diff --git a/Blogs/BorealisBayesianParameter.ipynb b/Blogs/BorealisBayesianParameter.ipynb new file mode 100644 index 0000000..cfe39d5 --- /dev/null +++ b/Blogs/BorealisBayesianParameter.ipynb @@ -0,0 +1,519 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "authorship_tag": "ABX9TyNLPBx/gU0O2uIzg+FDhzdm", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "source": [ + "# Bayesian machine learning: parameter view\n", + "\n", + "This blog contains code that accompanies the Borealis AI blog on Bayesian methods for machine learning (parameter view). Contact udlbookmail@gmail.com if you find any problems." + ], + "metadata": { + "id": "XP-HQhwUYPB7" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "m4htzbZZYLLy" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib import cm\n", + "from matplotlib.colors import ListedColormap\n", + "from scipy.stats import multivariate_normal" + ] + }, + { + "cell_type": "markdown", + "source": [ + "Create data for linear model. One dimensional inputs and one dimensional outputs. Ones appended to inputs to account for intercepts." + ], + "metadata": { + "id": "7MCklcI7Zlqk" + } + }, + { + "cell_type": "code", + "source": [ + "X = np.array([[-0.21,-0.14,-0.01,0.12, 0.25, 0.21],[1.0, 1.0, 1.0, 1.0, 1.0, 1.0]])\n", + "y = np.array([-0.20, -0.26, -0.06, 0.07, 0.06, -0.05])\n", + "\n", + "fig,ax = plt.subplots()\n", + "ax.plot(X[0,:],y,'bo')\n", + "ax.set_xlim(-0.5,0.5)\n", + "ax.set_ylim(-0.5, 0.5)\n", + "ax.set_xlabel('Input, $x$')\n", + "ax.set_ylabel('Output, $y$')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "NXHLf13kZP8w", + "outputId": "c488b903-3581-42ad-9180-c434e08ac309" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# Maximum likelihood solution" + ], + "metadata": { + "id": "Vg3idk97clBD" + } + }, + { + "cell_type": "code", + "source": [ + "# Find parameters for maximum likelihood solution\n", + "phi_ml = np.linalg.inv(X @ X.transpose())@X@y" + ], + "metadata": { + "id": "6dh3ycTfa7Mv" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Create x data for plotting line\n", + "x_plot = np.atleast_2d(np.arange(-0.5,0.5, 0.01))\n", + "x_plot = np.concatenate([x_plot, np.ones_like(x_plot)],axis=0)\n", + "# Run model\n", + "y_plot = x_plot.transpose()@phi_ml\n", + "\n", + "fig,ax = plt.subplots()\n", + "ax.plot(X[0,:],y,'bo')\n", + "ax.plot(x_plot[0,:], y_plot, 'r-')\n", + "ax.set_xlim(-0.5,0.5)\n", + "ax.set_ylim(-0.5, 0.5)\n", + "ax.set_xlabel('Input, $x$')\n", + "ax.set_ylabel('Output, $y$')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "gv1m9Oi-dPl2", + "outputId": "426ec664-e68d-443d-a4ab-679bce81e527" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkUAAAGzCAYAAAAhXWNYAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAA+CElEQVR4nO3de1yUZf7/8fcAAqYCGgqpmIdM81yapLusleQhS83czDQPkdampqLb6u5P7fDYbDcPaNpBs8zKNFt020pbj2VFah42LfVbhisieMgE1EQY7t8f1wKiojAMczPD6/l4zGOXa+6Z+eC9Ou+97s99XQ7LsiwBAABUcn52FwAAAFAREIoAAABEKAIAAJBEKAIAAJBEKAIAAJBEKAIAAJBEKAIAAJAkBdhdgDfJy8vTkSNHVKNGDTkcDrvLAQAAJWBZlrKyslS3bl35+RU/H0QoKoUjR44oKirK7jIAAIALUlJSVL9+/WKfJxSVQo0aNSSZP9SQkBCbqwEAACWRmZmpqKiogu/x4hCKSiH/kllISAihCAAAL3O11hcarQEAAEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkOTloWj+/Plq2LChgoODFR0dra1bt5bodcuWLZPD4VDfvn3Lt0AAAOA1vDYULV++XPHx8Zo2bZp27Nihtm3bqnv37jp27NgVX3fw4EFNnDhRMTExHqoUAAB4A68NRbNmzdKIESM0fPhwtWjRQq+++qquueYavfHGG8W+xul0atCgQXrmmWfUuHFjD1YLAAAqOq8MRefPn9f27dsVGxtbMObn56fY2FglJSUV+7pnn31WderUUVxcXIk+Jzs7W5mZmUUeAADAN3llKDpx4oScTqciIiKKjEdERCg9Pf2yr/niiy+0aNEiLVy4sMSfM336dIWGhhY8oqKiylQ3AACouLwyFJVWVlaWHn74YS1cuFDh4eElft3kyZOVkZFR8EhJSSnHKgEAgJ0C7C7AFeHh4fL399fRo0eLjB89elSRkZGXHH/gwAEdPHhQ9957b8FYXl6eJCkgIED79+9XkyZNLnldUFCQgoKC3Fw9AACoiLxypigwMFDt27fX+vXrC8by8vK0fv16derU6ZLjmzdvrt27d2vXrl0Fj969e+uOO+7Qrl27uCwGAAC8c6ZIkuLj4zV06FB16NBBHTt2VEJCgs6cOaPhw4dLkoYMGaJ69epp+vTpCg4OVqtWrYq8PiwsTJIuGQcAAJWT14aiAQMG6Pjx45o6darS09PVrl07rVmzpqD5+tChQ/Lz88qJMAAAYAOHZVmW3UV4i8zMTIWGhiojI0MhISF2lwMAAEqgpN/fTKUAAACIUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACDJy0PR/Pnz1bBhQwUHBys6Olpbt24t9tiFCxcqJiZGNWvWVM2aNRUbG3vF4wEAQOXitaFo+fLlio+P17Rp07Rjxw61bdtW3bt317Fjxy57/KZNmzRw4EBt3LhRSUlJioqKUrdu3ZSamurhygEAQLk4d05asEB66y2XXu6wLMtyc0keER0drVtvvVXz5s2TJOXl5SkqKkpjxozRpEmTrvp6p9OpmjVrat68eRoyZEiJPjMzM1OhoaHKyMhQSEhImeoHAABu8vPP0ssvS/PmSceOSfXqST/9JAUGSir593eAp+p1p/Pnz2v79u2aPHlywZifn59iY2OVlJRUovc4e/ascnJyVKtWrWKPyc7OVnZ2dsHPmZmZrhcNAADc66efpNmzpTfekM6eNWMNGkjjx0t5eaV+O6+8fHbixAk5nU5FREQUGY+IiFB6enqJ3uNPf/qT6tatq9jY2GKPmT59ukJDQwseUVFRZaobAAC4wdat0gMPSE2bmtmhs2eldu2kd9+VfvxRGjdOCg4u9dt6ZSgqqxdeeEHLli3TypUrFXyFP7TJkycrIyOj4JGSkuLBKgEAQIG8POlf/5K6dJGio6UVK8xYjx7SunXSjh3SQw9JVaq4/BFeefksPDxc/v7+Onr0aJHxo0ePKjIy8oqvnTFjhl544QWtW7dObdq0ueKxQUFBCgoKKnO9AADARefOmRmgmTOlvXvNWJUqJgDFx0tX+S4vDa+cKQoMDFT79u21fv36grG8vDytX79enTp1KvZ1f//73/Xcc89pzZo16tChgydKBQAArvjlF+n556WGDaVHHzWBKCREeuopKTlZWrzYrYFI8tKZIkmKj4/X0KFD1aFDB3Xs2FEJCQk6c+aMhg8fLkkaMmSI6tWrp+nTp0uS/va3v2nq1KlaunSpGjZsWNB7VL16dVWvXt223wMAAFzg4EEpIUF6/XXpzBkzFhVl+oQefdQEo3LitaFowIABOn78uKZOnar09HS1a9dOa9asKWi+PnTokPz8CifCXnnlFZ0/f179+/cv8j7Tpk3T008/7cnSAQDAxbZvl158sbBXSJLatpUmTpQGDChTr1BJee06RXZgnSIAANzIsqTVq6UZM6SNGwvH77pL+uMfpdhYyeEo88f49DpFAADAi2VnS0uXmubp774zYwEB0oMPmpmhtm1tKYtQBAAAPOPUKenVV6W5c6W0NDNWo4Y0YoTpGbJ5PUBCEQAAKF+HDpnm6YULpdOnzVjdutLYsdJjj0mhobaWl49QBAAAysfOnaZfaPlyyek0Y61amUtkAwcW7E1WURCKAACA+1iW9O9/mzC0bl3h+J13mubp7t3d0jxdHghFAACg7M6fl5YtM2Fo924z5u9v9iibOFG65RZ76ysBQhEAAHBdRoa0YIE0Z46UmmrGqlUrbJ6+/npbyysNQhEAACi9lBQThBYskLKyzFhkZGHzdM2a9tbnAkIRAAAouW+/NZfI3ntPys01Yy1aSBMmSIMGSV68kTqhCAAAXJllSevXm204/v3vwvEuXUzzdM+ekp9X7jFfBKEIAABcXk6O9P77ZmZo1y4z5ucn9e9vmqdvvdXW8tyNUAQAAIrKyjILLSYkmN4hSbrmGikuTho/XmrUyNbyyguhCAAAGKmpZguO114zd5VJUp060pNPSn/4g1Srlr31lTNCEQAAld2ePeYS2dKl5pKZJDVvbpqnBw+WgoPtrc9DCEUAAFRGliVt3Giap9esKRz/3e9Mv1CvXj7RPF0ahCIAACqT3FxpxQozM7Rjhxnz85P69TNhKDra3vpsRCgCAKAyOH1aev11afZss2u9JFWtKj3yiGmebtLE3voqAEIRAAC+LD3dNE+/8op06pQZq11bGj1aeuIJKTzc1vIqEkIRAAC+6PvvpZkzpXfeMZu1SlLTpqZ5esgQM0uEIghFAAD4CsuSPv/cNE9//HHheOfOZuXp3r0rXfN0aRCKAADwdrm5UmKiaZ7ets2MORxS376mebpzZ1vL8xaEIgAAvNWZM9Ibb5jm6eRkMxYcLA0dKsXHSzfeaG99XoZQBACAtzl6VJo3T3r5ZenkSTN27bWFzdN16thbn5ciFAEA4C327ZNmzZKWLJGys81YkyameXroULM/GVxGKAIAoCKzLOnLL03z9IcfFo5HR5vm6b59JX9/28rzJYQiAAAqIqdTWrXKhKEtW8yYw2HuIPvjH03ztMNha4m+hlAEAEBFcvastHixuUx24IAZCwoyawtNmCA1a2Zreb6MUAQAQEVw/Lhpnp4/X/r5ZzNWq5ZpnB49WoqIsLe+SoBQBACAnX74wcwKLV4snTtnxho2NLfUP/KIVK2andVVKoQiAADskJRk+oVWrTLN1JLUoYPpF+rXTwrgK9rT+BMHAMBTnE5zB9mMGdJXXxWO33OPWXn6d7+jedpGhCIAAMrbr7+atYVmzjSXyyQpMFB6+GFzmaxFC3vrgyRCEQAA5efECdM4PW+e+e+SFBZW2Dx93XW2loeiCEUAALjbjz+a/cjefNPMEknS9ddL48dLcXFS9er21ofLIhQBAOAuW7aY5unExMLm6VtuMc3T/fvTPF3BuXR2UlJSFBUV5e5aAADwPnl50scfmzC0eXPheM+eJgzdfjvN017Cz5UXNW/eXFOnTtXZs2fdXQ8AoBw5ndKmTdJ775n/dDrtrsiLnTsnvf661LKl2Xpj82apShVp2DBp927pk0+kO+4gEHkRl0LR2rVr9emnn6pp06ZavHixm0sCAJSHxESzJuAdd0gPPWT+s2FDM45SOHlS+utfzR/eiBFm5/rQUOmpp6TkZNNH1KqV3VXCBQ7Lyr/oWXpLlizRX/7yF9WpU0cJCQmKiYlxZ20VTmZmpkJDQ5WRkaGQkBC7ywGAEktMNC0tF/+Lnz+J8cEHZr1AXEFysmmeXrTI7E8mSVFR0rhx0qOPSnwvVFgl/f52aaYo35AhQ7R//3716tVLPXv2VP/+/ZWcnFyWtwQAuJnTKY0de2kgkgrHxo3jUlqxvvlGGjBAuuEG6aWXTCBq21Z65x2zYWt8PIHIR5QpFOXr1q2bHn30Ua1cuVItWrTQU089pdOnT7vjrQEAZbR5s3T4cPHPW5aUklK0R9iXlaivKr95+o47pFtvld5/34x16yatXSvt3CkNGmR6iOAzXLr77NVXX9W2bdu0bds27d27V35+fmrVqpUef/xxtW3bVsuWLVOLFi2UmJioDh06uLtmAEAppKW59zhvlphoZs0uDIn160tz5vzv8mF2tvTuu2bl6e+/NwcEBEgDB5ptONq0saVueIZLPUVRUVGKjo7Wbbfdpttuu03t27dX1apVixzz/PPPa+nSpdqzZ4/birUbPUUAvNGmTWbC42o2bjR3j/uqK/VVhVm/6PNBr6rV+rlSerp5okYN6bHHpCefNL1D8Fol/f4uU6P1lRw9elR169aV04cuUhOKAHgjp9PcKJWaevm+IofDzJYkJ0v+/h4vzyPy/wwuvozYQP/VOCVohBaqus6YwXr1TJPViBHmrjJ4PY80Wl9JnTp1tGHDhvJ6ewBACfn7m8tD0qVL5uT/nJDgu4FIurSv6mbt0FIN1AE10XglqLrO6Fu11t5Jb0k//WQulRGIKp1yC0UOh0NdunQpr7cHAJRCv37mtvt69YqO169fOW7HN/1Slrprjdapq3aovQZqmQLk1FrFqrvWqK3+o11thpjd61EpsQkLAFQS/fpJffqYWZO0NLNBe0yMb88QSZLOn1e7/7ynbzVDrWX6XHPlr+UaoBmaqF26ueBQNq2v3AhFAFCJ+Pv7djN1ERkZ0oIF0pw5uik1VZKUpepaqBFK0DilqEHBofl9VT6+BjGuglAEAPAtKSmmSWrhQikry4xdd532dB2rmHceU4YjrEjDeWXpq8LVlVtPEQAAHrVrl/Tww1LjxtKsWSYQtWxp9iJLTlart/+kRf8Iq7R9Vbg6t88U+fn56fbbb9eLL76o9u3bu/vtAQAoZFlmhekXX5TWrSscv/NOcwdZjx5FbrmrtH1VKBG3h6I33nhDBw8e1KhRo/T111+7++0BAJBycqRly6QZM6RvvzVj/v7S739vwtAV/k95peqrQqmU2+KNvojFGwHAZpmZplcoIaFw4aFq1cwu9ePGmRUagYuU9PvbpZmiQ4cOKSoqSo6LVgGzLEspKSlq0KBBMa8EAMAFqalmBcrXXjPBSJIiIswWHI8/LtWqZW998AkuhaJGjRopLS1NderUKTJ+8uRJNWrUyKe29gAA2Gj3bnOJbOlSKTfXjDVvbi6RDR4sBQXZWx98ikuhyLKsS2aJJOn06dMKDg4uc1EAgErMsqQNG0wYWrOmcPx3v5P++Efp7rslP26ehvuVKhTFx8dLMlt4TJkyRddcc03Bc06nU1u