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Mathematical Reasoning on MATH500 (Accuracy Only)

92.1Accuracy (MATH500)GRPO
21.629639.924858.2276.5152Jun 30, 2026Jul 1, 2026Jul 2, 2026Jul 3, 2026Jul 4, 2026Jul 5, 2026Jul 6, 2026

Evaluation results

MethodLinks
GRPOTeacher model=Qwen3-30B-A3B-Instruct-25072026.0792.1
OPDTeacher model=Qwen3-30B-A3B-Instruct-2507, Student model=Qwen3-8B2026.0789
ReOPDTeacher model=Qwen3-4B-Instruct-2507, Student model=Qwen3-4B-Instruct-25072026.0788.9
ReOPDTeacher model=Qwen3-30B-A3B-Instruct-2507, Student model=Qwen3-8B2026.0788.4
OPDTeacher model=Qwen3-4B-Instruct-2507, Student model=Qwen3-4B-Instruct-25072026.0786.9
ReOPDTeacher model=Qwen3-30B-A3B-Instruct-2507, Student model=Qwen3-4B-Instruct-25072026.0786.5
OPDTeacher model=Qwen3-8B, Student model=Qwen3-4B-Instruct-25072026.0785.8
GRPOTeacher model=Qwen3-4B-Instruct-25072026.0785.1
ReOPDTeacher model=Qwen3-8B, Student model=Qwen3-4B-Instruct-25072026.0784.7
GRPOTeacher model=Qwen3-8B2026.0784.3
OPDTeacher model=Qwen3-30B-A3B-Instruct-2507, Student model=Qwen3-4B-Instruct-25072026.0783.8
Cold StartTeacher model=Qwen3-30B-A3B-Instruct-2507, Student model=Qwen3-8B2026.0782
SFTTeacher model=Qwen3-4B-Instruct-2507, Student model=Qwen3-4B-Instruct-25072026.0780.9
SFTTeacher model=Qwen3-8B, Student model=Qwen3-4B-Instruct-25072026.0780.8
Cold StartTeacher model=Qwen3-4B-Instruct-2507, Student model=Qwen3-4B-Instruct-25072026.0779.1
BaseTeacher model=Qwen3-30B-A3B-Instruct-2507, Student model=Qwen3-8B2026.0764.8
BaseTeacher model=Qwen3-4B-Instruct-2507, Student model=Qwen3-4B-Instruct-25072026.0758.2
LoRA-RLMOBackbone=Qwen2.5-7B-Instruct, Fine-tuning algorithm=GRPO, Training dataset=DAPO-Math-17k, Rank=r=32, Evaluation protocol=pass@4, B0=0, A0=V ⊤ −r2026.0656.73
LoRA-RLPOBackbone=Qwen2.5-7B-Instruct, Fine-tuning algorithm=GRPO, Training dataset=DAPO-Math-17k, Rank=r=32, Evaluation protocol=pass@4, B0=0, A0=V ⊤ r2026.0655.6
MiLoRABackbone=Qwen2.5-7B-Instruct, Fine-tuning algorithm=GRPO, Training dataset=DAPO-Math-17k, Rank=r=32, Evaluation protocol=pass@4, B0=U−rΣ 1/2 −r, A0=Σ1/2 −r V ⊤ −r2026.0654.13
LoRABackbone=Qwen2.5-7B-Instruct, Fine-tuning algorithm=GRPO, Training dataset=DAPO-Math-17k, Rank=r=32, Evaluation protocol=pass@4, B0=0, A0=N (0, 1/n)2026.0652.8
PiSSABackbone=Qwen2.5-7B-Instruct, Fine-tuning algorithm=GRPO, Training dataset=DAPO-Math-17k, Rank=r=32, Evaluation protocol=pass@4, B0=UrΣ 1/2 r, A0=Σ1/2 r V ⊤ r2026.0650.33
dOPSDBase Model=Dream-7B-Instruct2026.0742.2
BaseBase Model=Dream-7B-Instruct2026.0738.97
GRPOBase Model=Dream-7B-Instruct2026.0737.86
OPSD (answer-only)Base Model=Dream-7B-Instruct2026.0737.23
SFTBase Model=Dream-7B-Instruct2026.0736.49
dOPSDBase Model=LLaDA-8B-Instruct2026.0736
OPSD (full-solution)Base Model=Dream-7B-Instruct2026.0735.72
GRPOBase Model=LLaDA-8B-Instruct2026.0732.77
OPSD (answer-only)Base Model=LLaDA-8B-Instruct2026.0731.45
BaseBase Model=LLaDA-8B-Instruct2026.0731.24
SFTBase Model=LLaDA-8B-Instruct2026.0730.12
OPSD (full-solution)Base Model=LLaDA-8B-Instruct2026.0724.34