Robust Preference Optimization with Provable Noise Tolerance for LLMs

The preference alignment aims to enable large language models (LLMs) to generate responses that conform to human values, which is essential for developing general AI systems. Ranking-based methods -- a promising class of alignment approaches -- learn human preferences from datasets containing response pairs by optimizing the log-likelihood margins between preferred and dis-preferred responses. However, due to the inherent differences in annotators' preferences, ranking labels of comparisons for response pairs are unavoidably noisy. This seriously hurts the reliability of existing ranking-based methods. To address this problem, we propose a provably noise-tolerant preference alignment method, namely RObust Preference Optimization (ROPO). To the best of our knowledge, ROPO is the first preference alignment method with noise-tolerance guarantees. The key idea of ROPO is to dynamically assign conservative gradient weights to response pairs with high label uncertainty, based on the log-likelihood margins between the responses. By effectively suppressing the gradients of noisy samples, our weighting strategy ensures that the expected risk has the same gradient direction independent of the presence and proportion of noise. Experiments on three open-ended text generation tasks with four base models ranging in size from 2.8B to 13B demonstrate that ROPO significantly outperforms existing ranking-based methods.