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arxiv:2505.14464

Not All Correct Answers Are Equal: Why Your Distillation Source Matters

Published on May 20
· Submitted by Emperorizzis on May 21
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Abstract

Distilling reasoning data from advanced language models improves student model performance across various benchmarks.

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Distillation has emerged as a practical and effective approach to enhance the reasoning capabilities of open-source language models. In this work, we conduct a large-scale empirical study on reasoning data distillation by collecting verified outputs from three state-of-the-art teacher models-AM-Thinking-v1, Qwen3-235B-A22B, and DeepSeek-R1-on a shared corpus of 1.89 million queries. We construct three parallel datasets and analyze their distributions, revealing that AM-Thinking-v1-distilled data exhibits greater token length diversity and lower perplexity. Student models trained on each dataset are evaluated on reasoning benchmarks including AIME2024, AIME2025, MATH500, and LiveCodeBench. The AM-based model consistently achieves the best performance (e.g., 84.3 on AIME2024, 72.2 on AIME2025, 98.4 on MATH500, and 65.9 on LiveCodeBench) and demonstrates adaptive output behavior-producing longer responses for harder tasks and shorter ones for simpler tasks. These findings highlight the value of high-quality, verified reasoning traces. We release the AM-Thinking-v1 and Qwen3-235B-A22B distilled datasets to support future research on open and high-performing reasoning-oriented language models. The datasets are publicly available on Hugging FaceDatasets are available on Hugging Face: \href{https://huggingface.co/datasets/a-m-team/AM-Thinking-v1-Distilled{AM-Thinking-v1-Distilled}, https://huggingface.co/datasets/a-m-team/AM-Qwen3-Distilled{AM-Qwen3-Distilled}.}.

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We conduct a large-scale empirical study on reasoning data distillation by collecting verified outputs from three state-of-the-art language models—AM-Thinking-v1, Qwen3-235B-A22B, and DeepSeek-R1—over a shared corpus of 1.89 million queries, resulting in three parallel distilled datasets. Among them, the AM-Thinking-v1 distilled data exhibits greater token length diversity and lower perplexity. Student models trained on each dataset are evaluated on multiple reasoning benchmarks, including AIME2024 (84.3), AIME2025 (72.2), MATH500 (98.4), and LiveCodeBench (65.9), where the AM-based student consistently achieves the best performance. Notably, it also demonstrates adaptive response generation, producing longer outputs for harder problems and shorter ones for simpler tasks. These results highlight the importance of high-quality, verified reasoning traces for enhancing model performance. To support future research, we release the AM-Thinking-v1 and Qwen3-235B-A22B distilled datasets.

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