Predicting Model Performance › Key Parameters

Michael BrenndoerferNovember 2, 20251 min read
Language AI HandbookAll chapters
Part 23 of 67Scaling Laws
Chapter 168Predicting Model Performance › Key Parameters
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The parameters for scaling law prediction are:

  • E (irreducible loss): The theoretical minimum loss achievable with infinite compute, determined by the entropy of natural language.
  • A, B (scaling coefficients): Control how much model size and data size reduce loss respectively.
  • α, β (scaling exponents): Determine how quickly returns diminish as each dimension scales (typically ~0.34 and ~0.28).
  • n_samples: Number of Monte Carlo samples for uncertainty quantification. More samples provide tighter confidence intervals.
  • holdout_fraction: Fraction of largest training runs to reserve for validation when testing extrapolation accuracy.