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Redundancy in Deep Linear Neural Networks

Machine Learning 2022-06-10 v1 Performance

Abstract

Conventional wisdom states that deep linear neural networks benefit from expressiveness and optimization advantages over a single linear layer. This paper suggests that, in practice, the training process of deep linear fully-connected networks using conventional optimizers is convex in the same manner as a single linear fully-connected layer. This paper aims to explain this claim and demonstrate it. Even though convolutional networks are not aligned with this description, this work aims to attain a new conceptual understanding of fully-connected linear networks that might shed light on the possible constraints of convolutional settings and non-linear architectures.

Keywords

Cite

@article{arxiv.2206.04490,
  title  = {Redundancy in Deep Linear Neural Networks},
  author = {Oriel BenShmuel},
  journal= {arXiv preprint arXiv:2206.04490},
  year   = {2022}
}
R2 v1 2026-06-24T11:45:02.615Z