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.