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A Tutorial on Reinforcement Learning I

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Concise tutorial on reinforcement learning that defines MDPs, contrasts model‑based vs model‑free (tabular Bellman backups and Q‑learning), and treats exploration with concrete algorithms: epsilon‑greedy, optimism via UCB, and Bayesian Thompson sampling with posterior updates. Theory gives PAC‑MDP bounds and a startling sample example—tiny 10‑state problems needing ~10^12 samples in early bounds, later tightened toward ~10^6—and explains why episodic structure and refined “knownness” reduce those rates.

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  1. 0:00Introduction to RL
  2. 1:14RL Applications
  3. 3:02RL vs Machine Learning
  4. 5:48Markov Decision Processes
  5. 10:45Model-based Reinforcement
  6. 12:16Q-learning
  7. 18:51Exploration vs Exploitation
  8. 22:14Epsilon-greedy Strategy
  9. 24:00Optimism under Uncertainty
  10. 27:38Bayesian Methods
  11. 31:43Optimal Exploration
  12. 38:34Evaluating RL Algorithms
  13. 43:03Asymptotic Optimality
  14. 45:20PAC Reinforcement Learning
  15. 54:22Tighter PAC Bounds
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