1. Introduction to reinforcement learning
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Defining reinforcement learning (RL) and its applications in different domains.
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Understanding the differences between supervised, unsupervised, and reinforcement learning.
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Exploring the basic framework of RL, including agents, environments, actions, states, and rewards.
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Comparing RL to other AI techniques like dynamic programming and control theory.
2. Mathematical foundations
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Markov Decision Processes (MDPs): Understanding MDPs as the mathematical framework for modeling sequential decision-making problems in RL.
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Bellman Equations: Deriving and solving Bellman equations for optimal value functions and policies.
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Dynamic Programming: Learning planning algorithms like value iteration and policy iteration.
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Optimization Techniques: Understanding optimization concepts like gradient descent and its role in RL algorithms.
3. RL algorithms and methods
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Multi-Armed Bandits (MAB): Addressing the exploration-exploitation dilemma in simpler settings like multi-armed bandits.
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Monte Carlo Methods: Learning from experience by averaging sample returns to estimate value functions.
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Temporal-Difference (TD) Learning: Updating value functions using the Bellman equation and techniques like Q-learning and SARSA.
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Function Approximation: Using linear function approximation or neural networks to represent value functions in large state spaces.
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Policy Gradient Methods: Directly optimizing the agent's policy using techniques like REINFORCE and Actor-Critic methods.
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Deep Reinforcement Learning (DRL): Combining RL with deep learning, including algorithms like Deep Q-Networks (DQN) and Proximal Policy Optimization (PPO).
4. Advanced topics (depending on course level)
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Exploration-Exploitation Strategies: Advanced techniques like Upper Confidence Bound (UCB) and UCRL for balancing exploration and exploitation.
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Offline Reinforcement Learning: Learning from static datasets and real-world interactions without requiring live environmental interactions.
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Multi-Agent Reinforcement Learning (MARL): Dealing with scenarios involving multiple interacting agents.
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Hierarchical Reinforcement Learning (HRL): Decomposing complex tasks into subtasks to simplify learning and improve scalability.
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Reinforcement Learning from Human Feedback (RLHF): Training agents using human feedback and preferences.
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Direct Preference Optimization (DPO): An alternative to RLHF that optimizes policies based on human preference data without the need for a separate reward model.
5. Practical application and implementation
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RL Environments: Working with RL environments like OpenAI Gym for simulating real-world scenarios.
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Python Programming: Implementing RL algorithms and solutions using Python and relevant libraries (e.g., NumPy, OpenAI Gym).
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Deep Learning Frameworks: Utilizing frameworks like TensorFlow and PyTorch for building and training DRL models.