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Estimating the Cheeger constant using machine learning

Combinatorics 2020-05-13 v1 Machine Learning

Abstract

In this paper, we use machine learning to show that the Cheeger constant of a connected regular graph has a predominant linear dependence on the largest two eigenvalues of the graph spectrum. We also show that a trained deep neural network on graphs of smaller sizes can be used as an effective estimator in estimating the Cheeger constant of larger graphs.

Keywords

Cite

@article{arxiv.2005.05812,
  title  = {Estimating the Cheeger constant using machine learning},
  author = {Ambar Jain and Shivam Pal and Kashyap Rajeevsarathy},
  journal= {arXiv preprint arXiv:2005.05812},
  year   = {2020}
}

Comments

8 figures, 1 table

R2 v1 2026-06-23T15:29:26.467Z