Kryptonite-N: Machine Learning Strikes Back

Albus Li, Nathan Bailey, Will Sumerfield, Kira Kim
12/29/2024
cs.LGcs.AI

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Abstract

Quinn et al propose challenge datasets in their work called ``Kryptonite-N". These datasets aim to counter the universal function approximation argument of machine learning, breaking the notation that machine learning can ``approximate any continuous function" \cite{original_paper}. Our work refutes this claim and shows that universal function approximations can be applied successfully; the Kryptonite datasets are constructed predictably, allowing logistic regression with sufficient polynomial expansion and L1 regularization to solve for any dimension N.

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Cite this paper

@article{li2024kryptoniten,
  title  = {Kryptonite-N: Machine Learning Strikes Back},
  author = {Albus Li and Nathan Bailey and Will Sumerfield and Kira Kim},
  year   = {2024},
  eprint = {2412.20588},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2412.20588v2}
}

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