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Main Authors: Dwyer, Madeleine, Sobey, Adam, Chapman, Adriane
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.21282
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author Dwyer, Madeleine
Sobey, Adam
Chapman, Adriane
author_facet Dwyer, Madeleine
Sobey, Adam
Chapman, Adriane
contents Training large language models (LLMs) with reinforcement learning (RL) methods such as PPO and GRPO commonly relies on ratio clipping to stabilise updates. While effective at preventing instability, clipping discards information, introduces gradient discontinuities and can prevent exploration of better policies. Inspired by label smoothing, we propose Probability Smoothing Policy Optimisation (PSPO). PSPO smooths current policy probabilities toward the behaviour policy before computing importance ratios, creating a soft trust region that preserves gradients while preventing destabilising updates. Unlike prior soft clipping approaches that use sigmoid-based transformations which can suffer from vanishing gradients and saturation, our method uses a linear interpolation, providing simpler and more robust gradient preservation. Empirically, GR-PSPO outperforms clipping and sigmoid-based alternatives on mathematical reasoning benchmarks when refining models with prior domain knowledge, achieving an accuracy of 79.9% on GSM8K and 59.6% on MATH for Qwen2-Math-1.5B.
format Preprint
id arxiv_https___arxiv_org_abs_2509_21282
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle It's Not You, It's Clipping: A Soft Trust-Region via Probability Smoothing for LLM RL
Dwyer, Madeleine
Sobey, Adam
Chapman, Adriane
Machine Learning
Artificial Intelligence
Training large language models (LLMs) with reinforcement learning (RL) methods such as PPO and GRPO commonly relies on ratio clipping to stabilise updates. While effective at preventing instability, clipping discards information, introduces gradient discontinuities and can prevent exploration of better policies. Inspired by label smoothing, we propose Probability Smoothing Policy Optimisation (PSPO). PSPO smooths current policy probabilities toward the behaviour policy before computing importance ratios, creating a soft trust region that preserves gradients while preventing destabilising updates. Unlike prior soft clipping approaches that use sigmoid-based transformations which can suffer from vanishing gradients and saturation, our method uses a linear interpolation, providing simpler and more robust gradient preservation. Empirically, GR-PSPO outperforms clipping and sigmoid-based alternatives on mathematical reasoning benchmarks when refining models with prior domain knowledge, achieving an accuracy of 79.9% on GSM8K and 59.6% on MATH for Qwen2-Math-1.5B.
title It's Not You, It's Clipping: A Soft Trust-Region via Probability Smoothing for LLM RL
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2509.21282