RLFR: Extending Reinforcement Learning for LLMs with Flow Environment

Fuente: arXiv
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Autori principali: Zhang, Jinghao, Zheng, Naishan, Li, Ruilin, Cheng, Dongzhou, Liang, Zheming, Zhao, Feng, Wang, Jiaqi
Natura: Preprint
Pubblicazione: 2025
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author Zhang, Jinghao
Zheng, Naishan
Li, Ruilin
Cheng, Dongzhou
Liang, Zheming
Zhao, Feng
Wang, Jiaqi
author_facet Zhang, Jinghao
Zheng, Naishan
Li, Ruilin
Cheng, Dongzhou
Liang, Zheming
Zhao, Feng
Wang, Jiaqi
contents Reinforcement Learning with Verifiable Rewards (RLVR) has recently emerged as a promising framework for improving reasoning abilities in Large Language Models (LLMs). However, policy optimized with binary verification prone to overlook potential valuable exploration in reasoning trajectory. In view of heavy annotation cost of golden Process Reward Models (PRMs), recent works attempt using auxiliary signals for reward shaping of process tokens, involving entropy and likelihood collected from logit space. In this work, we offer a novel perspective on shaping RLVR with flow rewards derived from latent space, and propose RLFR, where the flow fields of model latents are constructed from either off-policy high-quality data and on-policy rejection sampling data, and the velocity deviations of policy latents within it are quantified to serve as a reward signal. RLFR first demonstrates that a well-established flow field can be a sound environment for reward signal collection, highlighting the expressive latent space is much underexplored. Moreover, RLFR is able to compress any off-policy expert data as reference for constituting reward signals, and we show that the efficient context dependence compressed within the hidden states are utilized, rather than individual token-level denotation for context comprehending. Experiments on both language and multimodal reasoning benchmarks demonstrate the reliability of flow rewards, and suggesting a promising paradigm for reward shaping with auxiliary signals.
format Preprint
id arxiv_https___arxiv_org_abs_2510_10201
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle RLFR: Extending Reinforcement Learning for LLMs with Flow Environment
Zhang, Jinghao
Zheng, Naishan
Li, Ruilin
Cheng, Dongzhou
Liang, Zheming
Zhao, Feng
Wang, Jiaqi
Machine Learning
Artificial Intelligence
Computation and Language
Reinforcement Learning with Verifiable Rewards (RLVR) has recently emerged as a promising framework for improving reasoning abilities in Large Language Models (LLMs). However, policy optimized with binary verification prone to overlook potential valuable exploration in reasoning trajectory. In view of heavy annotation cost of golden Process Reward Models (PRMs), recent works attempt using auxiliary signals for reward shaping of process tokens, involving entropy and likelihood collected from logit space. In this work, we offer a novel perspective on shaping RLVR with flow rewards derived from latent space, and propose RLFR, where the flow fields of model latents are constructed from either off-policy high-quality data and on-policy rejection sampling data, and the velocity deviations of policy latents within it are quantified to serve as a reward signal. RLFR first demonstrates that a well-established flow field can be a sound environment for reward signal collection, highlighting the expressive latent space is much underexplored. Moreover, RLFR is able to compress any off-policy expert data as reference for constituting reward signals, and we show that the efficient context dependence compressed within the hidden states are utilized, rather than individual token-level denotation for context comprehending. Experiments on both language and multimodal reasoning benchmarks demonstrate the reliability of flow rewards, and suggesting a promising paradigm for reward shaping with auxiliary signals.
title RLFR: Extending Reinforcement Learning for LLMs with Flow Environment
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2510.10201