{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " \n", "
\n", "\n", "# Estimating the Error Variance\n", "\n", "Author(s): Paul Miles | Date Created: July 19, 2019\n", "\n", "Included in the [pymcmcstat](https://github.com/prmiles/pymcmcstat/wiki) package is the ability to estimate the error variance as part of the sampling process. Furthermore, when using multiple data sets to inform parameter values, you can estimate error variances for each data set separately. \n", "\n", "For more details regarding how to estimate the error variance please refer to:\n", "- Smith, R. C. (2013). Uncertainty quantification: theory, implementation, and applications (Vol. 12). SIAM.\n", "- Marsaglia, G., & Tsang, W. W. (2000). A simple method for generating gamma variables. ACM Transactions on Mathematical Software (TOMS), 26(3), 363-372. [https://doi.org/10.1145/358407.358414](https://doi.org/10.1145/358407.358414)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.9.0\n" ] } ], "source": [ "# import required packages\n", "import numpy as np\n", "from pymcmcstat.MCMC import MCMC\n", "import matplotlib.pyplot as plt\n", "import pymcmcstat\n", "print(pymcmcstat.__version__)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Define Model and Sum-of-Squares Functions\n", "- Note, the sum-of-squares function is designed to loop through the data sets." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# define model function\n", "def modelfun(xdata, theta):\n", " m = theta[0]\n", " b = theta[1]\n", " nrow, ncol = xdata.shape\n", " y = np.zeros([nrow, 1])\n", " y = m*xdata.reshape(nrow,) + b\n", " return y\n", "\n", "# define sum-of-squares function\n", "def ssfun(theta, data):\n", " n = len(data.xdata)\n", " ss = np.zeros([n])\n", " for ii in range(n):\n", " xdata = data.xdata[ii]\n", " ydata = data.ydata[ii]\n", " # eval model\n", " ymodel = modelfun(xdata, theta).reshape(ydata.shape)\n", " # calc sos\n", " ss[ii] = ((ymodel - ydata)**2).sum()\n", " return ss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Define Data Set - Plot\n", "We consider two simulated data sets. Both are linear, but each one has a different level of observation errors. The first data set has $\\varepsilon_i \\sim N(0, 0.1)$, whereas the second data set has $\\varepsilon_i \\sim N(0, 0.5)$." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Add data\n", "nds = 100\n", "m = 2.\n", "b = 3.\n", "x1 = np.linspace(2, 3, num=nds).reshape(nds, 1)\n", "y1 = m*x1 + b + 0.1*np.random.standard_normal(x1.shape)\n", "res1 = y1 - modelfun(x1, [m, b]).reshape(y1.shape)\n", "\n", "x2 = np.linspace(1, 5, num=nds).reshape(nds, 1)\n", "y2 = m*x2 + b + 0.5*np.random.standard_normal(x2.shape)\n", "res2 = y2 - modelfun(x2, [m, b]).reshape(y2.shape)\n", "\n", "plt.figure(figsize=(8, 4))\n", "plt.subplot(1, 2, 1)\n", "plt.plot(x1, y1, '.b');\n", "plt.plot(x1, modelfun(x1, [m, b]), '-r', linewidth=3);\n", "plt.xlabel('$x_1$'); plt.ylabel('$y_1$');\n", "plt.subplot(1, 2, 2)\n", "plt.plot(x1, res1, '.g');\n", "mr = res1.mean()\n", "plt.plot([x1[0], x1[-1]], [mr, mr], '-k', linewidth=3)\n", "plt.xlabel('$x_1$')\n", "plt.ylabel(str('Residual, ($\\\\mu$ = {:5.4e})'.format(mr)));\n", "plt.suptitle('Data Set 1')\n", "plt.tight_layout(rect=[0, 0.03, 1, 0.95])\n", "\n", "plt.figure(figsize=(8, 4))\n", "plt.suptitle('Data Set 2')\n", "plt.subplot(1, 2, 1)\n", "plt.plot(x2, y2, '.b');\n", "plt.plot(x2, modelfun(x2, [m, b]), '-r', linewidth = 3);\n", "plt.xlabel('$x_2$')\n", "plt.ylabel('$y_2$');\n", "plt.subplot(1, 2, 2)\n", "plt.plot(x2, res2, '.g');\n", "mr = res2.mean()\n", "plt.plot([x2[0], x2[-1]], [mr, mr], '-k', linewidth = 3)\n", "plt.xlabel('$x_2$')\n", "plt.ylabel(str('Residual, ($\\\\mu$ = {:5.4e})'.format(mr)));\n", "plt.tight_layout(rect=[0, 0.03, 1, 0.95])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Initialize MCMC Object and Setup Simulation\n", "- We call the `add_data_set` method twice to add each data set to the MCMC data structure.\n", "- The `updatesigma` flag must be turned on in order to include the observation errors in the sampling process." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "mcstat = MCMC()\n", "mcstat.data.add_data_set(x1, y1)\n", "mcstat.data.add_data_set(x2, y2)\n", "mcstat.simulation_options.define_simulation_options(\n", " nsimu=int(5.0e4),\n", " updatesigma=True,\n", " method='dram')\n", "mcstat.model_settings.define_model_settings(sos_function=ssfun)\n", "mcstat.parameters.add_model_parameter(name='m', theta0=1.0)\n", "mcstat.parameters.add_model_parameter(name='b', theta0=2.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Run Simulation" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Sampling these parameters:\n", " name start [ min, max] N( mu, sigma^2)\n", " m: 1.00 [ -inf, inf] N( 0.00e+00, inf)\n", " b: 2.00 [ -inf, inf] N( 0.00e+00, inf)\n", " [-----------------100%-----------------] 50000 of 50000 complete in 12.8 sec\n", "\n", "------------------------------\n", "name : mean std MC_err tau geweke\n", "m : 2.0131 0.0238 0.0007 34.5162 0.9996\n", "b : 2.9918 0.0606 0.0017 34.7970 0.9989\n", "------------------------------\n", "==============================\n", "Acceptance rate information\n", "---------------\n", "Results dictionary:\n", "Stage 1: 4.49%\n", "Stage 2: 26.70%\n", "Net : 31.19% -> 15595/50000\n", "---------------\n", "Chain provided:\n", "Net : 38.79% -> 9698/25000\n", "---------------\n", "Note, the net acceptance rate from the results dictionary\n", "may be different if you only provided a subset of the chain,\n", "e.g., removed the first part for burnin-in.\n", "------------------------------\n" ] } ], "source": [ "# run mcmc\n", "mcstat.run_simulation()\n", "# Extract results\n", "results = mcstat.simulation_results.results\n", "fullchain = results['chain']\n", "fulls2chain = results['s2chain']\n", "# Define burnin\n", "burnin = int(fullchain.shape[0]/2)\n", "chain = fullchain[burnin:, :]\n", "s2chain = fulls2chain[burnin:, :]\n", "names = results['names']\n", "# display chain statistics\n", "mcstat.chainstats(chain, results)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot Parameter Chains, Posteriors, and Observation Standard Deviations" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.08622487 0.49118312]\n" ] }, { "data": { "image/png": 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\n", 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\n", 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Pnp7niEgl4AZgQ0YnVdV4ID7ltf3Qzp7WrVvH/PnzHbGePXtStWpVlzIKPS+99BJHjx5lypQpqbGYmBgeeughtmzZQtGiRV3MzpicxaeZyQBEJBfQEk9BPQXMUtXjfswt/eetJrkzWfLryXia3DsDMcAEAFW98yrOaZ3JspmkpCRq167N999/nxorUqQIv/zyC9dcc42LmYWexMRE2rZty2efOUc9NmnShC+++IKICF9/zzcmZ3B7ZjJU9YKqzlfV4ao6NpBFOgMDgKV47qjX4mnyfjiLczBBZsaMGY4iDTBixAgr0j4IDw9n9uzZXmt3f/311wwePNilrIzJeTJzR/0C8D3wnaoe9WtWWcTuqLOXs2fPUrFiRY4c+V83hSpVqrB161YiIyNdzCy0HT58mJo1azquK8CsWbN47LHHXMrKmODn+h01MALPMK3DInJIRJaIyEsi8mDy0pfGZKk333zTq5iMGTPGinQmlS5dms8++4xcuXI54t26dWPXrl0uZWVMzpGZQr0FOAS8CrwBnMDT9PwpsF9EjojIF5lP0ZjL27dvH2+//bYjdt9999GsWUgt6Ba06tWrxz/+8Q9HLC4ujk6dOnHx4kWXsjImZ8jMM+o6wN/xTO95L/CqqlbFM4nIncDL2Dhlk0UGDx5MXNz/htyHh4czevRoFzPKfrp27UqvXr0csS1btniNVzfG+JfPz6hTT+CZj/vveBbO+Afwiqqe90NuAWfPqLOHLVu2cMcddzhiffv2Zfz48S5llH3FxsZy++238/PPP6fGIiMj2bJlC9WqVXMxM2OCTzA8owZAVc+q6vNALTyTnuwRkScye15jroSqMmjQIEescOHCvPjiiy5llL1FRUXx0UcfOaYZTUhI4IknnuDChQsuZmZM9pXpQg0gIhFAbmAunubu6cnLYBoTUF999RWrVq1yxIYOHWrDsQKoTp06XsOztm3bxogRI1zKyJjsLTPDswbjmezkNjzLXMbhWUnrR+AH4ENVTfRTngFhTd+hLTExkRo1arBt2/+WKi9Tpgy7d+8mT548LmaW/cXHx1O7dm22b9+eGgsPD2fTpk1ey2Uak1MFQ9P3SKAenglHblXVgqpaX1X7qOq0YC/SJvTNnj3bUaTBM7mJFenAy507NzNmzHDMTpaYmEjnzp2tCdwYP8tMoV4HXAO8CHwnIutFZIKIdBGRaiIS7p8UjfEWFxfH8OHDHbFbb72Vjh07upRRzlO9enWv/wY7duzg1VdfdSkjY7KnzAzPaqiqhYBKeIZorQeqAKPxNH2fFZHNfsnSmHQmTZrktdb0G2+8QXi4/X6YlYYMGUL16tUdsZEjR3pN42qM8V2mh2dd8qQi5fEsVXm7qg71+wf4iT2jDk3R0dGUL1+eU6dOpcYaNmzIqlWrbEU0F/z444/Url3bMfFJ1apV2bJli9dsZsbkJMHwjDpDqvpfVf0kmIu0CV2jRo1yFGnwTB9qRdod1atXZ+hQ5z916wVujP/4dEctIr/h2/rT41Q1aGahsDvq0PP7779ToUIFzp//35w6Dz/8MAsWLHAxK3PhwgVq1arl6AUuInz11Vc0adLExcyMcY+/7qh9LdQNffy8vaq6z8f3+p0V6tDTu3dvJk+enPo6LCyMn376icqVK7uYlQH4/vvvqVOnjqMJvHjx4vz444+ULl3axcyMcYerhTq7sEIdWvbs2UOVKlUchaBr1668//77LmZl0nrrrbd4/vnnHbEGDRqwcuVKx1AuY3KCoH5GbUwgDB8+3FGk8+TJw0svveReQsbLwIEDadGihSO2du1am9LVmEzIskItInWy6rNM9vP9998zb948R6xv375cf/31LmVkLiUsLIwPP/yQsmXLOuIjR45k0aJFLmVlTGjLyjvqT7Lws0w2oqo8++yzjlihQoW85ps2waFo0aJ8/PHHREZGOuIdOnRg48aNLmVlTOjy60MjEZmf0S7AFukwPlm6dKnXwhuDBg2iaFH7XypY1alTh1GjRjFgwIDUWGxsLA888ADffPMNf/nLX1zMzpjQ4tfOZCJyCugInE2/C/hYVUv67cP8wDqTBb+EhARuu+02x/rHZcqU4eeffyYqKsrFzMzlqCrdu3dn2rRpjnj58uXZsGEDJUqUcCkzY7JGsHYmWw2cUdU16bbVeFbWMuaqvPfee44iDZ7nnVakg5+IMHnyZO677z5H/L///S/NmzfnzJkzLmVmTGjJ9B21iORX1fR30CHB7qiDW3R0NBUqVODEiROpsVq1arFp0ybCwmzAQqg4e/YsDRs29Jr/u1GjRnzxxRf2S5fJtoLpjjpaRB7xw3kcRGSIiGwRkTMickxEFolIpXTH5BGRSSJyUkTOisgCEQmq5nXju5EjRzqKNMCYMWOsSIeY/Pnz8/nnn1OuXDlHfPXq1TzyyCO2LKYxl+GPn3gCPJW8zOW/RWSciNT2w3kbApOAukATIBJYLiL50hwzFmgBtEk+vjTwmR8+27hsz549vPPOO45Yq1atuOuuu1zKyGRGqVKl+PLLLylevLgjvmzZMh577DHH+HhjjJM/mr6TgJPAPOAcnlWz7gImquqzf/beq/yc4sAxoKGqrhWRQsBxoIOqfpp8TGVgF1BPVS87DsSavoOTqtKsWTOWL1+eGouIiGDnzp1UrFjRxcxMZm3dupVGjRrxxx9/OOJPPPEE06dPt9YSk60EU9M3eIplX1UdrKpNgDuAR0RkwOXeeBUKJf+ZsmxSTTx32StSDlDV/wD7gXp+/FyTxebPn+8o0gD9+vWzIp0NVKtWjWXLlpEvXz5HfMaMGfTs2ZOcPKWxMRnxR6E+BRxIG1DVbUAfoJcfzo+IhAHjgPWquiM5XAq4oKp/pDv8aPK+S50nt4gUTNmAAv7Iz/hPdHQ0/fv3d8Suu+46myo0G6lbty5LliwhT548jvjUqVPp16+fFWtj0vFHof4R6HKJ+B7gBj+cHzzPqm8F2mfyPEOA6DTbwUyez/jZCy+8wJEjRxyx8ePHU6CA/U6Vndx9990sWLDAa/ayiRMn8txzz1mxNiYNfxTqF4B+IjJTROqJSD4RKQEMBX7L7MlFZCLwAHC3qqYtrEeAXCJSON1bSibvu5TX8TShp2w2UXQQ2bJlC5MmTXLEmjdvTqtWrVzKyATS/fffz/z58wkPD3fER48ezeDBg61YG5Ms04U6udNWXaAMsA6IAX4HWgMDfT2veEwEWgGNVTV90f8OSADuSfOeSnju4jdkkGu8qsakbIDNuBAkLly4QPfu3R0/nKOiopgwYQIi4mJmJpBatmzJnDlzvDqRpUw/asXaGD/N9a2qW4FGyXfSNfH8ArBJVU/8+Tv/1CSgA/AQcEZEUp47R6tqrKpGi8g0YEzy1KUxwARgw5X0+DbBZfjw4WzdutUR+/vf/86NN97oUkYmq7Rt25YLFy7wxBNPOArzO++8Q3x8PJMmTbLe4CZH82l4lojcoKr7r+L461T10FV+RkaJdVHVD5OPyQOMBh4FcgNfAb1VNaOm7/SfYcOzgsDq1atp3Lix44f0Lbfcwvfff0+uXLlczMxkpQ8//JAnn3zS6y66S5cuTJ061auJ3Jhg56/hWb4W6qPAIuB9Vd2SwTGFgLbAM8B7qjre1yQDxQq1+06fPk21atU4cOB/Awdy5crF5s2bqVatmouZGTfMnTuXjh07kpiY6Ii3aNGCuXPneg3rMiaY+atQ+9r0fTMwDPhaROLwPC8+DMQBRZL33wJ8Dzyvql/4mqDJvlSV3r17O4o0eKYOtSKdMz366KPkzp2b9u3bk5CQkBpfsmQJDRs2ZMmSJVx77bUuZmhM1svUzGQiEgXcj2cmsrJAFHAC+AH4Ks2Y56Bkd9Tu+uijj+jcubMj1rhxY77++mt7JpnDLV26lNatWxMfH++I33DDDXzxxRfccsstLmVmzJVztenbcQKR3sBUVU247MFBxgq1ezZu3EijRo0cP4gLFy7M9u3buf56GzVnYN26dbRs2ZJTp0454gULFmTWrFm0aNHCpcyMuTLBNIXoBOCB5Lm4HUTEpvI0Xg4cOEDLli297pamTJliRdqkuuuuu/jmm28oX768Ix4TE8ODDz7IiBEjSEpKcik7Y7KOv1bP+gQ4IiK/i8hyEXlbRPoAS/1wfpONnDt3joceeoijR4864n369KFt27YuZWWCVaVKldi4cSN169b12vfiiy/y8MMPExPj842KMSHBXw8Cy+NZiGMosBPPWOrnARvPbFIlJSXRuXNnfvjhB0f83nvvZezYsS5lZYJd8eLF+de//kWHDh289i1evJjatWuzfft2FzIzJmv4a5nLUqp6zD8pZR17Rp11kpKS6N27N1OmTHHEK1asyKZNmyhSpIhLmZlQoaqMHTuW5557zqvJOyoqismTJ9OpUyeXsjPGWzA9owaoIiKRlz/M5ESqSp8+fbyKdKFChViyZIkVaXNFRIS//e1vLF++nGuuucaxLzY2ls6dO9O9e3diY2NdytCYwPBXof4XcFZEtovIHBEZLCL3i4j1DMrhVJV+/foxefJkRzwiIoL58+dTqVIllzIzoeqee+7h22+/pWbNml773n//fWrWrOn1eMWYUOaPQv0fPEtQNgPeA87hWUhjPrDPD+c3ISoxMZG+ffsyceJERzw8PJyPP/6Yv/71ry5lZkJduXLlWL9+Pb179/bat2vXLurUqcObb77pNcOZMaEo08+oMzyxZ8mjm1R1T0A+wA/sGXXgxMTE8Oijj/LFF85J6cLDw5k3bx6tW7d2KTOT3cyZM4cePXpw7tw5r3133XUXU6ZMoUqVKi5kZnK6YHtG7UU9grZIm8D573//S7169S5ZpOfOnWtF2vhVhw4d+Pbbb6lRo4bXvnXr1lG1alUGDRrE2bNnXcjOmMyzeRqNXy1fvpw77riDnTt3OuKRkZHMnj2bNm3auJSZyc4qV67Mhg0bGDJkiNf65RcvXmTUqFFUqVKFefPm2SQpJuRYoTZ+ERMTQ48ePWjatCknT5507CtWrBgrV66kXbt2LmVncoJcuXIxcuRI1qxZQ7ly5bz2Hzx4kEcffZTbb7+dRYsWeS2naUywskJtMu3rr7/mtttuY+rUqV77br31VrZs2cJdd93lQmYmJ7rrrrvYsWMHQ4YMITLSe9Totm3baNWqFbVr1+bTTz/l4sWLLmRpzJWzQm18tnPnTlq2bMlf//pX9u/f77W/RYsWfPPNN5e8uzEmkPLly8fIkSPZvn0799577yWP+e6772jTpg0VKlRg9OjR/PHHH1mcpTFXxgq1uWoHDhyga9eu3HbbbSxevNhrf758+Zg8eTKLFy+mQIECLmRojEelSpVYvnw5n332WYZLY+7bt49nn32W6667jg4dOrB06VIuXLiQxZkak7GADc8KBTY86+r8+OOPjB49mnnz5mXYXNi4cWOmTZtmd9Em6CQmJjJ//nxeeukldu/e/afHFi1alBYtWtCkSRPuvfdeSpYsmUVZmuwkaNajDmVWqC/v4sWLfP7550yYMIGVK1dmeFyxYsV45ZVX6NGjB2Fh1lBjgtfFixf55JNPGDt2LFu2bLmi99x22200bNiQ+vXrU79+fa677roAZ2myAyvUfmCFOmMHDx7k/fff5/333+fQoUMZHpcvXz4GDhzIwIED7RqakKKqbNy4kXHjxrFgwYKrmsWsXLlyNGrUiLvvvpu7776bMmXKBDBTE6qsUPuBFWqnM2fOsHDhQmbNmsXKlSv/dLxpVFQU3bp1Y9iwYdYsaELe8ePH+eSTT5gzZw7r16+/6vffdNNNNG7cmMaNG3P33XfbvwkDWKH2CyvUcOLECZYtW8aSJUtYunTpZVceKlmyJH369KFXr15eKxgZkx3s3buXJUuWsGLFClatWsWZM2eu+hyVKlWiXr161