Semantic-aware Wasserstein Policy Regularization for Large Language Model Alignment

Fuente: arXiv
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Hauptverfasser: Na, Byeonghu, Na, Hyungho, Kim, Yeongmin, Jo, Suhyeon, Bae, HeeSun, Kang, Mina, Moon, Il-Chul
Format: Preprint
Veröffentlicht: 2026
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author Na, Byeonghu
Na, Hyungho
Kim, Yeongmin
Jo, Suhyeon
Bae, HeeSun
Kang, Mina
Moon, Il-Chul
author_facet Na, Byeonghu
Na, Hyungho
Kim, Yeongmin
Jo, Suhyeon
Bae, HeeSun
Kang, Mina
Moon, Il-Chul
contents Large language models (LLMs) are commonly aligned with human preferences using reinforcement learning from human feedback (RLHF). In this method, LLM policies are generally optimized through reward maximization with Kullback-Leibler (KL) divergence regularization of the reference policy. However, KL and its $f$-divergence variants only compare token probabilities at identical indices, failing to capture semantic similarity. We propose Wasserstein Policy Regularization (WPR), a semantic-aware regularization for the RLHF framework based on the entropy-regularized Wasserstein distance, which incorporates the geometry of the token space. The dual formulation of the distance expresses the regularization as penalty terms applied to the reward via optimal dual variables, which yield a tractable objective compatible with standard RL algorithms. Empirically, our method outperforms KL- and $f$-divergence-based baselines, demonstrating the benefits of semantic-aware policy distances for alignment. Our code is available at https://github.com/aailab-kaist/WPR.
format Preprint
id arxiv_https___arxiv_org_abs_2602_01685
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Semantic-aware Wasserstein Policy Regularization for Large Language Model Alignment
Na, Byeonghu
Na, Hyungho
Kim, Yeongmin
Jo, Suhyeon
Bae, HeeSun
Kang, Mina
Moon, Il-Chul
Machine Learning
Artificial Intelligence
Large language models (LLMs) are commonly aligned with human preferences using reinforcement learning from human feedback (RLHF). In this method, LLM policies are generally optimized through reward maximization with Kullback-Leibler (KL) divergence regularization of the reference policy. However, KL and its $f$-divergence variants only compare token probabilities at identical indices, failing to capture semantic similarity. We propose Wasserstein Policy Regularization (WPR), a semantic-aware regularization for the RLHF framework based on the entropy-regularized Wasserstein distance, which incorporates the geometry of the token space. The dual formulation of the distance expresses the regularization as penalty terms applied to the reward via optimal dual variables, which yield a tractable objective compatible with standard RL algorithms. Empirically, our method outperforms KL- and $f$-divergence-based baselines, demonstrating the benefits of semantic-aware policy distances for alignment. Our code is available at https://github.com/aailab-kaist/WPR.
title Semantic-aware Wasserstein Policy Regularization for Large Language Model Alignment
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2602.01685