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Simplicity Suffices for Parameter Noise Injection in Stochastic Gradient Descent

Injecting noise into the optimization process is a well-established technique for improving the training and generalization of deep neural networks. Yet, despite the breadth of existing approaches, it remains unclear which design choices truly matter in practice. In this work, we investigate parameter noise injection for stochastic gradient descent, focusing on two key questions: how to efficiently pair each training example with its own perturbation in mini-batch training, and whether sophisticated noise parameterizations or multi-sample gradient averaging yield meaningful gains over simpler alternatives. To address the first question, we leverage a distributional identity for linear lay...

AuthorsBenjamin Leblanc, Louis-Jacob Lebel, Teddy Kana et al.
Primary categorycs.LG
Published10 June 2026
Last updated at source10 June 2026
cs.LG
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