fTlk+9SINaoqg7Sm1wFL8w==;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
- Why this page exists
-
Bellman equations — full derivation
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Dynamic programming — when you know the model
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Temporal-difference learning — learning from experience
- SARSA — on-policy TD control
- Q-learning — off-policy TD control
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Deep Q-Networks (DQN) — scaling to high dimensions
- The Rainbow — combining DQN improvements
- When to use value methods vs policy methods
- Connections