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Lecture
Markov Decision Processes: Foundations of Reinforcement Learning
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Introduction to Reinforcement Learning: Key Concepts and Applications
Introduces reinforcement learning, covering its definitions, applications, and theoretical foundations, while outlining the course structure and objectives.
Linear Programming Techniques in Reinforcement Learning
Covers the linear programming approach to reinforcement learning, focusing on its applications and advantages in solving Markov decision processes.
Policy Iteration and Linear Programming in MDPs
Discusses policy iteration and linear programming methods for solving Markov Decision Processes.
Markov Games: Concepts and Applications in Reinforcement Learning
Covers Markov games, their dynamics, equilibria, and applications in reinforcement learning.
Controlled Stochastic Processes
Explores controlled stochastic processes, focusing on analysis, behavior, and optimization, using dynamic programming to solve real-world problems.
Infinite-Horizon Problems: Formulation & Complexity
Covers infinite-horizon problems in Applied Probability and Stochastic Processes.
Optimization Methods: Theory Discussion
Explores optimization methods, including unconstrained problems, linear programming, and heuristic approaches.
Markov Decision Processes: Dynamic Programming Techniques
Discusses Markov Decision Processes and dynamic programming techniques for solving optimal policies in various scenarios.
Value Iteration Acceleration: PID and Operator Splitting
Explores accelerating the Value Iteration algorithm using control theory and matrix splitting techniques to achieve faster convergence.
Asset Selling Problem
Explores the Asset Selling Problem to maximize long-term reward without a deadline.