K1blzp16lClShVy584dgGxNMLNCnUxEngaeA0oBW4G+qrr5Ct+b4wr16dOn2bhxIxs2bGDlypVs2LDhiiZ+uOOOO+jZsyePPvooefLkyYJMjXFfQkICmzdvZu3atfz73/9m/fr1REdHX/V5wsLCuPHGG6lUqRIVK1akVKlSlCxZkhIlSlCsWDEKFy6cullBzz6sUAMi0g6YAZzrhHsAACAASURBVPQENgH9gTZAJVU9dgXvz5aFOjExkePHj3Po0CF2797Nrl272LVrFzt27OA///nPFZ8nf/78PP744zz11FNUr149gBkbExqSkpLYsWMHq1evZvXq1axZs4ZTp0759TOioqIoWrQo11xzDUWLFqVYsWIUL148dStSpEjqVrBgQfLmzZu65cmTh4iICK9pVI07rFADIrIJ2KKqfZJfhwEHgAmq+sYVvD/ThfqPP/647JjL9NdYVb22ixcvkpiYyMWLF7l48SLx8fGp2/nz5zl//jznzp3j3LlznD17ljNnznD27FliYmL4448/OH36NKdPn+b48eMcOXLE5+X9IiIiaNasGY8//jgtWrQgb968Pp3HmJwgKSmJbdu2sWrVKv71r3+xZs0an5rK/SksLIzcuXOTJ08eRxHPmzcv+fPnJ1++fOTLl4+8efOmHpc7d24iIiIICwsjLCwMEXH8fAIQkdR9ERERREZGkitXLseWO3ducufOnbovMjKSyMhIIiIiiIiIIDw8PHULCwsjPDzc8UvFpX42psTTEpHULW3Ol9rSv+9Sf89I/vz5M/UzMMcXahHJBZwHWqvqojTxj4DCqvrQFZwj04W6VatWLFq06PIHBrF8+fJx77330rx5c1q1akWxYsXcTsmYkHTx4kV+/PFHNmzYkPqI6bfffnM7LeOjsWPH0r9/f5/f769CHeFzBu4rBoQDR9PFjwKVL/UGEckNpH0AlCOnzcqTJw+1atXizjvvpHHjxjRs2NCeOxvjBxEREdSqVYtatWrRt29fAKKjo9m9ezc///wzP//8MwcOHODo0aOp2+nTpy/bidPkbKFcqH0xBHjR7SSySnh4ONdffz1VqlRJ3apVq0b16tXJlSuX2+kZkyMUKlSI2rVrU7t27QyPiY+PJzo6mj/++INTp05x6tQpTp48ycmTJzl+/HjqdvLkSU6fPp36uOvcuXNZ+E2MW0K5UJ8AEoH0AxZLAkcyeM/rwJg0rwsAB/2fWuZFRkamPu+JiopyPFfKnz8/BQoUSP2zSJEiFC5cmCJFilC0aFFKly7NddddR/HixQkPD3f7qxhjLiN37tyUKFGCEiVKXNX7kpKSiIuLS+3DEh8fT1xcHHFxccTGxhIbG+vVxyWln0vKcXFxccTHx5OYmEhSUhKqSlJSkuM5b9pnxomJiSQmJpKQkMCFCxccW3x8PBcuXEjdl5CQQEJCQmrfG1sL3Dch+4waUjuTbVbVvsmvw4D9wMSs6kwWHR2dYWeyP+uskL7DQ0pHi5Q/bRpOY0x2k1Lok5KSSEpKumSn14w6hKX/hSHtlnK+S3VES/vZf5bXpaTcHPnKnlF7jAE+EpFvgc14hmflA6ZnVQLJ/xGMMcZcRspNibk6IX3FVPVjESkOjMAz4cmPQDNVTd/B7E/FxPj8i44xxhhzSf6qLSHd9J1ZInIdQfqM2hhjTLZxvapmvLrRZeT0Qi1AacDdGQqyTkrnuevJOd85PbsGdg1S2HWwawCBvwYFgMOaiWIb0k3fmZV84Xz+LSfUpOncdiYzHRtCmV0DuwYp7DrYNYAsuQaZPqd1LTbGGGOCmBVqY4wxJohZoc5Z4oGXk//Mqewa2DVIYdfBrgGEwDXI0Z3JjDHGmGBnd9TGGGNMELNCbYwxxgQxK9TGGGNMELNCbYwxxgQxK9QhTkSeFpG9IhInIptE5I7LHN9GRP6TfPx2Ebk/3X7NYHsusN/EdwG4BvlFZKKIHBSRWBHZKSI9A/stMicA16CkiHwoIodF5LyIfCkiFQP7LTLnaq6BiNwiIguSj1cR6Z/ZcwYDf18DEWkgIkuS/z9QEWkZ2G/gHwG4DkNEZIuInBGRYyKySEQqBfZb/I8V6hAmIu3wrCD2MlAD2Ap8JSKXXNRWRO4E5gLTgNuBRcAiEbk1zWHXptueBBRYEKCvkSkBugZjgGbA40AVYBwwUUQeDNT3yAx/X4PkqXUXAeWBh5KP2QesEJF8gf02vrnaawDkBf4LDCaD9et9OKerAnEN8KxGuBV42r/ZBk6ArkNDYBJQF2gCRALLs+zfQ0bre9oW/BuwCc/a2ymvw/BMiTo4g+M/Bpami20E3v2Tz1gErHT7u2blNQB2AMPTHfMd8Krb3zcrrgHwFzy/nN2S7pzHgG5uf19/XIN0790L9PfnObPLNUh3jAIt3f6ebl+H5OOKJ1+PBlnxneyOOkSJSC6gJrAiJaaqScmv62Xwtnppj0/2VUbHi0hJoDmeO6+gE8Br8A3woIhcJx534yley/2Vu78E6BrkTv4zLt0544H6mc/av3y8Bll+zkAKtXwDJQuvQ6HkP0/58ZwZskIduooB4UD6tbeP4lmb+1JKXeXxnfCsJvOZjzkGWqCuQV9gJ54VdS4AXwJPq+razCYcAIG4Bv8B9gOvi0gREcklIoPwrC50rV+y9i9froEb5wykUMs3UAJ+HUQkDM/jsPWqusMf57ycHL16lrmsJ4HZqhp32SOzl754nkU9iOfZbANgkogcVtX0d6LZjqomiMjDeFpSTgGJeO5IlgHyZ+81JgeYBNxKFrYuWaEOXSfw/AAtmS5ekow7RBy50uNF5C6gEtAuc2kGlN+vgYhEASOBVqr6efL+bSJSHXgW7yZjtwXk/wNV/Q6oLiKFgFyqelxENgHf+iVr//LlGrhxzkAKtXwDJaDXQUQmAg/geTZ9MLPnu1LW9B2iVPUCng5O96TEkptk7gE2ZPC2DWmPT9Ykg+O7At+p6tbMZxsYAboGkclbUrpjEgnCfy+B/v9AVaOTi3RFoBaw2B95+5OP1yDLzxlIoZZvoATqOiT3VZkItAIaq+pvmc31qrjdQ8823zc8d7txeJ4lVwGmAKeBksn7ZwCvpzn+TiABGAhUBl7C8wz21nTnLQicA3q6/R3duAbAajw9vxsBNwKdgVigl9vfNwuvQZvk758yRGsvsMDt7+rHa5ALqJ68HQbeSv57hSs9Z7BtAboG+dMco8CA5L/f4Pb3zeLr8A/gDzzDtEql2aKy5Du5fVFty+R/QOiD5zlqPJ5hCXXS7FsNfJju+DbAz8nH7wDuv8Q5ewDngUJufz83rkHyP8DpeIZ0xOLpXPU3klebC8YtANegH3AATwHfB7yCpwnc9e/qj2sAlEsuPOm31Vd6zmDc/H0N8PyydqljPsyq7xQk1+FS+xXonBXfx5a5NMYYY4JY0D1zM8YYY8z/WKE2xhhjgpgVamOMMSaIWaE2xhhjgpgVamOMMSaIWaE2xhhjgpgVamOMMSaIWaE2xhhjgpgVamOMMSaIWaE2xlySiNQVkZUiclJENN1W0O38jMkprFAbY7yISDU8cyL/ANwFNMOzNvVKoJ2qxriXnTE5i831bYzxIiJrgEOq2iFNbCJQU1XrichCPAs2rFTV1i6laUyOYHfUxhgHESkJ1MeztF9a5/CsGATwDvBEVuZlTE5lhdoYk15NPD8btl4i/i2Aqq4GzmRtWsbkTFaojTHppfxcyJcSEJGqQANgjisZGZODWaE2xqS3CYgF3hKRyiLSHPgnMElVN7qbmjE5T4TbCRhjgouqHheRtsBoYBuwH5gIjHE1MWNyKCvUxhgvqroUWOp2HsYYG55ljPGBiKwAquF5jn0KaKOqG9zNypjsyQq1McYYE8SsM5kxxhgTxKxQG2OMMUHMCrUxxhgTxKxQG2OMMUHMCrUxxhgTxKxQG2OMMUHMCrUxxhgTxKxQG2OMMUHMCrUxxhgTxKxQG2OMMUHMCrUxxhgTxKxQG2OMMUHMCrUxxhgTxKxQG2OMMUHMCrUxxhgTxCLcTsBNIiJAaeCM27kYY4zJlgoAh1VVfT1Bji7UeIr0QbeTMMYYk61dDxzy9c05vVCfAThw4AAFCxZ0OxdjjDHZSExMDGXKlIFMttrm9EINQMGCBa1QG2OMCUpWqI3JAhcvXmTdunUsWrSIHTt2EB4eTlRUFFFRUeTJk8fxZ1RUFHnz5iVv3rzky5eP2267jerVq+PpUmGMyWmsUBsTQD/99BNjxoxh8eLFnDx50ufzlC9fnrZt29KuXTuqVatmRduYHEQy0REt5IlIQSA6Ojramr6N33322We0b9+ehIQEv563fv36zJ49mxtuuMGv5zXG+FdMTAyFChUCKKSqMb6ex8ZRGxMAM2bMoE2bNn4v0gD//ve/qVWrFqtXr/b7uY0xwcfuqO2O2vjZP/7xD55++ulL7qtRowYtWrSgYMGCxMbGpm5xcXHExcWlvj5//jznz5/nwIED7Nu375LnCg8PZ8yYMfTt29eawo0JQv66o7Zn1Mb40ZgxYxg4cKBX/Mknn2T48OGUK1fuqs6nqvzwww/Mnz+fWbNmcejQ/4ZiJiYm8swzz7B9+3amTJlCWJg1kBmTHdkdtd1RGz9Zs2YNd999N+n/TT377LOMGjUq03e90dHRPP744yxdutRr33PPPceoUaMydX5jjH/ZM2pjgkhMTAydO3f2KtIjRozwS5EGKFSoEIsXL2b48OFe+9566y0mTJiQ6c8wxgQfK9TG+MGAAQPYu3evI/byyy8zfPhwvz4/DgsLY8SIEXz66adERDifXD3zzDMsXLjQb59ljAkOVqiNyaR//vOffPDBB45YgwYNGDZsWMA+85FHHmHq1KmOmKrSoUMHvvnmm4B9rjEm61mhNiYTjh8/Tvfu3R2x/Pnz8+GHHxIeHh7Qz+7cuTMjRoxwxOLi4mjVqhUHD9paM8ZkF1aojcmE3r17c+zYMUfsnXfe4cYbb8ySz3/hhRfo1q2bI3bs2DFat25NfHx8luRgjAmsoC3UItJARJaIyGERURFpmW6/iMgIEfldRGJFZIWIVHQrX5PzfPnll3z66aeO2IMPPkiXLl2yLAcRYfLkyTRr1swR37RpE88880yW5WGMCZygLdRAPmArcOmZI+B5oB/QE6gDnAO+EpE8WZOeycni4uLo06ePI3bNNdcwderULJ98JCIigjlz5lC+fHlHfMqUKUybNi1LczHG+F/QFmpVXaaqL6iqVzdW8fwk7A+8qqqLVXUb8ARQGmiZ/nhj/O3NN9/k119/dcTeeustSpQo4Uo+RYoUYeHChURFRTnivXv3ZsuWLa7kZIzxj6At1JdxI1AKWJESUNVoYBNQL6M3iUhuESmYsgEFAp6pyXZ+/fVXXn/9dUfszjvvpFOnTi5l5FG1alXef/99R+zChQu0adOGU6dOuZSVMSazQrVQl0r+82i6+NE0+y5lCBCdZrOuseaqqCp9+vRxdNQKDw9n8uTJQTGFZ4cOHejfv78jtm/fPp544gmSkpJcysoYkxnu/2TJWq8DhdJs17ubjgk1Cxcu5Msvv3TE+vbtS9WqVV3KyNuoUaOoX7++I/b555/bFKPGhKhQLdRHkv8smS5eMs0+L6oar6oxKRtwJlAJmuzn/PnzDBgwwBG79tprefnll13K6NIiIyP5+OOPvZ6XDxs2zJbGNCYEhWqh/g1PQb4nJZD8zLkOsMGtpEz2NmrUKPbv3++IjRkzJigXdCldujRz5sxx9EBPSkqiffv2HDmS4e+yxpggFLSFWkTyi0h1EameHLox+fUN6ln5YBzwgog8KCK3ATOAw8Ait3I22dfevXt58803HbFGjRrRrl07lzK6vHvuucfrbv/o0aN06NCBxMREl7IyxlwtvxRqEYkUkTIiUklEivrjnEAt4IfkDWBM8t9T5kwcBUwA3gO2APmBZqoa56fPNybVwIEDiYv73/9a4eHhjB8/PsvHTF+tYcOG0bRpU0ds1apVvPTSS+4kZIy5aj6vRy0iBYDHgfbAHUAuQADF05t6OfCeqgbtIE5bj9pciRUrVtCkSRNHrG/fvowfP96ljK7OiRMnuP32273m/162bJnXjGbGGP/x13rUPhVqEfkbMAz4FVgCbMbT7BwLFAVuBe7CM/nIJqCvqv7ia5KBYoXaXE5CQgLVqlVj165dqbFixYqxe/duihQp4mJmV+ebb76hYcOGXLx4MTV2zTXX8MMPP1CmTBkXMzMm+/JXofa16bs20EBV71DVV1T1K1Xdrqp7VHWzqn6gql3wjGlehKdoGxNypkyZ4ijSACNHjgypIg2eCVnSP2M/efIk7du3JyEhwaWsjDFXwuem7+zA7qjNn4mJieGmm27ixIkTqbEaNWqwefPmgC9hGQiqSqtWrVi8eLEjPnjwYK+Z1owxmefqHXVy57EmInKXiFzj64cbE8xGjRrlKNIA48aNC8kiDZ6VtqZPn065cuUc8TfeeIPly5e7k5Qx5rJ8fUa9BPgdeBg4DeQFtqtqSPVMsTtqk5HDhw9ToUIFYmNjU2MPPfQQixaF/ui/LVu28H//93+OJu8SJUqwdetWSpX6sxl4jTFXw+1n1Deoag/goKpWBEYC23xNwphg8+KLLzqKdFhYWLZpHq5duzZvvPGGI3bs2DE6duxo84EbE4R8LdQpA0oviEguVZ0E1P+zNxgTKn766Sc++OADR6xbt25UqVLFpYz8b8CAATRv3twRW7FihVcBN8a4z9em78eAZUB3oBKwHhikqn/xb3qBZU3f5lJatGjB0qVLU1/nzZuXPXv2cO2117qYlf+dOHGC6tWrc+jQodRYREQEGzdupGbNmi5mZkz24HbT92eqekpV3wTWApWB1r4mYUyw2Lhxo6NIg2dWsuxWpMEzHnzOnDmO5TkvXrxIx44dHc3+xhh3+Vqo/53yF1X9UFWfAy74JyVj3PPKK684XhcvXpznnnvOpWwCr0GDBgwbNswR27VrF0OHDnUpI2NMeldVqEWkhYgMAvKLSPrpjD72X1rGZL3vvvuOL774whEbPHgwBQoUcCmjrDF8+HCvpu5x48axatUqlzIyxqR1tXfUO/Cs4VwMmCEiv4rIWhGZD9j0Riakpb+bLlasGE899ZRL2WSdyMhIZs6cSe7cuR3xTp06ER0d7VJWxpgUV1WoVfU3Vf0H0EpV71bVm4BH8Sw52TgQCRqTFbZt2+Y1Y9fAgQPJly+fSxllrSpVqnj1+D5w4AD9+/d3KSNjTApfe31HAo3wDNPaqaon/ZxXlrBe3yZF27Zt+eSTT1JfFy1alL1792b7Zu+0kpKSaNKkCf/6178ccVtlyxjfuN7rG2gDLAQ2isghEfnS1ySMcdPOnTv59NNPHbH+/fvnqCINnkldpk+f7vVLa48ePYiJ8flnjDEmk2xmMpPjvfbaa6RtWSpUqBB9+/Z1MSP33HDDDbz99tuO2IEDB3j++eddysgYYzOTmRztt99+4+OPnQMW+vXrR+HChV3KyH3dunXjnnvuccSmTJni1SRujMkavhbq8SJSFFgAvCsiXfH0BDcmpIwdO5bExMTU1/ny5cvxHahEhKlTp3p1pOvWrRtnz551KStjcq6rHUd9E4CqzraZyUyoO3nyJNOmTXPEunfvTtGiRV3KKHjceOONXr3Af/vtN4YMGeJSRsbkXFfV61tEvgYqAEfwPJNO3VQ15AZcWq/vnO3VV19l+PDhqa/Dw8P59ddfKVu2rItZBY+kpCQaNWrEunXrHPFVq1bRqFEjd5IyJoS40utbVZuo6o3AEqAEcB3wAnBSRPb4moQxWS02NpYJEyY4Yu3atbMinUZYWBjTpk0jKirKEX/yySetCdyYLOTrM+q2qtpKVYeqalPgfjwraBkTEmbMmMGxY8ccsew8p7evKlasyMiRIx2x3377jcGDB7uUkTE5j8+9vkXk5pQXqrocuNU/KRkTWImJiYwePdoRa9KkCdWrV3cpo+DWr18/6td3DuqYNGmSzQVuTBbxtVB3BT4WkQki0lVExgFXP8WZMS745z//yS+//OKI2d10xlImQrlUE/iZM2dcysqYnMOnQq2qPwE1gXVAOWAfcJ//0jImMFSVUaNGOWLVq1fn3nvvdSmj0FChQgVef/11R2zv3r0MGDDApYyMyTl8mus7u7Be3znP2rVradiwoSM2a9YsHnvsMZcyCh0Z9QJfuHAhLVu2dCkrY4KX23N9IyIviMj9IlLS13MYk9XS302XLVuWdu3auZRNaAkLC+PDDz8kf/78jnj37t05cuSIS1kZk/35XKiBEXiGaR1OXpRjiYi8JCIPish1fsrPGL/ZsWMHn3/+uSM2cOBAIiIiXMoo9JQvX57x48c7YidOnODJJ58kJ7fOGRNImSnUW4BDwKvAG8AJ4GHgU2C/iBwRkS8yn6Ix/pH+bvqaa67hySefdCmb0NW5c2datWrliC1btozJkye7lJEx2ZvPhVpV6wB/B7oD9wKvqmpVoABwJ/AycNAfSRqTWfv372fu3LmOWJ8+fbzmszaXJyK89957lCpVyhF/9tln2blzp0tZGZN9ZeaOGlX9EPgL8DPwvYi8DoSr6iZVnZy8FKYxrhs7diwXL15MfR0VFUWfPn1czCi0FStWjOnTpztisbGxdOjQgfj4eJeyMiZ7ylShBlDVs6r6PFALz6Qne0TkiUxnZoyfnDp1iqlTpzpiXbt2pVgxW/AtM5o1a+b1y87WrVtt4Q5j/CzThRpARCKA3MBcPM3d05OXwTTGde+88w7nzp1LfR0eHs7AgQNdzCj7GDVqFLfccosjNnbsWJYvX+5SRsZkP5kZnjVYRGaLyDbgPPAN0BvYDPQAQm41LZP9nDp1irFjxzpibdu2pVy5cu4klM1ERUUxd+5ccufO7Yh36tSJ48ePu5SVMdlLZu6oRwL1gAXArapaUFXrq2ofVZ2mqon+SdEY340ZM8YxzaWIMGzYMBczyn5uu+02rx71R44coWvXrjZkyxg/8HlmMhFZA1TH08v7HJ51qb9Ps+0I9mJtM5NlbydOnODGG290LMn46KOPMmfOHBezyp5UlebNm7Ns2TJHfMqUKfToYX1KTc7k+sxkqtpQVQsBlfAM0VoPVAFGAz8AZ0Vks6/nv5zkyVU03fafQH2eCT2jR492FOmwsDD+/ve/u5hR9iUiTJ8+nRIlSjjiAwYMYPfu3S5lZUz24I9e37+o6jxVfV5V71XVokAF4AlgRaYz/HM/Adem2er/+eEmpzh27BgTJkxwxDp06EDlypVdyij7K1myJB988IEjdv78eR577DESEhJcysqY0OeXXt/pqep/VfUTVR0aiPOncVFVj6TZTgT480yIeOutt7x6etvddOA1b96cXr16OWLffvstI0aMcCkjY0KfT8+oReQ3fFt/epyqjr/8YVeUw0vAc3h6l8cBG4Ahqrr/T96TG88wshQFgIP2jDp7OXz4MBUqVCA2NjY11rlzZ68JOkxgnD9/nho1avDzzz+nxsLCwlizZg3161ujl8k5/PWM2tdC3fDyR13SXlXd5+N70+dwH5Afz6xo1wIvAtfh6YF+ydXsk4v7i+njVqizl06dOjFjxozU1+Hh4fz888/cdNNNLmaVs3z33XfUrVvXMRtc2bJl+fHHHylcuLCLmRmTdVwt1MFIRAoD+4C/qeq0DI6xO+psbvPmzdSpU8cR69GjB1OmTHEpo5zr9ddfZ+hQ59Ov9u3bM2fOHETEpayMyTqu9/oONqr6B7AbT0e2jI6JV9WYlA245J23CU2qSv/+/R2xAgUK8Morr7iUUc72/PPP07Chs/Ft3rx5zJw506WMjAlNfi/UIhJ1qfWoReSWSx3vx8/ND9wE/B7IzzHBa968eWzYsMERGz58uNeQIZM1wsPDmTlzpldT99NPP82vv/7qUlbGhB6/FmoRaQ38AnwuIttEJG0bpF9/jRaRt0WkoYiUE5E7gYVAIp75xk0Oc/78eQYNGuSI3XTTTfTr18+ljAxAmTJlvBZEOXv2LI899hgXLlxwKStjQou/76hfAGqqanWgCzBNRDok7/P3Q6nr8RTln4H5wEmgrqraBMM50Ntvv82BAwccsdGjR3vNQW2yXuvWrXnyyScdsU2bNvHss8+6lJExocWvnclE5CdVvSXN66J47nRXAi1VtYbfPswPbArR7GH37t1UrVrVsQ5y48aNWbFihXVaChJnz56lRo0a/PLLL474zJkzefzxx13KypjACtbOZMdEpGrKC1U9BTTBM7Vo1QzfZYyPkpKS6Natm6NIh4WFMXbsWCvSQSR//vzMmzePPHnyOOI9evRg69atLmVlTGjIdKFO7sSVoiNwLO1+Vb2gqo8Cvo69NiZDU6ZMYd26dY5Yv379qFrVfi8MNjVq1GDy5MmOWGxsLA8//DCnT592KStjgl+mm75FJBFoq6oL/JNS1rGm79C2f/9+brnlFsfCGzfeeCPbt28nX758LmZm/kyvXr149913HbGmTZuyZMkSIiMjXcrKGP8LpqZvAZ4SkfUi8m8RGScitf1wXmMypKr07NnTUaQBpk6dakU6yI0bN466des6Yl999RU9e/a09auNuQR/PaO+Hc8a1P8GbgHWicjbfjq3MV5mzpzptfZx165dueeee1zKyFyp3Llz8+mnn3qNb//ggw94+eWXXcrKmODlj6bvJKCpqn6dJlYVWAyMV9WxmUsxcKzpOzTt2bOH22+/3XE3fe2117Jz506bRzqEbNiwgcaNGxMXF+eIv/fee3Tv3t2lrIzxn2Bq+j4FOAawquo2oA/Q65LvMMZH8fHxtGvXzqvJe9KkSVakQ0y9evWYN28eYWHOH0M9e/Zk8eLFLmVlTPDxR6H+Ec/kJuntAW7ww/mNSTVkyBC+//57R+zJJ5+kVatWLmVkMuOhhx5i0qRJjlhSUhJt27blyy+/dCkrY4KLPwr1C0A/EZkpIvVEJJ+IlACGAr/54fzGALB06VLGjnU+SalcuTLjx/tliXPjkp49ezJs2DBH7MKFC7Rs2ZKVK1e6lJUxwSPThVpVNwJ1gTLAOiAGz8IYrYGBmT2/MQAHDhygc+fOjlju3Ln5+OOPrZd3NvDKK6/QrVs3Ryw+Pp4WLVqwdu1al7IyJjj4pde3qm5V1UZAaeABLgSkIwAAFC9JREFU4EGgrKp+4Y/zm5zt/PnztGzZkpMnTzriY8aMsYlNsgkR4d1336Vjx46OeGxsLPfff7/XpDbG5CQ+FWoRueSzZ1U9pqrLVPVzVT2R5nivZS+NuRKqSrdu3byeS7dq1YpevayvYnYSHh7OBx98QNu2bR3xc+fO0axZM1asWOFSZsa4y9c76i0iMuXPJjYRkUIi0l1EdgCP+Pg5JocbNWoUc+c6Vy6tWLEi06ZNs7m8s6GIiAhmzZpFy5YtHfHz58/zwAMP8Pnnn7uUmTHu8WkctYhcAwwDngTigO+Aw8l/LwLcjGfik++BV4K1CdzGUQe3L774ggceeMAxW1WBAgXYtGkTVapUcTEzE2jx8fG0bduWf/7zn454ZGQkc+bMoXXr1i5lZsyVc3UctaqeVNW/AdcCTwO/AMWAismHzMazLnW9YC3SJrj98MMPtG/f3lGkRYS5c+dakc4BUmYvS98MnpCQQLt27ZgwYYJLmRmT9SIy82ZVjRWRksBzqprgp5xMDvfrr79y3333cebMGUd85MiRNG/e3KWsTFZLuXuOiorio48+So0nJSXRr18/9uzZw5gxYwgPD3cxS2MCzx+9vicAD4hI8fQ7RKSeH85vcpCjR4/StGlTjh496oi3b9+eQYMGuZSVcUtKB7NLdRwcP348rVq18pqlzpjsxl+rZ30CHBGR30VkuYi8LSJ9gKV+OL/JIWJiYrjvvvv49ddfHfFGjRoxffp06zyWQ4WFhTFp0iRGjBjhtW/JkiXceeed/PLLLy5kZkzW8NfqWeWBO/DMRrYTqAk8D2z00/lNNhcTE0Pz5s354YcfHPFq1aqxaNEi8uTJ41JmJhiICMOHD2fWrFnkypXLsW/79u3UqlWLRYsWuZSdMYHlr9WzSqnqMf+klHWs13dwOHXqFM2aNWPLli2OePny5Vm/fj2lSpVyKTMTjNauXUurVq04deqU177nnnuOkSNHEhGRqe43xvhFMK2eBVBFRCL9dC6Tgxw/fpzGjRt7FekSJUqwfPlyK9LGS4MGDdi4cSO33nqr17633nqLBg0asHfv3qxPzJgA8Veh/hdwVkS2i8gcERksIveLyPV+Or/Jhg4dOkTDhg3ZunWrI16yZElWrlzJTTfd5FJmJthVrFiRjRs38vjjj3vt27BhA9WrV+fjjz92ITNj/M8fhfo/wK1AM+A9+P/27j06yjq/4/j7m8mNm