mlsanityData to 7 Oct 2026

Backward Gradient Normalization in Deep Neural Networks

arXiv 2106.09475 ↗First posted 17 Jun 2021cs.LGcited by 2

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Abstract (arXiv)

We introduce a new technique for gradient normalization during neural network training. The gradients are rescaled during the backward pass using normalization layers introduced at certain points within the network architecture. These normalization nodes do not affect forward activity propagation, but modify backpropagation equations to permit a well-scaled gradient flow that reaches the deepest network layers without experimenting vanishing or explosion. Results on tests with very deep neural networks show that the new technique can do an effective control of the gradient norm, allowing the update of weights in the deepest layers and improving network accuracy on several experimental conditions.

Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Builds on 8 of its 17 references that are in the map. First posted on arXiv 17 Jun 2021.

Builds on

8 of 17 references.

References · 8

  1. 2015Deep Residual Learning for Image Recognitioncited by 51,809
  2. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  3. 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 6,979
  4. 2016Layer Normalizationcited by 5,579
  5. 2014Deep Learning in Neural Networks: An Overviewcited by 765
  6. 2016Weight Normalization: A Simple Reparameterization to Accelerate Training of Deep Neural Networkscited by 541
  7. 2015Beyond Convexity: Stochastic Quasi-Convex Optimizationcited by 75
  8. 2016The Power of Normalization: Faster Evasion of Saddle Pointscited by 29

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 1; 2023: 0; 2024: 0; 2025: 0; 2026: 1.

2 papers.