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arXiv 2602.04909cs.LG
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在关键领域学习:用于鲁棒偏好对齐的几何锚定

Learning Where It Matters: Geometric Anchoring for Robust Preference Alignment

PYLER;KAIST(韩国科学技术院)

Youngjae Cho, Jongsuk Kim, Ji-Hoon Kim

AI总结:

GAPO通过动态几何锚定机制改进偏好对齐,通过局部敏感度自适应调整偏好对重要性,减少噪声影响,提升模型鲁棒性。

摘要:

直接偏好优化(DPO)及相关方法通过正则化更新来对齐大语言模型的成对偏好。然而,随着策略漂移,固定参考政策会导致分布不匹配和虚假偏好信号放大。本文提出几何锚定偏好优化(GAPO),用动态几何感知锚定替代固定参考:在小半径内对当前策略进行对抗性局部扰动,作为悲观基线。该锚定启用自适应重加权机制,根据局部敏感度调节每个偏好对的重要性。进一步引入锚定间隙,即策略与锚定之间的奖励差异,并在光滑性条件下证明其近似于最坏情况的局部边际退化。通过优化由该间隙加权的逻辑目标函数,GAPO下weight几何上脆弱的实例,强调鲁棒偏好信号。在多样化的噪声设置下,GAPO一致提升鲁棒性,同时在标准LLM对齐和推理基准上匹配或改进性能。

英文摘要:

Direct Preference Optimization (DPO) and related methods align large language models from pairwise preferences by regularizing updates against a fixed reference policy. As the policy drifts, a static reference, however, can become increasingly miscalibrated, leading to distributional mismatch and amplifying spurious preference signals under noisy supervision. Conversely, reference-free variants avoid mismatch but often suffer from unconstrained reward drift. We propose Geometric Anchor Preference Optimization (GAPO), which replaces the fixed reference with a dynamic, geometry-aware anchor: an adversarial local perturbation of the current policy within a small radius that serves as a pessimistic baseline. This anchor enables an adaptive reweighting mechanism, modulating the importance of each preference pair based on its local sensitivity. We further introduce the Anchor Gap, the reward discrepancy between the policy and its anchor, and show under smoothness conditions that it approximates worst-case local margin degradation. Optimizing a logistic objective weighted by this gap downweights geometrically brittle instances while emphasizing robust preference signals. Across diverse noise settings, GAPO consistently improves robustness while matching or improving performance on standard LLM alignment and reasoning benchmarks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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