old way used something called image convolution, which is very good at recognizing patterns in pictures, but it takes a lot of computer power and can be slow. The researchers found a mathematical trick that lets them use a much faster operation instead. They also developed new ways to prevent the computer from getting too good at recognizing patterns (which can make it bad at generalizing), and made sure their system could handle complicated images. When they tested their CEMNet on pictures of handwritten numbers and objects, it did very well.

Keywords

* Artificial intelligence  * Batch normalization  * Cnn  * Dropout  * Neural network  * Relu