Online Reinforcement Learning and Regret
summary
Tutorial compares three interaction models (fully known, generative, and an online episodic model) and gives concrete algorithms and regret bounds: model-based optimistic planning with empirical transitions + bonus exploration achieves minimax √K regret (lower bound √K), with worse H and S,A dependence (practical time/storage HS^2A); model-free Q‑learning with a tailored learning rate gets √K regret but larger H dependence (H5/2 → H2 in follow-ups). Claims hinge on optimism, one‑step advantage decompositions, and Monte‑Carlo/importance sampling estimates; model-based wins empirically but costs compute.
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chapters (10)
- 0:00Introduction to RL models
- 1:25Fully known model
- 3:01Generative model setup
- 5:06Online learning model
- 11:07Finite horizon MDPs
- 16:10Regret and performance
- 23:18Comparing policies
- 28:41Policy-based approaches
- 47:45Value-based approaches
- 1:05:06Research frontiers and wrap-up
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