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The Generalization Error of the Minimum-norm Solutions for Over-parameterized Neural Networks

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arxiv 1912.06987 v2 pith:6MR3AHCD submitted 2019-12-15 stat.ML cs.LGmath.STstat.TH

classification stat.MLcs.LGmath.STstat.TH
keywords generalizationminimum-normmodelmodelserrornetworkneuralover-parametrized
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We study the generalization properties of minimum-norm solutions for three over-parametrized machine learning models including the random feature model, the two-layer neural network model and the residual network model. We proved that for all three models, the generalization error for the minimum-norm solution is comparable to the Monte Carlo rate, up to some logarithmic terms, as long as the models are sufficiently over-parametrized.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 2 citations worldwide. Full citation record

  1. Quantifying the Prediction Uncertainty of Machine Learning Models for Individual Data

    cs.LG 2024-12 conditional novelty 5.0 of 10

    A per-sample confidence score derived from the pNML min-max regret is applied to linear regression and neural networks, and improves OOD detection, adversarial robustness, and active learning.

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