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Mathematical Reasoning on Minerva (Pass@1 accuracy, Average)

31.25Pass@1 AccuracyGMPO
28.577229.271129.96530.6589Jul 8, 2026

Evaluation results

MethodLinks
GMPOBackbone=Qwen3-8B, Training Dataset=MATH (Levels 3-5), Training Protocol=Liu et al. [18]2026.0731.2559.66
GSPOBackbone=Qwen3-8B, Training Dataset=MATH (Levels 3-5), Training Protocol=Liu et al. [18]2026.0731.2560.15
UP-GRPOBackbone=Qwen3-8B, Training Dataset=MATH (Levels 3-5), Training Protocol=Liu et al. [18]2026.0731.2561.31
GRPOBackbone=Qwen3-8B, Training Dataset=MATH (Levels 3-5), Training Protocol=Liu et al. [18]2026.0730.8855.79
SAPOBackbone=Qwen3-8B, Training Dataset=MATH (Levels 3-5), Training Protocol=Liu et al. [18]2026.0730.8859.23
DPPOBackbone=Qwen3-8B, Training Dataset=MATH (Levels 3-5), Training Protocol=Liu et al. [18]2026.0730.5159.52
Dr. GRPOBackbone=Qwen3-8B, Training Dataset=MATH (Levels 3-5), Training Protocol=Liu et al. [18]2026.0730.1557.09
W-REINFORCEBackbone=Qwen3-8B, Training Dataset=MATH (Levels 3-5), Training Protocol=Liu et al. [18]2026.0730.1556.95
REINFORCE++Backbone=Qwen3-8B, Training Dataset=MATH (Levels 3-5), Training Protocol=Liu et al. [18]2026.0729.7846.77
ASPOBackbone=Qwen3-8B, Training Dataset=MATH (Levels 3-5), Training Protocol=Liu et al. [18]2026.0729.7859.67
CISPOBackbone=Qwen3-8B, Training Dataset=MATH (Levels 3-5), Training Protocol=Liu et al. [18]2026.0729.0459.36
RLOOBackbone=Qwen3-8B, Training Dataset=MATH (Levels 3-5), Training Protocol=Liu et al. [18]2026.0728.6855.23