From f0d29a7ae097349bed4d86b7cab7349b1dd4b6e7 Mon Sep 17 00:00:00 2001 From: Fabi Date: Sun, 25 Aug 2024 23:14:23 +0200 Subject: [PATCH] added function for aperiodic error --- examples/hset_optimization.ipynb | 592 +++++++++++++++++++++++++++++++ pyrasa/utils/fit_funcs.py | 12 +- pyrasa/utils/irasa_spectrum.py | 49 +++ 3 files changed, 648 insertions(+), 5 deletions(-) create mode 100644 examples/hset_optimization.ipynb diff --git a/examples/hset_optimization.ipynb b/examples/hset_optimization.ipynb new file mode 100644 index 0000000..a7414fb --- /dev/null +++ b/examples/hset_optimization.ipynb @@ -0,0 +1,592 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Optimize your hset\n", + "\n", + "IRASA - as an algoritm - is very appealing, because its so simple. In the end we are just up/downsampling signals, computing psd's and averaging them.\n", + "This means that we only have a single hyperparameter to set when running a model, the set of up- and downsampling factors. \n", + "Correctly specifying the hset is very important to avoid poorly specified models (see also irasa_pitfalls.ipynb and improving_irasa_models.ipynb).\n", + "In both examples we looked at rather simple spectra, where power decreases with the same exponent across the whole spectrum.\n", + "Here we consider also spectra that contain a spectral knee and introduce an approach to improve your hset specification. In the presence of spectral knees." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from neurodsp.sim import sim_combined\n", + "from neurodsp.utils import create_times\n", + "import numpy as np\n", + "import scipy.signal as dsp\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "from pyrasa.irasa import irasa\n", + "import seaborn as sns\n", + "\n", + "# %% Lets check the knee\n", + "fs = 1000\n", + "n_seconds = 60\n", + "knee_freq = 15\n", + "exp = 1.5\n", + "knee = knee_freq ** exp\n", + "duration=6\n", + "overlap=0.5\n", + "\n", + "sim_components = {'sim_knee': {'exponent1' : -.0, 'exponent2': -1*exp, 'knee': knee}, \n", + " #'sim_powerlaw': {'exponent' : -1*exp}, \n", + " 'sim_oscillation': {'freq' : 10}}\n", + "\n", + "sig = sim_combined(n_seconds=n_seconds, fs=fs, components=sim_components)\n", + "times = create_times(n_seconds=n_seconds, fs=fs)\n", + "\n", + "\n", + "max_times = times < 1\n", + "f, axes = plt.subplots(ncols=2, figsize=(8, 4))\n", + "axes[0].plot(times[max_times], sig[max_times])\n", + "axes[0].set_ylabel('Amplitude (a.u.)')\n", + "axes[0].set_xlabel('Time (s)')\n", + "freq, psd = dsp.welch(sig, fs=fs, nperseg=duration*fs, noverlap=duration*fs*overlap)\n", + "axes[1].loglog(freq, psd)\n", + "axes[1].set_ylabel('Power (a.u.)')\n", + "axes[1].set_xlabel('Frequency (Hz)')\n", + "\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When things are specified correctly we can rather unproblematically regenerate our simulated aperiodic model parameters." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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OffsetKneeExponent_1Exponent_2fit_typeKnee Frequency (Hz)tauch_name
02.233315e-0863.0881990.0222261.509668knee14.3938850.0110570
\n", + "
" + ], + "text/plain": [ + " Offset Knee Exponent_1 Exponent_2 fit_type \\\n", + "0 2.233315e-08 63.088199 0.022226 1.509668 knee \n", + "\n", + " Knee Frequency (Hz) tau ch_name \n", + "0 14.393885 0.011057 0 " + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ], + "text/plain": [ + " Offset Knee Exponent_1 Exponent_2 fit_type \\\n", + "0 6.794973e-09 66.225094 0.238 1.320869 knee \n", + "\n", + " Knee Frequency (Hz) tau ch_name \n", + "0 10.314344 0.01543 0 " + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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9BFAg/GzZsoUNGza4HPvkk08ICQmhbdu2AFx11VXs2bOHiIgI2rdvX+CjtA0nL7/8cn799VdnUMrx4YcfEhgYyGWXXQaYS0VFjfN8cpbApk2bVuLxFdU4dNu2bUBuyMnxyy+/cPToUefjrKwsZs+eTb169ahRowZg/iw3b95MvXr1Cv1Z5lxzwIABnD179rxtBvz8/Dhz5kyJvq/atWtz7Ngxl7FmZGSwYMGCEl1HpKLQjJPIJSghIYFvvvmG/v37c/XVVxd6zquvvsqHH37I5MmTnXdXxcTEMGTIEJ588kmio6P5+OOPWbhwIc8//zyBgYEATJw4kTlz5tCjRw/+9a9/0bJlSxwOB3Fxcfz000/cd999dOrUqcRjfuKJJ5w1P48//jjh4eHMmjWL77//nhdeeIGwsDDn+7///vsMGjSIZ555xnlX3fbt28/7Ht27d2fkyJE888wzHD16lKuuugo/Pz/WrVtHYGAgd999d5GvbdasGZdffjkDBgygXr16nD17lj/++IOXX36ZqKgoxo4d63J+ZGQkffr04bHHHnPeVbd9+3aXlgRPP/00CxcupEuXLtxzzz00atSIs2fPsm/fPubPn8/bb79NjRo1uPHGG5kxYwbjx49nx44d9O7dG4fDwR9//EGTJk0YMWIEAC1atGDx4sV89913REdHExISQqNGjYr9mdxwww08/vjjjBgxggceeICzZ8/yxhtvkJWVdd6fp0iF5OnqdBEpezl3NM2dO7fIc95++20DMObMmWMYhnlX3aBBg4wvv/zSaNasmeHr62vUrl3beOWVVwq8NiUlxXj00UeNRo0aGb6+vkZYWJjRokUL41//+pfLnWSAMWHChELfn3x31RmGYWzatMkYPHiwERYWZvj6+hqtWrUyZsyYUeC1W7duNa644grD39/fCA8PN8aOHWt88803572rzjAMIysry3j11VeN5s2bO8feuXNn47vvvivyZ2UYhvHOO+8Yw4YNM+rWrWsEBgYavr6+Rr169Yzx48cb8fHxBb63CRMmGFOnTjXq1atn+Pj4GI0bNzZmzZpV4LrHjx837rnnHqNOnTqGj4+PER4ebrRr18545JFHXO5eO3PmjPH4448bDRo0MHx9fY2IiAijT58+xooVK5znrF+/3ujatasRGBhoAEbPnj0Nw8i9qy7/nZA55s+fb7Ru3doICAgw6tata7z11ltF3lWX/5/n3r17DcB48cUXXY4vWrTIAIwvvvii2J+ryMVGncNFBDCXbJo3b868efM8PZSLns1mY8KECbz11lueHoqIlDHVOImIiIi4ScFJRERExE1aqhMRERFxk2acRERERNyk4CQiIiLiJgUnERERETcpOImIiIi4SZ3Di+FwODh06BAhISFu77clIiIiFxfDMEhOTnZrM20Fp2IcOnSI2NhYTw9DRERELoD4+HjnXpJFUXAqRkhICGD+IENDQz08GhERESkPSUlJxMbGOv/uF0fBqRg5y3OhoaEKTiIiIpc4d8pyVBwuIiIi4iYFJxERERE3KTiJiIiIuEnBSURERMRNCk4iIiIiblJwEhEREXGTgpOIiIiImxScRERERNyk4CQiIiLiJgUnERERETcpOImIiIi4ScFJRERExE0KTiIiIiJuUnASERERcZOCk4iIiIibFJxERERE3KTgJCIiIuImBScREbG0nUeTScvI9PQwRAAFJxERsbDNB0/T79Ul3P/FBk8PRQRQcBIREQs7cPKMy2cRT1NwKsSUKVNo2rQpHTp08PRQREQqtCyH4fJZxNMUnAoxYcIEtm7dyqpVqzw9FBGRCi3T4QAUnMQ6FJxERMSycgJTpoKTWISCk4iIWFamlurEYhScRETEsnJnnBweHomIScFJREQsyznjlKUZJ7EGBScREbGsrCxzpkk1TmIVCk4iImJZqnESq1FwEhERy9JddWI1Ck4iImJZmnESq1FwEhERy9JddWI1Ck4iImJZmnESq1FwEhERy8rSlitiMQpOIiJiWTkzTg4DHApPYgEKTiIiYll5G19mGQpO4nkKTiIiYll52xBouU6sQMFJREQsK+/ddOrlJFag4CQiIpaVd5ZJ+9WJFSg4iYiIZWXmCUvq5SRWoOAkIiKWlaUaJ7EYBScREbGsvHVNqnESK1BwEhERy9KMk1iNgpOIiFiW7qoTq1FwEhERy3KdcVJxuHiegpOIiFiWapzEahScRETEslTjJFaj4CQiIpaVt4+TgpNYgYKTiIhYVpaW6sRiFJxERMSy8t5VpxknsQIFJxERsSyXGSftVScWoOAkIiKWlanicLEYBScREbEs1xon9XESz1NwEhERy9KMk1iNgpOIiFiW7qoTq1FwEhERy9JddWI1Ck4iImJZee+k04yTWIGCk4iIWFamNvkVi7nkg9O8efNo1KgRDRo04L333vP0cEREpARc96rz4EBEsnl7egDlKTMzk0mTJrFo0SJCQ0Np27Ytw4YNIzw83NNDExERN2Rm5a1xUnISz7ukZ5z+/PNPmjVrRvXq1QkJCWHgwIEsWLDA08MSERE36a46sRpLB6clS5YwePBgYmJisNlszJ07t8A5U6dOpU6dOvj7+9OuXTuWLl3qfO7QoUNUr17d+bhGjRocPHjwQgxdRETKgPo4idVYOjilpqbSqlUr3nrrrUKfnz17NhMnTuSRRx5h3bp1dO/enQEDBhAXFweAYRT8l8xms5XrmEVEpOxorzqxGkvXOA0YMIABAwYU+fwrr7zC2LFjGTduHACvvfYaCxYsYNq0aUyePJnq1au7zDAdOHCATp06FXm99PR00tPTnY+TkpLK4LsQEZHSMAxDM05iOZaecSpORkYGa9asoV+/fi7H+/Xrx4oVKwDo2LEjmzdv5uDBgyQnJzN//nz69+9f5DUnT55MWFiY8yM2NrZcvwcRESla/pykGiexgos2OJ04cYKsrCyioqJcjkdFRXHkyBEAvL29efnll+nduzdt2rThgQceICIioshrPvzww5w+fdr5ER8fX67fg4iIFC3/pr66q06swNJLde7IX7NkGIbLsSFDhjBkyBC3ruXn54efn1+Zjk9EREon/9KcZpzECi7aGafIyEi8vLycs0s5jh07VmAWSkRELj75g5JqnMQKLtrg5OvrS7t27Vi4cKHL8YULF9KlSxcPjUpERMpKVpZmnMR6LL1Ul5KSwu7du52P9+7dy/r16wkPD6dmzZpMmjSJkSNH0r59ezp37sy7775LXFwc48eP9+CoRUSkLGjGSazI0sFp9erV9O7d2/l40qRJAIwaNYqZM2dyww03kJCQwNNPP83hw4dp3rw58+fPp1atWp4asoiIlJECNU7q4yQWYOng1KtXr0KbWOZ15513cuedd5bp+06ZMoUpU6aQlZVVptcVERH35b+rznGevwciF8JFW+NUniZMmMDWrVtZtWqVp4ciIlJhFbyrTu0IxPMUnERExJJU4yRWpOAkIiKWpBonsSIFJxERsaRzWfk7hys4iecpOImIiCWpc7hYkYKTiIhYkmqcxIoUnAoxZcoUmjZtSocOHTw9FBGRCkt31YkVKTgVQu0IREQ8L38xuGacxAoUnERExJJU4yRWpOAkIiKWlH9pTjNOYgUKTiIiYknq4yRWpOAkIiKWVOCuOu1VJxag4CQiIpaUf8ZJS3ViBQpOIiJiSflnnFQcLlag4FQI9XESEfG8rALF4erjJJ6n4FQI9XESEfG8nGJwXy+7y2MRT1JwEhERS8qpafLztrs8FvEkBScREbGknJomPx8FJ7EOBScREbGk3BknL0DF4WINCk4iImJJmVqqEwtScBIREUvKuYvONzs45d+CRcQTFJxERMSSNOMkVqTgJCIilpTTfkA1TmIlCk4iImJJuqtOrEjBqRDqHC4i4nk5NU45M04KTmIFCk6FUOdwERHPyz/jpKU6sQIFJxERsaSsLBWHi/UoOImIiCVl5muAmeUwMAyFJ/EsBScREbGk/HvV5T0m4ikKTiIiYkn5a5zyHhPxFAUnERGxpPx31ZnHFJzEsxScRETEkvJ3Ds97TMRTFJxERMSSVOMkVqTgJCIilpQzu+Rtt2G35RzTRr/iWQpOIiJiSTmtB7zsNryyk1PO/nUinqLgVAhtuSIi4nnOySWbDbvNDE4O9XESD1NwKoS2XBER8TwDMyTZgOzchHKTeJqCk4iIWFJOSLLnmXES8TQFJxERsaScG+hsNnPWyTymKSfxLAUnERGxKDMk2W1gy55xUm4ST1NwEhERS3LOOGFz1jhpxkk8TcFJREQsKacdQd6lOsUm8TQFJxERsaTcGicbdruW6sQaFJxERMSScjKSPe+Mk5KTeJiCk4iIWFLepbqcdgSKTeJpCk4iImJJefs4qThcrELBSURELMk1JKnGSaxBwUlERCzJtXO46zERT1FwEhERS3LkbUegpTqxCAWnQkyZMoWmTZvSoUMHTw9FRKTCyr2rTnvViXUoOBViwoQJbN26lVWrVnl6KCIiFZbzrjq0V51Yh4KTiIhYkpGnAab2qhOrUHASERFLKqzGSblJPE3BSURELCknJNlQcbhYh4KTiIhYkms7Ai3ViTUoOImIiCXl3XJFe9WJVSg4iYiIJeVtR2DTXnViEQpOIiJiSc56przF4UpO4mEKTiIiYkkum/xmH1NxuHiagpOIiFiSI3fCScXhYhkKTiIiYkk5heBmjZPrMRFPUXASERFLyu0cDjmLdYpN4mkKTiIiYkkGhXQOV3ISD1NwEhERS8qtccptR6DicPE0BScREbGk3Bon8wO0VCeep+AkIiKWlFvjZNNedWIZCk4iImJJuZ3Dc4vDNeUknqbgVIgpU6bQtGlTOnTo4OmhiIhUWI48e9XlLtUpOYlnKTgVYsKECWzdupVVq1Z5eigiIhVW7qpc7m11DofHhiMCKDiJiIhFOVQcLhak4CQiIpbkUhyefUzF4eJpCk4iImJpdhvOPk7KTeJpCk4iImJJzuJwbM6lOi3WiacpOImIiCUVtledQ7lJPEzBSURELClvOwLtVSdWoeAkIiKWlNsAU53DxToUnERExJKMvDNO2Ut1ik3iaQpOIiJiSTmTS3abDbs955iik3iWgpOIiFhS7l11eWaclJvEwxScRETEknIyki1PjZP2qhNPU3ASERFLcjjy3lWnverEGhScRETEklzuqst3TMRTFJxERMSSnA0wyd3kV+0IxNMUnERExJJy7qAz+zg5i5xEPErBSURELMmRZ8sVu4rDxSIUnERExJJcQ5L2qhNrUHASERFLyglJdrtNe9WJZSg4iYiINak4XCxIwUlERCwpZ6nObEegverEGhScRETEklyKw3P+WmnGSTxMwUlERCwppx2BzZa7V52Kw8XTFJxERMSSnDNO2HJuqnOGKRFPUXAqxJQpU2jatCkdOnTw9FBERCqkvAHJbjPrnEAzTuJ5Ck6FmDBhAlu3bmXVqlWeHoqISIWUd2LJpr3qxEIUnERExHLyBiR73s7hWqoTD1NwEhERy8nbr8lG7l51yk3iaQpOIiJiOS5LdXbyLNUpOYlnKTiJiIjluM444ZxxUnG4eJqCk4iIWJrdpr3qxDoUnERExHJcZpzyFodrqU48TMFJREQsJ+/MkstedcpN4mEKTiIiYjmOfAnJpnYEYhEKTiIiYjl545HNpuJwsQ4FJxERsZwCS3UqDheLUHASERHLMfK1I1BxuFiFgpOIiFhOUcXhWqoTT1NwEhERyymqHYHW6sTTFJxERMRyXIvDbSoOF8tQcBIREcvJmXHKKQrPoRon8TQFJxERsZ7sfGTPTk45n7VSJ56m4CQiIpaTsySXM+GUM/OkpTrxNAUnERGxnJwludwZJ9fjIp6i4CQiIpbjnFnKDkw2LdWJRSg4iYiI5eQ0wMyZabLlOy7iKQpOIiJiOYazxsmMTGpHIFah4CQiIpZjOO+qMz9rrzqxCgUnERGxnNw+TioOF2tRcBIREcvJVxvuXLLTjJN4moKTiIhYTv7O4blLdUpO4lkKTiIiYjnO4nCbisPFWhScRETEgopoR6AaJ/EwBScREbEcR74ZJ+1VJ1ah4CQiIpZTVDsCLdWJpyk4iYiI5TgM1/vqbM5nlJzEsxScRETEcvLPONmzv3A4PDQgkWwKTiIiYjn52xHkUHG4eJqCk4iIWJZdxeFiMQpOIiJiOc4Zp+zHKg4Xqyh1cIqPj2fp0qUsWLCAtWvXkp6eXpbjKlNDhw6lcuXKDB8+3NNDERERNxRogJlzXEt14mElCk779+/n4Ycfpnbt2tSuXZuePXsyYMAA2rdvT1hYGFdccQVffPEFDotV791zzz18+OGHnh6GiIi4KX+Nk5bqxCrcDk733nsvLVq0YNeuXTz99NNs2bKF06dPk5GRwZEjR5g/fz7dunXjscceo2XLlqxatao8x10ivXv3JiQkxNPDEBERN+XkI7tzy5Xs40pO4mFuBydfX1/27NnDl19+yS233ELjxo0JCQnB29ubqlWr0qdPH5544gm2b9/OCy+8wP79+9267pIlSxg8eDAxMTHYbDbmzp1b4JypU6dSp04d/P39adeuHUuXLnX7GxQRkYuPUWCT3+wZJ08NSCSbt7snvvjii25fdODAgW6fm5qaSqtWrbj11lu59tprCzw/e/ZsJk6cyNSpU+natSvvvPMOAwYMYOvWrdSsWROAdu3aFVpj9dNPPxETE+P2WERExBpy+zi51jipOFw8ze3gVF4GDBjAgAEDinz+lVdeYezYsYwbNw6A1157jQULFjBt2jQmT54MwJo1ay7IWEVE5MJw7lWX/VhLdWIVZdqO4D//+Q9jxowps+tlZGSwZs0a+vXr53K8X79+rFixoszeJ0d6ejpJSUkuHyIicuE5A5KKw8ViyjQ4HTx4kH379pXZ9U6cOEFWVhZRUVEux6Oiojhy5Ijb1+nfvz/XXXcd8+fPp0aNGkUWrk+ePJmwsDDnR2xs7N8av4iIlI4j/1JdzoyTqpzEw8p0qe6DDz4oy8s52fL13DcMo8Cx4ixYsMCt8x5++GEmTZrkfJyUlKTwJCLiATkBKXepTjNOYg0er3EqTmRkJF5eXgVml44dO1ZgFqos+Pn54efnV+bXFRGREiqyOFzJSTyrVMHp6aefLvb5xx9/vFSDyc/X15d27dqxcOFChg4d6jy+cOFCrr766jJ5DxERsR5ncbjN9bNyk3haqYLT119/7fL43Llz7N27F29vb+rVq1ei4JSSksLu3budj/fu3cv69esJDw+nZs2aTJo0iZEjR9K+fXs6d+7Mu+++S1xcHOPHjy/N0EVE5CLgXKrLt8mv2hGIp5UqOK1bt67AsaSkJEaPHu0yM+SO1atX07t3b+fjnBqjUaNGMXPmTG644QYSEhJ4+umnOXz4MM2bN2f+/PnUqlWrNEMXEZGLQIF2BM5nlJzEs8qsxik0NJSnn36aq666ipEjR7r9ul69ep23L8edd97JnXfe+XeH6LYpU6YwZcoUsrKyLth7iohIrpy/C/bse7/VjkCsokzbEZw6dYrTp0+X5SU9YsKECWzdutVS++2JiFQkuW2ccoqczE8qDhdPK9WM0xtvvOHy2DAMDh8+zEcffcSVV15ZJgMTEZGKK6fGye6am7RQJx5XquD06quvujy22+1UqVKFUaNG8fDDD5fJwEREpOJyOLK/UHG4WEypgtPevXvLehwiIiJOOfnIXqAdgZKTeFaZ1jiJiIiUhZxappwlOnsJdosQKU9lGpymTp163uaYIiIi52MUsVedisPF08o0OM2ZM4eZM2eW5SU9YsqUKTRt2pQOHTp4eigiIhVSzpJc/okm5SbxtDINTr/88gt//fVXWV7SI9SOQETEs3LyUcHO4UpO4lmqcRIREcvJX+OkverEKv5W5/CtW7cSFxdHRkaGy/EhQ4b8rUGJiEjFZuTb5Fedw8UqShWc/vrrL4YOHcqmTZuw2Wx51qLNX2xtVSIiIn9HbjuC7OJw53ElJ/GsUi3V3XvvvdSpU4ejR48SGBjIli1bWLJkCe3bt2fx4sVlPEQREalo8heHa6lOrKJUM04rV67k119/pUqVKtjtdux2O926dWPy5Mncc889rFu3rqzHKSIiFUjBdgQqDhdrKNWMU1ZWFsHBwQBERkZy6NAhAGrVqsWOHTvKbnQiIlIh5Q9I2qtOrKJUM07Nmzdn48aN1K1bl06dOvHCCy/g6+vLu+++S926dct6jCIiUsHkn3HSXnViFaUKTo8++iipqakAPPPMM1x11VV0796diIgIZs+eXaYD9IQpU6YwZcoUFbmLiHiIo4gaJxU5iaeVKjj179/f+XXdunXZunUriYmJVK5c2bkOfTGbMGECEyZMICkpibCwME8PR0SkwilwV53N9biIp/ytPk55hYeHl9WlRESkgjMKNMBUcbhYg9vF4ePHjyc+Pt6tc2fPns2sWbNKPSgREanYchtg5uvjpNwkHub2jFOVKlVo3rw5Xbp0YciQIbRv356YmBj8/f05efIkW7duZdmyZXz22WdUr16dd999tzzHLSIilzBHEZ3DVRwunuZ2cPrvf//L3XffzfTp03n77bfZvHmzy/MhISH07duX9957j379+pX5QEVEpOLI6RBuL9AAU8lJPKtENU5Vq1bl4Ycf5uGHH+bUqVPs37+fM2fOEBkZSb169S6JwnAREfE854wTru0IRDyt1MXhlSpVolKlSmU4FBERkWzZM0v27ErcnNik4nDxtFJ1DhcRESlP+Wec0F51YhEKToWYMmUKTZs2pUOHDp4eiohIhZR/k1+72hGIRSg4FWLChAls3bqVVatWeXooIiIVkqOodgSeGY6IU4mDk2EYzqJwERGR8pATkHICk92u1uFiDaUKTg0aNODAgQPlMR4RERHnUp3dtcRJS3XicSUOTna7nQYNGpCQkFAe4xERESnYOVwTTmIRpapxeuGFF3jggQcKNMEUEREpCzkNMG3OBpgqDhdrKFUfp5tvvpm0tDRatWqFr68vAQEBLs8nJiaWyeBERKRiyt+OQHvViVWUKji99tprZTwMERGRXDkByZ6vHYGCk3haqYLTqFGjynocIiIiTg4j/1Kd+Vl71YmnlbqP0549e3j00Ue58cYbOXbsGAA//vgjW7ZsKbPBiYhIxWZ39nHKnnHy5GBEKGVw+u2332jRogV