Noise Injection as a Probe of Deep Learning Dynamics
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Abstract (arXiv)
We propose a new method to probe the learning mechanism of Deep Neural Networks (DNN) by perturbing the system using Noise Injection Nodes (NINs). These nodes inject uncorrelated noise via additional optimizable weights to existing feed-forward network architectures, without changing the optimization algorithm. We find that the system displays distinct phases during training, dictated by the scale of injected noise. We first derive expressions for the dynamics of the network and utilize a simple linear model as a test case. We find that in some cases, the evolution of the noise nodes is similar to that of the unperturbed loss, thus indicating the possibility of using NINs to learn more about the full system in the future.
Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Builds on 24 of its 37 references that are in the map. First posted on arXiv 24 Oct 2022.
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24 of 37 references.
References · 24
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12 more
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Citing papers per year: 2022: 1; 2023: 0; 2024: 0; 2025: 1.
2 papers.
- 2025Sparse Neurons Carry Strong Signals of Question Ambiguity in LLMs17 Sep 2025
- 2022Noise Injection Node Regularization for Robust Learning27 Oct 2022