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Improving LLMs via Validator-to-Generator Alignment

This paper introduces FCPA, a training objective that aligns validator and generator via frequency-corrected consistency, achieving up to +27pp Pearson correlation gain on IFEval and HumanEval.

SourcearXiv Computational LinguisticsAuthor: Juan Diego Rodriguez, Jocelyn Zhang, Katrin Erk, Greg Durrett

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[Submitted on 2 Jul 2026]

Title:Improving LLMs via Validator-to-Generator Alignment

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Abstract:Large language models are inconsistent: varying prompts or including unrelated information can lead to unexpected changes in model outputs. The generator-validator (G-V) gap is one manifestation of this phenomenon, where LLMs generate responses that they then deem as invalid if re-queried to validate them. In this work, we introduce a new formulation of G-V consistency that involves a principled correction for utterance frequency. Specifically, generators often assign low likelihood to valid strings simply because those strings are a priori unlikely, which makes naive notions of G-V consistency unworkable. We show that under a natural model of rational agents answering questions with multiple answers, consistency of the validator with a frequency-corrected generator score emerges naturally. Our method, \emph{\FCPAname} (\FCPA), is a training objective implementing frequency-corrected G-V consistency for real-world LLMs. Our experimental results show that training with \FCPA{} substantially improves both G-V consistency and generator performance over prior methods, with gains of up to $+27$pp in Pearson correlation on IFEval and HumanEval, while preserving validator quality across all evaluated tasks.

Subjects:

Computation and Language (cs.CL)

Cite as: arXiv:2607.02668 [cs.CL]

(or arXiv:2607.02668v1 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2607.02668

arXiv-issued DOI via DataCite

Submission history

From: Juan Diego Rodriguez [view email] [v1] Thu, 2 Jul 2026 18:00:39 UTC (3,550 KB)

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