//PEHX331FSkpKQBs3LiRJ554okwHKCIiFY/DUfiMk4rDxdNKFZz+/e9/88wzz7Bw4UJ8fX2dx3v37s3KlSvLbHAiIlIxORtg5m9HoNwkHlaq4LRp0yaGDh1a4HiVKlUuif5O2qtORMSznDVO2Y+dxeEeGo9IjlIFp0qVKnH48OECx9etW0f16tX/9qA8TXvViYh4Vu5ddflnnBSdxLNKFZxuuukmHnroIY4cOYLNZsPhcLB8+XLuv/9+brnllrIeo4iIVDBG/rvqUDsCsYZSBadnn32WmjVrUr16dVJSUmjatCk9evSgS5cuPProo2U9RhERqWBy8lHOjJNdxeFiEaXq4+Tj48OsWbN4+umnWbduHQ6HgzZt2tCgQYOyHp+IiFRA+QOS9qoTqyhVcNq1axcNGjSgXr161KtXr6zHJCIiFVzuJr85n7VUJ9ZQquDUqFEjoqOj6dmzJz179qRXr140atSorMcmIiIVlCN/cbjzuJKTeFapapwOHz7MSy+9RGhoKK+++ipNmjQhOjqaESNG8Pbbb5f1GEVEpIIxcG1HYNNanVhEqYJTVFQUN954I2+//Tbbt29n586d9O/fnzlz5jBhwoSyHqOIiFQ0OTNOdhWHi7WUaqkuJSWFZcuWsXjxYn777TfWr19PkyZNuPvuu+nZs2dZj1FERCqY/A0wtVedWEWpglPlypUJDw9n5MiRPProo3Tr1o2wsLCyHpuIiFRQucXh2nJFrKVUwWnQoEEsW7aMjz76iPj4eOLi4ujVqxdNmjQp6/GJiEgF5ChwV13OcSUn8axS1TjNnTuXEydOsHDhQrp168Yvv/xCr169qFatGiNGjCjrMYqISAWTUxxuz9+OwFMDEslWqhmnHC1btiQrK4tz586Rnp7Ojz/+yFdffVVWY/OYKVOmMGXKFLKysjw9FBGRCsm5VIdrcbj2qhNPK9WM06uvvsrVV19NeHg4HTt25NNPP6VRo0Z8/fXXnDhxoqzHeMFpk18REc/KCUh27VUnFlOqGadZs2bRq1cvbrvtNnr06EFoaGhZj0tERCqwnBontFedWEypgtPq1avLehwiIiJO+WucUP9LsYhS1zidOnWK6dOns23bNmw2G02aNGHs2LFqSyAiIn+bI1+Nk5bqxCpKVeO0evVq6tWrx6uvvkpiYiInTpzg1VdfpV69eqxdu7asxygiIhWM4dyrzvWz+ZzSk3hOqWac/vWvfzFkyBD+97//4e1tXiIzM5Nx48YxceJElixZUqaDFBGRiiUnHNnytSMwn8s9LnKhlbrGKW9oAvD29ubBBx+kffv2ZTY4ERGpmPJ3Ds874+QwDOwoOYlnlGqpLjQ0lLi4uALH4+PjCQkJ+duDEhGRis2Rf8YpT1DSQp14UqmC0w033MDYsWOZPXs28fHxHDhwgM8++4xx48Zx4403lvUYRUSkgnF2I8CZnHKfU3ISDyrVUt1LL72EzWbjlltuITMzEwAfHx/uuOMOnnvuuTIdoIiIVDzFFYerl5N4UqmCk6+vL6+//jqTJ09mz549GIZB/fr1CQwMLOvxiYhIBVRccbiIJ5VoqS4tLY0JEyZQvXp1qlatyrhx44iOjqZly5YKTSIiUmZy5pTsRRSHi3hKiYLTE088wcyZMxk0aBAjRoxg4cKF3HHHHeU1NhERqaDyhyOX4nDlJvGgEi3VffXVV0yfPp0RI0YAcPPNN9O1a1eysrLw8vIqlwGKiEjFk1vjlN05PG9xuAfGI5KjRDNO8fHxdO/e3fm4Y8eOeHt7c+jQoTIfmIiIVFwF2hFoqU4sokTBKSsrC19fX5dj3t7ezjvrREREykL+Gict1YlVlGipzjAMRo8ejZ+fn/PY2bNnGT9+PEFBQc5jX331VdmNUEREKpz8d9VprzqxihIFp1GjRhU4dvPNN5fZYKxiypQpTJkyhaysLE8PRUSkQsq/5Ur+vepEPKVEwWnGjBnlNQ5LmTBhAhMmTCApKYmwsDBPD0dEpMJx1jhlP87bxUm5STypVFuuiIiIlKfi7qpTcbh4koKTiIhYjsO5VJfzWUt1Yg0KTiIiYkFmOspbFJ7ztYrDxZMUnERExHKcM055qptyZp0Um8STFJxERMRy8rcjgNwCcU04iScpOImIiOU48rUjgNxCcRWHiycpOImIiOXkRKO8bQhyHig2iScpOImIiOXkLNXZ8/yVyikOdzgUncRzFJxERMRyjMKKw13nn0Q8QsFJREQsx6BgcXhuOwIPDEgkm4KTiIhYjsNhfs5bHG5TcbhYgIKTiIhYjlFIA0xnO4ILPxwRJwUnERGxnMIbYOY8p+gknqPgJCIi1uPc5Df3kLNzuHKTeJCCk4iIWI6jkM7huSFKyUk8R8FJREQsx9kAs9DicA8MSCSbgpOIiFiOc8YpzzHtVSdWoOAkIiKWYzhrnNSOQKxFwUlERCzHKKTGyaYGmGIBCk4iImI5Odko74yTXe0IxAIUnERExHIcuZvVOWmvOrECBScREbGcQnKTlurEEhScRETEchyFFIfbVRwuFqDgVIgpU6bQtGlTOnTo4OmhiIhUSIUVhzufu8BjEclLwakQEyZMYOvWraxatcrTQxERqdBcZpyy/2Jpxkk8ScFJREQsp/AGmNqrTjxPwUlERCzHWRzu0gDT+ewFH49IDgUnERGxnMI3+dVedeJ5Ck4iImI5hTXA1F51YgUKTiIiYjm5S3W5x2zqHC4WoOAkIhedzCwHDq3XXNJy2hHYXYKTisPF87w9PQARkZJISc9k2NTlHE1K57budRjVpTYh/j6eHpaUsdxcXMhSnYrDxYMUnKRMxSWksWTXcZbtOsHq/ScBCPT1IsDHiwBfryK+9i7ynAAfLwJ9vc2vfb0IzD7u5213udtGyt6JlHT2J6RxMjWDk2nmR2LquXyPM/C22xnatjojOsRSKdDX7eufPZfFN+sP8tvO49zRsz4taoS59bqXFuxg59EU8+ufdvK/pXsVoC5BOeHIXkhxuGacxJMUnORvOX3mHCv3JLB013E27NpL0MmdNLLH0cMWzyjbEc7gS2J6KIlGCIlGCAmEctII4VD214lGKMkEQAk377TbcIauAF87gT7e+GcHq0BfL+fX4cG+3NypFrHhgeXzA7hEffpnHI/N3Uymm8thz/2wndd+3snQNjUY3aU2jaqFFHnu6bRzfPzHfmYs38eJlHQAVu07yby7uxEV6l/s+6yPP8UHK/cBcHef+szfdJg9x1N56aedvLdsL7d1r8stnWspQF0CHA7zc2HtCBScxJMUnKREMrMcbNx3lG0bV5Hw1zoCTu6gkS2Oe+zxRNlOgV/Jr5ll8ybVK4xkr0ok20M5RSgnbaEkGCGccIRwPCuEI5nBHDkXxNGsYE4STJbhRWpGFqkZWee9/gcr9jGxb0PGdquDj5fK+opjGAZv/bqblxfuBCAmzJ8qIX5UDvKlcqD5ER7kQ6VAX8Kzj8UnpjFjxT62HU7i0z/j+PTPOLrUi+DWrnXo07gqXtlTBgdOpjF92V5mr4onLfufW3SYP77edvYnpHHHx2v47PbO+HoX/s/oXJaDf8/ZiGHAsDbVua9fIyb2bci8jYd445dd7DmeyosLdvDJH3F8d3c3woPcn/0C83d76a4TNK8eRpUQ936Rz57L4t7P1tEwKoT7+jUq0fuJewqrcVJxuHiSgpMUzeHAOLmX47vXcWjXGrIObyY8ZTetOExbW/Z/uPL9BjnCamKPagZRTSGyEWRlQNoJSD0BaYl5vs5+nJGCl5FJaGYCoZkJxY/HJ/sDcPhVIisgnHP+EWT4VuKsb2XOeFcmxbsSqV5hJNnDOGUL4+cDNn6Kc/DcD9uZu+4gzw5tQbtalcv8R3UpcDgMnvpuCx+s3A/AXb3rc1+/huddEu1cL4Lr2tfgz72JzFyxjwVbjrBiTwIr9iQQGx7ATR1rsf1IEvM2HiYrewarcbUQbu9Rl6taxnDo1BmGvLWMtXGneOq7LTw7tEWh7/O/pX+x/UgylQN9eGRQEwC87Daubl2dq1rGMG/jIV74cQcHT53hP19tYtrNbd1ezo1PTOPez9axNu4UHWpX5ovxXdx63c/bjrJgi/lxdevq1K8a7Nbr5PxyO4cXVuMk4jkKTmJKOQZHt8CxrWQc2kLagY0Ent6Fr+MsVYGqOedl/5cr1R5KaqWGBMa2JDi2JUQ1gyqNsfuHlux9z52BtATzI/WE6+fCAteZk4CBPf0U9vRT+PAXxS3CXQ+crNqYD5Pb8cXRjlw7LZmbOtXkof6NCQvUck6OjEwH932xge82HALgycFNGd21jtuvt9lsdKobQae6ERw4mcZHv+/nsz/jiU88w5s/ricDb7Lwpmv9CG7vUY8eDSKdoaZ2ZBCv39iGMTNXMeuPOFpUD2NEx5ou1993IpXXf94FwGNXNSUi2HVGKCdA1asSzNCpy/lxyxHmrD3I8HY1zjv2bzcc4pGvNpGcngmYy4b7E1KpFRF03tf+sPmI8+uZK/byzDWFhz4pueLaERiacRIPUnCqaDJS4dh2OLYFjm6FY1swjm7FlnbCeYpv9gfAWcOH3dQgIbAe3tHNiW7YjlpNOhAUWo2gsijO9gmAsBrmhzscWWZ4cs5aFRW4ssNYyhEqJ23nXrZzr98s1jnqM2/1ZYzY3J3xg7szpFVMhS8yT03PZPzHa1i66wQ+XjZeuq4VV7euXurr1agcyMO9qnFfxB8k/vEJVRNWkW4PIKNWL8JaDYbq9Qtsed+7UVXuu6IhL/20k8e/2UKjaiG0qWnODBqGwX++3kR6poNu9SMZ2qbosTWvHsa/rmjICz/u4Mlvt9CpTniR9W2p6Zk88e0WvlxzAIC2NSuRZcCG+FPM23iYCb3rF/t9nj2XxaLtx5yP56w5yP39GpWoQF6KVlzncOUm8SQFp0tVViYk7smeRdoGx7aaX5/cR/6JbhvgMGzsN6qyw6jJDiOWUyENiKjbmmbN2tCxXhWa+1nkV8XuBUGR5oc70hJh27eweQ7sW0Yb+27a2HfjyJzFqq8a8cHivlx+7e3ExtYq33FbVEJKOmNmrmLDgdME+nrx9s3t6NGwSukulpEKO34wf9a7FuLrOEe17KcCHKkE7P0e9n4P2KBGB2jYDxpeCVHNwWbjzl712XTwNAu2HOWOj9fy3d3dqBLix5drDrBiTwL+PnaeHdr8vEH3nz3qsWj7MVbtO8mkz9fz2e2dnXVWOTYfPM3dn65j74lUbDZzWfLeyxvw1dqDbIg/xXcbDp03OC3ZeZy0jCxiwvwJC/Rl2+EkPlsVz/ie9Ur38xMXOf+Vclmqy5lx0mKdeJBF/hpKqRkGJB92zh45Px/fCVnphb4kgUpsy6rODqMm241YdjhiOe5fm/YNY+neIJLrG0QSHRZwgb+RchIYDu1Gmx/JR2HrNzg2z8Ee/zudbNvpdGo7We9NIa5yB2K63ox3s8HmayqAAyfTuGX6n/x1IpXKgT7MuLUjrWMrlewiWedg9y+w+UvYPh/OpeY+V7UZtLgWmg2FtJOw80fz48hGOPCn+fHrMxBaA1rfiL3daF66rhW7jy1nz/FUJsxayxs3tuHZ+dsAmNi3oVvLZ152G69c35oBry9l1b6TvLNkD3f2MkOQw2EwfdleXliwnXNZBtFh/rx6Q2suqxsBQP9m1Xhk7ia2H0lm59FkGkYVfXfgj9nLdP2bV6NpdCgPfLmRD1bsK5ObEM6eyyI900FYQMVdTs6ZVbLn+VE6i8MdHhiQSDYFp4vJ2aTs2aOcgJQ9i3T2VKGnZ3kHcMy/Lpszq7MyJYptjprscMSSSCi+Xnba1apM94aRjGpQhabRodjtl/iSVUgUdLode6fb4fQBEv6czak/P6PeuZ3UPPUnfP8njh/uw16vDzQfBo0GQklrti6gY0lnWRd/iugwf+pVCSaoBLOCO44kc8v7f3A0KZ3qlQL4cGxH6lUpQWFzRhqs+whWvAmn43OPV6oFLYZD8+HmDQI5woEa7aDPI3D6IOz6CXYugL8WQ9IBWPIiLH2ZkEYD+aj3P+j/jZ0/9yUy6I2lnEo7R5PoUMZ2c7/mKjY8kCcGN+WBLzfy6sKd9GhQhaqhftz3+QaW7jKXpfs3i+L5a1u6LK2FBfrQs2EVft52jHkbDjGpiDvlMjIdLNx2FIABzaNpWSOM53/czuHTZ/lx8xEGt4pxe6yFXXvwm8s4fPosM27tQIfaFSPI52eoOFwsSsHJijIzIGFXvlmkbXA6rvDzbXaMiPqkhjVkFzVZnhzFvCOV2JESgZGS+79rDaOCuaZ+Fbo3jKRTnXACfSvwP/6wGkRccR/hfSfx0/Lf2fnrh1yeuYwmxMGuBeaHlx80uAKaX2suKfl6vhfUkdNn+XHzYeZvOsKq/YkutR7VKwVQv2owDaoG0yAqmPpVQ6hfNbjArMXqfYmMmbmKpLOZNIwK5sMxnagWVnz/JKezp2