titleSkaling: Chinchilla's Exponents Meet Kaplan's Coupling
authorsMathurin Videau, Badr Youbi-Idrissi, David Lopez-Paz, Kartik Ahuja
date2026-08-07
venuearXiv (preprint, not peer reviewed)
idarXiv:2608.07222
affiliationAI at Meta
upvotes15 (Hugging Face Daily Papers, 2026-11-01)
linksabs pdf hf
abstractNeural scaling laws are foundational for language model development, yet standard formulations systematically under- and overestimate loss at data-scarce and overtraining extremes. This failure originates in the underlying assumption that model size and training data impact the loss independently. To address this, we introduce the Skaling law, a generalized functional form that couples model capacity and data through a single interaction exponent. This simple extension reduces the Mean Absolute Percentage Error (MAPE) by 1.5-3x across both interpolation and extrapolation regimes. When paired with a sparse grid strategy restricted to low-compute regimes, the Skaling law achieves accurate full-grid extrapolation using approximately 10x less compute than uniform sweeps. By enabling reliable performance prediction from small-scale experiments, the Skaling law provides a more robust and resource-efficient framework for allocating compute budgets in next-generation model training.

cite

@misc{videau2026skaling,
  title={Skaling: Chinchilla's Exponents Meet Kaplan's Coupling},
  author={Mathurin Videau and Badr Youbi-Idrissi and David Lopez-Paz and Kartik Ahuja},
  year={2026},
  eprint={2608.07222},
  archivePrefix={arXiv},
  url={https://arxiv.org/abs/2608.07222}
}