GAE.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "romance-latest",
   "metadata": {},
   "source": [
    "# Generalized Advantage Estimate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "touched-wallace",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Package(s) loaded.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline  \n",
    "%config InlineBackend.figure_format='retina'\n",
    "print (\"Package(s) loaded.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "found-hurricane",
   "metadata": {},
   "source": [
    "### MDP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cosmetic-operator",
   "metadata": {},
   "outputs": [],
   "source": [
    "gamma = 0.8 # discount factor (or variance reduction in GAE)\n",
    "lamda = 0.8 # GAE discount\n",
    "times = np.linspace(0,9,10)\n",
    "rewards = np.array([0.1,0.1,0.1,0.1,-5,0.1,0.1,0.1,0.1,10])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "liable-soldier",
   "metadata": {},
   "source": [
    "### Plot Values and GAEs\n",
    "#### Values\n",
    "$V(s_t) = \\sum_{l=0}^{\\infty} \\gamma^l r(s_{t+l})$\n",
    "and $V(s_t) = r(s_t) + \\gamma V(s_{t+1})$\n",
    "#### Generalized Advantage Estimates\n",
    "$\\delta^V_t = r_t + \\gamma V(s_{t+1}) - V(s_t)$ - (9)\n",
    "\n",
    "$\\hat{A}_t^{\\text{GAE}(\\gamma,\\lambda)}\n",
    "=\n",
    "\\sum_{l=0}^{\\infty} (\\gamma \\lambda)^l\n",
    "\\delta^V_{t+l}\n",
    "$ - (16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "recovered-developer",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Helper function ready.\n"
     ]
    }
   ],
   "source": [
    "def plot_values_gaes(time,rewards,gamma,lamda):\n",
    "    L = times.shape[0]\n",
    "    # Compute values\n",
    "    values = np.zeros(L); values[L-1] = rewards[L-1]\n",
    "    for t in reversed(range(L-1)):\n",
    "        values[t] = rewards[t] + gamma*values[t+1]\n",
    "    # Compute GAEs\n",
    "    gaes = np.zeros(L); gaes[L-1] = rewards[L-1]\n",
    "    for t in reversed(range(L-1)):\n",
    "        delta = rewards[t] + (gamma*values[t+1]) - values[t]\n",
    "        gaes[t] = delta + (gamma*lamda*gaes[t+1])\n",
    "    # Plot rewards\n",
    "    plt.figure(figsize=(12,3))\n",
    "    plt.subplot(1,3,1)\n",
    "    plt.bar(times,rewards,color='b')\n",
    "    plt.title(\"Rewards\",fontsize=15)\n",
    "    plt.xlabel(\"Time\",fontsize=15)\n",
    "    # Plot values\n",
    "    plt.subplot(1,3,2)\n",
    "    plt.bar(times,values,color='r')\n",
    "    plt.title(\"Values ($\\gamma$:%.2f)\"%(gamma),fontsize=15)\n",
    "    plt.xlabel(\"Time\",fontsize=15)\n",
    "    # Plot GAEs\n",
    "    plt.subplot(1,3,3)\n",
    "    plt.bar(times,gaes,color='g')\n",
    "    plt.title(\"GAE ($\\gamma$:%.2f $\\lambda$:%.2f)\"%(gamma,lamda),fontsize=15)\n",
    "    plt.xlabel(\"Time\",fontsize=15)\n",
    "    plt.show()\n",
    "print (\"Helper function ready.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "found-girlfriend",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 230,
       "width": 715
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 230,
       "width": 715
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 230,
       "width": 715
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 230,
       "width": 715
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_values_gaes(times,rewards,gamma=0.7,lamda=0.9)\n",
    "plot_values_gaes(times,rewards,gamma=0.8,lamda=0.9)\n",
    "plot_values_gaes(times,rewards,gamma=0.9,lamda=0.9)\n",
    "plot_values_gaes(times,rewards,gamma=0.99,lamda=0.9)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "violent-telescope",
   "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": 5
}