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Monte-Carlo

Monte Carlo with exploring start and on-policy first visit for stochastic cleaning-robot MDP problem. This is Example 2.2 of the book “Reinforcement learning and dynamic programming using function approximators”

Exploring Starts

  Initial Policy {0: {-1: 0.0, 1: 1.0}, 1: {-1: 1.0, 1: 0.0}, 2: {-1: 0.0, 1: 1.0}, 3: {-1: 0.0, 1: 1.0}, 4: {-1: 0.0, 1: 1.0}, 5: {-1: 0.0, 1: 1.0}}

  Final Policy  {0: {-1: 1.0, 1: 0.0}, 1: {-1: 0.0, 1: 1.0}, 2: {-1: 0.0, 1: 1.0}, 3: {-1: 0.0, 1: 1.0}, 4: {-1: 0.0, 1: 1.0}, 5: {-1: 1.0, 1: 0.0}}

  State Value   {0: 0.0, 1: 3.094846635346561, 2: 3.6402342115593473, 3: 4.220072304785156, 4: 4.8300228271812085, 5: 0.0 

Don't worry about any policy at the terminal states

Result Plots

On-Policy First Visit MC Control

Initial Policy {0: {-1: 0.25, 1: 0.75}, 1: {-1: 0.75, 1: 0.25}, 2: {-1: 0.25, 1: 0.75}, 3: {-1: 0.25, 1: 0.75}, 4: {-1: 0.75, 1: 0.25}, 5: {-1: 0.25, 1: 0.75}}

Final Policy  {0: {-1: 0.75, 1: 0.25}, 1: {-1: 0.25, 1: 0.75}, 2: {-1: 0.25, 1: 0.75}, 3: {-1: 0.25, 1: 0.75}, 4: {-1: 0.25, 1: 0.75}, 5: {-1: 0.75, 1: 0.25}}

State Value   {0: 0.0, 1: 2.0229257103771903, 2: 2.732817107101685, 3: 3.515765815126021, 4: 4.391217437720262, 5: 0.0}

Don't worry about any policy at the terminal states

Result Plots

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