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Mathematical Reasoning on GK 2023

50AccuracyBiRM
7.15218.27629.440.524Feb 20, 2025Feb 22, 2025Feb 24, 2025Feb 27, 2025Mar 1, 2025Mar 3, 2025Mar 6, 2025

Evaluation results

MethodLinks
BiRMBackbone=Qwen2.5-7B, K=1002025.0350
BiRMBackbone=Qwen2.5-7B, K=202025.0348.4
PRMBackbone=Qwen2.5-7B, K=1002025.0348.3
PRMBackbone=Qwen2.5-7B, K=202025.0348.1
BiRMBackbone=Qwen2.5-7B, K=82025.0346.8
ORMBackbone=Qwen2.5-7B, K=1002025.0346.8
PRMBackbone=Qwen2.5-7B, K=82025.0345.6
ORMBackbone=Qwen2.5-7B, K=202025.0345.5
BiRMBackbone=Qwen2.5-7B, K=42025.0344.5
ORMBackbone=Qwen2.5-7B, K=82025.0344.2
PRMBackbone=Qwen2.5-7B, K=42025.0344
ORMBackbone=Qwen2.5-7B, K=42025.0342.8
BiRMBackbone=Qwen2.5-3B, K=202025.0339.1
BiRMBackbone=Qwen2.5-3B, K=1002025.0339
PRMBackbone=Qwen2.5-3B, K=202025.0338.4
ORMBackbone=Qwen2.5-3B, K=1002025.0338.1
PRMBackbone=Qwen2.5-3B, K=82025.0337.9
BiRMBackbone=Qwen2.5-3B, K=82025.0337.9
PRMBackbone=Qwen2.5-3B, K=1002025.0337.9
ORMBackbone=Qwen2.5-3B, K=202025.0337.7
BiRMBackbone=Qwen2.5-3B, K=42025.0336.1
ORMBackbone=Qwen2.5-3B, K=82025.0336.1
ORMBackbone=Qwen2.5-3B, K=42025.0335.6
PRMBackbone=Qwen2.5-3B, K=42025.0334.9
Qwen2-7B-SFT + Full-Step-DPOBase Model=Qwen2-7B, Optimization Strategy=Full-Step-DPO2025.0233.5
Qwen2-7B-SFTBase Model=Qwen2-7B, Optimization Strategy=SFT2025.0233
Qwen2-7B-SFT + Step-DPOBase Model=Qwen2-7B, Optimization Strategy=Step-DPO2025.0232.5
DeepSeekMath-Base-SFT + Full-Step-DPOBase Model=DeepSeekMath-Base, Optimization Strategy=Full-Step-DPO2025.0231.7
DeepSeekMath-Base-SFT + DPOBase Model=DeepSeekMath-Base, Optimization Strategy=DPO2025.0231.2
DeepSeekMath-Base-SFT + Step-DPOBase Model=DeepSeekMath-Base, Optimization Strategy=Step-DPO2025.0231.2
BiRMBackbone=Llama3.1-8B, K=1002025.0330.7
DeepSeekMath-Base-SFTBase Model=DeepSeekMath-Base, Optimization Strategy=SFT2025.0230.4
PRMBackbone=Llama3.1-8B, K=1002025.0329.6
BiRMBackbone=Llama3.1-8B, K=202025.0329.2
PRMBackbone=Llama3.1-8B, K=202025.0328.6
BiRMBackbone=Llama3.1-8B, K=82025.0327.5
ORMBackbone=Llama3.1-8B, K=202025.0327
PRMBackbone=Llama3.1-8B, K=82025.0326.6
ORMBackbone=Llama3.1-8B, K=1002025.0326.2
ORMBackbone=Llama3.1-8B, K=82025.0325.6
BiRMBackbone=Llama3.1-8B, K=42025.0325.4
PRMBackbone=Llama3.1-8B, K=42025.0325.1
ORMBackbone=Llama3.1-8B, K=42025.0323.9
Llama-3-8B-SFT + Full-Step-DPOBase Model=Llama-3-8B, Optimization Strategy=Full-Step-DPO2025.0222.1
MetaMath-Mistral-7B + Full-Step-DPOBase Model=MetaMath-Mistral-7B, Optimization Strategy=Full-Step-DPO2025.0220.5
Llama-3-8B-SFTBase Model=Llama-3-8B, Optimization Strategy=SFT2025.0220.5
Llama-3-8B-SFT + Step-DPOBase Model=Llama-3-8B, Optimization Strategy=Step-DPO2025.0219.7
MetaMath-Mistral-7BBase Model=MetaMath-Mistral-7B, Optimization Strategy=SFT2025.0215.8
MetaMath-Mistral-7B + DPOBase Model=MetaMath-Mistral-7B, Optimization Strategy=DPO2025.0215.8
MetaMath-Mistral-7B + Step-DPOBase Model=MetaMath-Mistral-7B, Optimization Strategy=Step-DPO2025.0215.1
Llama-3-8B-SFT + DPOBase Model=Llama-3-8B, Optimization Strategy=DPO2025.0211.7
Qwen2-7B-SFT + DPOBase Model=Qwen2-7B, Optimization Strategy=DPO2025.028.8