2bFG7du3cWiAAoJLIyZFWrDBhaOdOM+bnJ91/v5kZ6tjR3vrg80oVinb+73+klmVp9+7dCrxgf5jAwEC1bdtWEydOdG+FAADflpUlLVokzZ4tHTpkxqpWleLiTPN0kya2lofKo1ShaOPGjZKk4cOHa86cOdyBBQBwXVqaNHeu9Oqr0qlTZqx2bWnMGOmJJ6Rrr7W1PFQ+LvUUvfnmm+6uAwBQWXz/vblE9s475pKZJN14ozRhglmRumpVe+tDpeVSKHr22Wev+PzUqVNdKgYA4KMsS/rsM7Py9CefFI7/9remX+jee2mehu1cCkUrV64s8nNOTo6Sk5MVEBCgJk2aEIoAAEZurvSPf5gwtH27GXM4zH4bEydKt91mb33ABVwKRfkN1xfKzMzUsGHDdN9995W5KACAlzt9WnrjDdM8ffCgGataVRo2TIqPl264wc7qgMty21xlSEiInnnmGU2ZMsVdb3lV8+fPV8OGDRUcHKzo6Ght3br1isevWLFCzZs3V3BwsFq3bq1PLpzCBQCUXXq69Je/SA0aSGPHmkAUHi49/bS5s+zllwlEqLDcegE3IyNDGRkZ7nzLYi1fvlzx8fGaNm2aduzYobZt26p79+46duzYZY//6quvNHDgQMXFxWnnzp3q27ev+vbtqz179nikXgDwafv2mf3Hrr9eev556ZdfzK30L78s/fe/0rRpJhwBFZhLG8LOnTu3yM+WZSktLU1vv/22unTpoqVLl7qtwOJER0fr1ltv1bx58yRJeXl5ioqK0pgxYzRp0qRLjh8wYIDOnDmjjz76qGDstttuU7t27fTqq6+W6DPZEBYALmBZ0hdfmH6hf/2rcPy228zK0336mC3pAZuV64aws2fPLvKzn5+fateuraFDh2ry5MmuvGWpnD9/Xtu3by/yWX5+foqNjVVSUtJlX5OUlFSwIne+7t27a9WqVcV+TnZ2trKzswt+zszfhBAAKjOnU1q50oSh/LYFh8OEoIkTpd/8xt76ABe5FIqSk5ML/nv+RNPl9kIrLydOnJDT6VRERESR8YiICO3bt++yr0lPT7/s8enp6cV+zvTp0/XMM8+UvWAA8AVnzkiLF0uzZkk//WTGgoJM8/T48VKzZnZWB5SZyz1FixYtUqtWrRQcHKzg4GC1atVKr7/+ujtrs93kyZML+qQyMjKUkpJid0kA4HlHj0pTp5rm6dGjTSC69lozduiQWZGaQAQf4NJM0dSpUzVr1iyNGTNGnTp1kmQuT40fP16HDh266uKOZRUeHi5/f38dPXq0yPjRo0cVGRl52ddERkaW6nhJCgoKUlBQUNkLBgBvtH+/mRV66y0pv5WgcWNzS/3w4dIFm4IDvsClmaJXXnlFCxcu1PTp09W7d2/17t1b06dP14IFC/Tyyy+7u8ZLBAYGqn379lq/fn3BWF5entavX18Q0i7WqVOnIsdL0tq1a4s9HgAqrS+/lPr2lW66SVqwwASijh3NDvb/93/SqFEEIvgkl2aKcnJy1KFDh0vG27dvr9zc3DIXVRLx8fEaOnSoOnTooI4dOyohIUFnzpzR8OHDJUlDhgxRvXr1NH36dEnS2LFj1aVLF82cOVO9evXSsmXL9M0332jBggUeqRcAKjSnU/rnP82eZBfesHLvveZOst/+1jRTAz7MpVD08MMP65VXXtGsWbOKjC9YsECDBg1yS2FXM2DAAB0/flxTp05Venq62rVrpzVr1hQ0Ux86dEh+F+yj07lzZy1dulT/7//9P/35z39W06ZNtWrVKrVq1coj9QJAhfTrr4XN0z/+aMYCA6UhQ8xlsptusrU8wJNcWqdozJgxWrJkiaKionTb//at2bJliw4dOqQhQ4aoSpUqBcdeHJy8GesUAfAZx4+bhRXnzZNOnDBjNWtKTzxhmqmv0G8JeJtyXadoz549uuWWWyRJBw4ckGSan8PDw4usEO3J2/QBACXw449mVujNN6Vz58xYw4bmlvpHHpGqV7e1PMBOLoWijRs3ursOAEB5+vprs9jiypVmJWpJat/e9Avdf78U4NLXAeBTXLr77NChQyruqtuhQ4fKVBAAwE3y8qQPP5RiYqROnaTERBOI7r5b2rBB2rZNGjCAQAT8j0t/Exo1aqS0tDTVqVOnyPjPP/+sRo0ayel0uqU4AIALzp2TliyRZs40t9BLUpUq0uDB0oQJUsuW9tYHVFAuhSLLsi7bL3T69GkFBweXuSgAgAt+/rmwefrYMTMWGio9/rj05JNS3br21gdUcKUKRfkbqjocDk2ZMkXXXLB4l9Pp1JYtW9SuXTu3FggAuIqffjLN02+8YW6xl8yWHOPHS3FxUo0a9tYHeIlShaKdO3dKMjNFu3fvVmBgYMFzgYGBatu2rSZOnOjeCgEAl7d1q2meTkw0/UOSdPPNpnn697/3mV4hp1PavFlKS5Ouu860SPn7210VfFGp/sbk33U2fPhwzZkzh7V6AMDT8vKkjz82K09//nnheI8eJgzdcYdPrTydmCiNHSsdPlw4Vr++NGeO1K+ffXXBN7m0eGNlxeKNAGyTnS29845pnt6714wFBEgPPSRNnCi1bm1vfeUgMVHq379wBYF8+Znvgw8IRiiZkn5/uxSKnn322Ss+P3Xq1NK+pVcgFAHwuF9+kV59VZo7V0pPN2MhIdJjj5nm6fr17a2vnDidZk3JC2eILuRwmF89OZlLabi6cl3ReuXKlUV+zsnJUXJysgICAtSkSROfDUUAvJ/X9KccPCglJEivvy6dOWPG6teXxo2TRowwwciHbd5cfCCSzOxRSoo57vbbPVYWfJxLoSi/4fpCmZmZGjZsmO67774yFwUA5cEr+lO2bzf9QitWmAQnSW3bmvWFHnzQrDdUCaSlufc4oCRcWtH6ckJCQvTMM89oypQp7npLAHCb/P6Ui2cfUlPNeGKiPXVJMs3Tn3wi3Xmn1KGDtGyZCUR33SX9+9/Szp3Sww9XmkAkmVk8dx4HlITbQpEkZWRkKCMjw51vCQBl5nSaGaLLdVDmj40bVzgx4zHZ2WZj1tatpV69pI0bTfP04MHSrl0mEN11l0/dTVZSMTFmFq+4X93hkKKizHGAu7h0+Wzu3LlFfrYsS2lpaXr77bfVs2dPtxQGAO5S4fpTTp0qbJ7Ov/5To4Y0cqRJb1FRHiiiYvP3N5c1+/c3AejCQJsflBISKmg/GLyWS6Fo9uzZRX728/NT7dq1NXToUE2ePNkthQGAu1SY/pRDh8w3+cKF0unTZqxuXROEHnvMbMmBAv36mdvuL9cHlpBQgfrA4DNcCkXJycmSpOPHj8vhcCg8PNytRQGAO9nen7Jzp2meXr688Bpdq1ZmfaGBA6ULdgdAUf36SX36eMkdg/B6pe4pOnXqlEaNGqXw8HBFRkYqIiJC4eHhGj16tE6dOlUOJQJA2djSn2JZ0qefSrGx0i23SEuXmkB0553S6tXSt99KQ4cSiErA399c1hw40PwngQjlpVQzRSdPnlSnTp2UmpqqQYMG6aabbpIkff/991q8eLHWr1+vr776SjVr1iyXYgHAFR7tTzl/3tw9NnOmCT75BTzwgJkZuuUWN3wIgPJQqhWtx40bp/Xr12vdunWKiIgo8lx6erq6deumrl27XtJz5CtY0Rrwbpdbpygqyk39KRkZplcoIcHc5y9J1aqZhRbHjjXLMwOwRbls89GwYUO99tpr6t69+2WfX7NmjR5//HEdPHiw1AV7A0IR4P3cvqL14cNmGmrBAikz04xFRpotOB5/XGLmHLBduWzzkZaWppYtWxb7fKtWrZSevzcPAFRA+f0pZfbtt6Z5+r33pNxcM3bTTeYS2aBBUlCQGz4EgCeVKhSFh4fr4MGDql/MBoTJycmqVauWWwoDgArHsqT166UXXzQLK+a7/XYThnr2lPzcuiYuAA8q1d/e7t276y9/+YvOnz9/yXPZ2dmaMmWKevTo4bbiAKBCyMmR3n3XNEnnb73h5ycNGCBt22ZWou7Vi0AEeLlS9RQdPnxYHTp0UFBQkEaNGqXmzZvLsizt3btXL7/8srKzs/XNN98oykdXY6WnCKhkMjPNLvUJCWbJa0m65hopLk4aP15q1MjW8gCUTLn0FNWvX19JSUl64oknNHnyZOXnKYfDobvuukvz5s3z2UAEoBJJTTVbcLz2mrmrTJIiIqQxY6Q//EGiTQDwSaVe0bpRo0ZavXq1fvnlF/3www+SpBtuuIFeIgDeb88e0zy9dKm5ZCZJzZqZfqHBg6XgYHvrA1CuXNrmQ5Jq1qypjh07urMWAPA8y5I2bTLN06tXF47HxEh//CO9QkAl4nIoAgCvlptrdht98UVpxw4z5udnVnGcOFGKjra3PgAeRygCULmcPi0tWiTNni39979mrGpV6ZFHpHHjpBtusLU8APYhFAGoHNLSpJdekl55RcrfvLp2bWn0aOmJJ6TwcFvLA2A/QhEA37Z3r9mc9e23zWatktS0qTRhgjRkiJklAgARigD4IsuSPv/c3En20UeF4507m+bp3r1pngZwCUIRAN+RmyslJpowtG2bGXM4pL59TfN05862lgegYiMUAfB+Z85Ib74pzZolJSebseBgadgwKT7eXC4DgKsgFAHwXkePmubpl1+WfvnFjF17bWHzdJ069tYHwKsQigB4n/37TfP0kiVSdrYZa9LENE8PHWr2JwOAUiIUAfAOliV9+aVZbPHDDwvHo6NN83TfvpK/v23lAfB+hCIAFZvTKf3znyYMff114Xjv3qZ5+re/Nc3UAFBGhCIAFdPZs9LixaZ5+sABMxYUZNYWio+Xmje3tTwAvodQBKBiOX5cmj/fPE6cMGO1akl/+IM0ZowUEWFvfQB8FqEIQMXwww+mefqtt6Rz58xYo0ZmVmj4cKlaNXvrA+DzCEUA7PXVV2axxVWrTDO1JN16q2mevu8+KYB/pgB4Bv/aAPA8p9PcQTZjhglF+e65x4ShmBiapwF4HKEIgOf8+qtZW2jmTHO5TJICA6XBg80aQy1a2FsfgEqNUASg/J04YVadnjfPNFJLUlhYYfP0ddfZWh4ASIQiAOXpwAFzS/2bb5pZIkm6/npp/HgpLk6qXt3e+gDgAoQiAO63ZYtZbDExsbB5+pZbzGKLv/89zdMAKiT+ZQLgHnl50kcfmebpzZsLx3v2NGHojjtongZQoRGKAJTNuXPSO++Y5ul9+8xYlSrSQw+ZMNSqlb31AUAJEYoAuObkSemVV6SXXpKOHjVjISHS449LTz4p1atnb30AUEqEIgClk5wszZ4tLVpk9ieTpKgoadw46dFHTTACAC9EKAJQMt98Y5qnP/jA9A9JUtu2ZrHFBx4wl8wAwIsRigAULy9PWr3ahKHPPisc797d9At17UrzNACfQSgCcKnsbOndd82dZHv3mrGAAGngQBOG2rSxtz4AKAeEIgCFfvlFeu01ae5cKS3NjNWoIY0cKY0da3qHAMBHEYoASP/9r5SQIL3+unT6tBmrV88EoZEjpdBQW8sDAE8gFAGV2c6dpl/o/ffNzvWS1Lq1uUT24INms1YAqCQIRUBlY1nSp5+afqH16wvHu3Y1d5J160bzNIBKiVAEVBbnz0vvvWfC0J49Zszf38wITZgg3XyzvfUBgM0IRYCvO3VKWrBAmjNHOnLEjFWvLo0YYRZcbNDAzuoAoMIgFAG+KiXFNE8vXChlZZmx664zzdOPPSaFhdlZHQBUOIQiwAOcTrNxfFqaySUxMebKVbn4z39M8/Ty5VJurhlr2dI0Tz/0EM3TAFAMP7sLcMXJkyc1aNAghYSEKCwsTHFxcTqdfxtxMcePGTNGzZo1U9WqVdWgQQM9+eSTysjI8GDVqKwSE6WGDaU77jCZ5I47zM+JiW78EMuS1q41TdLt2pmFF3NzzYd9/LG0e7c0bBiBCACuwCtD0aBBg/Tdd99p7dq1+uijj/T5559r5MiRxR5/5MgRHTlyRDNmzNCePXu0ePFirVmzRnFxcR6sGpVRYqLUv790+HDR8dRUM17mYJSTI73zjmmS7tbNBKP85ult26QNG6S77+ZuMgAoAYdlWZbdRZTG3r171aJFC23btk0dOnSQJK1Zs0Z33323Dh8+rLp165bofVasWKHBgwfrzJkzCggo2VXEzMxMhYaGKiMjQyHsBI6rcDrNjNDFgSifwyHVr282nS/1pbTMTNMrlJBQ+AHVqpld6seNMx8MAJBU8u9vr5spSkpKUlhYWEEgkqTY2Fj5+flpy5YtJX6f/D+YKwWi7OxsZWZmFnkAJbV5c/GBSDJXvFJSzHEllpoqPfWU2W5j4kTzAZGR0vPPS4cOmZBEIAIAl3hdo3V6errq1KlTZCwgIEC1atVSenp6id7jxIkTeu655654yU2Spk+frmeeecblWlG55W8d5pbjdu826wstXVrYPN28uQlGgwdLQUEu1wkAMCrMTNGkSZPkcDiu+Ni3b1+ZPyczM1O9evVSixYt9PTTT1/x2MmTJysjI6PgkZKSUubPR+Vx3XVlPM6yTE9Qz55mV/olS0wg+t3vpH/9S/ruOykujkAEAG5SYWaKJkyYoGHDhl3xmMaNGysyMlLHjh0rMp6bm6uTJ08qMjLyiq/PyspSjx49VKNGDa1cuVJVqlS54vFBQUEK4gsHLoqJMT1Dqakm31wsv6coJuaiJ3JypBUrzMzQzp1mzM9P6tfPbMPRsWO51w4AlVGFCUW1a9dW7dq1r3pcp06ddOrUKW3fvl3t27eXJG3YsEF5eXmKjo4u9nWZmZnq3r27goKC9OGHHyo4ONhttQOX4+9vFpHu398EoAuDUf7NYAkJFzRZZ2VJixZJs2eb/iBJqlrVzAaNGyc1aeLB6gGg8qkwl89K6qabblKPHj00YsQIbd26VV9++aVGjx6tBx98sODOs9TUVDVv3lxbt26VZAJRt27ddObMGS1atEiZmZlKT09Xenq6nPk7gwPloF8/6YMPpHr1io7Xr2/G+/WT2Xpj0iTTPD1+vAlEdepIzz1nOrFfeolABAAeUGFmikrj3Xff1ejRo9W1a1f5+fnp/vvv19y5cwuez8nJ0f79+3X27FlJ0o4dOwruTLvhhhuKvFdycrIacrcOylG/flKfPpdZ0Xrfd9IjM806Qzk55uAbbzTN0w8/LDGbCQAe5XXrFNmJdYpQZpYlffaZ2Ybjk08Kx3/zG9MvdO+9pn8IAOA2Jf3+9sqZIsDr5OZK//iHaZ7+5hsz5nBI991nZoY6dbK3PgAAoQgoV6dPS2++aZqnk5PNWHCwNHy46R9q2tTe+gAABQhFQHlIT5fmzZNefln65RczFh4ujRplHiW40xIA4FmEIsCd9u6VZs2S3n5bys42YzfcIE2YIA0ZIl1zjb31AQCKRSgCysqyzK1lM2aYlabzdepkmqd793Zhx1cAgKcRigBXOZ1SYqIJQ/9bE0sOh7n/fuJEc0cZAMBrEIqA0jp71jRPz5ol/fSTGQsKkoYOleLjpWbN7K0PAOASQhFQUseOFTZP//yzGatVq7B5OiLC3voAAGVCKAKu5v/+z8wKvfWWdO6cGWvc2MwKDRsmVatma3kAAPcgFAHF+fJL0y/0z38W7ubasaNpnr7vPpqnAcDHEIqACzmd0ocfmm04kpIKx++91zRPx8QUbnHvhZzOy+zBRrYDAEmEIsD49VdzeWzWLOmHH8xYYKDZmHXCBOmmm+ytzw0SE6WxY6XDhwvH6teX5swxm9YCQGVHKELlduKENH++eRw/bsZq1pT+8AdpzBgpMtLe+twkMVHq37/wKmC+1FQz/sEHBCMAcFjWxf9Mojgl3WUXXuDHH82s0OLFZpZIkho2NPuRPfKIVL26ndW5ldNpfrULZ4gu5HCYGaPkZC6lAfBNJf3+ZqYIlcvXX5t+oZUrC6dN2rc3zdP33y8F+N5fic2biw9EkvljSEkxx91+u8fKAoAKx/e+AYCL5eWZ7TdefNHcUZbv7rtNGOrSxaubp68mLc29xwGAryIUwXedOyctWSLNnGnWGpKkKlWkwYNN83TLlvbW5yHXXefe4wDAVxGK4Ht+/tmsOj1vnlmFWpJCQwubp+vWtbc+D4uJMT1DqamXNlpLhT1FMTGerw0AKhJCEXxHcrJpnn7jDbM/mSQ1aCCNGyc9+qhUo4at5dnF39/cdt+/vwlAFwaj/KuGCQk0WQOAn90FAGW2bZs0YIB0ww1mdujsWaldO+ndd81dZuPHV9pAlK9fP3Pbfb16Rcfr1+d2fADIx0wRvFNenvTJJ6Z5+vPPC8e7dzfN03fe6dPN067o10/q04cVrQGgOIQieJfsbOmdd0zz9N69ZiwgQHroIbMNR+vW9tZXwfn7c9s9ABSHUATv8Msv0iuvSHPnSkePmrGQEOnxx03zdP369tYHAPB6hCJUbAcPSrNnS4sWSWfOmLH69U3z9IgRJhgBAOAGhCJUTNu3m36hFStM/5AktWlj+oUGDDDrDQEA4EaEIlQcliWtWWPC0MaNheN33WX6he66i+ZpAEC5IRTBftnZ0nvvSTNmSN99Z8YCAqQHHzQrT7drZ2t5AIDKgVAE+5w6Jb32mllZMH/jrerVpZEjTc9QVJSd1QEAKhlCETzv0CGzhPLChdLp02asbl1p7FgTiMLC7KwOAFBJEYrgObt2mX6h5cslp9OMtWxp+oUeekgKDLS1PABA5UYoQvmyLGntWhOG1q0rHL/zThOGevSgeRoAUCEQilA+zp83M0IzZkjffmvG/P2lBx4wzdPt29tbHwAAFyEUwb0yMkyvUEKClJpqxqpVMwstjh0rNWxoZ3UAABSLUAT3OHzY3EX22mtSVpYZi4w0Qeixx6SaNe2tDwCAqyAUoWy+/dZcInvvPSk314y1aGEukQ0aJAUF2VsfAAAlRChC6VmWtH69aZ7+978Lx7t0Mdtw9Owp+fnZVx8AAC4gFKHkcnKk9983M0O7dpkxPz+pf39zJ9mtt9paHgAAZUEowtVlZRU2T6ekmLFrrpHi4qTx46VGjWwtDwAAdyAUoXhHjhQ2T2dkmLE6daQnn5Qef1y69lp76wMAwI0IRbjUnj3SzJnSu++aS2aS1KyZuUQ2eLAUHGxvfQAAlANCEQzLkjZuNP1Cq1cXjsfEmObpXr1ongYA+DRCUWWXmyt98IG5k2zHDjPm5yf162dmhqKj7a0PAAAPIRRVVqdPS4sWSbNnS//9rxmrWlUaPlyKj5eaNLG3PgAAPIxQVNmkp0tz50qvvCKdOmXGateWRo0yj/BwW8sDAMAuhKLKYu9e0y/0zjtms1ZJatrUrDw9ZIiZJQIAoBIjFPkyy5I+/9yEoY8+Khzv3Nk0T/fuTfM0AAD/QyjyRbm5UmKiCUPbtpkxh0Pq29c0T3fubGt5AABURIQiX3LmjPTmm9KsWVJyshkLDpaGDjXN0zfeaG99AABUYIQiX3D0qDRvnvTyy9LJk2bs2msLm6fr1LG3PgAAvAChyJvt329Wnl6yRMrONmNNmphZoWHDzP5kAACgRAhF3saypC+/NIstfvhh4Xh0tGme7ttX8ve3rTwAALwVochbOJ3SqlWmefrrrwvHe/c2Yeg3vzHN1AAAwCWEooru7Flp8WLTPH3ggBkLCjJrC02YYDZqBQAAZUYoqqiOH5fmzzePEyfMWM2apnF69GgpIsLe+gAA8DGEoormhx/MrNDixdK5c2asYUPTPP3II1K1anZWBwCAzyIUVRRJSaZ5etUq00wtSR06mH6hfv2kAE4VAADliW9aOzmd0r/+ZcLQV18VjvfqZcLQ735H8zQAAB5CKLLDr7+atYVmzjSXyyQpMFAaPNg0T7doYW99AABUQoQiTzpxwqw6PW+eaaSWpLAw6Q9/kMaMka67ztbyAACozAhFnnDggGmefvNNM0skSddfL40fL8XFSdWr21sfAAAgFJWrLVtMv1BiYmHz9M03m36h3/+e5mkAACoQvpXdLS9P+ugjs/L05s2F4z17ShMnSnfcQfM0AAAVEKHIXc6dk95+2zRP799vxqpUkQYNMs3TrVrZWx8AALgiP7sLcMXJkyc1aNAghYSEKCwsTHFxcTp9+nSJXmtZlnr27CmHw6FVq1a5oxjpr381CyyOHGkCUUiI9NRTUnKy6SMiEAEAUOF55UzRoEGDlJaWprVr1yonJ0fDhw/XyJEjtXTp0qu+NiEhQQ53XL5KTpZmz5YWLTL7k0lSVJQ0bpz06KMmGAEAAK/hdaFo7969WrNmjbZt26YOHTpIkl566SXdfffdmjFjhurWrVvsa3ft2qWZM2fqm2++0XVluf192DDpn/80/UOS1LataZ5+4AFzyQwAAHgdr7t8lpSUpLCwsIJAJEmxsbHy8/PTli1bin3d2bNn9dBDD2n+/PmKjIws0WdlZ2crMzOzyEOStHKlCUTduklr10o7d5reIQIRAABey+tCUXp6uurUqVNkLCAgQLVq1VJ6enqxrxs/frw6d+6sPn36lPizpk+frtDQ0IJHVFSUeWLAAOk//5E+/VSKjeVuMgAAfECFCUWTJk2Sw+G44mPfvn0uvfeHH36oDRs2KCEhoVSvmzx5sjIyMgoeKSkp5okFC6Q2bVyqBQAAVEwVpqdowoQJGjZs2BWPady4sSIjI3Xs2LEi47m5uTp58mSxl8U2bNigAwcOKCwsrMj4/fffr5iYGG3atOmyrwsKClJQUFBJfwUAAODFKkwoql27tmrXrn3V4zp16qRTp05p+/btat++vSQTevLy8hQdHX3Z10yaNEmPPvpokbHWrVtr9uzZuvfee8tePAAA8HoVJhSV1E033aQePXpoxIgRevXVV5WTk6PRo0frwQcfLLjzLDU1VV27dtWSJUvUsWNHRUZGXnYWqUGDBmrUqJGnfwUAAFABVZieotJ499131bx5c3Xt2lV33323fvvb32rBggUFz+fk5Gj//v06m79+EAAAwFU4LCt/p1JcTWZmpkJDQ5WRkaEQFmcEAMArlPT72ytnigAAANyNUAQAACBCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCQpwO4CvIllWZKkzMxMmysBAAAllf+9nf89XhxCUSlkZWVJkqKiomyuBAAAlFZWVpZCQ0OLfd5hXS02oUBeXp6OHDmiGjVqyOFw2F2OSzIzMxUVFaWUlBSFhITYXU6lx/moODgXFQfnouLwlXNhWZaysrJUt25d+fkV3znETFEp+Pn5qX79+naX4RYhISFe/T9wX8P5qDg4FxUH56Li8IVzcaUZonw0WgMAAIhQBAAAIIlQVOkEBQVp2rRpCgoKsrsUiPNRkXAuKg7ORcVR2c4FjdYAAABipggAAEASoQgAAEASoQgAAEASoQgAAEASoahSOHnypAYNGqSQkBCFhYUpLi5Op0+fLtFrLctSz5495XA4tGrVqvIttBIo7bk4efKkxowZo2bNmqlq1apq0KCBnnzySWVkZHiwat8xf/58NWzYUMHBwYqOjtbWrVuvePyKFSvUvHlzBQcHq3Xr1vrkk088VKnvK825WLhwoWJiYlSzZk3VrFlTsbGxVz13KLnS/r3It2zZMjkcDvXt27d8C/QgQlElMGjQIH333Xdau3atPvroI33++ecaOXJkiV6bkJDgtVuaVESlPRdHjhzRkSNHNGPGDO3Zs0eLFy/WmjVrFBcX58GqfcPy5csVHx+vadOmaceOHWrbtq26d++uY8eOXfb4r776SgMHDlRcXJx27typvn37qm/fvtqzZ4+HK/c9pT0XmzZt0sCBA7Vx40YlJSUpKipK3bp1U2pqqocr9z2lPRf5Dh48qIkTJyomJsZDlXqIBZ/2/fffW5Ksbdu2FYytXr3acjgcVmpq6hVfu3PnTqtevXpWWlqaJclauXJlOVfr28pyLi70/vvvW4GBgVZOTk55lOmzOnbsaI0aNargZ6fTadWtW9eaPn36ZY9/4IEHrF69ehUZi46Oth577LFyrbMyKO25uFhubq5Vo0YN66233iqvEisNV85Fbm6u1blzZ+v111+3hg4davXp08cDlXoGM0U+LikpSWFhYerQoUPBWGxsrPz8/LRly5ZiX3f27Fk99NBDmj9/viIjIz1Rqs9z9VxcLCMjQyEhIQoIYOvCkjp//ry2b9+u2NjYgjE/Pz/FxsYqKSnpsq9JSkoqcrwkde/evdjjUTKunIuLnT17Vjk5OapVq1Z5lVkpuHounn32WdWpU8cnZ6z5V9XHpaenq06dOkXGAgICVKtWLaWnpxf7uvHjx6tz587q06dPeZdYabh6Li504sQJPffccyW+/AnjxIkTcjqdioiIKDIeERGhffv2XfY16enplz2+pOcKl+fKubjYn/70J9WtW/eS0IrSceVcfPHFF1q0aJF27drlgQo9j5kiLzVp0iQ5HI4rPkr6D8zFPvzwQ23YsEEJCQnuLdpHlee5uFBmZqZ69eqlFi1a6Omnny574YAXeuGFF7Rs2TKtXLlSwcHBdpdTqWRlZenhhx/WwoULFR4ebnc55YKZIi81YcIEDRs27IrHNG7cWJGRkZc0zOXm5urkyZPFXhbbsGGDDhw4oLCwsCLj999/v2JiYrRp06YyVO57yvNc5MvKylKPHj1Uo0YNrVy5UlWqVClr2ZVKeHi4/P39dfTo0SLjR48eLfbPPjIyslTHo2RcORf5ZsyYoRdeeEHr1q1TmzZtyrPMSqG05+LAgQM6ePCg7r333oKxvLw8SWbWe//+/WrSpEn5Fl3e7G5qQvnKb+795ptvCsY+/fTTKzb3pqWlWbt37y7ykGTNmTPH+umnnzxVus9x5VxYlmVlZGRYt912m9WlSxfrzJkznijVJ3Xs2NEaPXp0wc9Op9OqV6/eFRut77nnniJjnTp1otHaDUp7LizLsv72t79ZISEhVlJSkidKrDRKcy5+/fXXS74b+vTpY915553W7t27rezsbE+WXi4IRZVAjx49rJtvvtnasmWL9cUXX1hNmza1Bg4cWPD84cOHrWbNmllbtmwp9j3E3WduUdpzkZGRYUVHR1utW7e2fvzxRystLa3gkZuba9ev4ZWWLVtmBQUFWYsXL7a+//57a+TIkVZYWJiVnp5uWZZlPfzww9akSZMKjv/yyy+tgIAAa8aMGdbevXutadOmWVWqVLF2795t16/gM0p7Ll544QUrMDDQ+uCDD4r8HcjKyrLrV/AZpT0XF/O1u88IRZXAzz//bA0cONCqXr26FRISYg0fPrzIPybJycmWJGvjxo3FvgehyD1Key42btxoSbrsIzk52Z5fwou99NJLVoMGDazAwECrY8eO1tdff13wXJcuXayhQ4cWOf7999+3brzxRiswMNBq2bKl9fHHH3u4Yt9VmnNx/fXXX/bvwLRp0zxfuA8q7d+LC/laKHJYlmV5+pIdAABARcPdZwAAACIUAQAASCIUAQAASCIUAQAASCIUAQAASCIUAQAASCIUAQAASCIUAQAASCIUAQAASCIUAQAASCIUAfACw4YNU9++fT3+ubfffrvGjRvn8c8FYA9CEQAAgAhFALzQ7bffrieffFJPPfWUatWqpcjISD399NNFnh89erRGjx6t0NBQhYeHa8qUKbpw/+uGDRsqISGhyPu2a9eu4H2GDRumzz77THPmzJHD4ZDD4dDBgwdLVN97772nqlWrKi0trWBs+PDhatOmjTIyMlz9tQGUM0IRAK/01ltvqVq1atqyZYv+/ve/69lnn9XatWuLPB8QEKCtW7dqzpw5mjVrll5//fUSv/+cOXPUqVMnjRgxQmlpaUpLS1NUVFSJXvvggw/qxhtv1PPPPy9JmjZtmtatW6fVq1crNDS0dL8oAI8JsLsAAHBFmzZtNG3aNElS06ZNNW/ePK1fv1533XWXJCkqKkqzZ8+Ww+FQs2bNtHv3bs2ePVsjRowo0fuHhoYqMDBQ11xzjSIjI0tVm8Ph0F//+lf1799fkZGReumll7R582bVq1evdL8kAI9ipgiAV2rTpk2Rn6+77jodO3as4OfbbrtNDoej4OdOnTrphx9+kNPp9Eh999xzj1q0aKFnn31WK1euVMuWLT3yuQBcRygC4JWqVKlS5GeHw6G8vLwSv97Pz69Ij5Ek5eTkuKU2SVqzZo327dsnp9OpiIgIt70vgPJDKALgk7Zs2VLk56+//lpNmzaVv7+/JKl27dpFGqEzMzOVnJxc5DWBgYEuzSzt2LFDDzzwgBYtWqSuXbtqypQpLvwGADyNniIAPunQoUOKj4/XY489ph07duill17SzJkzC56/8847tXjxYt17770KCwvT1KlTCwJTvoYNG2rLli06ePCgqlevrlq1asnP78r/X/LgwYPq1auX/vznP2vgwIFq3LixOnXqpB07duiWW24pl98VgHswUwTAJw0ZMkS//vqrOnbsqFGjRmns2LEaOXJkwfOTJ09Wly5ddM8996hXr17q27evmjRpUuQ9Jk6cKH9/f7Vo0UK1a9fWoUOHtHjx4iK9Shc6efKkevTooT59+mjSpEmSpOjoaPXs2VN//vOfy++XBeAWDuvii+oA4OVuv/12tWvX7pJ1iNxh2rRp+uyzz7Rp0ya3vzcAe3H5DABKYfXq1Zo3b57dZQAoB4QiACiFrVu32l0CgHLC5TMAAADRaA0AACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACCJUAQAACBJ+v9W69thb/L0hAAAAABJRU5ErkJggg==\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# MAP Solution" + ], + "metadata": { + "id": "H_gN0Gbogc-Y" + } + }, + { + "cell_type": "code", + "source": [ + "# Helper function to draw 2D Gaussian\n", + "def draw_gaussian_prior(mean, covariance, title, n_contour, filename=None):\n", + " # Define pretty colormap\n", + " my_colormap_vals_hex =('2a0902', '2b0a03', '2c0b04', '2d0c05', '2e0c06', '2f0d07', '300d08', '310e09', '320f0a', '330f0b', '34100b', '35110c', '36110d', '37120e', '38120f', '39130f', '3a1410', '3b1411', '3c1511', '3d1612', '3e1613', '3f1713', '401714', '411814', '421915', '431915', '451a16', '461b16', '471b17', '481c17', '491d18', '4a1d18', '4b1e19', '4c1f19', '4d1f1a', '4e201b', '50211b', '51211c', '52221c', '53231d', '54231d', '55241e', '56251e', '57261f', '58261f', '592720', '5b2821', '5c2821', '5d2922', '5e2a22', '5f2b23', '602b23', '612c24', '622d25', '632e25', '652e26', '662f26', '673027', '683027', '693128', '6a3229', '6b3329', '6c342a', '6d342a', '6f352b', '70362c', '71372c', '72372d', '73382e', '74392e', '753a2f', '763a2f', '773b30', '783c31', '7a3d31', '7b3e32', '7c3e33', '7d3f33', '7e4034', '7f4134', '804235', '814236', '824336', '834437', '854538', '864638', '874739', '88473a', '89483a', '8a493b', '8b4a3c', '8c4b3c', '8d4c3d', '8e4c3e', '8f4d3f', '904e3f', '924f40', '935041', '945141', '955242', '965343', '975343', '985444', '995545', '9a5646', '9b5746', '9c5847', '9d5948', '9e5a49', '9f5a49', 'a05b4a', 'a15c4b', 'a35d4b', 'a45e4c', 'a55f4d', 'a6604e', 'a7614e', 'a8624f', 'a96350', 'aa6451', 'ab6552', 'ac6552', 'ad6653', 'ae6754', 'af6855', 'b06955', 'b16a56', 'b26b57', 'b36c58', 'b46d59', 'b56e59', 'b66f5a', 'b7705b', 'b8715c', 'b9725d', 'ba735d', 'bb745e', 'bc755f', 'bd7660', 'be7761', 'bf7862', 'c07962', 'c17a63', 'c27b64', 'c27c65', 'c37d66', 'c47e67', 'c57f68', 'c68068', 'c78169', 'c8826a', 'c9836b', 'ca846c', 'cb856d', 'cc866e', 'cd876f', 'ce886f', 'ce8970', 'cf8a71', 'd08b72', 'd18c73', 'd28d74', 'd38e75', 'd48f76', 'd59077', 'd59178', 'd69279', 'd7937a', 'd8957b', 'd9967b', 