HVe7ByqllLBhAYCS2uMwNT9XYF6pcKCKsO7W81P86dMWehVk2HfUth+zxits/j99A6vJzYjS9Tu2O3BfPcsBYlnsUZ3q4Gv2w7xo9bjjDhk7WkpmdyIiUDfx87j13VlJs61ix02W9wqxh+3naMbzcc4l9XFH5X4Yo9J0g+m0lksB/talXGy27jH51q8fovu3h/+V5ncDp7LotNB0/TqkalItss5PflmgPsOmY2+Lx1xio+GtvRWe9VkeRu8pt7TMXhYgUV+C+nBRiG+X/rLgFpK5zYBY5zhb8mJBqqNoWopqSGNWJNejQ/HQ1j0Z5kDh4443JqRJAv3RpE0q1+JN0bVHH/j2MFYrPZ6NetMx3btuP5H7fz56rfGey1kqu9f6dO1iHYPs/88AmCRleaIap+X/AuRcOqUjp06gw/bD7CD5sOO7ux52gYFUxiagYnUjI4eOoMB0+d4bedx13OqRriR4OoYBpUDSEiyJe3Fu0mPdNBu1qVmT6qvXvFzCnH4Y9p8Of/ID3JPFapJnS9F1rfDD6l/N3yCTCX8poNNW9aWD0d1n9KUPJeHvfZywPes1lb/UZaRfUu8aVtNhv/N6wFa+JOsj8hDTDbILx5YxsaFLME17dJFP4+dvYlpLH5YFKhHc2dy3TNopz1UzdfVotpi/ewLu4Un6+KZ+PBU3yz/hDJZzO5rl0NXryu1XnHnJ6ZxZRFuwGIDPbjREo6t7z/J5/edhnNq7uOY9W+RAJ9vWgW417HdYAsh4HdxkVxQ0RxxeHaplA8ScHJU357EVa8kftHKD/fEHOpo2pT81b/qk3JiGjM2uOwdNdxlu08wcaDpzGMdMC8s8fXy06HOpXp3qAK3epHVozltzJSKdCXycNasrptDf7zdSNeO3otTWxxjI9Yz0D7SnyS4syi581zwC8UGl9lLufV62MWrJexg6fO8MOmw3y/6TDr4k65PNeuVmUGtohmQPNqxFQya9ESUzPYfSyF3cdS2HUs2fx8NIUjSWc5lpzOseR0lu/O7ZPVp3FVptzUlgDf84z99AFzOW7NB5CZHcyrNIZuk8zv36sMa3CqNoaBL8LlT8Cmz+HP9wg4toWuhz6AKYtg4AvQaECJLhke5MvrI1rz0JyN9G0SxUNXNsbfp/jvOcjPm8ubRPH9xsN8t/FQgeCUmeXgp625y3Q5qoT4MaR1DF+uOcCDcza6vObLtQe4rUfdYmumAD5ffYCDp84QFerHD/f24J8frWbVvpOMnP4HP9zbw/k/P5sPnub6d1bi62Vnzh1dCoSqwuw9kcrQqcvp2bAKr49oc97zPS23HUHBpTot1oknKTh5io+/GZrs3hDZ0DmLRNXs5pFhsRjAnuOpLN11nKWLT/D7X6ucHZdzNIoKoXuDSLo3rELH2uHn/0MoxWpfO5x5d3fnvWV/8cYvXtx7ohYPeF3Dk+3SuT7gT7y3zoXkQ7DhE/OjRke44SMIqXbea59PfGIaP2w+zPebjrAh/pTzuM0G7Z1hKbrQmcPwIF861gmnYx3Xepiks+fYcyyFXdmhas+xFJpVD+PuPvWLX/rKSIUfH4b1s8Bh9jcipi10v8+s/bKXYwd2v2BoPwba3WrO9v3wb3OZ+tMR0HAADHgeKrt/F2SXepEsfbBPiYYwuGUM3288zLwNh/j3lY1d/gfkz32JJKZmUCnQh051XX/e47rX4dsNh8Awi8ZvaB/Lx7/v58ctR3j5px28M7J9ke959lwWU341Z5vu7FWf8CBf3h/dgRHv/s6WQ0k8O38bb95oBp7nf9yOYUB6poM7Zq3hu7u6nXfm8M1fdnEq7RzfrD/E/f0aWX4botwGmLk04yRWoODkKS2uM2crIhqAd+5/8BJTM1i++wRLd21k2a4THDp91uVlkcG+zqW3bg0iz7u3l5Scr7edO3vV56oWMTz2zWZ+23mc//zpy3uR/Xnmmn/RxWc3bP4KNs427wx7pyfc8DHEdnD7PU6fOUd8YhpxiWnsOZbCwm1H2XjgtPN5mw061g5nYItormxerdT/nEP9fWhTs3LJamSyMuGLW806L4Da3c3AVLfX+euXypLNBk0Gm/+e/PYCrHwLdv5gFpT3uB+63F1uS6a9GlUhxM+bQ6fPsibupEuBds4y3RVNogqEz8bVQln6YG/8vb2cDVajQv34aesRFmw5yob4U7Qq4s7F2aviOZJ0lugwf27oEAtAiL8Pz1/bkiFvLeO7DYcY0SEWh2E4e25VDfEnPvEME2ev5/1RHYqcYd6fkMo32c1NAb5YHV9k4btl5NxV59IBM/spBSfxIAUnTwmpBiHVSM/MYm32JrlLd51g86HTLv9R8PW207F2uDmr1KAKjauFaPntAqkZEcjMWzvw/abDPPXdVv46kcpN761iWNvqPDLwWSIuuwM++wcc3wYzB8Kgl6HtLYC5r9rhU2eJyw5HcYlpzqAUl5jG6TMFa9jsNuhUJ4KBLaPp3yyKqiEeCMWGAd//ywxN3v5w46dmcPEk3yC44ilodSPMv98sIv/1v7B6hlmQ3mK4sxdUmcg6h3/iLh6qsZnT+9cTMPc9iLBBejJGejLjj5+gl091YgKGwulIs9g9j/wht0FUCEPb1GDO2gO89NMOPhrbqcBb5q1tmtC7vstyYvPqYYy8rBYfrNzP499sds4q33xZLa5rF8vQqctZvOM4r/+yi39d0bDQb2na4j1kOQzCg3xJTM3gizUHuLdvwwL9rayksBqn3LvqlJzEcxScPOT7jYf5ck08v/+VyJlzrstvjauFOINSxzrh563JkPJjs9m4qmUMPRpW4cUfd/DxH/v5au1Bft1+jIcHNKbZgC+J+Hki0YcWwrd3s/CXn/g/x0jiTmc592UrSmSwHzXDA4gND6RD7XD6N6vm9uay5ea352Hth2Czw/D3PR+a8qraGEZ9B5u+hJ8eMdsYLH/N/IhsaLZAaDEcIkrYgDL5COxfAXErzY9j28FxjpvB/C/kqewPzD/cMUCM13FYvR5WPwHVWkJYrLn0fvYUpKeYNxD0e8ZZND+xbwO+3XCQpbtOsGLPCbrUc23g+uu2YxxLTicq1I/r28cWGOKkfo2Yt/Ewe46bfbKC/by5q3d9IoL9mDysBZM+38Drv+yiVWwYfRpHubz24KkzzFlrdkd/68Y23DFrLYdPn2XpruP0alS1wHtZRe5ddbnJSUt1YgUKTh6y42gyi3aYdz9FBvvRo0Gk8w64qlp+s5xQfx/+e01zhrWtzn++3sy2w0k8NGcTADZGMcGrEpO8v+SK1O8Ic+zkTsdEkr0rExseSM3sD9evA6zXDmLNB7B4svn1oJeh8SDPjqcwNhu0vA6aXGX2gdr8Jez8CU7shMX/Z35Ubwftx5rF6z6FNHI1DDi4BtZ9DHt/g8S/Cp7jG4KjamO+OhDG1nPRnDKCSCGAZAI5Z3hxd/3j9DTWwIFVZkPPI67F4Kz6HxxaCyM+gZBqxIYHcmPHmny4cj8vLdjBnDsiXIqe56w9CMDQNjUKbVsQFuDDwwObcP8XGwC4vUdd5359w9rWYH38KT5cuZ+Jn63nu7u7ORuFnkrL4IEvNnAuy6Bz3Qi6ZG9ZM3PFPqYv28vWw0nEJaRxf/9GRAZ7OLTn4yhkPU7tCMQKLPZf7opjYItqhPh5061BJI2rhVwUtwcLtKlZme/u6sqM5ft4+7c9eHvZqBkeyKHwu/iOzgzc+TgdM3fwR+TT2G6YhT22naeH7J4dP8K8f5lf93jALM62Mp8AaHaN+XH2tNm1fPOXsGeRGYoOrjFnpdrcbIao8Dpw5hRs/BzWzDTbfzjZzKW+Wl2gVmezCL5STew2G4d/2cUHv+yiQdVgOtUJZ0idcDrWDs/9n5uU47DnV7Njun+Y+XH2NMybZI7h3V4wYhZUb8ddvevz+ep41sad4tftx7i8iTkzlJiaweId5p2xw9oWvQ/fsDbVWbrrOEdOny3QDPTRQU3ZfPA0a+NOcfuHaxjXvQ6hAT488/1W4hPP4Odt58ErzZqm69vHMnPFPpbuOuFsBpoTzKwkt3N4wRkn5SbxJJuh6F6kpKQkwsLCOH36NKGh1u0gLRZyYhd8dpM5A+LlB4Nfg9Y3eXpUxTuwGmZeZbYbaH0zXP3WhS0CL0spx82O5qtn5GkYm7033pFNuS0VvP1z+0fFdoKASkVe0uEwSl5XmPgXfDICTuww3+u6D6DRlTz3w3be/m0PjauFMP+e7tjtNj5cuY/Hv9lC8+qhzLu7e6m+bTCbo1715lJOpGS4HI8ND+Dtm9u59Hsa98Eqluw6Qd3IILYfSaZpdCjz7y39e5eHho/8QEaWgxX/7uNsuzFy+h8s3XWCV29oxdA2bm4MLuKGkvy9L8d7ikUqoMgGMO4X85b9rHSYewf88JC5p5sVndgNn1xvBor6V5hB72INTQDBVaD7JLh3Pdz4mVlrhGHe/Zh5xmz7MeAFuG87DH0bGvYvNjQBpbsZI7wujPvZ7DifeRa+ug0S/2J8z7qE+Hmz/Ugy3286DLgu0/0d1cL8+ez2zoy8rBbd6kdSKyKQIa1i+O6ubgWaZL43qgPbn76Sj8eZhepbDydxPDl3b0vDMJi9Ko5ftx91HtuWvax3oeQUgNsL+X3U/+6LJ2mpTqSs+YfCDbPMQuvfnoM/3oYjm+H6DyAo8vyvv1BSjsHHwyAtAWLawHUzy7ahpSfZvcxmmY0GQMIeczktupU583ShgqF/qNmmYuZVEP87fD6KSmMXcluPuryycCevLNxJ42ohbIg/hZfdxpC/sb9djvpVg/nvNc3dOtdutxEZ7EezmFC2HEpi+e4TXNPGXCpcvOO4s4bvuWEtyDIMHp27mcqBvqz4d5/z3rDy/cbD2G0woEV0secVJ6cAXJ3DxWo04yRSHux26P2wGaB8g2H/MrPe5dB6T4/MlJ4Ms4bDqf1QuQ7c9IXZePJSFFEPOt4GsR0v/Gyal495d2JAuFlA/tMjjOlWh/AgX/aeSOWOWWsB6NEg0mN3VHZvUAWAJbvMm1UMw+DlhTucz//7q0088vVmDMOsx1q4NXcWKi0jk2mL97DneIrz2P6EVCZ8spY7Zq1l66EidkZwg1FYOwIVh4sFKDiJlKcmV5lLd+H1zH0J3+9vFih7UtY5+HwUHN5gbtB78xxziUvKR1h1GPau+fWq9wje9Q139jJbJuzO3sx3aFvP1et0b2DOgi7bdQLDMFiw5SibDyYR5OvFjR1zWyM0qGoG66/XHXQee+rbrTz/43bn3X4A36zPbbT5ysKdpR6Xc8YJFYeLtSg4iZS3qo3htl+hQb/cepcFj5gdui80w4Bv74E9v4BPINz0ecn7HknJNbjC3N8P4Nt7GdnIIDp765wQP2/6NY0q5sXlq12tyvj72DmWnM6a/Sd57Wcz7NzatQ7/N7QFLw5vyds3t+PtkeYdor/tPM7x5HSW7z7B7NXxAKyLO8WOI8kYhsHc9bnB6udtR1kXd7Lgmxbj4KkzTJ6/zflYDTDFahScRC6EgEpmsXL3+83HK9/Kri9KLL/3NAzzFvxj281tSjbMhm/vMvfYs3mZNU01LpJ2CZeC3o9AzS6QkYzfvAk80K8+ANe1j/Vok1t/Hy861okAYPjbK9l+JJkQf29u614Xm83Gde1jubJ5NepVCaZVbCWyHAYvLtjOg1+avaty+k7NXhXPlkNJ/HU8FT9vOwOam/s3vvHLLrfHsvNoMl2f+5V3luT21spbHJ7zpWqcxJNUHC5yodi94PLHoFoLmHun2Xzx3Z5mk8RqLYp/bWYGnEvL/jhjbsJ77gxkJEPyUUg5kudz9kfKUXOGqzCDXzPvKJMLx8vbvJNvWheIW8mwRnPp8OBthW7a7ORwwJ/vwF+/ma/38jPbJ3S8rUzrtXo3qsKSnWaNU8OoYB67qqlzr728rm1bnQ3xp/h8tdmJvHqlAP49oDF3f7qOr9cd4HiKeWde3yZR3N+/ET9sPsLinceJT0wrdFNhwzBcetjd9cnaAufk/S5tWqoTC1BwErnQml1jbhHy2Y1wch+8dwXU7ZknFKW5hqRzaeD4G8t6/mEQEg3BUeYeiY0GmP2L5MKrXAuufM6c+fv1GWLr9wWvZoWfm3rCXNbd86vr8c1fgpEFl91RZsO6+bJaeNtt1KsaTOe6EUU25B3SKoZ3fvuL9EwHV7eOYUy3OlQL9efZ77dxJOks32VvJHxtu+rUiQyie4NIlu46waw/4vj3gMYu19pzPIXr3l5Jl3oRPHdtS06fOcfOoykF3tNlxin7s5bqxJMUnEQ8Iaop3LYI5ow1/zDu/NG919m8zE1vfQLN7tm+wWZhd3A158bRZkCKhpAo8+vCth0Rz2lzM2z/Hnb+AF//E8b9Ct6+uc8bhrm0OvdOSD4E3gHQ4z7wrwTHt8Oq92Dh41C72/lnKt3k42VnZOfa5z2vUqAvy//dp8BM0bjudXjm+200qBrM7T3qOvfL+0enWizddYLPV8fzrysa4OeduyT54+YjJKZmMG/jYXYcSebGjjUBaB1biWNJZzl0Onu21I12BGfPZfHOb39xZfNqNKoWUoqfgIj7LvngFB8fz8iRIzl27Bje3t489thjXHfddZ4elggEhsM/voTt88xaJJ9A8M0ORD5B2cEo+7NPoPmR9w+sXJxsNhjyBky9zOxm/r/e0GSwefPA8e3w+7Tcve8iGsD1H5pBG8xQdfqAGbS/HAu3LzZ/Zy74t+A6IzW2Wx2GtI6hSrCfy3N9m1SlWqg/R5LOcv8XG3l2aHNC/c0lwDX7c4vGdx1L4YUF2wG4rG4Eu4+lOIOTvZB2BPnX6l74cQfvL9/LjBV7Wf94v7L6NkUKdckHJ29vb1577TVat27NsWPHaNu2LQMHDiQoKMjTQxMx656aXu3pUciFFlwVrp4Cn98CRzebHzkbLIO5TUubm6HvU679tWw283XTuprbuSz4j1mv5mE2m42qIQVrtby97Dw0oBH3f7GR7zYcYu3+kzwxuCl9m0SxNvtuu3Hd6vDesr2cPecAoHO9CPx97Py87ajz2rnvY37OP+P07QbzTr5TaRbt0C+XlEs+OEVHRxMdbXavrVq1KuHh4SQmJio4iYhnNRoA/9oKuxbAjh/MJduAytBhLLQdDUERhb8uKNIsMv/oGlgzA2p2hlY3XMiRl8jQNjWoGR7ExNnriE88w+0frWFYm+qcSjuHv4/dWUR+8NQZvO022teqTEamw/l61xmnnOJw1+SUf38+kfLk8XYES5YsYfDgwcTExGCz2Zg7d26Bc6ZOnUqdOnXw9/enXbt2LF26tFTvtXr1ahwOB7Gxsec/WUSkvAVXMWeWRsyC/xyCSVuh+31Fh6Yc9XpDjwfNr7+711zys7B2tSqzYGIPbuteB4CvsptotqxRCX8fL8Z2M4+3rVWZID9vWsdWcr7W2577ZyonQ2XmmXJKyyj6xoksh8HWQ0lkZjmKPEekpDwenFJTU2nVqhVvvfVWoc/Pnj2biRMn8sgjj7Bu3Tq6d+/OgAEDiIuLc57Trl07mjdvXuDj0KHcDrYJCQnccsstvPvuu+X+PYmIlFhJ2wv0+jfUu9zcvHj2zXCmZI0mL7RAX2/+M7AJneqEO4+1r1UZgFFdavPcsBY8f21LAKqE+PHuyHa8M7Kds08U4GxpMOuPOM5kZAEU2NYlb5CavuwvBr6xlGumLmd/QioADofBA19s4PWf3e8vJZKXzbDQpj82m42vv/6aa665xnmsU6dOtG3blmnTpjmPNWnShGuuuYbJkycXcpWC0tPTueKKK7jtttsYOXJkseelp+fuEJ6UlERsbCynT58mNDS05N+QiEh5Sks0e4GdijPvoGw3GtqOMrd5sahNB04z+K1lAEwf1Z7Lm7jfNf30mXP0e/U3jialc03rGF68rhUfrdzP0/O2Os9Z+mBvZ8Aa/9EaftxyBICOdcL5/J+dWbH7BDe99wcAu58dgLeXx+cPxAKSkpIICwtz6++9pX9jMjIyWLNmDf36ud4l0a9fP1asWOHWNQzDYPTo0fTp06fY0AQwefJkwsLCnB9a0hMRSwsMNzeSDokxG57+9jy83grWzfL0yIrUokYY/xnYmMGtYuiWvU+eu8ICfHhheCvsNpi7/hD3fLqOzQdPu5yTmJpb77Qve5YJ4M+9iayLO8nOo8nOYzkNO0VKwtLB6cSJE2RlZREV5fp/JFFRURw5csStayxfvpzZs2czd+5cWrduTevWrdm0qfB6gIcffpjTp087P+Lj4//29yAiUq6iW8K9G2D4DIi9DBzn4Js7Yfnrnh5ZkW7vUY83b2zj0tfJXT0bVuHdke2x2eCHzUdY+VeCy/MJqWYYMgyD/QlpQO6S4MwV+9iYJ2gdOlVEZ31g2+EkjiUX/bxUXBfFXXX5e4bkb75WnG7duuFwuFcY6Ofnh5+fX4nHJyLiUd6+0HyY2RF+4eOw4g3zc+px6Ps02C39/8gl1rdpFHUjg9hzPJXD2f2e6kQGsfdEKgnZd9gdTUrnzLksvOw27uxdjzEzV7P1UBJZeapTDp8+A1QucP3dx1IY8PpSQvy92fSktiYSV5b+tykyMhIvL68Cs0vHjh0rMAslIlLh2WzQ779wxdPm4xVvmrNPWdn9jdJTcr++yLWsUcn5daCvFy1rhAG5S3V7T5jLdLGVA6gTafbC2nUshb+O5y7fHS5ixunX7WYPqeSzf2OrI7lkWXrGydfXl3bt2rFw4UKGDs3dW2vhwoVcfbWaBoqIFKrrvRBUBb65CzZ8Cgl7zA2fj2w0t+mp1RUaD4Q2t1y0s1EtqofxdXZbgwZRIUQGm6sFH/+xn8pBvmRltyyoHRlETCV/bLaCmwPnzFbll7cvVHpmVqmWFOXS5fHglJKSwu7du52P9+7dy/r16wkPD6dmzZpMmjSJkSNH0r59ezp37sy7775LXFwc48eP9+CoRUQsrvVNEBAOX4yGA3/mHs9IMZtu7loA276DYf8zi8wvMi2yZ5gAGkeFEBFsbkcUn3iGB7/cSNf6Zi+s2hFB+Hl7ERVibv2Sl7lUZ8rMcpDpMPD38eJYnvNOnzlH1RAFJ8nl8eC0evVqevfu7Xw8adIkAEaNGsXMmTO54YYbSEhI4Omnn+bw4cM0b96c+fPnU6tWLU8NWUTk4tDoShj9PWycDTXaQ50e5t13u36CJS/D7p/hnZ4w6CVzr7yS9pLyoKbRodht5vYrjaqFEOTnGm6W7zaLxutVMXeJqFE5wBmc6lUx66Ny9sP7fuNh/v3VRqoE+zH/3u7OZT6ApDPnCt1ORioujwenXr16FWifn9+dd97JnXfeeYFGBFOmTGHKlClkZWVdsPcUESkXNdqZHzlCqkF0K2g4AD4fCYl/wSfXm3fk+QXD8Z1QpSF0Gm822LToUl6Qnzctqoex4cBp2tSsVOi2K/4+dga0MLfcqlE5gNXZGwv3alSVPcf3cvjUGdIyMpn0+XrSMx0kn81k5V8J7MlTB3X6zKVREyZlx5r/RnjYhAkT2Lp1K6tWrfL0UEREyke15nD7YuhyD3j5Qfzv5gzU6Tjz86zhZnNNC2/n8uaNbZl5awfa1KxMiH/uPED1SgEAPH9tS2ftU43Kgc7nezeqCph9nDYeOE16nr3xZv0eR0p6blG4Ng6W/Dw+4yQiIh7iH2behdfpn+Zynn8liKhvLuWt/dAsJn+3N3SbCJ3vgoBKHh6wq5oRgdSMMANRqxqVaBQVQpPoEB4a0Jj4xDN0zLO9S96tW9rXrkxMmD+HTp9lzpoDLtf8edtRl8c5M05bDp1m+rK93Ht5A2pFaJP4ikwzTiIiFV1YDXNz4Q5joW5P6P8s3LUaGg0yG2oueRFeawErCt9T1AoCfL1Y8K8evDaiDdFhAS6hCaBJdO42Gv4+XrTNbor5RXZwuq5dDQJ8ChaB5wSnN37ZxVdrD9LzxcWc06bBFZqCk4iIFBQSBSNmwfUfQtWmkJ4EPz0CK6d6emSl0rdJVZ65pjnf3dUNgHa1XBtftqgRVugWMDnB6UhS7vYsC7YcweGwzDavcoFpqU5ERApns0HTq6HxYFj6Mix6Bhb8B86lmQXmGSmQfBTC60BsRwgo2IXbKmw2Gzdflns3dtuarmOtXzUYP287C7eaS3U9GlZhyc7jJKRk8P3Gw6TlqXtavjuBF37cQe3IID4c0/HCfANiGQpOIiJSPLsdetwPKUdg1Xvw638LOckGdbpDyxHm9i8+ARd8mCXRNCaU+lWD2X0sBYAGVUNoUDWEAJ+tBPp60bF2ZZbsPM5Hv+/no9/3u7z20z/jAIhLTCMj0+FSPyWXPgWnQqgdgYhIPjYbDHgBQqtD3O+QdAh8gyAoEo5vh4TdsHeJ+fHTo3DZHeYdez7W7IHk42Vnzvgu/G/pXwT5eVMlxLz77pu7uuLjZeePfJsHF+VESjoxlVxD4tlzWfgXUi8llwabcb4mShVYUlISYWFhnD59mtDQ0PO/QESkojq5HzZ9AWs+MFsaAEQ0gO6ToP4VEFzFs+MroR82HeaOWWvPe97cCV1ZsvM48zYe4p2R7Vm2+wSPzd3M+6Pb06ex9lS9WJTk773mF0VE5O+rXMtczrtnHVw7HYKjIGEXzL0DXmls1kg5Lp670SoF+hZ6PO/deQAHTqbxysKd7DyaQu+XFvPY3M0AvPbzLgDiE9P4fHW8iskvIVqqExGRsuPlDS2GQ/2+8Ps02DHf7Af1y9PmMl7XiebWL3ZrL2U1jQktdGPgWeM6kXz2HM98v42FW4/y3YZDhb4+IsiX3cdS6PvKbwBUDfGjV3bjTbm4acZJRETKXkAl6P0w/HMJDH7D7E7+12L46BqYHAsfDYNdPxdMJhYRFuBDtdCC9VnhQb7UigiianZN1IIt5l143RtEMqZrHed56+NPMeD1Jc7Hefe/y3m8+eDp8hi6lDMFJxERKT82G7QbBXeuhA63gV8onEuFPb/ArGth1nVw1poBokFUSJHPReULVaM61+bxwU355LZOAJxMO8e5rNxQmHfPO8Mw6P3SYq56cxnHsjcelouHgpOIiJS/iHow6CV4aB/csdLcwsXbH3YvhPf6wp5Fnh5hAU8NaUZEUOG1TjkzTgB+3na61jebZ9arElzo+Ql5NiFOy8i9Y3vjATM0xiemsWpf4t8es5Q/BScREblw7F4Q1dTc1mXMAgiJhhM7zSW87++DrHOwfwVkZpz3UuWtTmQQax67otDnYsNzNw3u3iCSAF+zZisy2A8vu63A+QmpuZ3HE1Nzv7cDJ9PMa7ywiOveXsme4ynFjul4cjrXv7OSuesOuv+NSJlScCrElClTaNq0KR06dPD0UERELl0xrWH8crjsTrDZzeaa07rAjAHw7V2eHl2xLqsbwSMDmzC2Wx0eGdTUedzLbnOZjWpQ1ZyBOpE947TneIpzlglg17EUluw87ny840hyse/78k87+HNvIhNnry+Lb0NKQXfVFWLChAlMmDDB2ddBRETKSVAEXDkZAsPh12fM2SeAjZ9Djwchsr5nx1cEL7uN23rULfS5GpUDOHzarF1qVC2EXcdSSEhJ59CpM1z+8m8u5y7YcpRZf8Q5H6dnFt94+WSa52fiKjrNOImIiOd1uw/a3gLVWkCNDoABy1719KgA6FQnHIC6kUFund+oWm5ReaPsAvOE1AzmbSzYuuBESrrL4+PJ6QXOyctuK7gMKBeWZpxERMTz7HYY8qb5dfwqmN4X1n8MVRqaW7d4MDC8eWMbpi/fyz861jr/ybg2ycwJUafSzvFbniW5opxIKX5GScHJ8zTjJCIi1hLbwbzrDmDh47B+FhzeAD8/BfMfhOM7c8/d/j280gxeaQqrZ5TLcKqG+vPwgCbUjAg8/8m4BqcGUSHOTYCX7y56/7ug7OLyd5f8VWyLAuUmz1NwEhER6+n/rFnjBPDzk/DeFbDsFfjzHXinO8ybBPF/woJHIOkAJB2Enx6DNM/f0t8oT/+naqH+NIspfu+zyxtX5emrmzsfP5q9bUth8s44ZWZdPFvYXEoUnERExJq63wehNSD1OGSlQ2wnqNsLMs/C6ukw/Qo4udc81zcEMpJh0bNw7oxHhx3k581Xd3Zhzh2dCfD1olWNSoWe161+JKH+3ozpVoewAB/n8Z+2Hi2ySDzvjFNqevGF5FI+FJxERMSafPyh93/Mr0NrwI2fwci5cNMX0Ghg7nk9HoSh08yvV70Hr7eG3b9c6NG6aFuzMu1qmUXlTfPMOEWH5XYcv6VzLTY+2Z+u9SPp1iCSy+qGO5979vtthV73XJ5ZpvmbD5f1sMUNCk4iImJdrW+CEZ/AmB/NlgU2GzTsBzfMgm7/gtrd4bI7oPFVcOVzZsBKOQIfD4Mf/g1ZmZ7+DriqZTSDWkTz/LUtqF81t7N4RHBuV3J/Hy8+u70zU25qC8CcNQfIyHRdiotPTGP+piPOxw9/tamcRy6FUXASERHrstmg8SCoFOt63G6Hvk/C6Hm5geqyO+CuVeaeeAB/TIPfp1zwIecX6OvNlH+05YYONQnyzb2ZPTzIr8C5A5pXIzLYj9SMrAJbsAyduqLA+UlnzxGfmMZPW44UeE7Kh4JTIdQ5XETkIuUbaO6JN/Al8/GKtzxe85SXt1dukVJ4Ifvg2e02ujcw9737c28i7y7Zw/cbD5OWkVmg5xNAXEIafV/5jds/WsPPW4+W38DFScGpEBMmTGDr1q2sWrXK00MREZHSaDcawmpC6jFY+5GnR+OUd/kt1L/wVorNq5s7Vny17gD/N387Ez5Zy6FThYe/fQmppGdf86etmnW6EBScRETk0uPlA93uNb9e/polNg0GyMhT3G0roilTk2iznUF8Ym5Yuv+LjYWeG5eY5vw6MfVcWQxRzkPBSURELk2tb4bgamaPpz+meXo0AAUKvgvTNLpg36f18adcHucs5yXm6TR+Ks8+dnEJadzz6Tq2HDqNlC0FJxERuTT5+EO3iebXCx+Hr/4JyZ5dzqpcSF1TfpUCfYnJ07YgryBfL54b1sK5f178ydwZp9X7TzLw9aWs2Z9IjxcX8e2GQwyftrJsBi5OCk4iInLp6vhP6PkQYIONn8GrzeG3Fzw2nP8MbELH2uFM/UfbYs9rUsisE8DlTaIY0bEmYYFmANufkOby/NbDSVybJyydOacmmWVNwUlERC5ddrvZRHPczxB7GTjOwaL/g+M7PDKc6pUC+Hx8Zwa2iC72vKKCU1qGGYQqZXcaj09MK/S8vBZtP1bCUUpxFJxEROTSV6M9jF1gNsrEgGWveXpExSoqOJ05Zzb0rBRoBqfUjPPPKN06cxX7E1LLbnAVnIKTiIhUHN0nmZ83zoa432H1+7DjR8+OqRCNqoUUevwfnWoBUCng/LVSee05nvK3xySmwptIiIiIXIqqt4O6veGvRfB+/9zjN88xj9u9co9tnw8r3jS3eOk60XWH3XJWOyLQ5fHoLrW5tm0Nmlc3Z6JyZpxyeNttZDqMIq+Xog2By4yCk4iIVCzd7zODU14fXwvYIKAy+AVD1jlIzt5EN24F/PJfuPY9aD7sggzR2yt3QWhYm+o8OqiJy7H8wem5a1ty/xcbirzeX8dTSE3PZMGWI/RpXJVKgSWbsZJcWqorhLZcERG5hNXuBoNeNrdleWg/RDbMfsKAM4lwKi43NOUwssxGmif3Q8KeCzLMWeM6MfKyWjwztLlLaAII8XcNTkPbVCcswPVYXq/9vIsH52xk0ucbGP/xmnIZb0VhMwyj6Lm9Ci4pKYmwsDBOnz5NaGjhhXoiInKRc2RBejJkZUDqCdi/HH56DCLrw9ifIfU4vNY893y7N/xzKUQ19dyYgY7P/syxZHP/un3PDWLRjmPcOsO9rcL2PTeoPId20SnJ33vNOImISMVm94KAShBc1QxDHW+D+3fAuF/NJpqVYqHhgNzzHZmw6QuPDTfHzFs70jQ6lA/HdAQgyFfVNxeCfsoiIiL5+Ye5Pr7qFVjbGrDB4v+DrXOh9yPg5bk/o01jQpl/b3fn4yA/r2LOlrKiGScREZHzCY2BXv+GzhPAJwgS/4IPBnuskWZhgv1yQ5yvt/68lxf9ZEVERNzlFwzD3zfDU9wKmNYFNn3p6VEBEB0WQN3IIADu6Fmv2HPPaiuWUlNwEhERKYlGV8KdK6BBf7Peac5Y2LUQ9i6FxL0eG5avt50fJ/bg50k9mNi3QbHnvv7Lrgs0qkuPgpOIiEhJVa4NN3wMlWqaj2cNhw+ugjdaw5vt4WCeW/5TT8A7PWDJS+U+LF9vO/WrhmCz2bi6dQwANSoHFDhv2uI9nMnIIi0jkye/3cIffyWQkeko9/FdCtSOoBhqRyAiIsXa+RP8/AQc2wbk+3Ma2QgaXGF+vfIt8/OTpy/Y0JLPnuPz1QcY1CKayyb/UuD5L8d3ZsnO47zx624AfLxsvHJ9awa3irlgY7SKkvy9V3AqhoKTiIi4JeUYHFgF8yZBypGiz3ton9md/AI7cvpsoeGpMBWxx5P6OImIiFxIwVWh8SCz/9PIr6Hp1YWft+EzOLr1wo4NqBbmT98mUW6fn+UwOJZ0thxHdPFScBIRESlL9frA9R/CpO0Fn/vx3zCtM/z4MJxNuqDDem9Ue8Z0rXPe806lZfDGL7vo+H+/sGBLMbNnFZSW6oqhpToREflbZgyC/csKf65mF7j5S/ANumDDSc/MotGjP5boNbufHVBgr7xLjZbqRERErODa/8GIT+GfSwo+F7cCZgyEcxduSczP24sW1cPOf2IeS3efYNOB0wydupzf/0oA4P/mb2PCrLU4HBVv7kXBqRBTpkyhadOmdOjQwdNDERGRi1loDDQeCNGtoN2t5rGI+rlbuhxeD293g/f6mi0L0pPLfUhv3tiGsd3qEOjr3hYte4+nctena1kXd4oR7/7O8eR03l3yF99vOsz+xLRyHq31aKmuGFqqExGRcrN5Dnw5xvXY9R9B0yEX5O2HTV3O2rhT5z1vdJfazFl7gOSzmQWeWzCxB42qhZTD6C4sLdWJiIhYXdOhEHuZ67HPR0LK8Qvy9mEBPgWOrfh3H+fXdauYtVcHTp4h1L/guVAxt25RcBIREfEEux1GfQsTN0N4nr3lFvzH/GwYcLb8GmYG+noXOFY1xM/5dXSYPwBpGZmEFhKywAxO8Ylpzq7j57Ic7D6WzKW8mKXgJCIi4ineflAp1gxQOTZ9Dp+MgKcqwXM1YdH/mSGqjPn7FKxxynv3XMMocwnuzLmsIuuhluw6TvcXFnHPp+sAuPuTdfR9ZQlfrjlQ5uO1CgUnERERTwurAQ8fNHtAAez8Ife5356HpS+X+VsWFYam3NSWf/VtSO9GVQHYcSSZU2kZhZ+7aA8AP2b3e8r5/L+lf5X1cC2j4DydiIiIXHh+wdDrP7BvGWRlQNWmEFEPtn0Hv/4Xlr0KLW+ArHSoVAvaj4WgiFK/nb9P4XMng1pGA7BqXyIAaRlZ7DmeWqJr2222Uo/L6hScRERErCK2A/xrC/iFgo+/uUQ371+wZgZkpMDq6bnnLnrW/NzpDuj3X/AqvA6pKOdrahlQyFKeu2yXcHDSUp2IiIiVBFc1QxOAzQZXvQo3fQ4+RXQY/2MaPFcLko+aj9MS3Xqb80WbomakirLlUG4h+7bDSZxOO1ei118sNOMkIiJiZTYbNOwP/zlofp2wB1KOwowBueecS4V3e8GZk5B5Bq6dDi2Gu/0WTaJDuffy+i7HCiseL86gN1y3lvnP15uY8o+2JbrGxUAzTiIiIheDnOWviHpQqwvcvRYa9Id2o83jyYfM0AQwZ6zblwP44d7uXNk82uX5kgan/L7fdJhDp878rWtYkYKTiIjIxSiiHvzjcxj8OtxayMa959m+xXaexbriapz6N4tya4hdnvvVrfMuJgpOIiIiF7tanc3lubwm14AvbgVH4d29z1e/XdiM0z2XN+DnST1oWaOS20O71GqdFJxEREQuBdGtCh7b8hWsfh/OnS3wVI3KAcVezsteMFnd1LEm9auG4HueO/Ly+m7jIX7ZdpTJ87eRmeVw+3VWpeJwERGRS0FkAxj0Mnx/n+vx+ffDqf3Q8XYIizWX8PxDubZtDXYeTaFLvaJ7QY3pWof3l+91Pvb2srl8dsejczc7v25RI4xBLaI5fPosMZWKD25WpRknERGRS0WHcfDYCRj2P9fjK96E11pkb+MSC2s/wtvLzmNXNeXyJkXXKz0+uCnV8wQc7+xZqGC/0s27pJzN5NWfd9HluV/55I+4Ul3D0xScRERELiVePtDyenhov9ldvDDf3gWzrnfrcnlnl3KaZg5uFVOqoZ1zGLzxyy4AHv9m83nOtiYFJxERkUtRQCW46hUIqlL487sW5DbNLEbeWqecGSd/Hy9iwvydxx8d1MStuqekM7mF4qEBJet0bhUKToWYMmUKTZs2pUOHDp4eioiIyN9z95qin3u5IZw5VezLvQsJTgAh/rnBZ1z3unStf/598/JuFpyYmsF/vt7E56vjWR9f/BisRMGpEBMmTGDr1q2sWrXK00MRERH5e/zDoO9T0Gk8tB9T8Plv74Y1M2HpK4W+PO+GvXlnn14b0Zq6kUG8dVMbAIx8rwsP8i1wrZT0TJfHn/wRx4NfbuSaKctdjiedPcdXaw+QfNZ6rQx0V52IiMilrtvE3K+vehXe7g5HNpqPt31rfgA0vdpsrJlH3rCUd/PeJtGh/Hp/L+djR57ktOyh3vR5+bcCw0hIyShwLMfptHOEBZqzWPd+uo5FO44zpFUMb9zY5jzf3IWlGScREZGK5oaPoc9jBY+/2RaOuBZtexfSz6kwhpGbnGpUDuRcIT2b4k8WvQVLtxd+dc5ILdpxHIBvNxxy670vJAUnERGRiqZyLehxPzQcUPC5t7vC6YOQlggU3gjTHe/c3A4/bzuv3tCK4e1qAHA0qWAjzhzJZzM5cto1WIX6W29hTMFJRESkohrxCTQaWPD4q03hhTqw40dCSXHrUka+Iqd+zaqx5an+DG1Tg461wwGzILw4Q6es4FhybrhKOpvJ2JmrOHuu8G1jPEHBSUREpKKy281luyFvQs0uBZ//9AZmHrueW7wWnPdSRoHy8Ny+T77e7sWN5PRMpi7a43Lsl+3H+GLNAbdefyEoOImIiFRkdi9oewuM+QFiOxV6ytM+HzDBay4kHS7yMvlnnPLyydfjydfb7tKRPK8vVscXOHbqPDNVF5KCk4iIiJiGvl3kUw/4fA6vNIbNcwp93lFMcso/4xQd5s+i+3sRUkgNU2pGwWW5g6fOWGa5TsFJRERETOF14dHjEFqj6HO+HAMpxwocLm7GKX9w2p+Qhq+3nd8fvtytYX22Kp4eLyxy69zypuAkIiIiubx94a5V8MgRiGxIkr0SfzmquZ4T/0eBlxWTm/Dxcr0z79autQEIKsFmwceS09l+JMnt88uLgpOIiIi48g0EnwAY9wtP1vyAW889SIbhlfv87Jvh9VbwyQjY+IV5rJjk5JdnxqlZTCgPXdm4VMP650fFbB9zgSg4iYiISOH8Q0n3DWW/UY2G6R9BYJ796E7ug50/wFfjICOt0Lvqcvh65YauUZ1r4+/jVeS5xdmfkObSaNMTFJxERESkSF55tllhTBFtCU7uddlyJb+8NU7+vqULTTmS8+13d6EpOImIiEiRbulcC4Au9SIgsgE8eRpuz7cP3bQu3BX8G1fa/2So/+oC16gW6u/82pEvYX0zoavbY3l9RGtC/X1KMPqyZ71e5iIiImIZ7WuH8/vDlxMZ7Jt7MKY1tLsV1sxwHuq95zl655ySONK8Qy9bzua9QIG2Aq1iK7k9FrutdNu/lCXNOImIiEixqoX5O7uAO/X7L9iKiBFvtIE/3oXko85DD/RvRJualbiqVUypx2GF4KQZJxERESk5vxB4PBFOx4NPkDn79Ot/c5//4QHz4/bfIG4lE06uZ8Ltb4Ajg9LGj1LuN1ymbIany9MtLCkpibCwME6fPk1oaKinhyMiImJtx7bB1MuKP8dmh6HvQMvrnYfeW/oXz3y/7byX3/BEP8ICyr7GqSR/77VUJyIiImWjahN47ETx5xgO+Oo2SE92HhrXvS7z7+l+3suXR2gqKQUnERERKTtePtD82vOf98Fgl4dNY0L5cExHHhnYpJwGVjYUnERERKRsXfUaXDsdHtoPIz6Fm74Ab3/Xcw6tgx8ectnkrkfDKjSJzl0qm3NHlws0YPcpOImIiEjZ8g+FFsMhoBI0HggN+5khKiTa9bw/3jY7kGflNrXMWwDeJrYSFriRzoWCk4iIiJQ/H3/o9e+Cx2deBS83hG/uAsCWJynZ7TbqVQm+UCN0i4KTiIiIXBhhNQoeSzoAaQmw7iOgYMuBd0a2o3uDSD7/Z+cLMMDzUx+nQkyZMoUpU6aQlZV1/pNFRETEPfUuh37PQnRL83G+AnEcDlrXrESNygHEVg40X1IlmI/GdrrAAy2a+jgVQ32cREREytF7V8CBP3Mf1+0FVz5HZkQjvOw2l2W78qQ+TiIiImJ9/f7r+vivxTD1Mry97BcsNJWUgpOIiIh4Rs3LoHYhjS8Pb7jwY3GTgpOIiIh4znUz4Yr/gs0r99g7PeC3F+DcGY8NqygKTiIiIuI5QZHQ9R4YPc/1+KJnYVpXz4ypGApOIiIi4nm1ukDLEa7HEveY4SkjzTNjKoSCk4iIiFjD1VMKHju6Gf4vBlbPgKxzF35M+Sg4iYiIiDV4eZt73MW0yfeEAfMmwjcTwOHwxMicFJxERETEOloMh9sXF/7cxtlw9tSFHE0BCk4iIiJiPVe9WvjxwPALO458FJxERETEetqPgUePQbUWuccGv+G58WTTXnUiIiJiTd5+8M+lkJ4M/tbY+kwzTiIiImJdNptlQhMoOImIiIi4TcFJRERExE0KTiIiIiJuUnASERERcZOCk4iIiIibFJxERERE3KTgJCIiIuImBScRERERNyk4iYiIiLhJwUlERETETQpOIiIiIm5ScBIRERFxk4KTiIiIiJsUnERERETcpOAkIiIi4iYFJxERERE3KTiJiIiIuEnBSURERMRN3p4egJUZhgFAUlKSh0ciIiIi5SXn73zO3/3iKDgVIzk5GYDY2FgPj0RERETKW3JyMmFhYcWeYzPciVcVlMPh4NChQ4SEhGCz2Tw9HBcdOnRg1apVl+wYyuraf+c6pXmtu68pi/OSkpKIjY0lPj6e0NDQEo3zYuLp3/Xyfn9P/66X5++5u+ee75yK8Lvu6d/z8h6Dp3/Pz/dawzBITk4mJiYGu734KibNOBXDbrdTo0YNTw+jUF5eXh7/D0h5jqGsrv13rlOa17r7mrI8LzQ01OO/C+XJ07/r5f3+nv5dL8/fc3fPdfd6l/Lvuqd/z8t7DJ7+PXfnteebacqh4vCL1IQJEzw9hHIdQ1ld++9cpzSvdfc1ZX3epczTP4Pyfn9P/66X5++5u+d6+p+xFVjhZ6D/prtHS3UiF6mkpCTCwsI4ffq0x/9PVaQ86XddrEQzTiIXKT8/P5544gn8/Pw8PRSRcqXfdbESzTiJiIiIuEkzTiIiIiJuUnASERERcZOCk4iIiIibFJxERERE3KTgJHKJmjdvHo0aNaJBgwa89957nh6OSLkYOnQolStXZvjw4Z4eilQQuqtO5BKUmZlJ06ZNWbRoEaGhobRt25Y//viD8PBwTw9NpEwtWrSIlJQUPvjgA7788ktPD0cqAM04iVyC/vzzT5o1a0b16tUJCQlh4MCBLFiwwNPDEilzvXv3JiQkxNPDkApEwUnEgpYsWcLgwYOJiYnBZrMxd+7cAudMnTqVOnXq4O/vT7t27Vi6dKnzuUOHDlG9enXn4xo1anDw4MELMXQRt/3d33MRT1BwErGg1NRUWrVqxVtvvVXo87Nnz2bixIk88sgjrFu3ju7duzNgwADi4uIAc6fv/Gw2W7mOWaSk/u7vuYgnKDiJWNCAAQN45plnGDZsWKHPv/LKK4wdO5Zx48bRpEkTXnvtNWJjY5k2bRoA1atXd5lhOnDgANHR0Rdk7CLu+ru/5yKeoOAkcpHJyMhgzZo19OvXz+V4v379WLFiBQAdO3Zk8+bNHDx4kOTkZObPn0///v09MVyRUnHn91zEE7w9PQARKZkTJ06QlZVFVFSUy/GoqCiOHDkCgLe3Ny+//DK9e/fG4XDw4IMPEhER4YnhipSKO7/nAP3792ft2rWkpqZSo0YNvv76azp06HChhysViIKTyEUqf82SYRgux4YMGcKQIUMu9LBEytT5fs91t6hcaFqqE7nIREZG4uXl5fJ/3QDHjh0r8H/nIhcr/Z6LVSk4iVxkfH19adeuHQsXLnQ5vnDhQrp06eKhUYmULf2ei1VpqU7EglJSUti9e7fz8d69e1m/fj3h4eHUrFmTSZMmMXLkSNq3b0/nzp159913iYuLY/z48R4ctUjJ6PdcLkbackXEghYvXkzv3r0LHB81ahQzZ84EzMaAL7zwAocPH6Z58+a8+uqr9OjR4wKPVKT09HsuFyMFJxERERE3qcZJRERExE0KTiIiIiJuUnASERERcZOCk4iIiIibFJxERERE3KTgJCIiIuImBScRERERNyk4iYiIiLhJwUlERETETQpOIiIekpGRQf369Vm+fHmZXnfevHm0adMGh8NRptcVEQUnESkjo0ePxmazFfjIu4mruHr33XepVasWXbt2dR6z2WzMnTu3wLmjR4/mmmuuceu6V111FTabjU8++aSMRioiORScRKTMXHnllRw+fNjlo06dOgXOy8jI8MDorOfNN99k3Lhx5XLtW2+9lTfffLNcri1SkSk4iUiZ8fPzo1q1ai4fXl5e9OrVi7vuuotJkyYRGRnJFVdcAcDWrVsZOHAgwcHBREVFMXLkSE6cOOG8XmpqKrfccgvBwcFER0fz8ssv06tXLyZOnOg8p7AZmkqVKjFz5kzn44MHD3LDDTdQuXJlIiIiuPrqq9m3b5/z+ZzZnJdeeono6GgiIiKYMGEC586dc56Tnp7Ogw8+SGxsLH5+fjRo0IDp06djGAb169fnpZdechnD5s2bsdvt7Nmzp9Cf1dq1a9m9ezeDBg0q4U8Z9u3bV+jsXq9evZznDBkyhD///JO//vqrxNcXkaIpOInIBfHBBx/g7e3N8uXLeeeddzh8+DA9e/akdevWrF69mh9//JGjR49y/fXXO1/zwAMPsGjRIr7++mt++uknFi9ezJo1a0r0vmlpafTu3Zvg4GCWLFnCsmXLCA4O5sorr3SZ+Vq0aBF79uxh0aJFfPDBB8ycOdMlfN1yyy189tlnvPHGG2zbto23336b4OBgbDYbY8aMYcaMGS7v+/7779O9e3fq1atX6LiWLFlCw4YNCQ0NLdH3AxAbG+syq7du3ToiIiLo0aOH85xatWpRtWpVli5dWuLri0gxDBGRMjBq1CjDy8vLCAoKcn4MHz7cMAzD6Nmzp9G6dWuX8x977DGjX79+Lsfi4+MNwNixY4eRnJxs+Pr6Gp999pnz+YSEBCMgIMC49957nccA4+uvv3a5TlhYmDFjxgzDMAxj+vTpRqNGjQyHw+F8Pj093QgICDAWLFjgHHutWrWMzMxM5znXXXedccMNNxiGYRg7duwwAGPhwoWFfu+HDh0yvLy8jD/++MMwDMPIyMgwqlSpYsycObPIn9e9995r9OnTp8BxwPD393f5OQYFBRne3t7G1VdfXeD8M2fOGJ06dTKuuuoqIysry+W5Nm3aGE8++WSRYxCRkvP2bGwTkUtJ7969mTZtmvNxUFCQ8+v27du7nLtmzRoWLVpEcHBwgevs2bOHM2fOkJGRQefOnZ3Hw8PDadSoUYnGtGbNGnbv3k1ISIjL8bNnz7osozVr1gwvLy/n4+joaDZt2gTA+vXr8fLyomfPnoW+R3R0NIMGDeL999+nY8eOzJs3j7Nnz3LdddcVOa4zZ87g7+9f6HOvvvoqffv2dTn20EMPkZWVVeDcsWPHkpyczMKFC7HbXRcRAgICSEtLK3IMIlJyCk4iUmaCgoKoX79+kc/l5XA4GDx4MM8//3yBc6Ojo9m1a5db72mz2TAMw+VY3tokh8NBu3btmDVrVoHXVqlSxfm1j49Pgevm3M4fEBBw3nGMGzeOkSNH8uqrrzJjxgxuuOEGAgMDizw/MjLSGczyq1atWoGfY0hICKdOnXI59swzz/Djjz/y559/FgiGAImJiS7fo4j8fQpOIuIRbdu2Zc6cOdSuXRtv74L/Kapfvz4+Pj78/vvv1KxZE4CTJ0+yc+dOl5mfKlWqcPjwYefjXbt2ucyytG3bltmzZ1O1atVS1RMBtGjRAofDwW+//VZgJijHwIEDCQoKYtq0afzwww8sWbKk2Gu2adOGadOmYRgGNputxGOaM2cOTz/9ND/88EOhdVQ5M2pt2rQp8bVFpGgqDhcRj5gwYQKJiYnceOONzru/fvrpJ8aMGUNWVhbBwcGMHTuWBx54gF9++YXNmzczevToAstRffr04a233mLt2rWsXr2a8ePHu8we/eMf/yAyMpKrr76apUuXsnfvXn777TfuvfdeDhw44NZYa9euzahRoxgzZgxz585l7969LF68mM8//9x5jpeXF6NHj+bhhx+mfv36LkuMhenduzepqals2bKlBD810+bNm7nlllt46KGHaNasGUeOHOHIkSMkJiY6z/n999/x8/M77zhEpGQUnETEI2JiYli+fDlZWVn079+f5s2bc++99xIWFuYMRy+++CI9evRgyJAh9O3bl27dutGuXTuX67z88svExsbSo0cPbrrpJu6//36XJbLAwECWLFlCzZo1GTZsGE2aNGHMmDGcOXOmRDNQ06ZNY/jw4dx55500btyY2267jdTUVJdzxo4dS0ZGBmPGjDnv9SIiIhg2bFihS4jns3r1atLS0njmmWeIjo52fgwbNsx5zqeffso//vGPYpcLRaTkbEb+4gAREQvr1asXrVu35rXXXvP0UApYvnw5vXr14sCBA0RFRZ33/E2bNtG3b99Ci9f/juPHj9O4cWNWr15daANSESk9zTiJiPxN6enp7N69m8cee4zrr7/erdAEZu3UCy+84NKMsyzs3buXqVOnKjSJlAMVh4uI/E2ffvopY8eOpXXr1nz00Ucleu2oUaPKfDwdO3akY8eOZX5dEdFSnYiIiIjbtFQnIiIi4iYFJxERERE3KTiJiIiIuEnBSURERMRNCk4iIiIiblJwEhEREXGTgpOIiIiImxScRERERNyk4CQiIiLipv8HnhRrgn32PCoAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "irasa_out_bad = irasa(sig, \n", + " fs=fs, \n", + " band=(.1, 50), \n", + " psd_kwargs={'nperseg': duration*fs, \n", + " 'noverlap': duration*fs*overlap\n", + " },\n", + " hset_info=(1, 8, 0.05))\n", + "\n", + "\n", + "f, ax = plt.subplots(figsize=(6,6))\n", + "ax.loglog(irasa_out_bad.freqs, irasa_out_bad.raw_spectrum[0,:], label='psd')\n", + "ax.loglog(irasa_out_bad.freqs, irasa_out_bad.aperiodic[0,:])\n", + "ax.set_ylabel('Power (a.u.)')\n", + "ax.set_xlabel('Frequency (Hz)')\n", + "ax.set_title('Original + \\n Aperiodic Spectrum')\n", + "\n", + "f.tight_layout()\n", + "\n", + "irasa_out_bad.fit_aperiodic_model(fit_func='knee').aperiodic_params" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So how do we set the hset to avoid this issue. Here I am introducing a way to optimize the hset. \n", + "For this we can take the squared periodic spectrum, which contains apart from the oscillations also in a way the model error, as we get the periodic spectrum by subtracting the \"aperiodic spectrum\" from the original psd.\n", + "However, to get rid from the oscillations in the \"periodic spectrum\" by zeroeing out the oscillations or \"peaks\" in the spectrum. We therefore call the find peaks function. The residual squared spectrum is then averaged and the resultant mean squared error can be used reduce the overall error between the original spectrum (blue line) and modeled aperiodic spectrum (orange line).\n", + "Below we can see that the good model has a much lower \"error\" than the bad model." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "def get_aperiodic_error(irasa_out, peak_kwargs=None):\n", + "\n", + " if peak_kwargs is None:\n", + " peak_kwargs = {}\n", + " #get absolute periodic spectrum\n", + " squared_error = irasa_out.periodic[0,:]**2\n", + "\n", + " #zero-out peaks\n", + " peaks = irasa_out.get_peaks(**peak_kwargs)\n", + " freqs = irasa_out.freqs\n", + "\n", + " for _, peak in peaks.iterrows():\n", + " cur_upper = peak['cf'] + peak['bw']\n", + " cur_lower = peak['cf'] - peak['bw']\n", + "\n", + " freq_mask = np.logical_and(freqs < cur_upper, freqs > cur_lower)\n", + "\n", + " squared_error[freq_mask] = 0\n", + "\n", + " return squared_error" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/6x/k2wvgw51691cj5qd77pzcrfw0000gn/T/ipykernel_27312/2742503906.py:12: UserWarning: No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n", + " plt.legend()\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "f, ax =plt.subplots(ncols=2, figsize=(10, 