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Paper · arXiv

KLip-PPO: A per-sample KL perspective on PPO-Clip

Proximal Policy Optimization (PPO) is the standard policy-gradient algorithm for on-policy reinforcement learning. The literature presents it in two forms, a clipped surrogate that bounds the importance ratio between successive policies and a Kullback-Leibler penalty between them. These forms are treated as separate algorithms with their own gradients, their own hyperparameters, and their own reference implementations, and a sizeable body of empirical work compares them. We show that the gradient of the clipped surrogate is reproduced exactly by a Kullback-Leibler surrogate whose coefficient varies per sample, with closed-form dependence on the importance ratio and the advantage. The iden...

AuthorsRiccardo Colletti, Robin Holzinger
Primary categorycs.LG
Published22 June 2026
Last updated at source22 June 2026
cs.LG
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