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HeunNet: Extending ResNet using Heun's Methods paper by Mehrdad Maleki
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HeunNet: Extending ResNet using Heun's Methods

by Mehrdad Maleki ID: arxiv-paper--2105.06168

There is an analogy between the ResNet (Residual Network) architecture for deep neural networks and an Euler solver for an ODE. The transformation performed by each layer resembles an Euler step in solving an ODE. We consider the Heun Method, which involves a single predictor-corrector cycle, and co...

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BibTeX 
@misc{arxiv_paper__2105.06168,
  author = {Mehrdad Maleki},
  title = {HeunNet: Extending ResNet using Heun's Methods Paper},
  year = {2026},
  howpublished = {\url{https://arxiv.org/abs/2105.06168v2}},
  note = {Accessed via Free2AITools Knowledge Fortress}
}
APA Style
Mehrdad Maleki. (2026). HeunNet: Extending ResNet using Heun's Methods [Paper]. Free2AITools. https://arxiv.org/abs/2105.06168v2

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πŸ“ Executive Summary

"There is an analogy between the ResNet (Residual Network) architecture for deep neural networks and an Euler solver for an ODE. The transformation performed by each layer resembles an Euler step in solving an ODE. We consider the Heun Method, which involves a single predictor-corrector cycle, and complete the analogy, building a predictor-corrector variant of ResNet, which we call a HeunNet. Just as Heun's method is more accurate than Euler's, experiments show that HeunNet achieves high accur..."

❝ Cite Node 

@article{Maleki2021HeunNet:,
  title={HeunNet: Extending ResNet using Heun's Methods},
  author={Mehrdad Maleki and Mansura Habiba and Barak A. Pearlmutter},
  journal={arXiv preprint arXiv:arxiv-paper--2105.06168},
  year={2021}
}

πŸ‘₯ Collaborating Minds

Mehrdad Maleki Mansura Habiba Barak A. Pearlmutter

Abstract & Analysis

There is an analogy between the ResNet (Residual Network) architecture for deep neural networks and an Euler solver for an ODE. The transformation performed by each layer resembles an Euler step in solving an ODE. We consider the Heun Method, which involves a single predictor-corrector cycle, and complete the analogy, building a predictor-corrector variant of ResNet, which we call a HeunNet. Just as Heun's method is more accurate than Euler's, experiments show that HeunNet achieves high accuracy with low computational (both training and test) time compared to both vanilla recurrent neural networks and other ResNet variants.

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id
arxiv-paper--2105.06168
source
arxiv
author
Mehrdad Maleki
tags
arxiv:cs.LGarxiv:cs.NE

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