31F1UDRx4tN9yhpBi5+6RA==;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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