  Improving the alignment of language models with human preferences remains an
active research challenge. Previous approaches have primarily utilized
Reinforcement Learning from Human Feedback (RLHF) via online RL methods such as
Proximal Policy Optimization (PPO). Recently, offline methods such as Sequence
Likelihood Calibration (SLiC) and Direct Preference Optimization (DPO) have
emerged as attractive alternatives, offering improvements in stability and
scalability while maintaining competitive performance. SLiC refines its loss
function using sequence pairs sampled from a supervised fine-tuned (SFT)
policy, while DPO directly optimizes language models based on preference data,
foregoing the need for a separate reward model. However, the maximum likelihood
estimator (MLE) of the target optimal policy requires labeled preference pairs
sampled from that policy. DPO's lack of a reward model constrains its ability
to sample preference pairs from the optimal policy, and SLiC is restricted to
sampling preference pairs only from the SFT policy. To address these
limitations, we introduce a novel approach called Statistical Rejection
Sampling Optimization (RSO) that aims to source preference data from the target
optimal policy using rejection sampling, enabling a more accurate estimation of
the optimal policy. We also propose a unified framework that enhances the loss
functions used in both SLiC and DPO from a preference modeling standpoint.
Through extensive experiments across three diverse tasks, we demonstrate that
RSO consistently outperforms both SLiC and DPO on evaluations from both Large
Language Model (LLM) and human raters.
