J4LOLS0Aeb3er3ZDoT13tw==;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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