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About this paper

Yashuo Luo, Qianren Mao, Ziqi Qin, Junnan Liu, Haitao Li, Qili Zhang, Yuan Gao, Zhijun Chen and 1 more

CARD reuses existing teacher trajectories, rewriting rationales with detected failed steps while preserving answers and leaving other examples unchanged. On Qwen2.5-7B, it scores 54.22 Math Avg and 71.07 General Avg, versus 51.80 and 56.34 for Vanilla SFT. These macro-averages support gains in this mathematical-distillation setup, evaluated only with students up to 7B parameters.

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