The Sign Estimator: LLM Alignment in the Face of Choice Heterogeneity

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Autori principali: Aouad, Ali, Gadarri, Aymane El, Farias, Vivek F.
Natura: Preprint
Pubblicazione: 2025
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author Aouad, Ali
Gadarri, Aymane El
Farias, Vivek F.
author_facet Aouad, Ali
Gadarri, Aymane El
Farias, Vivek F.
contents Traditional LLM alignment methods are vulnerable to heterogeneity in human preferences. Fitting a naïve probabilistic model to pairwise comparison data (say over prompt-completion pairs) yields an inconsistent estimate of the population-average utility -a canonical measure of social welfare. We propose a new method, dubbed the sign estimator, that provides a simple, provably consistent, and efficient estimator by replacing cross-entropy with binary classification loss in the aggregation step. This simple modification recovers consistent ordinal alignment under mild assumptions and achieves the first polynomial finite-sample error bounds in this setting. In realistic simulations of LLM alignment using digital twins, the sign estimator substantially reduces preference distortion over a panel of simulated personas, cutting (angular) estimation error by nearly 35% and decreasing disagreement with true population preferences from 12% to 8% compared to standard RLHF. Our method also compares favorably to panel data heuristics that explicitly model user heterogeneity and require tracking individual-level preference data-all while maintaining the implementation simplicity of existing LLM alignment pipelines.
format Preprint
id arxiv_https___arxiv_org_abs_2510_23965
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Sign Estimator: LLM Alignment in the Face of Choice Heterogeneity
Aouad, Ali
Gadarri, Aymane El
Farias, Vivek F.
Artificial Intelligence
Machine Learning
Traditional LLM alignment methods are vulnerable to heterogeneity in human preferences. Fitting a naïve probabilistic model to pairwise comparison data (say over prompt-completion pairs) yields an inconsistent estimate of the population-average utility -a canonical measure of social welfare. We propose a new method, dubbed the sign estimator, that provides a simple, provably consistent, and efficient estimator by replacing cross-entropy with binary classification loss in the aggregation step. This simple modification recovers consistent ordinal alignment under mild assumptions and achieves the first polynomial finite-sample error bounds in this setting. In realistic simulations of LLM alignment using digital twins, the sign estimator substantially reduces preference distortion over a panel of simulated personas, cutting (angular) estimation error by nearly 35% and decreasing disagreement with true population preferences from 12% to 8% compared to standard RLHF. Our method also compares favorably to panel data heuristics that explicitly model user heterogeneity and require tracking individual-level preference data-all while maintaining the implementation simplicity of existing LLM alignment pipelines.
title The Sign Estimator: LLM Alignment in the Face of Choice Heterogeneity
topic Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2510.23965