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Numerical Stability Evaluation on Pretrained Models First Forward Pass

1Max Scaled LogitGeometry-aware Scaling
-378.882,185.314,749.57,313.69Feb 21, 2026

Evaluation results

MethodLinks
Geometry-aware ScalingModel=Llama-2-70B, Layers=80, Attention=Grouped Query Attention, GQA ratio=8:12026.021—
Geometry-aware ScalingModel=Llama-2-13B, Layers=402026.022.5—
Geometry-aware ScalingModel=GPT-2 XL, Parameters=1.5B, Layers=482026.02120—
Geometry-aware ScalingModel=Mistral-7B, Layers=32, Attention=Grouped Query Attention, GQA ratio=4:12026.02196—
Delayed ScalingModel=Llama-2-13B, Layers=402026.025,600—
Delayed ScalingModel=Mistral-7B, Layers=32, Attention=Grouped Query Attention, GQA ratio=4:12026.027,123—
Delayed ScalingModel=GPT-2 XL, Parameters=1.5B, Layers=482026.028,761—
Delayed ScalingModel=Llama-2-70B, Layers=80, Attention=Grouped Query Attention, GQA ratio=8:12026.029,498—