Proximal Policy Optimization: Mathematical Foundations, Clipped Surrogate Objectives, and Policy Drift Control in RLHF
Reinforcement learning from human feedback (RLHF) transformed autoregressive large language models from raw next-token predictors into instruction-following assistants. At the computational center of the foundational RLHF pipelines introduced in InstructGPT (Ouyang et al., 2022) is Proximal Policy Optimization (PPO), formulated by John Schulman, Filip Wolski, Prafulla Dhariwal, Alec Radford, and Oleg Klimov at OpenAI in 2017. PPO resolved a fundamental instability in policy gradient methods: th

