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LFA applied to CNNs: Efficient Singular Value Decomposition of Convolutional Mappings by Local Fourier Analysis

  • The singular values of convolutional mappings contain valuable spectral properties that can enhance the generalization and robustness of convolutional neural networks.
  • Computing singular values is usually resource-intensive, especially for large matrices representing convolutional mappings with high-dimensional inputs and many channels.
  • This work introduces a novel approach based on local Fourier analysis to efficiently compute singular values of convolutional mappings with a complexity of O(N).
  • The proposed method is scalable and provides a practical solution for calculating the complete set of singular values and corresponding singular vectors for high-dimensional convolutional mappings.

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