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Main Authors: Lee, Chia-Hsuan, Zhou, Mingyang, Ni, Renkun, Cheng, Zelei, Dai, Sihui, Chakraborty, Supriyo, Zhang, Shixiong, Sahu, Sambit, Campbell, William
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.08723
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author Lee, Chia-Hsuan
Zhou, Mingyang
Ni, Renkun
Cheng, Zelei
Dai, Sihui
Chakraborty, Supriyo
Zhang, Shixiong
Sahu, Sambit
Campbell, William
author_facet Lee, Chia-Hsuan
Zhou, Mingyang
Ni, Renkun
Cheng, Zelei
Dai, Sihui
Chakraborty, Supriyo
Zhang, Shixiong
Sahu, Sambit
Campbell, William
contents Preference optimization methods such as DPO and KTO are widely used for aligning language models, yet little is understood about what properties of preference data drive downstream reasoning gains. We ask: what aspects of a preference pair improve a reasoning model's performance on general reasoning tasks? We investigate two distinct notions of quality delta in preference data: generator-level delta, arising from the differences in capability between models that generate chosen and rejected reasoning traces, and sample-level delta, arising from differences in judged quality differences within an individual preference pair. To study generator-level delta, we vary the generator's scale and model family, and to study sample-level delta, we employ an LLM-as-a-judge to rate the quality of generated traces along multiple reasoning-quality dimensions. We find that increasing generator-level delta steadily improves performance on out-of-domain reasoning tasks and filtering data by sample-level delta can enable more data-efficient training. Our results suggest a twofold recipe for improving reasoning performance through preference optimization: maximize generator-level delta when constructing preference pairs and exploit sample-level delta to select the most informative training examples.
format Preprint
id arxiv_https___arxiv_org_abs_2604_08723
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Decomposing the Delta: What Do Models Actually Learn from Preference Pairs?
Lee, Chia-Hsuan
Zhou, Mingyang
Ni, Renkun
Cheng, Zelei
Dai, Sihui
Chakraborty, Supriyo
Zhang, Shixiong
Sahu, Sambit
Campbell, William
Computation and Language
Artificial Intelligence
Preference optimization methods such as DPO and KTO are widely used for aligning language models, yet little is understood about what properties of preference data drive downstream reasoning gains. We ask: what aspects of a preference pair improve a reasoning model's performance on general reasoning tasks? We investigate two distinct notions of quality delta in preference data: generator-level delta, arising from the differences in capability between models that generate chosen and rejected reasoning traces, and sample-level delta, arising from differences in judged quality differences within an individual preference pair. To study generator-level delta, we vary the generator's scale and model family, and to study sample-level delta, we employ an LLM-as-a-judge to rate the quality of generated traces along multiple reasoning-quality dimensions. We find that increasing generator-level delta steadily improves performance on out-of-domain reasoning tasks and filtering data by sample-level delta can enable more data-efficient training. Our results suggest a twofold recipe for improving reasoning performance through preference optimization: maximize generator-level delta when constructing preference pairs and exploit sample-level delta to select the most informative training examples.
title Decomposing the Delta: What Do Models Actually Learn from Preference Pairs?
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2604.08723