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@imohitmayank
Created September 17, 2019 18:25
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{
"cells": [
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"# Import\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"# Seed\n",
"np.random.seed(123)\n",
"\n",
"# fixed values\n",
"expected_action_value = np.random.uniform(0, 1, 10)\n",
"estimated_action_value = np.zeros(10)\n",
"epsilon_values = [0, 0.01, 0.1, 1]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"# Functions\n",
"def reward_function(action_taken, expected_action_value):\n",
" if (np.random.uniform(0, 1) <= expected_action_value[action_taken]):\n",
" return(1)\n",
" else:\n",
" return(-1)\n",
" \n",
"def multi_arm_bandit_problem(arms = 10, steps = 1000, e = 0.1, expected_action_value = []):\n",
" overall_reward, optimal_action = [], []\n",
" estimate_action_value = np.zeros(arms)\n",
" count = np.zeros(arms)\n",
" for s in range(0, steps):\n",
" e_estimator = np.random.uniform(0, 1)\n",
" action = np.argmax(estimate_action_value) if e_estimator > e else np.random.choice(np.arange(10))\n",
" reward = reward_function(action, expected_action_value)\n",
" estimate_action_value[action] = estimate_action_value[action] + (1/(count[action]+1)) * (reward - estimate_action_value[action])\n",
" overall_reward.append(reward)\n",
" optimal_action.append(action == np.argmax(expected_action_value))\n",
" count[action] += 1\n",
" return(overall_reward, optimal_action)\n",
" \n",
"def run_game(runs = 2000, steps = 1000, arms = 10, e = 0.1):\n",
" rewards = np.zeros((runs, steps))\n",
" optimal_actions = np.zeros((runs, steps))\n",
" expected_action_value = np.random.uniform(0, 1 , arms)\n",
" for run in range(0, runs):\n",
" rewards[run][:], optimal_actions[run][:] = multi_arm_bandit_problem(arms = arms, steps = steps, \\\n",
" e = e, expected_action_value = expected_action_value)\n",
" rewards_avg = np.average(rewards, axis = 0)\n",
" optimal_action_perc = np.average(optimal_actions, axis = 0)\n",
" return(rewards_avg, optimal_action_perc)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"# run \n",
"final_results = []\n",
"for e in epsilon_values:\n",
" game_result = run_game(e = e)\n",
" final_results.append(game_result)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plot average runs\n",
"for i in range(len(epsilon_values)):\n",
" plt.plot(final_results[i][0])\n",
"plt.legend(['e = ' + str(x) for x in epsilon_values], loc='upper left')\n",
"plt.title('Average rewards over 2000 runs')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plot optimal action %\n",
"for i in range(len(epsilon_values)):\n",
" plt.plot(final_results[i][1])\n",
"plt.legend(['e = ' + str(x) for x in epsilon_values], loc='upper left')\n",
"plt.title('optimal action %')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
@achoua
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achoua commented Oct 26, 2019

thanks

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