Optimal Policies for MDPs: Difference between revisions
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(Created page with "{{DISPLAYTITLE:Optimal Policies for MDPs (Optimal Policies for MDPs)}} == Description == In an MDP, a policy is a choice of what action to choose at each state An Optimal Policy is a policy where you are always choosing the action that maximizes the “return”/”utility” of the current state. The problem here is to find such an optimal policy from a given MDP. == Parameters == No parameters found. == Table of Algorithms == {| class="wikitable sortable" styl...") |
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== Time Complexity | == Time Complexity Graph == | ||
[[File:Optimal Policies for MDPs - Time.png|1000px]] | [[File:Optimal Policies for MDPs - Time.png|1000px]] | ||
== Space Complexity | == Space Complexity Graph == | ||
[[File:Optimal Policies for MDPs - Space.png|1000px]] | [[File:Optimal Policies for MDPs - Space.png|1000px]] | ||
== Pareto | == Pareto Frontier Improvements Graph == | ||
[[File:Optimal Policies for MDPs - Pareto Frontier.png|1000px]] | [[File:Optimal Policies for MDPs - Pareto Frontier.png|1000px]] | ||
Revision as of 13:05, 15 February 2023
Description
In an MDP, a policy is a choice of what action to choose at each state An Optimal Policy is a policy where you are always choosing the action that maximizes the “return”/”utility” of the current state. The problem here is to find such an optimal policy from a given MDP.
Parameters
No parameters found.
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Bellman Value Iteration (VI) | 1957 | $O({2}^n)$ | $O(n)$ | Exact | Deterministic | Time |
| Howard Policy Iteration (PI) | 1960 | $O(n^{3})$ | $O(n)$ | Exact | Deterministic | Time |
| Puterman Modified Policy Iteration (MPI) | 1974 | $O(n^{3})$ | $O(n)$ | Exact | Deterministic |
Time Complexity Graph
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Space Complexity Graph
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Pareto Frontier Improvements Graph
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