Demystifying OPD: Length Inflation and Stabilization Strategies for Large Language Models

Fuente: arXiv
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Main Authors: Luo, Feng, Chuang, Yu-Neng, Wang, Guanchu, Xu, Zicheng, Han, Xiaotian, Zhang, Tianyi, Braverman, Vladimir
Format: Preprint
Published: 2026
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_version_ 1866911578814676992
author Luo, Feng
Chuang, Yu-Neng
Wang, Guanchu
Xu, Zicheng
Han, Xiaotian
Zhang, Tianyi
Braverman, Vladimir
author_facet Luo, Feng
Chuang, Yu-Neng
Wang, Guanchu
Xu, Zicheng
Han, Xiaotian
Zhang, Tianyi
Braverman, Vladimir
contents On-policy distillation (OPD) trains student models under their own induced distribution while leveraging supervision from stronger teachers. We identify a failure mode of OPD: as training progresses, on-policy rollouts can undergo abrupt length inflation, causing truncated trajectories to dominate the training data. This truncation collapse coincides with abrupt repetition saturation and induces biased gradient signals, leading to severe training instability and sharp degradation in validation performance. We attribute this problem to the interaction between student-induced data collection and the distillation objective, which implicitly favors long and repetitive rollouts. To address this issue, we propose StableOPD, a stabilized OPD framework that combines a reference-based divergence constraint with rollout mixture distillation. These together mitigate repetition-induced length inflation and further stabilize OPD training. Across multiple math reasoning datasets, our approach prevents truncation collapse, stabilizes training dynamics, and improves performance by 7.2% on average.
format Preprint
id arxiv_https___arxiv_org_abs_2604_08527
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Demystifying OPD: Length Inflation and Stabilization Strategies for Large Language Models
Luo, Feng
Chuang, Yu-Neng
Wang, Guanchu
Xu, Zicheng
Han, Xiaotian
Zhang, Tianyi
Braverman, Vladimir
Computation and Language
Machine Learning
On-policy distillation (OPD) trains student models under their own induced distribution while leveraging supervision from stronger teachers. We identify a failure mode of OPD: as training progresses, on-policy rollouts can undergo abrupt length inflation, causing truncated trajectories to dominate the training data. This truncation collapse coincides with abrupt repetition saturation and induces biased gradient signals, leading to severe training instability and sharp degradation in validation performance. We attribute this problem to the interaction between student-induced data collection and the distillation objective, which implicitly favors long and repetitive rollouts. To address this issue, we propose StableOPD, a stabilized OPD framework that combines a reference-based divergence constraint with rollout mixture distillation. These together mitigate repetition-induced length inflation and further stabilize OPD training. Across multiple math reasoning datasets, our approach prevents truncation collapse, stabilizes training dynamics, and improves performance by 7.2% on average.
title Demystifying OPD: Length Inflation and Stabilization Strategies for Large Language Models
topic Computation and Language
Machine Learning
url https://arxiv.org/abs/2604.08527