Direct Preference Optimization with Rating Information: Practical Algorithms and Provable Gains

2026-01-31

AI Summary

This work addresses a key limitation of existing Direct Preference Optimization (DPO) methods, which rely solely on pairwise preference signals and neglect the quantitative differences in response quality, leading to ambiguous training signals and suboptimal optimization efficiency. To overcome this, we propose a novel preference optimization algorithm that, for the first time, incorporates explicit score gaps into the DPO framework. Our approach preserves the advantage of not requiring an explicit reward model while leveraging fine-grained relative quality information to enhance alignment. By designing a loss function that accounts for score differences, the method enjoys faster theoretical statistical convergence and demonstrates robustness to scoring noise. Extensive experiments show consistent and significant improvements over current DPO variants across multiple large language models and evaluation benchmarks, with stable performance gains even when provided with inaccurate scores.

Technology Category

• Search and Optimization: Learning to Search
• Machine Learning: Learning Preferences or Rankings
• Knowledge Representation and Reasoning: Preferences

Application Category

• Search and Retrieval-Augmented AI: Web learning to rank, online learning, and counterfactual learning for ranking
• Economics, Online Markets and Human Computation: Data quality aspects of human-annotated datasets
• User Modeling, Personalization and Recommendation: Fairness-aware retrieval and ranking

Abstract

The class of direct preference optimization (DPO) algorithms has emerged as a promising approach for solving the alignment problem in foundation models. These algorithms work with very limited feedback in the form of pairwise preferences and fine-tune models to align with these preferences without explicitly learning a reward model. While the form of feedback used by these algorithms makes the data collection process easy and relatively more accurate, its ambiguity in terms of the quality of responses could have negative implications. For example, it is not clear if a decrease (increase) in the likelihood of preferred (dispreferred) responses during the execution of these algorithms could be interpreted as a positive or negative phenomenon. In this paper, we study how to design algorithms that can leverage additional information in the form of rating gap, which informs the learner how much the chosen response is better than the rejected one. We present new algorithms that can achieve faster statistical rates than DPO in presence of accurate rating gap information. Moreover, we theoretically prove and empirically show that the performance of our algorithms is robust to inaccuracy in rating gaps. Finally, we demonstrate the solid performance of our methods in comparison to a number of DPO-style algorithms across a wide range of LLMs and evaluation benchmarks.

Problem

• Direct Preference Optimization
• Preference Feedback
• Rating Information
• Alignment Problem
• Foundation Models

Innovation

• Direct Preference Optimization
• Rating Gap
• Statistical Convergence Rate
• Robust Alignment
• Preference Learning