Math Reasoning on MSVAMP (test)
83.9Average AccuracyLanguage Steering
Evaluation results
| Method | Links | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Language SteeringModel=Qwen2.5-14B-Instruct, Setting=Ours2026.02 | 83.9 | — | — | — | — | — | — | — | — | — | — | — | |
| OracleModel=Qwen2.5-14B-Instruct, Setting=OR2026.02 | 83.03 | — | — | — | — | — | — | — | — | — | — | — | |
| Multilingual Few-Shot BaselineModel=Qwen2.5-14B-Instruct, Setting=MFS2026.02 | 82.9 | — | — | — | — | — | — | — | — | — | — | — | |
| BaselineModel=Qwen2.5-14B-Instruct, Setting=Baseline (B)2026.02 | 82.1 | — | — | — | — | — | — | — | — | — | — | — | |
| PASMRBase Model=Deepseek-math-7b-instruct2026.01 | 79.1 | 69.7 | 68.2 | 75.1 | 80.9 | 82.4 | 82 | 83.1 | 82.6 | 81.2 | 85.4 | 71 | |
| PASMR w. OOD dataBase Model=Deepseek-math-7b-instruct2026.01 | 78.9 | 66.5 | 66.1 | 74.7 | 79.4 | 82.1 | 82.7 | 83.9 | 84.1 | 82.5 | 86.9 | 69.1 | |
| MAPOBase Model=Deepseek-math-7b-instruct2026.01 | 77.7 | 61.1 | 67.4 | 71.8 | 79 | 82 | 82 | 84.1 | 82.5 | 81.8 | 85.6 | 66.7 | |
| OracleModel=Qwen2.5-7B-Instruct, Setting=OR2026.02 | 77.65 | — | — | — | — | — | — | — | — | — | — | — | |
| Multilingual Few-Shot BaselineModel=Qwen2.5-7B-Instruct, Setting=MFS2026.02 | 76.94 | — | — | — | — | — | — | — | — | — | — | — | |
| Language SteeringModel=Qwen2.5-7B-Instruct, Setting=Ours2026.02 | 76.68 | — | — | — | — | — | — | — | — | — | — | — | |
| MSFT w. Gold Answer RLBase Model=Deepseek-math-7b-instruct2026.01 | 75.2 | 54 | 62.3 | 70.2 | 77.7 | 80.9 | 81.4 | 82.4 | 79.5 | 80.5 | 83.6 | 62.2 | |
| BaselineModel=Qwen2.5-7B-Instruct, Setting=Baseline (B)2026.02 | 75.18 | — | — | — | — | — | — | — | — | — | — | — | |
| PASMR w. OOD dataBase Model=Llama-3-8B-Instruct2026.01 | 74 | 69.5 | 65.7 | 69.1 | 74.7 | 74.1 | 73.7 | 78.4 | 77.1 | 78 | 77.6 | 68.1 | |
| MSFTBase Model=Deepseek-math-7b-instruct2026.01 | 73.2 | 52.8 | 58.1 | 69.2 | 73 | 76.5 | 77.9 | 81.1 | 79.4 | 79.6 | 84.1 | 60 | |
| GPT-4-EnShot Count=2-shot2024.06 | 73 | 75.7 | 31.2 | 68.1 | 74.8 | 78.9 | 77.9 | 81.5 | 83.9 | 78.1 | 80.1 | — | |
| MAPOBase Model=Llama-3-8B-Instruct2026.01 | 72.2 | 63.3 | 61.3 | 66.1 | 70.7 | 71.1 | 73.8 | 78.2 | 78 | 78 | 82 | 63.5 | |
| PipelineBase Model=Llama-3-8B-Instruct2026.01 | 72.1 | 60 | 63.6 | 67.5 | 69.5 | 76.8 | 77 | 78.6 | 77.8 | 78.5 | 77.8 | 63.7 | |
| PASMRBase Model=Llama-3-8B-Instruct2026.01 | 71.3 | 66.4 | 61.7 | 69.2 | 72.7 | 69.3 | 71 | 76.1 | 74 | 75.3 | 77.8 | 65.8 | |
| OracleModel=LLaMA-3.1-8B-Instruct, Setting=OR2026.02 | 70.06 | — | — | — | — | — | — | — | — | — | — | — | |
| Deepseek-math-7b-instructBase Model=Deepseek-math-7b-instruct2026.01 | 70 | 26 | 58.1 | 70.1 | 78 | 82 | 75.4 | 78 | 75.2 | 77.2 | 80 | 51.4 | |
| MCOTBase Model=Deepseek-math-7b-instruct2026.01 | 69.9 | 35.8 | 54.6 | 65.9 | 77.6 | 79.8 | 76.5 | 78.6 | 75.8 | 76.6 | 77.4 | 52.1 | |
| Llama-3-8B-InstructBase Model=Llama-3-8B-Instruct2026.01 | 69.5 | 60 | 60.5 | 65.4 | 68.9 | 70.4 | 73.1 | 75.8 | 72.5 | 70 | 78.2 | 62 | |
