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Identifying Generalization Properties in Neural Networks

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arxiv 1809.07402 v1 pith:3TQKBBQP submitted 2018-09-19 cs.LG stat.ML

classification cs.LGstat.ML
keywords generalizationmodelhessianlocalpropertiesrelatedabilityaccordingly
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While it has not yet been proven, empirical evidence suggests that model generalization is related to local properties of the optima which can be described via the Hessian. We connect model generalization with the local property of a solution under the PAC-Bayes paradigm. In particular, we prove that model generalization ability is related to the Hessian, the higher-order "smoothness" terms characterized by the Lipschitz constant of the Hessian, and the scales of the parameters. Guided by the proof, we propose a metric to score the generalization capability of the model, as well as an algorithm that optimizes the perturbed model accordingly.

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Cited by 2 Pith papers

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

  1. IKUN: Initialization to Keep snn training and generalization great with sUrrogate-stable variaNce

    cs.LG 2024-11 reject novelty 5.0 of 10

    IKUN sets initial SNN weights with a surrogate-gradient variance correction and reaches accuracy thresholds in fewer epochs on FashionMNIST, but final accuracy is close to standard initializations.

  2. A Method for Enhancing Generalization of Adam by Multiple Integrations

    cs.LG 2024-12 reject novelty 4.0 of 10

    MIAdam adds an n-th order integral term to Adam's gradient update for the first ζ steps, then switches to Adam, and is reported to improve test accuracy and label-noise robustness.

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