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Scaling Law Fitting on LLM-book (test)

3.671Mean Relative Error (MRE)PBH
3.379885.344947.319.27506May 18, 2026

Evaluation results

MethodLinks
PBHN=5, Dimension (d)=19, LBFGS steps=5, CPU time=300s, Gamma=10, Delta=10^-3, Seeds=32026.053.671
PBHN=15, Dimension (d)=19, LBFGS steps=5, CPU time=300s, Gamma=10, Delta=10^-3, Seeds=32026.053.752
PBHN=10, Dimension (d)=19, LBFGS steps=5, CPU time=300s, Gamma=10, Delta=10^-3, Seeds=32026.054.136
BHDimension (d)=19, LBFGS steps=5, CPU time=300s, Gamma=10, Delta=10^-3, Seeds=32026.054.915
ZOPN=5, Dimension (d)=19, LBFGS steps=5, CPU time=300s, Gamma=10, Delta=10^-3, Seeds=32026.056.158
PBHN=5, d=47, lbfgs steps=52026.059.91
PBHN=5, lbfgs steps=10, CPU time=300s, d=47, seeds=32026.0510.046
PBHN=15, lbfgs steps=10, CPU time=300s, d=47, seeds=32026.0510.173
PBHN=50, d=47, lbfgs steps=52026.0510.256
PBHN=40, lbfgs steps=10, CPU time=300s, d=47, seeds=32026.0510.264
PBHN=50, lbfgs steps=10, CPU time=300s, d=47, seeds=32026.0510.265
PBHN=40, d=47, lbfgs steps=52026.0510.295
PBHN=30, d=47, lbfgs steps=52026.0510.451
PBHN=15, d=47, lbfgs steps=52026.0510.529
PBHN=20, d=47, lbfgs steps=52026.0510.59
BHd=47, lbfgs steps=52026.0510.629
BHlbfgs steps=10, CPU time=300s, d=47, seeds=32026.0510.649
PBHN=30, lbfgs steps=10, CPU time=300s, d=47, seeds=32026.0510.718
PBHN=20, lbfgs steps=10, CPU time=300s, d=47, seeds=32026.0510.722
ZOPd=47, lbfgs steps=52026.0510.8
ZOPlbfgs steps=10, CPU time=300s, d=47, seeds=32026.0510.8
PBHN=10, d=47, lbfgs steps=52026.0510.947
PBHN=10, lbfgs steps=10, CPU time=300s, d=47, seeds=32026.0510.949