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@AidanRocke
Created May 23, 2018 06:04
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{
"cells": [
{
"cell_type": "markdown",
"source": [
"## L'application du Q-learning au RoShamBo:\n",
"### 1. Comment équilibrer l'exploration et l'exploitation?\n",
"### 2. Est-ce que vous pouvez suggérer un modification au méthode de Q-learning?\n",
"### 3. Si vous avez bien compris cet exercice, essayez d'appliquer l'algorithme de Q-learning à des problèmes un peu plus complexe comme le tic-tac-toe. "
],
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "markdown",
"source": [
"## Les outils principales:"
],
"metadata": {}
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"class Q_agent:\n",
" \n",
" def __init__(self,epochs,epsilon,learning_rate,discount_factor):\n",
" self.epochs = epochs\n",
" self.epsilon = epsilon\n",
" self.alpha = learning_rate\n",
" self.gamma = discount_factor\n",
" self.Q = np.zeros(3)\n",
" \n",
" ### ces listes vont nous permettre de suivre l'évolution des estimations:\n",
" self.Q1 = []\n",
" self.Q2 = []\n",
" self.Q3 = []\n",
" \n",
" def Q_learning(self):\n",
"\n",
" for i in range(self.epochs):\n",
" \n",
" ## use the epsilon-greedy strategy only if epsilon is non-zero: \n",
" if epsilon != 0.0:\n",
" P = np.random.rand() > self.epsilon/np.log(np.e+i)\n",
" choice = int(np.argmax(self.Q)*(P) + np.random.choice(3)*(1.0-P))\n",
" \n",
" else:\n",
" choice = np.random.choice(3)\n",
" \n",
" ## on considère que notre l'adversaire a un comportement imprévisible\n",
" ## ce qui raisonnable pour ce genre de jeux\n",
" reward = np.random.choice((0,-1,1),1)[0]\n",
" \n",
" self.Q[choice] = (1-self.alpha)*self.Q[choice]+ \\\n",
" self.alpha*(reward + self.gamma*max(self.Q))\n",
" \n",
" if choice == 0.0:\n",
" self.Q1.append(self.Q[choice])\n",
" \n",
" elif choice == 1.0:\n",
" self.Q2.append(self.Q[choice])\n",
" \n",
" else:\n",
" self.Q3.append(self.Q[choice])"
],
"outputs": [],
"execution_count": 45,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "markdown",
"source": [
"## 1. Est-ce que la solution 'epsilon-greedy' mène à une estimation convergente?\n",
"### a. Jouez avec les paramètres et essaye de voir si cela fais une différence.\n",
"### b. Qu'est-ce que vos observations vous suggère?"
],
"metadata": {}
},
{
"cell_type": "code",
"source": [
"epochs = 1000\n",
"epsilon = 0.5\n",
"learning_rate = 0.1\n",
"discount_factor = 0.9\n",
"\n",
"Q = Q_agent(epochs,epsilon,learning_rate,discount_factor)\n",
"\nQ.Q_learning()"
],
"outputs": [],
"execution_count": 46,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "code",
"source": [
"Q.Q ## le résultat finale"
],
"outputs": [
{
"output_type": "execute_result",
"execution_count": 47,
"data": {
"text/plain": [
"array([-0.34293559, 0.41009883, -0.54261217])"
]
},
"metadata": {}
}
],
"execution_count": 47,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "code",
"source": [
"%matplotlib inline\n",
"\n",
"plt.style.use('ggplot')\n",
"\n",
"plt.figure(figsize=(10,10)) \n",
"\n",
"X = np.arange(len(Q.Q1))\n",
"plt.plot(X,Q.Q1,color='steelblue')\n",
"\n",
"plt.title('Q1 value convergence?')\n",
"plt.xlabel('iteration')\n",
"plt.ylabel('Q1 value')\n",
"\nplt.show()"
],
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x1090d0a20>"
],
"image/png": [
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\n"
]
},
"metadata": {}
}
],
"execution_count": 48,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "markdown",
"source": [