1LIcjHAQS6BgFnbItWtCApn0bPihbq7YC3Virtuj2hzjuUUV0tR63E9q+YPF9vaiixpC63HI2yxbFUusmdlkcsGWC6JgiBIRC5KMCbk9usfz0x2MjMht5nM8ySf1znPmTzXfL/ze2a+M8/zm+ehGpgL/DdwLAnblx6orKyMa6+9loMHD7aYnp+fz9atWxN+WxKJ1q9fP1atWsXLL79MVlbLA3rnz59n/vz5LFy4MO5nfiJB0+Vz1K1u2OuiO9Y591FK/kES6Bx1erz11lvMmzeP6urqFtNHjx7Nxo0bGTNmTJoik6DasWMHd999d9wvBsDbr1asWMFNN92UhsikN/PbOeo4zuPbIi3psXz5cm6//fa4Ij1+/Hi2bt2qIi2dMnXqVHbv3p3wUPjRo0eZOXMmjzzyCF9//XUaohPpmpQVapFotbW1PPDAAyxatIimpqYW86ZNm8a2bdsYOXJkmqKTnuCyyy6jtLSUVatW0b9//7j5L730EkVFRbqxhwSOCrWk3LFjx7jhhht49dVX4+bdc889vPvuuwwePDgNkUlPtGDBAvbs2cP06dPj5h05coQ5c+Zw5513qme4BIYKtaTU22+/zZQpU9i5c2fcvKVLl1JaWkpOTk4aIpOebMyYMWzevJmSkpKEF8tZt24dkyZN4oknnuCLL75IQ4Qi7adCLSlRU1NDcXExN998M2fPnm0xr2/fvqxevZonn3xSlwWVlMnIyKC4uJiysjKuv/76uPk1NTU888wzXHnllTz99NNUVXW6r49ISqWs13cQqNd3auzatYsFCxbE/fQKvE5jb775JpMnT05DZNJbNTU1UVpayuLFizl9+nTCZQYNGsT999/Pgw8+yLhx47o5QumJfN/rW3qfqqoqlixZwnXXXZewSN9xxx3s2LFDRVq6XUZGBvfeey/l5eU89NBDZGTEv/WdO3eO559/nvHjxzN79mxWr16tw+LiC/pGrW/UXdbY2MjKlSt5/PHH425PCZCbm8tzzz3HokWLEr5BinS3Q4cOsWzZsjavXhYKhZg2bRq33nor06dP5+qrr9YNYqTdkvWNWoVahbrTGhoaeOONN3j22WfjLgMaMWXKFEpLSyksLOzm6ETatnfvXpYuXcq6devatXxWVhZFRUVcc801XHXVVUyePJnJkyczZMgQ9beQOCrUSaBC3TkXLlxgxYoVlJSUcOxY4qvEZmZmsmTJEpYuXRp3eUcRvykvL+eVV17htdde69Th7kGDBjFp0qTmobCwkIkTJzJixAgdRerFVKiTQIW6/Wpra9mwYQOrV69m/fr11NTUtLrsnDlzeOGFFygoKOjGCEW6rqamhtdff501a9awadMmLl682KXt9e3bl4kTJ1JQUNBiGD9+PAMHDkxS1OJXKtRhZvYQsBgYBuwBHnbOfdDOdVWoW9HY2MiePXvYsmUL7733Hps3b27z5gaTJk2ipKSE2bNnd1OUIqlTXV3Npk2bWL9+PVu3bqW8vJxkvl8OGTKEgoICxo0bx7hx4xg7dixjx45l9OjR5OXl6VB6D6BCDZjZPGAV8CNgO1AMfA+Y4Jz7vB3r9+pC3dTUxOnTpzl+/DjHjx/no48+4sCBA+zfv58DBw7EXY+7NVOnTmXx4sXMnTuXzMzMFEctkh5VVVXs3r2bHTt2sG/fPvbv38/BgwcveXSps3Jzcxk1ahQjR45k5MiRjBgxgvz8fPLz8xk+fDjDhw9nyJAhOq3kcyrUgJltB3Y45xaFxzOA48BLzrmftGP9LhfqysrKNgta7HMcGY9+bGpqan5sbGxsMURPS/R3fX09DQ0N1NfXU19fT21tLbW1tdTU1FBdXc1XX33FhQsXuHDhAufOnePMmTOcPXuW06dPU1dX16m8Q6EQc+bM4dFHH2XatGn69C+9UmNjI0ePHuXAgQMcPHiw+YNueXl5ym+vaWYMHDiQyy+/vHnIzc0lMzOTrKwssrKyyMjIICMjAzMjFAo1T8/KyiInJ4c+ffqQm5tLbm4uOTk5ZGdnt1g3NtfIe45zrnmIxJKZmUkoFCIUCpGZmdliiMQRiSUyRNaNHiLLxD5G/k40PXaI3u6lnr+25OXldekURa8v1GaWDXwNfNc5tzZq+s+Bgc65O9qxjS4X6rlz57J27dq2F+wBzIwZM2Ywf/587rrrLvLy8tIdkogvOec4efIkhw4d4tChQ3z44YdUVFRQUVHB0aNHaWxsTHeI0g4lJSUUFxd3ev1kFeogH6fMA0JA7A93TwETE61gZjlA9IWlB6QmtJ6joKCAGTNmMGPGDGbOnMnw4cPTHZKI75lZ86HqWbNmtZhXV1fHxx9/TEVFBeXl5Rw+fLh5OHbsmIq4xAlyoe6Mx4B/SHcQfhMKhbjiiisYNWoUhYWFzb8NLSoqYtiwYekOT6RHyc7OZsKECUyYMIHbbrutxbyGhgYqKyv55JNPmodPP/2UEydOcOLECU6ePMmpU6doaGhIU/SSDkEu1GeARmBozPShwGetrPMs8GLU+ADgRPJD67zIuZfIuZ7IEJkWOy8jI6P5nFJmZibZ2dnN55xyc3Pp06cPAwYMYMCAAfTv359BgwaRl5fH4MGDycvLIz8/n2HDhhEKhdKdukivl5mZ2dyBLNGNRMDrBHr27FkqKys5d+4cVVVVnD9/nvPnz1NXV9eiz0p035fofiz19fXU1dVRU1PT3J8lMi0yQMt+NNHvObHnhKP7zjQ0NDQ/Rv5nJIZIPO0ZYpdPNB7UU7cdFdhz1NDcmewD59zD4fEM4BPgZ93VmSyyE3ZUbKeHyM4vIiIdEynckb+jH6OX6ajIh5PO0jlqz4vAz81sJ/AB3s+z+gGvdVcA+nmEiEh6RXq191SBLtTOuf8ys28AT+Fd8KQMuMU5F39niEvQfWhFRCTZklVbAn3ou6vMLB+fnaMWEZEeZ4Rz7tPOrtzbC7UBVwCduTJBpCPaiE6u72fKLZiUW3D15Px6e24DgJOuC8U20Ie+uyr8xHXqU05Ux68LXekk4EfKLZiUW3D15PyUG13OWfdfExER8TEVahERER9Toe68i8CT4ceeRrkFk3ILrp6cn3Lrol7dmUxERMTv9I1aRETEx1SoRUREfEyFWkRExMdUqEVERHxMhTrMzB4ys6NmVmtm283sTy6x7J+Z2U4z+9LMqs2szMwWxCyz0sxczPDL1GfSasztzi9mvfnh2NfGTDcze8rMKs2sxszeNbPxqYm+zRiTnZtv2q6D++V9CeKujVkmkO3WztwC2W7h5Qea2fJwu1w0swoz+05Xtpkqyc7NzJYlaLdDqc8kYawd2Se3JIjbmdlbUcsk5/XW3nuD9uQBmIfXvf6vgEnAK8AXwJBWlr8RmAsUAmOBvwEagJujllkJbMC7WUhk+IMg5Be13mi8y+NtBdbGzPs74EvgDuCbwDrgCJDbA3LzRdt1Yr+8DzgfE/fQntBu7cwtqO2WDewA3gKuD++bM4Cru7qfByS3ZcDvYtotLwDtNigm5sl4deC+qGWS8nrr1ifCrwOwHe8e1pHxDLxLiy7pwDZ2A09Hja8kpgAEKT8gBPwaWBibC2BAJfC3UdMuB2qB+UHOzU9t19Hc8IrZl5fYXmDbra3cAt5uPwIOA1nJ2mbAclsGlAWt3RKsX4x3udB+4fGkvd56/aFvM8sGpgDvRqY555rC499qx/pmZrOACXjfzqLdaGafm1m5mf2TmQ1OYujt0oX8lgKfO+deTTDvSrxPkNHbPI+3o7f5nCVLinKLSGvbdSG3/mZ2zMyOm9k6M5scNS/o7Xap3CKC2G63A9uA5WZ2ysx+Z2Y/NrNQF7aZdKnILcp4MztpZkfM7D/MbFQqcmhNkp7jhcAa51x1eDxpr7deX6iBPLxvWLH3sD6F9yQnZGaXm9lXQB3eYZ2HnXPvRC3yS+AvgVl4hz9mABsS7KCp1uH8zGwa3k73g1a2GVmvQ89ZCqQiN/BH23VmvywH7sc7zPYXeK/v981sRHh+YNuNtnOD4LbbGOC74fW+AzwNPAo80YVtpkIqcgOvcN0H3AL8NV6B+5WZDUhW4O3Qpec4fC77KuDfoiYn7fXWq++e1UUXgD8E+uO9MbxoZkecc1sAnHNropbdZ2Z78Q4B3Qhs7