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Scaling Law Fitting on StarCoder

0.98Performance (1e-5)Perturbation-aware Baseline (Exponential)
0.925920.939960.9540.96804May 22, 2026

Evaluation results

MethodLinks
Perturbation-aware Baseline (Exponential)Formula=a/N^α + b/D^β + c + d(D^β'/N^α')e^(γX)2026.050.980.9740.9610.9130.3840.8420.26
Shannon Scaling LawFormula=aN^α log2(1 + bD^β / (c(DN)^γ + dD^δ + e))2026.050.9770.9760.9730.9010.8580.9370.05
Asymmetric LawFormula=aN^α / (D^β + bD^β'N^α' + c)2026.050.970.9630.9410.8720.8320.9160.06
Symmetric LawFormula=aN^α / (D^β + bD^βN^α + c)2026.050.9630.950.9040.6770.6410.8270.16
OpenAI LawFormula=[a/N^α + b/D^β]^-12026.050.9560.9420.8810.507-8.336-1.014.1
Perturbation-aware Baseline (Power)Formula=a/N^α + b/D^β + c + d(D^β'/N^α')X^γ2026.050.9290.8990.8440.6050.3840.7320.23
Chinchilla LawFormula=a/N^α + b/D^β + c2026.050.9280.9030.8320.5070.0020.6340.39