Saved in:
Bibliographic Details
Main Authors: Liu, Boyin, Zhang, Zhuo, Huang, Sen, Xie, Lipeng, Fu, Qingxu, Chen, Haoran, YU, LI, Hu, Tianyi, Liu, Zhaoyang, Ding, Bolin, Zhao, Dongbin
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.15514
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866911712005849088
author Liu, Boyin
Zhang, Zhuo
Huang, Sen
Xie, Lipeng
Fu, Qingxu
Chen, Haoran
YU, LI
Hu, Tianyi
Liu, Zhaoyang
Ding, Bolin
Zhao, Dongbin
author_facet Liu, Boyin
Zhang, Zhuo
Huang, Sen
Xie, Lipeng
Fu, Qingxu
Chen, Haoran
YU, LI
Hu, Tianyi
Liu, Zhaoyang
Ding, Bolin
Zhao, Dongbin
contents Reinforcement Learning from AI Feedback (RLAIF) relies on LLM judges as preference measurement instruments, yet these instruments are fundamentally limited by random measurement errors -- stochastic fluctuations that manifest as preference cycles (e.g., $A \succ B \succ C \succ A$), occurring in 5-9% of evaluations across state-of-the-art models. While repeated sampling mitigates noise by averaging multiple judgments, it treats each comparison in isolation and fails to exploit the structural constraints that distinguish systematic signals from random noise. We introduce Topological Consensus Rewards (TCR), a framework that leverages transitivity as a denoising mechanism via topological majority voting: systematic signals reinforce each other through transitive chains, while random errors cluster into topologically exposed cycles. TCR approximates the Maximum Acyclic Subgraph to filter stochastic noise from preference signals. We also propose Cycle Incidence Rate (CIR) as a diagnostic metric that measures the proportion of samples containing preference cycles. Under our noise model, these cycles arise primarily from stochastic measurement errors rather than genuine intransitivity. Experiments on Arena-Hard, MT-Bench, and WritingBench demonstrate that TCR consistently outperforms pairwise baselines and classical ranking algorithms, while exhibiting robust performance across different judge models.
format Preprint
id arxiv_https___arxiv_org_abs_2510_15514
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Voting with the Graph: Stable RLAIF via Topological Consistency Maximization
Liu, Boyin
Zhang, Zhuo
Huang, Sen
Xie, Lipeng
Fu, Qingxu
Chen, Haoran
YU, LI
Hu, Tianyi
Liu, Zhaoyang
Ding, Bolin
Zhao, Dongbin
Artificial Intelligence
Reinforcement Learning from AI Feedback (RLAIF) relies on LLM judges as preference measurement instruments, yet these instruments are fundamentally limited by random measurement errors -- stochastic fluctuations that manifest as preference cycles (e.g., $A \succ B \succ C \succ A$), occurring in 5-9% of evaluations across state-of-the-art models. While repeated sampling mitigates noise by averaging multiple judgments, it treats each comparison in isolation and fails to exploit the structural constraints that distinguish systematic signals from random noise. We introduce Topological Consensus Rewards (TCR), a framework that leverages transitivity as a denoising mechanism via topological majority voting: systematic signals reinforce each other through transitive chains, while random errors cluster into topologically exposed cycles. TCR approximates the Maximum Acyclic Subgraph to filter stochastic noise from preference signals. We also propose Cycle Incidence Rate (CIR) as a diagnostic metric that measures the proportion of samples containing preference cycles. Under our noise model, these cycles arise primarily from stochastic measurement errors rather than genuine intransitivity. Experiments on Arena-Hard, MT-Bench, and WritingBench demonstrate that TCR consistently outperforms pairwise baselines and classical ranking algorithms, while exhibiting robust performance across different judge models.
title Voting with the Graph: Stable RLAIF via Topological Consistency Maximization
topic Artificial Intelligence
url https://arxiv.org/abs/2510.15514