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@roronya
Created April 30, 2015 21:27
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import pandas as pd\n",
"from pandas import Series, DataFrame\n",
"import matplotlib.pyplot as plt\n",
"import copy"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def get_max_estimate_index(estimates):\n",
" max = estimates[np.argmax(estimates)]\n",
" maxes = []\n",
" for i in range(10):\n",
" if max == estimates[i]:\n",
" maxes.append(i)\n",
" return maxes"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def random(array):\n",
" a = copy.deepcopy(array)\n",
" np.random.shuffle(a)\n",
" \n",
" return a[0]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def probability(epsilon):\n",
" if np.random.rand(1)[0] <= epsilon:\n",
" return True\n",
" return False"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"Qstar = np.random.randn(2000, 10)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def play(Qstar, epsilon, repeat):\n",
" estimates = np.zeros([2000,10])\n",
" history = [[[] for j in range(10)] for i in range(2000)]\n",
" result = []\n",
" for j in range(repeat):\n",
" total = 0 \n",
" for i in range(2000):\n",
" indexes = get_max_estimate_index(estimates[i])\n",
" if probability(epsilon):\n",
" indexes = range(10)\n",
" n = random(indexes)\n",
" reward = Qstar[i][n] + np.random.randn()\n",
" history[i][n].append(reward)\n",
" estimates[i][n] = sum(history[i][n])/len(history[i][n])\n",
" total += reward\n",
" result.append(total/2000)\n",
" return result"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"zero = play(Qstar, 0, 500)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"one = play(Qstar, 0.01, 500)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"ten = play(Qstar, 0.1, 500)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fifty = play(Qstar, 0.5, 500)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"hundred = play(Qstar, 1, 500)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def play2(Qstar, repeat):\n",
" estimates = np.zeros([2000,10])\n",
" history = [[[] for j in range(10)] for i in range(2000)]\n",
" result = []\n",
" for j in range(repeat):\n",
" total = 0\n",
" if j <= repeat * 0.8:\n",
" epsilon = 0.1\n",
" else:\n",
" epsilon = 0.01\n",
" for i in range(2000):\n",
" indexes = get_max_estimate_index(estimates[i])\n",
" if probability(epsilon):\n",
" indexes = range(10)\n",
" n = random(indexes)\n",
" reward = Qstar[i][n] + np.random.randn()\n",
" history[i][n].append(reward)\n",
" estimates[i][n] = sum(history[i][n])/len(history[i][n])\n",
" total += reward\n",
" result.append(total/2000)\n",
" return result"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"one_to_zero = play2(Qstar, 500)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f1d044eff90>"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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m49Yq2B5xHnCLRywNIqDu3SzwDhJp58buaZgkEF3LIviA9sFcZa/ERlT1sTDS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K50KEOvwIRes8T1D4DWYxm7ejzj12GMcvB4xs8ew5jDMSa8cymlPM/zexKsZdya53k+KBPcwi1H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\nkUikYqLyiEQikUjF/D+uA/xPgieTMQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1d04003e50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.title(\"n-Armed Bandit Problem\")\n",
"plt.xlabel(\"number of times\")\n",
"plt.ylabel(\"average of total reward\")\n",
"plt.ylim(-0.2, 1.6)\n",
"plt.xlim(0, 500)\n",
"plt.grid()\n",
"plt.plot(zero,label='e = 0')\n",
"plt.plot(one, label='e = 0.01')\n",
"plt.plot(ten, label='e = 0.1')\n",
"plt.plot(fifty, label='e = 0.5')\n",
"plt.plot(hundred, label='e = 1')\n",
"plt.legend(loc='lower right')"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f1d03bdbd50>"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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IX7Ydxr7UFxKUGOBuzHfSnq//9+mLxoRdd+wMTibs5RVE+iCyvcK4BpCgROXFlu/jyKws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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1d03c15450>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.title(\"n-Armed Bandit Problem\")\n",
"plt.xlabel(\"number of times\")\n",
"plt.ylabel(\"average of total reward\")\n",
"plt.ylim(-0.2, 1.6)\n",
"plt.xlim(0, 500)\n",
"plt.grid()\n",
"plt.plot(one, label='e = 0.01')\n",
"plt.plot(ten, label='e = 0.1')\n",
"plt.plot(one_to_zero, label='e = 0.1 to 0.01')\n",
"plt.legend(loc='lower right')"
]
}
],
"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": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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