step2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import Code.utils as utils\n",
    "import Code.environment.settings as settings\n",
    "from Code.environment.Environment import Environment\n",
    "from Code.GreedyLearner import GreedyLearner\n",
    "from Code.environment.Customer import Customer\n",
    "from Code.NoisyClairvoyant import NoisyClairvoyant\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "\n",
      " [2, 3, 1, 1, 2] 4174.50600475387 41.7450600475387\n"
     ]
    }
   ],
   "source": [
    "cust_json = \"customer3.json\"\n",
    "today_customer = 100\n",
    "var_cust = 0\n",
    "p_lambda = 1.0\n",
    "graph_json = \"business_full_graph2.json\"\n",
    "arms = settings.prices\n",
    "\n",
    "environment = Environment(cust_json,today_customer,var_cust,p_lambda, graph_json, arms)\n",
    "\n",
    "clairvoyant_arms, clairvoyant_reward, exp_c, rew_per_arm = environment.estimate_clairvoyant()\n",
    "\n",
    "print(\"\\n\", clairvoyant_arms, clairvoyant_reward, exp_c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "arms2 = list(rew_per_arm.keys())\n",
    "indexes = []\n",
    "for i, a in enumerate(arms2):\n",
    "    indexes.append(i)\n",
    "rewards = list(rew_per_arm.values())\n",
    "\n",
    "plt.figure(figsize=(20,10))\n",
    "plt.bar(indexes, rewards, width=1.2)\n",
    "plt.xlabel(\"super arms\")\n",
    "plt.ylabel(\"expected reward\")\n",
    "plt.title(\"rewards by clayrvoyant\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_arms = 4\n",
    "n_products = 5\n",
    "\n",
    "TIME_HORIZON = 300\n",
    "NUM_ITERATION = 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "loading: [===========================   ] 90.0%\n",
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      "loading: [============================  ] 93.3%\n",
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      "[1 3 3 1 2]\n",
      "[1 3 3 1 2]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1 3 3 2 1]\n",
      "\r",
      "loading: [============================= ] 96.7%\n",
      "[2 3 3 1 1]\n",
      "[1 3 3 1 2]\n",
      "[2 3 3 1 1]\n",
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      "[2 3 3 1 1]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(5, 300)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rewards_iterations = []\n",
    "for i in range(NUM_ITERATION):\n",
    "    gr_learner = GreedyLearner(n_arms, n_products, environment.customers, graph_json, arms, environment.customers_distribution)\n",
    "\n",
    "    for t in range(TIME_HORIZON):\n",
    "        if t % 10 == 0:\n",
    "            utils.progress_bar(t, TIME_HORIZON)\n",
    "            \n",
    "        super_arm = gr_learner.select_superarm()\n",
    "        print(super_arm)\n",
    "        report = environment.round(super_arm)\n",
    "        gr_learner.update(super_arm.copy(), report)\n",
    "        prices = [arms[p][a] for p, a in enumerate(super_arm)]\n",
    "        \n",
    "        \n",
    "    rewards = gr_learner.get_rewards()\n",
    "    rewards_iterations.append(np.array(rewards))\n",
    "rewards_iterations = np.array(rewards_iterations)\n",
    "rewards_iterations.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 5))\n",
    "mean = np.mean(rewards_iterations, axis=0)\n",
    "stdev = np.std(rewards_iterations, axis=0)\n",
    "\n",
    "plt.plot(range(len(mean)), mean)\n",
    "plt.fill_between(range(len(mean)), (mean-stdev), (mean+stdev), color='b', alpha=.1)\n",
    "plt.plot(range(len(rewards)), [clairvoyant_reward] * len(rewards))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,5))\n",
    "regret = clairvoyant_reward - rewards_iterations \n",
    "mean_regret = np.mean(regret, axis=0)\n",
    "std_regret = np.std(regret, axis=0)\n",
    "\n",
    "plt.plot(range(len(mean_regret)), mean_regret)\n",
    "plt.fill_between(range(len(mean_regret)), (mean_regret-std_regret), (mean_regret+std_regret), color='b', alpha=.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,5))\n",
    "regret = clairvoyant_reward - rewards_iterations \n",
    "cumulative_regret = np.cumsum(regret, axis=1)\n",
    "cum_reg_mean = np.mean(cumulative_regret, axis=0)\n",
    "cum_reg_std = np.std(cumulative_regret, axis=0)\n",
    "\n",
    "plt.plot(range(len(cum_reg_mean)), cum_reg_mean)\n",
    "plt.fill_between(range(len(cum_reg_mean)), (cum_reg_mean-cum_reg_std), (cum_reg_mean+cum_reg_std), color='b', alpha=.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "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": "3.8.8"
  },
  "vscode": {
   "interpreter": {
    "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}