arXiv AI By Zhenxing Dou, Kun He, Mingyang Yi, Yong Liu

SRA: Selective Residual Adaptation for LLM Reasoning Enhancement

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Selective Residual Adaptation (SRA) is a plug‑in framework that improves multi‑step reasoning in distilled large language models by correcting sparse distribution divergences between teacher and student along reasoning paths. It uses a Discrepancy Gate to spot divergence points and a Candidate Residual Adapter to calibrate top‑K logits, thereby avoiding changes to the student backbone or runtime teacher computation. Experiments on Qwen3 models from 0.6B to 4B show that SRA raises average Pass@16 by up to 4.37 percentage points while maintaining general capabilities.

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