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Distribution of the threshold for the symmetric perceptron

Probability 2023-01-27 v2 Combinatorics

Abstract

We derive an explicit distribution for the threshold sequence of the symmetric binary perceptron with Gaussian disorder, proving that the critical window is of constant width.

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Cite

@article{arxiv.2301.10701,
  title  = {Distribution of the threshold for the symmetric perceptron},
  author = {Ashwin Sah and Mehtaab Sawhney},
  journal= {arXiv preprint arXiv:2301.10701},
  year   = {2023}
}

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20 pages