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Scaling Law Fitting on OLMo2 Suite

0.9886Performance (4-bit)Shannon Scaling Law
0.9725840.9767420.98090.985058May 22, 2026

Evaluation results

MethodLinks
Shannon Scaling Law2026.050.98860.98880.88690.95480.06
Asymmetric Law2026.050.9850.98820.88680.95330.06
QiD LawFormula=aN^-α + bD^-β + c + d(D^β' / N^α' X^γ)2026.050.9790.97910.83530.93110.08
Law of PrecisionFormula=aN^-α + bD^-β + c + d(D^β' / N^α' e^γX)2026.050.9790.97910.83530.93110.08
Symmetric Law2026.050.97890.97450.87130.94160.06
Chinchilla Law2026.050.97660.98710.61550.85970.21
OpenAI Law2026.050.97320.970.61550.85290.21