'da977c', 'da987d', 'db997e', 'dc9a7f', 'dd9b80', 'de9c81', 'de9d82', 'df9e83', 'e09f84', 'e1a185', 'e2a286', 'e2a387', 'e3a488', 'e4a589', 'e5a68a', 'e5a78b', 'e6a88c', 'e7aa8d', 'e7ab8e', 'e8ac8f', 'e9ad90', 'eaae91', 'eaaf92', 'ebb093', 'ecb295', 'ecb396', 'edb497', 'eeb598', 'eeb699', 'efb79a', 'efb99b', 'f0ba9c', 'f1bb9d', 'f1bc9e', 'f2bd9f', 'f2bfa1', 'f3c0a2', 'f3c1a3', 'f4c2a4', 'f5c3a5', 'f5c5a6', 'f6c6a7', 'f6c7a8', 'f7c8aa', 'f7c9ab', 'f8cbac', 'f8ccad', 'f8cdae', 'f9ceb0', 'f9d0b1', 'fad1b2', 'fad2b3', 'fbd3b4', 'fbd5b6', 'fbd6b7', 'fcd7b8', 'fcd8b9', 'fcdaba', 'fddbbc', 'fddcbd', 'fddebe', 'fddfbf', 'fee0c1', 'fee1c2', 'fee3c3', 'fee4c5', 'ffe5c6', 'ffe7c7', 'ffe8c9', 'ffe9ca', 'ffebcb', 'ffeccd', 'ffedce', 'ffefcf', 'fff0d1', 'fff2d2', 'fff3d3', 'fff4d5', 'fff6d6', 'fff7d8', 'fff8d9', 'fffada', 'fffbdc', 'fffcdd', 'fffedf', 'ffffe0')\n", + " my_colormap_vals_dec = np.array([int(element,base=16) for element in my_colormap_vals_hex])\n", + " r = np.floor(my_colormap_vals_dec/(256*256))\n", + " g = np.floor((my_colormap_vals_dec - r *256 *256)/256)\n", + " b = np.floor(my_colormap_vals_dec - r * 256 *256 - g * 256)\n", + " my_colormap = ListedColormap(np.vstack((r,g,b)).transpose()/255.0)\n", + "\n", + " # Make grid of intercept/slope values to plot\n", + " intercepts_mesh, slopes_mesh = np.meshgrid(np.arange(-1.0,1.0,0.005), np.arange(-1.0,1.0,0.005))\n", + " slopes_intercepts = np.dstack((slopes_mesh, intercepts_mesh))\n", + " # Evaluate pdf for every set of parameters\n", + " distribution = multivariate_normal(np.squeeze(mean), covariance)\n", + " prob_mesh = distribution.pdf(slopes_intercepts)\n", + "\n", + " fig,ax = plt.subplots()\n", + " fig.set_size_inches(8,8)\n", + " ax.contourf(slopes_mesh,intercepts_mesh,prob_mesh,256,cmap=my_colormap)\n", + " ax.contour(slopes_mesh,intercepts_mesh,prob_mesh,n_contour,colors=['#80808080'])\n", + " ax.set_xlim([-1,1])\n", + " ax.set_ylim([-1,1])\n", + " ax.set_xlabel('Slope, $\\phi_0$')\n", + " ax.set_ylabel('Intercept, $\\phi_1$')\n", + " ax.set_title(title)\n", + "\n", + " if filename is not None:\n", + " plt.savefile(filename,format='svg')\n", + " plt.show()" + ], + "metadata": { + "id": "mPAqJ0YFjyG3" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Define a prior over the parameters and draw the prior\n", + "sigma_sq_p = 0.4\n", + "sigma_sq_n = 0.005\n", + "prior_mean = np.zeros((2,1))\n", + "prior_cov = sigma_sq_p * np.identity(2)\n", + "draw_gaussian_prior(prior_mean, prior_cov, title='Prior $Pr(\\phi)$',n_contour = 10)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 724 + }, + "id": "obwwLhN3eRun", + "outputId": "593ab44e-b9fd-4107-f81a-f79b71940f7e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Draw some samples from the prior\n", + "np.random.seed(9)\n", + "slopes, intercepts = np.random.multivariate_normal(np.squeeze(prior_mean), prior_cov, 5).T\n", + "\n", + "# Create x data for plotting line\n", + "x_plot = np.atleast_2d(np.arange(-0.5,0.5, 0.01))\n", + "x_plot = np.concatenate([x_plot, np.ones_like(x_plot)],axis=0)\n", + "\n", + "fig,ax = plt.subplots()\n", + "ax.plot(X[0,:],y,'bo')\n", + "for i in range(slopes.shape[0]):\n", + " y_plot = x_plot.transpose() @ np.array([[slopes[i]], [intercepts[i]]])\n", + " ax.plot(x_plot[0,:], y_plot, 'r-')\n", + "\n", + "ax.set_xlim(-0.5,0.5)\n", + "ax.set_ylim(-0.5, 0.5)\n", + "ax.set_xlabel('Input, $x$')\n", + "ax.set_ylabel('Output, $y$')\n", + "plt.show()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "Qm4uaAH9-yqE", + "outputId": "2b003378-2604-4014-f77c-d560d6aad5ed" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Find parameters for maximum likelihood solution\n", + "phi_map = np.linalg.inv(X @ X.transpose()+(sigma_sq_n / sigma_sq_p)*np.identity(2))@X@y" + ], + "metadata": { + "id": "r_0b8SZhoh0O" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Create x data for plotting line\n", + "x_plot = np.atleast_2d(np.arange(-0.5,0.5, 0.01))\n", + "x_plot = np.concatenate([x_plot, np.ones_like(x_plot)],axis=0)\n", + "# Run models\n", + "y_plot_ml = x_plot.transpose()@phi_ml\n", + "y_plot_map = x_plot.transpose()@phi_map\n", + "\n", + "fig,ax = plt.subplots()\n", + "ax.plot(X[0,:],y,'bo')\n", + "ax.plot(x_plot[0,:], y_plot_ml, 'r-', label='ML')\n", + "ax.plot(x_plot[0,:], y_plot_map, 'g-', label='MAP')\n", + "ax.set_xlim(-0.5,0.5)\n", + "ax.set_ylim(-0.5, 0.5)\n", + "ax.set_xlabel('Input, $x$')\n", + "ax.set_ylabel('Output, $y$')\n", + "ax.