| MCOTBase Model=Llama-3-8B-Instruct2026.01 | 69.5 | 63.9 | 58.9 | 67.2 | 69.4 | 73 | 71.3 | 72.7 | 73.6 | 75.6 | 77.7 | 63.3 | |
| Multilingual Few-Shot BaselineModel=LLaMA-3.1-8B-Instruct, Setting=MFS2026.02 | 68.66 | — | — | — | — | — | — | — | — | — | — | — | |
| Language SteeringModel=LLaMA-3.1-8B-Instruct, Setting=Ours2026.02 | 68.6 | — | — | — | — | — | — | — | — | — | — | — | |
| MSFT w. Gold Answer RLBase Model=Llama-3-8B-Instruct2026.01 | 66.2 | 59.1 | 52.6 | 61.4 | 65.3 | 68.1 | 68.1 | 70.4 | 71.7 | 70.5 | 75.2 | 57.7 | |
| GPT-3.5-EnShot Count=2-shot2024.06 | 66 | 68.4 | 14.4 | 46 | 74 | 78.4 | 70.9 | 74.6 | 78.2 | 73.9 | 81.2 | — | |
| BaselineModel=LLaMA-3.1-8B-Instruct, Setting=Baseline (B)2026.02 | 65.84 | — | — | — | — | — | — | — | — | — | — | — | |
| MSFTBase Model=Llama-3-8B-Instruct2026.01 | 64.1 | 56.3 | 48.9 | 56.7 | 62.5 | 64.7 | 67.3 | 70.1 | 69.7 | 68.6 | 76.1 | 54 | |
| PASMR w. OOD dataBase Model=Mistral-7B-Instruct2026.01 | 60.4 | 56.6 | 46.3 | 55.5 | 58.9 | 62.4 | 64 | 64.1 | 64.8 | 63.6 | 68.2 | 52.8 | |
| PASMRBase Model=Mistral-7B-Instruct2026.01 | 60.2 | 55.3 | 48 | 56 | 60.1 | 61.4 | 63.4 | 65.1 | 62.6 | 63.4 | 66.8 | 53.1 | |
| mCoTParameter Scale=7B2024.06 | 57.7 | 55 | 53.7 | 56.4 | 58.8 | 58.2 | 58.1 | 58.9 | 58.8 | 61.1 | 58.3 | — | |
| GPT-3.5-EnShot Count=zero-shot2024.06 | 57.3 | 63.2 | 3.1 | 24.4 | 63.3 | 72.4 | 62.3 | 69.5 | 71.9 | 66.7 | 76.1 | — | |
| MSFT w. Gold Answer RLBase Model=Mistral-7B-Instruct2026.01 | 52.2 | 45.9 | 41.1 | 49.7 | 51.1 | 54.5 | 54.3 | 56.6 | 56.8 | 53.4 | 58.9 | 45.6 | |
| MSFTBase Model=Mistral-7B-Instruct2026.01 | 47.9 | 43.7 | 36.9 | 45.5 | 46.3 | 48.1 | 50 | 51.3 | 50.9 | 49.8 | 56.4 | 42 | |
| MCOTBase Model=Mistral-7B-Instruct2026.01 | 45.9 | 15.1 | 34 | 39.6 | 46 | 49 | 55.3 | 56.7 | 52.4 | 53 | 58.1 | 29.5 | |
| MAPOBase Model=Mistral-7B-Instruct2026.01 | 45.2 | 41.4 | 37.8 | 46.1 | 43.4 | 44.5 | 45.5 | 49.2 | 44.6 | 46.2 | 53.4 | 41.7 | |
| MathOctopusParameter Scale=13B2024.06 | 44.5 | 43.4 | 34.2 | 39.5 | 43.1 | 46.4 | 48.2 | 48.2 | 49.9 | 47.7 | 44.6 | — | |
| MathOctopus-MistralParameter Scale=7B, Backbone=Mistral2024.06 | 43.9 | 41.2 | 36.7 | 40.2 | 41.5 | 43.1 | 44 | 47 | 49 | 46.4 | 49.7 | — | |
| PipelineBase Model=Mistral-7B-Instruct2026.01 | 43.9 | 9.6 | 31.1 | 31.6 | 49.4 | 50 | 50.9 | 52.5 | 55 | 52.1 | 56.4 | 24.1 | |
| MathOctopusParameter Scale=7B2024.06 | 42.4 | 42.3 | 32.8 | 40.5 | 43.2 | 43.2 | 42.1 | 44.5 | 45.3 | 43.1 | 46.8 | — | |
| Mistral-7B-InstructBase Model=Mistral-7B-Instruct2026.01 | 41.7 | 12.2 | 27.2 | 28.2 | 44.6 | 46.4 | 47.3 | 53.2 | 50.3 | 51.5 | 56 | 22.5 | |
| PipelineBase Model=Deepseek-math-7b-instruct2026.01 | 38.1 | 13.8 | 28.5 | 36.8 | 37.7 | 21.9 | 56.6 | 43.9 | 52.4 | 46 | 43.8 | 26.3 | |
| WizardMathParameter Scale=13B2024.06 | 35.8 | 12.5 | 13.7 | 16.3 | 29.5 | 37 | 43.8 | 50.4 | 49.4 | 48.7 | 56.3 | — | |
| WizardMathParameter Scale=7B2024.06 | 27 | 10.3 | 16.1 | 6.3 | 26.7 | 26.8 | 33.7 | 42.9 | 39.9 | 39.6 | 45.1 | — |