JURY-RL: Votes Propose, Proofs Dispose for Label-Free RLVR

Fuente: arXiv
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Main Authors: Chen, Xinjie, Fu, Biao, Wu, Jing, Chen, Guoxin, Liu, Xinggao, Liu, Dayiheng, Liao, Minpeng
Format: Preprint
Published: 2026
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author Chen, Xinjie
Fu, Biao
Wu, Jing
Chen, Guoxin
Liu, Xinggao
Liu, Dayiheng
Liao, Minpeng
author_facet Chen, Xinjie
Fu, Biao
Wu, Jing
Chen, Guoxin
Liu, Xinggao
Liu, Dayiheng
Liao, Minpeng
contents Reinforcement learning with verifiable rewards (RLVR) enhances the reasoning of large language models (LLMs), but standard RLVR often depends on human-annotated answers or carefully curated reward specifications. In machine-checkable domains, label-free alternatives such as majority voting or LLM-as-a-judge remove annotation cost but can introduce false positives that destabilize training. We introduce JURY-RL, a label-free RLVR framework that decouples answer proposal from reward disposal: votes from model rollouts propose a candidate answer, and a formal verifier determines whether that candidate can receive positive reward. Concretely, only rollouts matching the plurality-voted answer are rewarded when that answer is successfully verified in Lean. When verification is inconclusive, we invoke ResZero (Residual-Zero), a fallback reward that discards the unverified plurality proposal and redistributes a zero-mean, variance-preserving signal over the residual answers. This design maintains a stable optimization gradient without reinforcing unverifiable consensus. Across three backbone models trained on mathematical data, JURY-RL consistently outperforms other label-free baselines on mathematical reasoning benchmarks and transfers competitively to code generation and general benchmarks. It attains pass@1 performance comparable to supervised ground-truth training, with superior generalization demonstrated by higher pass@k and response diversity.
format Preprint
id arxiv_https___arxiv_org_abs_2604_25419
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle JURY-RL: Votes Propose, Proofs Dispose for Label-Free RLVR
Chen, Xinjie
Fu, Biao
Wu, Jing
Chen, Guoxin
Liu, Xinggao
Liu, Dayiheng
Liao, Minpeng
Artificial Intelligence
I.2.7; I.2.6
Reinforcement learning with verifiable rewards (RLVR) enhances the reasoning of large language models (LLMs), but standard RLVR often depends on human-annotated answers or carefully curated reward specifications. In machine-checkable domains, label-free alternatives such as majority voting or LLM-as-a-judge remove annotation cost but can introduce false positives that destabilize training. We introduce JURY-RL, a label-free RLVR framework that decouples answer proposal from reward disposal: votes from model rollouts propose a candidate answer, and a formal verifier determines whether that candidate can receive positive reward. Concretely, only rollouts matching the plurality-voted answer are rewarded when that answer is successfully verified in Lean. When verification is inconclusive, we invoke ResZero (Residual-Zero), a fallback reward that discards the unverified plurality proposal and redistributes a zero-mean, variance-preserving signal over the residual answers. This design maintains a stable optimization gradient without reinforcing unverifiable consensus. Across three backbone models trained on mathematical data, JURY-RL consistently outperforms other label-free baselines on mathematical reasoning benchmarks and transfers competitively to code generation and general benchmarks. It attains pass@1 performance comparable to supervised ground-truth training, with superior generalization demonstrated by higher pass@k and response diversity.
title JURY-RL: Votes Propose, Proofs Dispose for Label-Free RLVR
topic Artificial Intelligence
I.2.7; I.2.6
url https://arxiv.org/abs/2604.25419