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "d0UvkrKkxAJ0", + "outputId": "e4a9ef3c-b4c4-4af9-86a6-c259ec732738" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# Bayesian approach" + ], + "metadata": { + "id": "kwoM3SCeygPG" + } + }, + { + "cell_type": "code", + "source": [ + "# Compute posterior distribution over parameters\n", + "post_mean = np.linalg.inv(X @ X.transpose()+(sigma_sq_n / sigma_sq_p)*np.identity(2))@X@y\n", + "post_cov = sigma_sq_n * np.linalg.inv(X @ X.transpose()+(sigma_sq_n / sigma_sq_p)*np.identity(2))\n", + "draw_gaussian_prior(post_mean, post_cov, title='Posterior $Pr(\\phi|\\mathbf{X},\\mathbf{y})$', n_contour=5)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 724 + }, + "id": "6LZ5kJjkxsmi", + "outputId": "5c8909f3-6f6e-4f23-abf4-f4e7214d3350" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Draw some samples from the posterior\n", + "np.random.seed(9)\n", + "slopes, intercepts = np.random.multivariate_normal(np.squeeze(post_mean), post_cov, 5).T\n", + "\n", + "# Create x data for plotting line\n", + "x_plot = np.atleast_2d(np.arange(-0.5,0.5, 0.01))\n", + "x_plot = np.concatenate([x_plot, np.ones_like(x_plot)],axis=0)\n", + "\n", + "fig,ax = plt.subplots()\n", + "ax.plot(X[0,:],y,'bo')\n", + "for i in range(slopes.shape[0]):\n", + " y_plot = x_plot.transpose() @ np.array([[slopes[i]], [intercepts[i]]])\n", + " ax.plot(x_plot[0,:], y_plot, 'r-')\n", + "\n", + "ax.set_xlim(-0.5,0.5)\n", + "ax.set_ylim(-0.5, 0.5)\n", + "ax.set_xlabel('Input, $x$')\n", + "ax.set_ylabel('Output, $y$')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "SW3ocOwnDGHg", + "outputId": "56270a37-9390-424e-c51e-2fff9809b947" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Create x data for plotting line\n", + "x_plot = np.atleast_2d(np.arange(-0.5,0.5, 0.01))\n", + "x_plot = np.concatenate([x_plot, np.ones_like(x_plot)],axis=0)\n", + "# Run models\n", + "# Make predictions for mean and variance\n", + "inv_term = np.linalg.inv(X @ X.transpose()+(sigma_sq_n / sigma_sq_p)*np.identity(2))\n", + "y_plot_bayes = x_plot.transpose() @ inv_term @ X @ y\n", + "y_plot_var = np.zeros_like(y_plot_bayes)\n", + "for i in range(x_plot.shape[1]):\n", + " y_plot_var[i] = sigma_sq_n * x_plot[:,i] @ inv_term @ x_plot[:,i]\n", + "\n", + "fig,ax = plt.subplots()\n", + "ax.plot(X[0,:],y,'bo')\n", + "ax.plot(x_plot[0,:], y_plot_bayes, 'm-')\n", + "ax.fill_between(x_plot[0,:], y_plot_bayes-2*np.sqrt(y_plot_var), y_plot_bayes+2*np.sqrt(y_plot_var), color='lightgray')\n", + "ax.set_xlim(-0.5,0.5)\n", + "ax.set_ylim(-0.5, 0.5)\n", + "ax.set_xlabel('Input, $x$')\n", + "ax.set_ylabel('Output, $y$')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "LftzsFaevj6L", + "outputId": "15a11946-c4a2-4d26-878d-efb8b6d7eb26" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Create x data for plotting line\n", + "x_plot = np.atleast_2d(np.arange(-0.5,0.5, 0.01))\n", + "x_plot = np.concatenate([x_plot, np.ones_like(x_plot)],axis=0)\n", + "# Run models\n", + "# Make predictions for mean and variance\n", + "inv_term = np.linalg.inv(X @ X.transpose()+(sigma_sq_n / sigma_sq_p)*np.identity(2))\n", + "y_plot_bayes = x_plot.transpose() @ inv_term @ X @ y\n", + "y_plot_var = np.zeros_like(y_plot_bayes)\n", + "for i in range(x_plot.shape[1]):\n", + " y_plot_var[i] = sigma_sq_n * x_plot[:,i] @ inv_term @ x_plot[:,i] + sigma_sq_n\n", + "\n", + "fig,ax = plt.subplots()\n", + "ax.plot(X[0,:],y,'bo')\n", + "ax.plot(x_plot[0,:], y_plot_bayes, 'm-')\n", + "ax.fill_between(x_plot[0,:], y_plot_bayes-2*np.sqrt(y_plot_var), y_plot_bayes+2*np.sqrt(y_plot_var), color='lightgray')\n", + "ax.set_xlim(-0.5,0.5)\n", + "ax.set_ylim(-0.5, 0.5)\n", + "ax.set_xlabel('Input, $x$')\n", + "ax.set_ylabel('Output, $y$')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "ZHrZl3uD0Dtj", + "outputId": "e277a087-a031-4c11-c0c3-99d4ce1a8e7e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + } + ] +} \ No newline at end of file