6.7920 Fall 2026     

Reinforcement Learning: Foundations and Methods

 

Note: The schedule is subject to minor changes, and will be updated periodically with lecture slides and readings.
Note: All material will be posted in Canvas.
Date Tuesday Date Thursday Friday
PART 1: Dynamic Programming
09/10 L01. What is sequential decision making?
Introduction, finite-horizon problem formulation, Markov decision processes, course overview
Readings: N1 §3, N2 §1-3, N3 §1; DPOC 1.1-1.3, 2.1; SB Ch1 (skim)
[Lec]
HW0 assigned (due 9/15, not graded)
R01. Inventory control.
Readings: N3 §3; DPOC 3.2
09/15 L02. Dynamic programming - What makes sequential decision-making hard?
Finite horizon dynamic programming algorithm, sequential decision making as shortest path
Readings: DPOC 3.3-3.4
HW0 due (not graded), HW1 assigned
09/17 L03. Special structures - What makes some sequential decision-making problems easy?
DP arguments, inventory problem, optimal stopping
Readings: N3 §2; DPOC 3.1
R02. Combinatorial optimization as DP.
Readings: DPOC App-B
09/22 L04. Special Structures
Linear quadratic regulator
HW1 due, HW2 assigned
09/24 L05. Non-discounted Infinite Horizon Problem
LQR
Readings: DPOC 1.4, 4.1-4.2
No recitation (student holiday)
09/29 L06. Discounted infinite horizon problems
Bellman equations, value iteration
Readings: DPOC2 1.1-1.2, 1.5, 2.1-2.3
HW2 due, HW3 assigned
10/01 L07. Discounted infinite horizon problems (Part 2)
Policy iteration, geometric interpretation
Readings: DPOC2 1.1-1.2, 1.5, 2.1-2.3
R03. Linear quadratic regulator
PART 2: Reinforcement Learning
10/06 L08. Model-free methods - From DP to RL
Monte Carlo, policy evaluation, stochastic approximation of a mean, temporal differences
Readings: NDP 5.1-5.3, SB 12.1-12.2
HW3 due, HW4 assigned
10/08 L09. Value-based reinforcement learning - Policy learning without knowing how the world works
State-action value function, Q-learning
Readings: NDP 5.6, 4.1-4.3
R04. Convergence of stochastic value iteration
10/13 NO CLASS (Monday schedule)
10/15 L10. Value-based reinforcement learning - Policy learning without knowing how the world works (Part 2)
Stochastic approximation of a fixed point
Readings: NDP 4.1-4.3, 6.1-6.2; DPOC2 6.3
R05. Approximate value iteration
10/20 L11. Approximate value-based RL - How to approximately solve an RL problem
Function approximation, approximate policy evaluation
Readings: DPOC2 2.5.3; NDP 3.1-3.2, SB 16.5
HW4 due, HW5 assigned
10/22 L12. Approximate value-based RL - How to approximately solve an RL problem (Part 2)
Approximate VI, fitted Q iteration, DQN, DDQN and friends
Readings: DPOC2 2.5.3; NDP 3.1-3.2, SB 16.5
R06. Performance difference lemma
10/27 L13. Policy gradient - Simplicity at the cost of variance
Approximate policy iteration, policy gradient, variance reduction
Readings: NDP 6.1; SB Ch13.1-13.4
HW5 due, HW6 assigned
10/29 L14. Actor-critic Methods - Bringing together value-based and policy-based RL
Compatible function approximation, A2C, A3C, DDPG, SAC
Readings: SB Ch13.5-13.8
R07. Review, part 1
Project proposals due
11/03 L15. Advanced policy gradient methods - Managing exploration vs exploitation
Conservative policy iteration, NPG, TRPO, PPO
Readings: RLTA 11.1-11.2, Ch12
HW6 due, HW7 assigned
11/05 L16. Multi-arm bandits - The prototypical exploration-exploitation dilemma
Readings: Bandits Ch 1, Ch 8
R08. Review, part 2
PART 3: Special topics
11/10 L17. Evaluation in RL - Is the RL method working?
Sensitivity analysis of RL, benchmarking, statistical methods, overfitting to benchmarks, model-based transfer learning
Readings: Lecture Appendices A-C
HW7 due, HW8 assigned
11/12 L18. Quiz
R09. Concentration inequalities and statistical analysis
11/17 L19. Monte Carlo tree search
Online planning, MCTS, AlphaGo, AlphaGoZero, MuZero
Readings: SB 16.6
11/19 L20. Guest Lecture


HW8 due
11/24 L21. Guest Lecture

11/26 NO CLASS (Thanksgiving) No class (Thanksgiving)
12/01 L22. Guest Lecture

12/03 L23. Guest Lecture

12/08 L24. Guest Lecture / Final Project Presentations
12/10 L25. Guest Lecture / Final Project Presentations