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Mathematical Reasoning on Gaokao (pass@1 evaluation)

72.7Average ScoreSAI-DPO
25.69237.89650.162.304May 22, 2025Jun 16, 2025Jul 12, 2025Aug 6, 2025Sep 1, 2025Sep 26, 2025Oct 22, 2025

Evaluation results

MethodLinks
SAI-DPOModel=Qwen3-8B2025.0572.7——
IDPOModel=Qwen3-8B2025.0571——
Base ModelModel=Qwen3-8B2025.0568.1——
SAI-DPOModel=Qwen2.5-7B-Math-SFT2025.0567.5——
IDPOModel=Qwen2.5-7B-Math-SFT2025.0565.7——
Base ModelModel=Qwen2.5-7B-Math-SFT2025.0565.5——
SAI-DPOModel=Qwen2.5-7B-Math-Base2025.0562.3——
IDPOModel=Qwen2.5-7B-Math-Base2025.0561.5——
Base ModelModel=Qwen2.5-7B-Math-Base2025.0556.1——
Scaf-GRPOCategory=Long CoT2025.1050.963.4—
LUFFYCategory=Long CoT2025.1046.662.7—
Oat-ZeroCategory=Long CoT2025.1046.562.9—
OpenReasoner-ZeroCategory=Long CoT2025.104567.2—
Eurus-2-7B-PRIMECategory=Long CoT2025.1043.659.3—
rStar-Math-7BCategory=Long CoT2025.1043.659.2—
SimpleRL-ZeroCategory=Long CoT2025.1042.660.8—
SAI-DPOModel=Llama3.1-8B-Instruct2025.0535.7——
IDPOModel=Llama3.1-8B-Instruct2025.0534.5——
Base ModelModel=Llama3.1-8B-Instruct2025.0531.9——
Qwen-2.5-7B-BaseCategory=Short CoT2025.1031.342.6—
Qwen-2.5-Math-7B-BaseCategory=Short CoT2025.1027.535.1—
BaselineBackbone=DeepSeek-R1-Distill-Qwen-7B2025.05——80.22
BaselineBackbone=DeepSeek-R1-Distill-Llama-8B2025.05——72.78
BaselineBackbone=Qwen2.5-14B-Instruct2025.05——41.14
BaselineBackbone=Qwen2.5-32B-Instruct2025.05——44.15
BaselineBackbone=QwQ-32B2025.05——86.88
GRPOBackbone=DeepSeek-R1-Distill-Qwen-7B2025.05——80.3
GRPOBackbone=DeepSeek-R1-Distill-Llama-8B2025.05——68.99
GRPOBackbone=Qwen2.5-14B-Instruct2025.05——39.16
GRPOBackbone=Qwen2.5-32B-Instruct2025.05——45.73
GRPOBackbone=QwQ-32B2025.05——87.11
SGPOBackbone=DeepSeek-R1-Distill-Qwen-7B, Judge Model=o4-mini-04162025.05——81.33
SGPOBackbone=DeepSeek-R1-Distill-Qwen-7B, Judge Model=DeepSeek-V3-03242025.05——82.28
SGPOBackbone=DeepSeek-R1-Distill-Qwen-7B, Judge Model=Qwen3-235B-A22B2025.05——81.17
SGPOBackbone=DeepSeek-R1-Distill-Qwen-7B, Judge Model=QwQ-32B2025.05——82.28
SGPOBackbone=DeepSeek-R1-Distill-Qwen-7B, Judge Model=QwQ-32B, Stability Parameters=w/o {beta,gamma}2025.05——81.24
SGPOBackbone=DeepSeek-R1-Distill-Llama-8B, Judge Model=Claude-3.72025.05——71.52
SGPOBackbone=Qwen2.5-14B-Instruct, Judge Model=o4-mini-04162025.05——39
SGPOBackbone=Qwen2.5-32B-Instruct, Judge Model=o4-mini-04162025.05——45.09
SGPOBackbone=QwQ-32B, Judge Model=DeepSeek-V3-03242025.05——87.11