Scaling Law Fitting on SiQA
0.987Score at Scaling Factor 1e-5Shannon Scaling Law
Evaluation Results
| Method | Links | |||||||
|---|---|---|---|---|---|---|---|---|
| Shannon Scaling LawFormula=aN^α log2(1 + bD^β / (c(DN)^γ + dD^δ + e))2026.05 | 0.987 | 0.924 | 0.831 | 0.92 | 0.921 | 0.916 | 0.06 | |
| Perturbation-aware Baseline (Exponential)Formula=a/N^α + b/D^β + c + d(D^β'/N^α')e^(γX)2026.05 | 0.985 | 0.868 | 0.748 | 0.488 | 0.223 | 0.662 | 0.31 | |
| Asymmetric LawFormula=aN^α / (D^β + bD^β'N^α' + c)2026.05 | 0.974 | 0.838 | 0.758 | 0.886 | 0.92 | 0.875 | 0.08 | |
| Symmetric LawFormula=aN^α / (D^β + bD^βN^α + c)2026.05 | 0.965 | 0.735 | 0.663 | 0.683 | 0.757 | 0.76 | 0.12 | |
| OpenAI LawFormula=[a/N^α + b/D^β]^-12026.05 | 0.956 | 0.58 | 0 | 0 | -0.879 | 0.131 | 0.7 | |
| Perturbation-aware Baseline (Power)Formula=a/N^α + b/D^β + c + d(D^β'/N^α')X^γ2026.05 | 0.929 | 0.648 | 0.379 | 0.488 | 0.427 | 0.574 | 0.22 | |
| Chinchilla LawFormula=a/N^α + b/D^β + c2026.05 | 0.928 | 0.58 | 0.167 | 0.014 | 0.007 | 0.339 | 0.4 |