5))\n", + "\n", + "ax[0].plot(irasa_out.freqs, get_aperiodic_error(irasa_out), label='good')\n", + "ax[0].plot(irasa_out.freqs, get_aperiodic_error(irasa_out_bad), label='bad')\n", + "\n", + "\n", + "df2plot = pd.DataFrame({'good': get_aperiodic_error(irasa_out),\n", + " 'bad': get_aperiodic_error(irasa_out_bad)}).melt(var_name='kind', value_name='error')\n", + "\n", + "sns.pointplot(df2plot, x='kind', y='error', ax=ax[1])\n", + "\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "However, you don't need to calculate it by hand. The IrasaSpectrum object that gets returned by irasa has a method called `get_aperiodic_error`. \n", + "That is taking your model specifications alongside some information for the peak fitting\n", + "to compute the error of your aperiodic spectrum. You just need to specify your kernel size and are good to go :)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [], + "source": [ + "from neurodsp.sim import sim_peak_oscillation, sim_powerlaw, sim_knee, sim_oscillation\n", + "height = 2\n", + "freq = 10\n", + "exp = 2.5\n", + "fs=1000\n", + "n_seconds = 60\n", + "\n", + "peak_params = {'freq': freq, 'bw': 2, 'height': height}\n", + "sig_ap = sim_knee(n_seconds=n_seconds, fs=fs, exponent1=-.0, exponent2= -1*exp, knee=knee)\n", + "sig = sim_peak_oscillation(sig_ap, fs=fs, **peak_params)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [], + "source": [ + "duration=4\n", + "overlap=.5\n", + "\n", + "hmax_list = [2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6]\n", + "\n", + "irasas = []\n", + "for hmax in hmax_list:\n", + " hset_info = (1, hmax, 0.1)\n", + " irasa_out = irasa(sig, \n", + " fs=fs, \n", + " band=(.1, 50), \n", + " psd_kwargs={'nperseg': duration*fs, \n", + " 'noverlap': duration*fs*overlap,\n", + " },\n", + " hset_info=hset_info)\n", + "\n", + " irasas.append(irasa_out)" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "f, ax = plt.subplots(figsize=(6,6))\n", + "ax.loglog(irasas[0].freqs, irasas[0].raw_spectrum[0,:], label='original', linewidth=3)\n", + "for ix, cur_irasa in zip(hmax_list, irasas):\n", + " ax.loglog(cur_irasa.freqs, cur_irasa.aperiodic[0,:], label=f'hmax_{ix}')\n", + "\n", + "ax.set_ylabel('Power (a.u.)')\n", + "ax.set_xlabel('Frequency (Hz)')\n", + "ax.set_title('Original + \\n Aperiodic Spectrum')\n", + "plt.legend()\n", + "f.tight_layout()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn as sns\n", + "\n", + "peak_params = {'min_peak_height': 0.1,\n", + " 'peak_threshold': 1}\n", + "\n", + "data2plot = pd.DataFrame(dict(zip(hmax_list, [get_aperiodic_error(cur_irasa, peak_params) for cur_irasa in irasas])))\n", + "\n", + "sns.pointplot(data2plot.melt(value_name='error', var_name='hmax'), x='hmax', y='error', errorbar='se')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Visualizing the errors shows the best hmax for our specific dataset as the one with the lowest error" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "default", + "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": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/pyrasa/utils/fit_funcs.py b/pyrasa/utils/fit_funcs.py index 3ac59b1..1c63cf1 100644 --- a/pyrasa/utils/fit_funcs.py +++ b/pyrasa/utils/fit_funcs.py @@ -77,17 +77,19 @@ def _get_gof(psd: np.ndarray, psd_pred: np.ndarray, k: int, fit_type: str) -> pd # https://robjhyndman.com/hyndsight/lm_aic.html # c is in practice sometimes dropped. Only relevant when comparing models with different n - # c = n + n * np.log(2 * np.pi) + # c = np.log(n) + np.log(n) * np.log(2 * np.pi) # aic = 2 * k + n * np.log(mse) + c #real - aic = 2 * k + np.log(n) * np.log(mse) + aic = 2 * k + np.log(n) * np.log(mse) # + c + # aic = 2 * k + n * mse # according to Sclove 1987 only difference between BIC and AIC # is that BIC uses log(n) * k instead of 2 * k # bic = np.log(n) * k + n * np.log(mse) + c #real - bic = np.log(n) * k + np.log(n) * np.log(mse) + bic = np.log(n) * k + np.log(n) * np.log(mse) # + c + # bic = np.log(n) * k + n * mse # Sclove 1987 also hints at sample size adjusted bic - an = np.log((n + 2) / 24) # defined in Rissanen 1978 based on minimum-bit representation of a signal + an = (n + 2) / 24 # defined in Rissanen 1978 based on minimum-bit representation of a signal # abic -> https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7299313/ - abic = np.log(an) * k + an * np.log(mse) + abic = np.log(an) * k + np.log(n) * np.log(mse) r2 = 1 - (ss_res / ss_tot) r2_adj = 1 - (((1 - r2) * (n - 1)) / (n - k - 1)) diff --git a/pyrasa/utils/irasa_spectrum.py b/pyrasa/utils/irasa_spectrum.py index 75d5862..96081a9 100644 --- a/pyrasa/utils/irasa_spectrum.py +++ b/pyrasa/utils/irasa_spectrum.py @@ -156,3 +156,52 @@ def get_peaks( polyorder=polyorder, peak_width_limits=peak_width_limits, ) + + def get_aperiodic_error(self, peak_kwargs: None | dict = None) -> np.ndarray: + """ + Computes the frequency resolved error of the aperiodic spectrum. + + This method first computes the absolute of the periodic spectrum and subsequently zeroes out + any peaks in the spectrum that are potentially "oscillations", yielding the residual error of the aperiodic + spectrum as a function of frequency. + This can be useful when trying to optimize hyperparameters such as the hset. + + peak_kwargs : dict + A dictionary containing keyword arguments that are passed on to the peak finding method 'get_peaks' + + Returns + ------- + np.ndarray + A numpy array containing the frequency resolved squared error of the aperiodic + spectrum extracted using irasa + + + Notes + ----- + While not strictly necessary, setting peak_kwargs is highly recommended. + The reason for this is that through up-/downsampling and averaging "broadband" + parameters such as spectral knees can bleed in the periodic spectrum and could be wrongfully + interpreted as oscillations. This can be avoided by e.g. explicitely setting `min_peak_height`. + A good way of making a decision for the periodic parameters is to base it on the settings + used in peak detection. + + """ + + if peak_kwargs is None: + peak_kwargs = {} + # get absolute periodic spectrum + aperiodic_error = np.abs(self.periodic[0, :]) + + # zero-out peaks + peaks = self.get_peaks(**peak_kwargs) + freqs = self.freqs + + for _, peak in peaks.iterrows(): + cur_upper = peak['cf'] + peak['bw'] + cur_lower = peak['cf'] - peak['bw'] + + freq_mask = np.logical_and(freqs < cur_upper, freqs > cur_lower) + + aperiodic_error[freq_mask] = 0 + + return aperiodic_error