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IPython Notebook example of directed graph MDP in pympdtoolbox
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Implement Example Node Graph in pymdptoolbox" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Introduction\n", | |
"The purpose of this notebook is to show how to implement the\n", | |
"first example MDP problem as shown in [Udacity's Reinforcement Learning course](https://www.udacity.com/course/reinforcement-learning--ud600) in the Python\n", | |
"[pymdptoolbox](http://pymdptoolbox.readthedocs.org/en/latest/), instead of in [BURLAP](http://burlap.cs.brown.edu) as shown in the [below video](https://youtu.be/msWEUsaPiOA)\n", | |
"\n", | |
"**NOTE:** This notebook requires the current master branch of pymdptoolbox to work correctly, as the example\n", | |
"requires non-stochastic matrices. To do that, simply `$ pip install git+git://github.com/sawcordwell/pymdptoolbox.git`" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import mdptoolbox\n", | |
"import numpy as np\n", | |
"from IPython.display import YouTubeVideo, Math, Image" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"pymdptoolbox==4.0b4.dev0\r\n" | |
] | |
} | |
], | |
"source": [ | |
"!pip freeze | grep mdptoolbox" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"\n", | |
" <iframe\n", | |
" width=\"400\"\n", | |
" height=\"300\"\n", | |
" src=\"https://www.youtube.com/embed/msWEUsaPiOA\"\n", | |
" frameborder=\"0\"\n", | |
" allowfullscreen\n", | |
" ></iframe>\n", | |
" " | |
], | |
"text/plain": [ | |
"<IPython.lib.display.YouTubeVideo at 0x107c56310>" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"YouTubeVideo('msWEUsaPiOA')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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0349+2rFtafxj68PCtQpOS168PMQA2yqs5Rsr6d5tlatqQMpxrRJ5dQ3IGzaAdB6DKl6W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\nkT4gQFTWV1VXNQSCGD14rF8EmJklQWEB2r59x6qlS4ac1Wvc2RM8SsD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dsnT2v1/rfvtg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rv15pSn9ZCamhoTHQ0gIyODdzoIkfkVW8AncvngQ5uh3lxb34AuXfr0TkoDyIncQ2VVOUoW/Xql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4/16zcuWPB6SEiwm5trr5gYXz8/ACNHPwALOdAcV53CjGZLdw/3bhG6bIzZmVna+kbT0nNz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\nAAAAyOz/ASyUNC7ncmirAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 4, | |
"metadata": { | |
"image/png": { | |
"width": 500 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"Image('first_mdp_problem.png', width=500)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## MDP Representation\n", | |
"The MDP problem to matrix index mapping is below (for purposes of this problem, $p_n$ serve as both actions and rewards:\n", | |
"\n", | |
"* action 0: $a, p_1, p_2, p_3, p_4, O$\n", | |
"* action 1: $b$\n", | |
"* action 2: $c$\n", | |
"* state 0: $s_0$\n", | |
"* state 1: $s_1$\n", | |
"* state 2: $s_2$\n", | |
"* state 3: $s_3$\n", | |
"* state 4: $s_4$\n", | |
"* state 5: $s_5$\n", | |
"\n", | |
"**Represented by the following matrices**" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
" | 0 1 0 0 0 0 |\n", | |
" | 0 1 0 0 0 0 |\n", | |
" P[0,:,:] = | 0 0 0 0 1 0 |\n", | |
" | 0 0 0 0 0 1 |\n", | |
" | 0 0 1 0 0 0 |\n", | |
" | 0 0 0 0 0 1 |\n", | |
"\n", | |
" | 0 0 1 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" P[1,:,:] = | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
"\n", | |
" | 0 0 0 1 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" P[2,:,:] = | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
"\n", | |
" | 0 0 0 0 0 0 |\n", | |
" | 0 p1 0 0 0 0 |\n", | |
" R[0,:,:] = | 0 0 0 0 p2 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" | 0 0 p3 0 0 0 |\n", | |
" | 0 0 0 0 0 p4 |\n", | |
"\n", | |
" | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" R[1,:,:] = | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
"\n", | |
" | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" R[2,:,:] = | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |\n", | |
" | 0 0 0 0 0 0 |" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def first_mdp_problem(p1, p2, p3, p4):\n", | |
" \"\"\"Generate a MDP example First MDP Problem \n", | |
" from https://www.youtube.com/watch?v=msWEUsaPiOA\n", | |
" \n", | |
" This function is used to generate a transition probability\n", | |
" (``A`` × ``S`` × ``S'``) array ``P`` and a reward (``A`` × ``S`` x ``S'``) matrix\n", | |
" ``R`` that model the following problem.\n", | |
" \n", | |
" Parameters\n", | |
" ---------\n", | |
" p1, p2, p3, p4 : Rewards for those actions\n", | |
"\n", | |
" Returns\n", | |
" -------\n", | |
" out : tuple\n", | |
" ``out[0]`` contains the transition probability matrix P and ``out[1]``\n", | |
" contains the reward matrix R. P is a numpy\n", | |
" array with a shape of ``(A, S, S')`` and R is a numpy array with a shape\n", | |
" of ``(A, S, S')``.\n", | |
" \"\"\"\n", | |
" P = np.zeros((3, 6, 6))\n", | |
" P[0, 0, 1] = 1 # a\n", | |
" P[0, 1, 1] = 1 # p1\n", | |
" P[0, 2, 4] = 1 # p2\n", | |
" P[0, 3, 5] = 1 # O\n", | |
" P[0, 4, 2] = 1 # p3\n", | |
" P[0, 5, 5] = 1 # p4\n", | |
" P[1, 0, 2] = 1 # b\n", | |
" P[2, 0, 3] = 1 # c\n", | |
" \n", | |
" R = np.zeros((3, 6, 6))\n", | |
" R[0, 1, 1] = p1\n", | |
" R[0, 2, 4] = p2\n", | |
" R[0, 4, 2] = p3\n", | |
" R[0, 5, 5] = p4\n", | |
" \n", | |
" return P, R" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"P, R = first_mdp_problem(1, 1, 1, 5)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([[[ 0., 1., 0., 0., 0., 0.],\n", | |
" [ 0., 1., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 1., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 1.],\n", | |
" [ 0., 0., 1., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 1.]],\n", | |
"\n", | |
" [[ 0., 0., 1., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.]],\n", | |
"\n", | |
" [[ 0., 0., 0., 1., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.]]])" | |
] | |
}, | |
"execution_count": 7, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"P" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([[[ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 1., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 1., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 1., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 5.]],\n", | |
"\n", | |
" [[ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.]],\n", | |
"\n", | |
" [[ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.],\n", | |
" [ 0., 0., 0., 0., 0., 0.]]])" | |
] | |
}, | |
"execution_count": 8, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"R" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Policy Iteration " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
" Iteration Variation\n", | |
" 1 1\n", | |
" 2 0\n", | |
"Iterating stopped, unchanging policy found.\n", | |
"(2, 0, 0, 0, 0, 0)\n", | |
"(1.3333333333333337, 1.6666666666666667, 1.6666666666666665, 3.333333333333334, 1.6666666666666665, 8.333333333333334)\n", | |
"CPU times: user 1.7 ms, sys: 539 µs, total: 2.24 ms\n", | |
"Wall time: 2.03 ms\n" | |
] | |
} | |
], | |
"source": [ | |
"%%time\n", | |
"pi = mdptoolbox.mdp.PolicyIteration(P, R, 0.4, skip_check=True)\n", | |
"pi.setVerbose()\n", | |
"pi.run()\n", | |
"print pi.policy\n", | |
"print pi.V" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Value Iteration" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
" Iteration Variation\n", | |
" 1 5.000000\n", | |
" 2 1.600000\n", | |
" 3 0.640000\n", | |
" 4 0.256000\n", | |
" 5 0.102400\n", | |
" 6 0.040960\n", | |
" 7 0.016384\n", | |
"Iterating stopped due to maximum number of iterations condition.\n", | |
"Policies: (2, 0, 0, 0, 0, 0)\n", | |
"Values: (1.3196800000000004, 1.663936, 1.663936, 3.3196800000000004, 1.663936, 8.31968)\n", | |
"CPU times: user 828 µs, sys: 413 µs, total: 1.24 ms\n", | |
"Wall time: 886 µs\n" | |
] | |
} | |
], | |
"source": [ | |
"%%time\n", | |
"vi = mdptoolbox.mdp.ValueIteration(P, R, 0.4, skip_check=True)\n", | |
"vi.setVerbose()\n", | |
"vi.run()\n", | |
"print 'Policies:', vi.policy\n", | |
"print 'Values:', vi.V" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 2", | |
"language": "python", | |
"name": "python2" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 2 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython2", | |
"version": "2.7.10" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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