Difference between revisions of "Markov Decision Process (MDP)"

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Used where outcomes are partly random and partly under the control of a decision maker. MDP is a discrete time stochastic control process. At each time step, the process is in some state s, and the decision maker may choose any action a that is available in state s. The process responds at the next time step by randomly moving into a new state  s', and giving the decision maker a corresponding reward R_{a}(s,s')} R_a(s,s').  The probability that the process moves into its new state s' is influenced by the chosen action.  Helping the convergence of certain algorithms a discount rate (factor) makes an infinite sum finite.
 
Used where outcomes are partly random and partly under the control of a decision maker. MDP is a discrete time stochastic control process. At each time step, the process is in some state s, and the decision maker may choose any action a that is available in state s. The process responds at the next time step by randomly moving into a new state  s', and giving the decision maker a corresponding reward R_{a}(s,s')} R_a(s,s').  The probability that the process moves into its new state s' is influenced by the chosen action.  Helping the convergence of certain algorithms a discount rate (factor) makes an infinite sum finite.
  
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== (Richard) Bellman Equation ==
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* [https://towardsdatascience.com/introduction-to-reinforcement-learning-markov-decision-process-44c533ebf8da Reinforcement Learning : Markov-Decision Process (Part 1) | Ayush Singh - Towards Data Science]
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* [http://towardsdatascience.com/reinforcement-learning-markov-decision-process-part-2-96837c936ec3 Reinforcement Learning: Bellman Equation and Optimality (Part 2) | Ayush Singh - Towards Data Science]
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http://miro.medium.com/max/690/1*5PGCR0jwd15kLhRCA09R1w.gif
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<youtube>14BfO5lMiuk</youtube>
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<youtube>aNuOLwojyfg</youtube>

Revision as of 08:23, 6 July 2020

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Solutions:

Used where outcomes are partly random and partly under the control of a decision maker. MDP is a discrete time stochastic control process. At each time step, the process is in some state s, and the decision maker may choose any action a that is available in state s. The process responds at the next time step by randomly moving into a new state s', and giving the decision maker a corresponding reward R_{a}(s,s')} R_a(s,s'). The probability that the process moves into its new state s' is influenced by the chosen action. Helping the convergence of certain algorithms a discount rate (factor) makes an infinite sum finite.


(Richard) Bellman Equation

1*5PGCR0jwd15kLhRCA09R1w.gif