Ih03EcEx2H5GE/w7Yij/Rw==;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
- Why this page exists
- The policy gradient theorem — derivation
- REINFORCE — the simplest policy gradient
- Baselines — reducing variance without adding bias
-
Actor-critic — learning the baseline
- Generalized Advantage Estimation (GAE)
- The step-size problem — why vanilla policy gradients break
- TRPO — the trust region approach
-
PPO — making trust regions practical
- Entropy regularization — why exploration matters during optimization
- Off-policy policy gradients — importance sampling
- Natural gradient and the Fisher information
- Summary of the evolution
- Connections