On the Plasticity and Stability for Post-Training Large Language Models

Fuente: arXiv
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Auteurs principaux: Qiang, Wenwen, Gu, Ziyin, Zhou, Jiahuan, Hu, Jie, Wang, Jingyao, Zheng, Changwen, Xiong, Hui
Format: Preprint
Publié: 2026
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author Qiang, Wenwen
Gu, Ziyin
Zhou, Jiahuan
Hu, Jie
Wang, Jingyao
Zheng, Changwen
Xiong, Hui
author_facet Qiang, Wenwen
Gu, Ziyin
Zhou, Jiahuan
Hu, Jie
Wang, Jingyao
Zheng, Changwen
Xiong, Hui
contents Training stability remains a critical bottleneck for Group Relative Policy Optimization (GRPO), often manifesting as a trade-off between reasoning plasticity and general capability retention. We identify a root cause as the geometric conflict between plasticity and stability gradients, which leads to destructive interference. Crucially, we argue that deterministic projection methods are suboptimal for GRPO as they overlook the intrinsic stochasticity of group-based gradient estimates. To address this, we propose Probabilistic Conflict Resolution (PCR), a Bayesian framework that models gradients as random variables. PCR dynamically arbitrates conflicts via an uncertainty-aware ``soft projection'' mechanism, optimizing the signal-to-noise ratio. Extensive experiments demonstrate that PCR significantly smooths the training trajectory and achieves superior performance in various reasoning tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2602_06453
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the Plasticity and Stability for Post-Training Large Language Models
Qiang, Wenwen
Gu, Ziyin
Zhou, Jiahuan
Hu, Jie
Wang, Jingyao
Zheng, Changwen
Xiong, Hui
Machine Learning
Training stability remains a critical bottleneck for Group Relative Policy Optimization (GRPO), often manifesting as a trade-off between reasoning plasticity and general capability retention. We identify a root cause as the geometric conflict between plasticity and stability gradients, which leads to destructive interference. Crucially, we argue that deterministic projection methods are suboptimal for GRPO as they overlook the intrinsic stochasticity of group-based gradient estimates. To address this, we propose Probabilistic Conflict Resolution (PCR), a Bayesian framework that models gradients as random variables. PCR dynamically arbitrates conflicts via an uncertainty-aware ``soft projection'' mechanism, optimizing the signal-to-noise ratio. Extensive experiments demonstrate that PCR significantly smooths the training trajectory and achieves superior performance in various reasoning tasks.
title On the Plasticity and Stability for Post-Training Large Language Models
topic Machine Learning
url https://arxiv.org/abs/2602.06453