Tuning Learning Rates with the Cumulative-Learning Constant

Nathan Faraj
4/30/2025
cs.LG

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Abstract

This paper introduces a novel method for optimizing learning rates in machine learning. A previously unrecognized proportionality between learning rates and dataset sizes is discovered, providing valuable insights into how dataset scale influences training dynamics. Additionally, a cumulative learning constant is identified, offering a framework for designing and optimizing advanced learning rate schedules. These findings have the potential to enhance training efficiency and performance across a wide range of machine learning applications.

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@article{faraj2025tuning,
  title  = {Tuning Learning Rates with the Cumulative-Learning Constant},
  author = {Nathan Faraj},
  year   = {2025},
  eprint = {2505.13457},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2505.13457v1}
}

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