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A Comparison of the Delta Method and the Bootstrap in Deep Learning Classification

Machine Learning 2021-07-06 v1 Machine Learning

Abstract

We validate the recently introduced deep learning classification adapted Delta method by a comparison with the classical Bootstrap. We show that there is a strong linear relationship between the quantified predictive epistemic uncertainty levels obtained from the two methods when applied on two LeNet-based neural network classifiers using the MNIST and CIFAR-10 datasets. Furthermore, we demonstrate that the Delta method offers a five times computation time reduction compared to the Bootstrap.

Keywords

Cite

@article{arxiv.2107.01606,
  title  = {A Comparison of the Delta Method and the Bootstrap in Deep Learning Classification},
  author = {Geir K. Nilsen and Antonella Z. Munthe-Kaas and Hans J. Skaug and Morten Brun},
  journal= {arXiv preprint arXiv:2107.01606},
  year   = {2021}
}
R2 v1 2026-06-24T03:52:33.114Z