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Mathematical Reasoning on ADDSUB

93.1Solve RateQwen2-7B-SFT + Full-Step-DPO
15.20435.42755.6575.873Nov 18, 2022Apr 4, 2023Aug 20, 2023Jan 4, 2024May 21, 2024Oct 5, 2024Feb 20, 2025

Evaluation results

MethodLinks
Qwen2-7B-SFT + Full-Step-DPOBackbone=Qwen2-7B, Training Strategy=Full-Step-DPO2025.0293.1
Qwen2-7B-SFTBackbone=Qwen2-7B, Training Strategy=SFT2025.0292.7
PALPrompting Strategy=Program-aided, Model=Codex2022.1192.5
Qwen2-7B-SFT + Step-DPOBackbone=Qwen2-7B, Training Strategy=Step-DPO2025.0292.2
COT PaLM-540BPrompting Strategy=Chain-of-Thought, Model=PaLM-540B2022.1191.9
DIRECT CodexPrompting Strategy=Direct, Model=Codex2022.1190.9
Zero-shot-CPPrompting Strategy=Zero-shot-CP, Base Model=GPT-3.5-Turbo, Number of runs=52024.0390.46
Llama-3-8B-SFT + Full-Step-DPOBackbone=Llama-3-8B, Training Strategy=Full-Step-DPO2025.0288.8
MetaMath-Mistral-7B + Full-Step-DPOBackbone=Mistral-7B, Training Strategy=Full-Step-DPO2025.0288.6
Llama-3-8B-SFT + Step-DPOBackbone=Llama-3-8B, Training Strategy=Step-DPO2025.0288.5
Llama-3-8B-SFTBackbone=Llama-3-8B, Training Strategy=SFT2025.0288.4
DeepSeekMath-Base-SFTBackbone=DeepSeekMath-Base, Training Strategy=SFT2025.0287.6
MetaMath-Mistral-7B + Step-DPOBackbone=Mistral-7B, Training Strategy=Step-DPO2025.0286.9
MetaMath-Mistral-7BBackbone=Mistral-7B, Training Strategy=SFT2025.0286.6
DeepSeekMath-Base-SFT + DPOBackbone=DeepSeekMath-Base, Training Strategy=DPO2025.0286.6
DeepSeekMath-Base-SFT + Full-Step-DPOBackbone=DeepSeekMath-Base, Training Strategy=Full-Step-DPO2025.0286.6
Zero-shot-CoTPrompting Strategy=Zero-shot-CoT, Base Model=GPT-3.5-Turbo, Number of runs=52024.0386.16
COT CodexPrompting Strategy=Chain-of-Thought, Model=Codex2022.1186
DeepSeekMath-Base-SFT + Step-DPOBackbone=DeepSeekMath-Base, Training Strategy=Step-DPO2025.0285.3
Zero-shotPrompting Strategy=Zero-shot, Base Model=GPT-3.5-Turbo, Number of runs=52024.0382.78
Llama-3-8B-SFT + DPOBackbone=Llama-3-8B, Training Strategy=DPO2025.0260
MetaMath-Mistral-7B + DPOBackbone=Mistral-7B, Training Strategy=DPO2025.0253.4
COT LAMDA-137BPrompting Strategy=Chain-of-Thought, Model=LaMDA-137B2022.1152.9
Qwen2-7B-SFT + DPOBackbone=Qwen2-7B, Training Strategy=DPO2025.0225.6
COT UL2-20BPrompting Strategy=Chain-of-Thought, Model=UL2-20B2022.1118.2