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Main Authors: Lin, Zizhuo, Liu, Quanling, Quan, Jinsheng, Zhang, Chao, Zhu, Yifan, Shi, Xing, Xu, Jingtao, Li, Zhihui, Luo, Yawei
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.30251
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author Lin, Zizhuo
Liu, Quanling
Quan, Jinsheng
Zhang, Chao
Zhu, Yifan
Shi, Xing
Xu, Jingtao
Li, Zhihui
Luo, Yawei
author_facet Lin, Zizhuo
Liu, Quanling
Quan, Jinsheng
Zhang, Chao
Zhu, Yifan
Shi, Xing
Xu, Jingtao
Li, Zhihui
Luo, Yawei
contents Large language models (LLMs) often solve a task when all instructions are given in a single prompt, but fail when the same information is revealed gradually across turns. When a clean FULL prompt and a RAW-SHARDED conversation contain the same complete user evidence, the model should still arrive at the same answer. We argue that a key reason for this gap is self-anchored drift: responses produced under partial information introduce unsupported assumptions, and those assumptions later distort the final answer. To reduce this effect, we propose Canonical-Context On-Policy Distillation (CCOPD). During training, the same base model is used in two roles: a frozen teacher conditioned on the clean FULL prompt and a trainable student that receives the same evidence incrementally through a multi-turn conversation; CCOPD aligns the student's behavior on its own trajectories with the teacher's canonical full-context behavior. Trained only on math problem conversations, CCOPD yields a 32\% average relative improvement in RAW-SHARDED performance over the original base model across math and five zero-shot out-of-domain task families, while largely preserving full-context performance. Further analyses suggest that CCOPD strengthens grounding in user evidence and reduces sensitivity to contamination from earlier assistant turns.
format Preprint
id arxiv_https___arxiv_org_abs_2605_30251
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Same Evidence, Different Answers: Canonical-Context On-Policy Distillation for Multi-Turn Language Models
Lin, Zizhuo
Liu, Quanling
Quan, Jinsheng
Zhang, Chao
Zhu, Yifan
Shi, Xing
Xu, Jingtao
Li, Zhihui
Luo, Yawei
Computation and Language
Artificial Intelligence
Large language models (LLMs) often solve a task when all instructions are given in a single prompt, but fail when the same information is revealed gradually across turns. When a clean FULL prompt and a RAW-SHARDED conversation contain the same complete user evidence, the model should still arrive at the same answer. We argue that a key reason for this gap is self-anchored drift: responses produced under partial information introduce unsupported assumptions, and those assumptions later distort the final answer. To reduce this effect, we propose Canonical-Context On-Policy Distillation (CCOPD). During training, the same base model is used in two roles: a frozen teacher conditioned on the clean FULL prompt and a trainable student that receives the same evidence incrementally through a multi-turn conversation; CCOPD aligns the student's behavior on its own trajectories with the teacher's canonical full-context behavior. Trained only on math problem conversations, CCOPD yields a 32\% average relative improvement in RAW-SHARDED performance over the original base model across math and five zero-shot out-of-domain task families, while largely preserving full-context performance. Further analyses suggest that CCOPD strengthens grounding in user evidence and reduces sensitivity to contamination from earlier assistant turns.
title Same Evidence, Different Answers: Canonical-Context On-Policy Distillation for Multi-Turn Language Models
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2605.30251