English

Regularization for convolutional kernel tensors to avoid unstable gradient problem in convolutional neural networks

Machine Learning 2021-02-09 v1 Numerical Analysis Numerical Analysis

Abstract

Convolutional neural networks are very popular nowadays. Training neural networks is not an easy task. Each convolution corresponds to a structured transformation matrix. In order to help avoid the exploding/vanishing gradient problem, it is desirable that the singular values of each transformation matrix are not large/small in the training process. We propose three new regularization terms for a convolutional kernel tensor to constrain the singular values of each transformation matrix. We show how to carry out the gradient type methods, which provides new insight about the training of convolutional neural networks.

Keywords

Cite

@article{arxiv.2102.04294,
  title  = {Regularization for convolutional kernel tensors to avoid unstable gradient problem in convolutional neural networks},
  author = {Pei-Chang Guo},
  journal= {arXiv preprint arXiv:2102.04294},
  year   = {2021}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1907.11235

R2 v1 2026-06-23T22:56:45.423Z