Reinforcement Learning & LLM Align-
ment Complete Semester Guide
High-Yield Comprehensive Guide, Bellman Equations, Value Iteration Traces,
DPO Hand-Calculations, PPO & Quick-Cram Appendix
Artificial Intelligence & Post-Training Engineering | Course Code: University Of California -
Berkeley - CS 285 | 2024-2025 Comprehensive Edition
, Artificial Intelligence & Post-Training Engineering · Uni-Reinforcement Learning & LLM Alignment Complete Semes-
versity Of California - Berkeley - CS 285 ter Guide
📘 WHAT’S INSIDE THIS GUIDE:
✔ Markov Decision Processes: Formal 5-tuple foundations, discounted returns, and Markov state-
transition matrices
✔ Bellman Optimality Suite: Contraction mapping proofs, Value Iteration vs. Policy Iteration
convergence
✔ WORKED STEP-BY-STEP PROBLEM: Step-by-step GridWorld Value Iteration state update
matrix calculation
✔ Policy Gradient Methods: The Policy Gradient Theorem proof, REINFORCE algorithm, and
Actor-Critic baseline variance reduction
✔ Proximal Policy Optimization (PPO): Clipped surrogate loss bounds [1-eps, 1+eps] and Gener-
alized Advantage Estimation (GAE)
✔ LLM Alignment & Post-Training: Classical 3-stage RLHF (SFT, Bradley-Terry Reward Modeling,
PPO) vs. Direct Preference Optimization (DPO)
✔ WORKED STEP-BY-STEP PROBLEM: Step-by-step hand calculation of DPO cross-entropy
loss and implicit reward margins
✔ 10 Deadly RL Exam Traps (Off-Policy Deadly Triad, Reward Hacking, exploration collapse)
✔ APPENDIX: 1-Hour Emergency Pre-Exam Quick-Cram Cheat Sheet with master Bellman
equations and 25 active recall flashcards
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