# Implicit Regularization in Hierarchical Tensor Factorization and Deep Convolutional Neural Networks

@inproceedings{Razin2022ImplicitRI, title={Implicit Regularization in Hierarchical Tensor Factorization and Deep Convolutional Neural Networks}, author={Noam Razin and Asaf Maman and Nadav Cohen}, booktitle={International Conference on Machine Learning}, year={2022} }

In the pursuit of explaining implicit regularization in deep learning, prominent focus was given to matrix and tensor factorizations, which correspond to simpliﬁed neural networks. It was shown that these models exhibit an implicit tendency towards low matrix and tensor ranks, respectively. Drawing closer to practical deep learning, the current paper theoretically analyzes the implicit regularization in hierarchical tensor factorization, a model equivalent to certain deep convolutional neural…

## 7 Citations

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