pVu9Mr8lw8D5zoKs3Xbz0Q==;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
- Why this page exists
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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