N5Q2y/84igFfuCcO5PueJKpvbkFte2cc9vwvr0AYGbvAweBB4G/T1dcydCe3ILabngfOj4HfuicawR2mVk+sBjv8pRB1mZuzrkNUcvvNbPtwDHg+8Cljnr5yUJgn3Pug1RsXIUazgCNwNCY6UOBz1pbKXxY5KPwaJmZFQKPAVtaWf6ImZ0BxtG9bxodzW8sXoeP/7Hf38ItA8DMGvAO8UfWG4p3DiZ6m2XJCLqdkp6bc+5w7EppartO7ZfRnHP1ZvZbvLghuO0WJ0FuiZYJSrtVAvXhQhZxEBgWPiTb5ecrSZKem3OuLnYF59yXZlbBJdo2BTr9HJtZP2A+3im1aEl7vfX6Q9/hHWUX3rdiAMwsIzy+rbX1EsgAclqbGT5EN5iWDZZyncjvEFCEd7QgMvwC2Bz++zjwMd5OGL3Ny4BrW9lmSqQotzjpaLtk7JfhQ75F/D7uoLZbnAS5JVomKO32a2BceLmIAqDSOVeXxPeoLklFbolWMLP+eB+q/d5uEd/De+//95jpyXu9pbunnR8GvG75tcC9eD+5+he8bvlDw/NXAc9GLf8Y8G288y+FeOdc6oEHwvP7Az8FrsP7BjcLbyeoAHL8nl+C9VeS+OdZX+B1FikC1pK+n/kkLTc/tV0n9sulwOzwfvnHwGqgBpgU9HZrK7eAt9tIvN7CL+EVsVvxzmM+3t5tBjy35/H6E4wG/hR4BzgNfMPPuUWt9yu8TmSJtpmU11u3PQl+H4BFeOdFLuJ1brg2at4WYGXU+D8CH4bfKM4B7wPzoub3Af4P79xMHXAU7zd53fqi6mx+CdZdSXyhNuApvE+MtXg9GwuCnpvf2q6D+2VJ1LKf4XVy/KOe0G5t5RbkdgtP+xbwm3CbHAZ+DITau80g5wasAU6Gt3ciPD42ILlNABzw7Va2l5TXm25zKSIi4mO9/hy1iIiIn6lQi4iI+JgKtYiIiI+pUIuIiPiYCrWIiIiPqVCLiIj4mAq1iIiIj6lQi4iI+JgKtYiIiI+pUItIQmZ2nZltNLOzZuZihsvSHZ9Ib6FCLSJxzOxqvGsb/xa4AbgF77r2G/Gua1+VvuhEehdd61tE4pjZe8Cnzrk/j5r2M2AK8H2gFBgCNABPO+deT0ugIr1AZroDEBF/MbOhwDS8Ww9Gq8a7U1ADUOycKzOzYcAuM/tf51x1N4cq0iuoUItIrCl4p8X2JJi+0zlXCVQCOOc+M7MzwCC8Qi4iSaZz1CISK/K+0C8ywcy+CUwH/jN6QTObgndv4ePdF55I76JCLSKxtgM1wE/NbKKZ3Qr8AljunPtNZCEzGwSsAn6YnjBFegd1JhOROGY2B3gBuBL4BPhn4EXnXFN4fg7wDvCvzrnStAUq0guoUItIh5iZ4R0CL3fOLUtzOCI9ngq1iHSImU0DtgJ7oyYvcM7tS1NIIj2aCrWIiIiPqTOZiIiIj6lQi4iI+JgKtYiIiI+pUIuIiPiYCrWIiIiPqVCLiIj4mAq1iIiIj6lQi4iI+JgKtYiIiI+pUIuIiPiYCrWIiIiPqVCLiIj42P8DRVv4OhHlULUAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pymcmcstat import mcmcplot as mcp\n", "mcp.plot_density_panel(chain, names);\n", "mcp.plot_chain_panel(chain, names);\n", "mcp.plot_density_panel(np.sqrt(s2chain), ['$\\\\sigma_1$', '$\\\\sigma_2$']);\n", "print(np.mean(np.sqrt(s2chain), axis = 0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We observe that the estimated observation error standard deviations have mean values around 0.11 and 0.50. As the data was generated assuming 0.10 and 0.50, this result is in good agreement." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot Prediction/Credible Intervals for Multiple Data Sets" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 500 of 500 complete in 0.0 sec" ] } ], "source": [ "# generate prediction intervals\n", "from pymcmcstat import propagation as up\n", "from pymcmcstat.MCMC import DataStructure\n", "\n", "def predmodel(q, data):\n", " return modelfun(data.xdata[0], q)\n", "\n", "pdata = []\n", "intervals = []\n", "nds = len(mcstat.data.xdata)\n", "for ii in range(nds):\n", " pdata.append(DataStructure())\n", " pdata[ii].add_data_set(mcstat.data.xdata[ii], mcstat.data.ydata[ii])\n", " intervals.append(up.calculate_intervals(chain, results, pdata[ii], predmodel,\n", " waitbar=True, s2chain=s2chain[:, ii]))\n" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot prediction intervals\n", "data_display = dict(marker='o', color='b', mfc='w')\n", "model_display = dict(color='r', linestyle='--')\n", "for ii, interval in enumerate(intervals):\n", " fig, ax = up.plot_intervals(\n", " interval,\n", " time=pdata[ii].xdata[0],\n", " ydata=pdata[ii].ydata[0],\n", " adddata=True,\n", " model_display=model_display,\n", " data_display=data_display)\n", " ax.set_xlabel(str('$x_{}$'.format(ii + 1)), fontsize=22)\n", " ax.set_ylabel(str('$y_{}$'.format(ii + 1)), fontsize=22)\n", " ax.set_title(str('Data Set {}'.format(ii + 1)), fontsize=22)\n", " ax.tick_params(labelsize=22)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Discussion\n", "We observe the expected behavior as about 95% of the data points are contained within the 95% prediction interval. The prediction intervals are generated by propagating uncertainty from the parameters and the observation error chain, so this result further supports that our algorithm successfully estimates the observation errors in the data." ] } ], "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": "3.6.8" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": true, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }