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Exercise 4_9.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Exercise 4_9.ipynb",
"version": "0.3.2",
"provenance": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/enakai00/1180ee8073691d2acf2424548cd75a71/exercise_4-9.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Ev-g_qGxksN1",
"colab_type": "text"
},
"source": [
"# Exercise 4.9: Solution"
]
},
{
"cell_type": "code",
"metadata": {
"id": "h18OHcidRGEH",
"colab_type": "code",
"colab": {}
},
"source": [
"import numpy as np\n",
"from pandas import DataFrame"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "IffhQ8wFRN3T",
"colab_type": "code",
"colab": {}
},
"source": [
"def get_q_val(v, s, a, p):\n",
" q = 0\n",
"\n",
" # win case\n",
" s_new = s + a\n",
" if s_new == 100:\n",
" r = 1\n",
" q += p*r\n",
" else:\n",
" r = 0\n",
" q += p*(r + v[s_new])\n",
"\n",
" # loss case\n",
" s_new = s - a\n",
" if s_new == 0:\n",
" r = 0\n",
" q += p*r\n",
" else:\n",
" r = 0\n",
" q += (1-p)*(r + v[s_new])\n",
"\n",
" return q \n",
"\n",
"\n",
"def value_iteration(p=0.5):\n",
" value = np.zeros(101)\n",
" value[100] = 1\n",
" policy = np.ones(101)\n",
"\n",
" for c in range(500):\n",
" _value = value.copy()\n",
" for s in range(1, 100): # sweep\n",
" qs = []\n",
" for a in range(1, min(s, 100-s)+1):\n",
" q = get_q_val(_value, s, a, p)\n",
" qs.append(q)\n",
" a = np.argmax(qs)\n",
" policy[s] = a + 1\n",
" value[s] = qs[a]\n",
"\n",
" if max(np.abs(value-_value)) == 0:\n",
" break\n",
"\n",
" return value, policy"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "OLyCWJIah951",
"colab_type": "code",
"outputId": "72f3ca06-2d10-4b21-9a98-f99293b4f8ba",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 562
}
},
"source": [
"values = {}\n",
"policies = {}\n",
"for p in [0.25, 0.4, 0.55]:\n",
" value, policy = value_iteration(p)\n",
" values['p={}'.format(str(p))] = value\n",
" policies['p={}'.format(str(p))] = policy\n",
"\n",
"DataFrame(values).plot(title='value')\n",
"DataFrame(policies).plot(title='policy')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fa591ff12b0>"
]
},
"metadata": {
"tags": []
},
"execution_count": 3
},
{
"output_type": "display_data",
"data": {
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dtF2Pqd0k9+1F2wEkuYv2wbYXlv0eMr6EhD5w/XvQyb+/999Ym8Wba7O57cLu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\n+lwGU5/3uhEwX+4+TLjVwoK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98ksshDhDPvmTX2Qvar2bqW435G2CHe/Dzv8ZqxyFRMOQ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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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DcCaAB/jvBMApAJ7muzwC4LxKnKCCQtkRSei+5WLoWv6VoqrbokIXQr459F8BuAWAWCka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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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