KL-Regularised Q-Learning: A Token-level Action-Value perspective on Online RLHF
Jason R Brown, Lennie Wells, Edward James Young, Sergio Bacallado

TL;DR
This paper introduces KL-regularised Q-Learning (KLQ), a new RL method for language model fine-tuning with human feedback, showing comparable or better performance than PPO on key tasks and evaluations.
Contribution
The paper develops KLQ, a novel action-value RL algorithm for LM-RLHF, and demonstrates its equivalence to PPO while providing improved evaluation metrics.
Findings
KLQ performs on par with PPO in optimizing LM-RLHF objectives.
KLQ achieves higher win-rates against PPO in LLM-as-a-judge evaluations.
KLQ offers a theoretically motivated alternative to heuristic PPO in language model fine-tuning.
Abstract
Proximal Policy Optimisation (PPO) is an established and effective policy gradient algorithm used for Language Model Reinforcement Learning from Human Feedback (LM-RLHF). PPO performs well empirically but has a heuristic motivation and handles the KL-divergence constraint used in LM-RLHF in an ad-hoc manner. In this paper, we develop a a new action-value RL method for the LM-RLHF setting, KL-regularised Q-Learning (KLQ). We then show that our method is equivalent to a version of PPO in a certain specific sense, despite its very different motivation. Finally, we benchmark KLQ on two key language generation tasks -- summarisation and single-turn dialogue. We demonstrate that KLQ performs on-par with PPO at optimising the LM-RLHF objective, and achieves a consistently higher win-rate against PPO on LLM-as-a-judge evaluations.
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