"### Ici on ne considère que le première suite mais il n'y a aucune raison que les autres auront un comportement different. D'autre part, on peut examiner les histogrammes pour mieux apprecier la concentration des valeurs car convergence implique concentration. "
],
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "code",
"source": [
"np.random.seed(0)\n",
"\n",
"n_bins = 50\n",
"x = np.random.randn(1000, 3)\n",
"\n",
"%matplotlib inline\n",
"\n",
"plt.style.use('ggplot')\n",
"\n",
"plt.figure(figsize=(10,10)) \n",
"\n",
"fig, axes = plt.subplots(nrows=1, ncols=3,figsize=(15,5))\n",
"ax0, ax1, ax2 = axes.flatten()\n",
"\n",
"ax0.set_title('Q1 distribution')\n",
"ax0.hist(Q.Q1, n_bins, normed=1, histtype='bar')\n",
"\n",
"ax1.set_title('Q2 distribution')\n",
"ax1.hist(Q.Q2, n_bins, normed=1, histtype='bar')\n",
"\n",
"ax2.set_title('Q3 distribution')\n",
"ax2.hist(Q.Q3, n_bins, normed=1, histtype='bar')\n",
"\n",
"fig.tight_layout()\n",
"plt.show()"
],
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x1090d0080>"
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x1092d36a0>"
],
"image/png": [
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\n"
]
},
"metadata": {}
}
],
"execution_count": 49,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "markdown",
"source": [
"## 2. Qu'est-ce qu'on observe sans la stratégie 'epsilon-greedy'(i.e. epsilon = 0.0)?\n",
"### a. Jouez avec les paramètres et essaye de voir si cela fais une différence.\n",
"### b. Qu'est-ce que vos observations vous suggère?"
],
"metadata": {}
},
{
"cell_type": "code",
"source": [
"epochs = 1000\n",
"epsilon = 0.0\n",
"learning_rate = 0.01\n",
"discount_factor = 0.5\n",
"\n",
"Q = Q_agent(epochs,epsilon,learning_rate,discount_factor)\n",
"\nQ.Q_learning()"
],
"outputs": [],
"execution_count": 50,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "code",
"source": [
"Q.Q ## le résultat finale"
],
"outputs": [
{
"output_type": "execute_result",
"execution_count": 51,
"data": {
"text/plain": [
"array([-0.07314928, 0.04058836, -0.04303905])"
]
},
"metadata": {}
}
],
"execution_count": 51,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "code",
"source": [
"%matplotlib inline\n",
"\n",
"plt.style.use('ggplot')\n",
"\n",
"plt.figure(figsize=(10,10)) \n",
"\n",
"X = np.arange(len(Q.Q1))\n",
"plt.plot(X,Q.Q1,color='steelblue')\n",
"\n",
"plt.title('Q1 value convergence?')\n",
"plt.xlabel('iteration')\n",
"plt.ylabel('Q1 value')\n",
"\nplt.show()"
],
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x108e01c88>"
],
"image/png": [
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\n"
]
},
"metadata": {}
}
],
"execution_count": 52,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "code",
"source": [
"np.random.seed(0)\n",
"\n",
"n_bins = 50\n",
"x = np.random.randn(1000, 3)\n",
"\n",
"%matplotlib inline\n",
"\n",
"plt.style.use('ggplot')\n",
"\n",
"plt.figure(figsize=(10,10)) \n",
"\n",
"fig, axes = plt.subplots(nrows=1, ncols=3,figsize=(15,5))\n",
"ax0, ax1, ax2 = axes.flatten()\n",
"\n",
"ax0.set_title('Q1 distribution')\n",
"ax0.hist(Q.Q1, n_bins, normed=1, histtype='bar')\n",
"\n",
"ax1.set_title('Q2 distribution')\n",
"ax1.hist(Q.Q2, n_bins, normed=1, histtype='bar')\n",
"\n",
"ax2.set_title('Q3 distribution')\n",
"ax2.hist(Q.Q3, n_bins, normed=1, histtype='bar')\n",
"\n",
"fig.tight_layout()\n",
"plt.show()"
],
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x106019a20>"
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x106019438>"
],
"image/png": [
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]
},
"metadata": {}
}
],
"execution_count": 54,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
}
],
"metadata": {
"kernel_info": {
"name": "python3"
},
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