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On the Generalization of Models Trained with SGD: Information-Theoretic Bounds and Implications

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arxiv 2110.03128 v2 pith:MWH6BAJC submitted 2021-10-07 cs.LG cs.ITmath.IT

classification cs.LGcs.ITmath.IT
keywords boundsgeneralizationnetworksinformation-theoreticmodelsneuralsometrained
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This paper follows up on a recent work of Neu et al. (2021) and presents some new information-theoretic upper bounds for the generalization error of machine learning models, such as neural networks, trained with SGD. We apply these bounds to analyzing the generalization behaviour of linear and two-layer ReLU networks. Experimental study of these bounds provide some insights on the SGD training of neural networks. They also point to a new and simple regularization scheme which we show performs comparably to the current state of the art.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fairness Overfitting in Machine Learning: An Information-Theoretic Perspective

    cs.LG 2025-06 reject novelty 5.0 of 10

    Claims computable MI/CMI bounds on fairness generalization error, but the core derivation uses an invalid variance-based Hoeffding step.

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