mirror of
https://github.com/20kaushik02/CSE515_MWDB_Project.git
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439 lines
186 KiB
Plaintext
439 lines
186 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"from utils import *\n",
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"warnings.filterwarnings('ignore')\n",
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"%matplotlib inline"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"fd_collection = getCollection(\"team_5_mwdb_phase_2\", \"fd_collection\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 49,
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"metadata": {},
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"outputs": [],
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"source": [
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"def pca_inherent_dimensionality(data, threshold):\n",
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"\n",
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" # Calculate the mean of the data\n",
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" mean = np.mean(data, axis=0)\n",
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"\n",
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" # Center the data by subtracting the mean\n",
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" centered_data = data - mean\n",
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"\n",
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" # Normalize the data\n",
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" normalized_data = centered_data / np.std(centered_data, axis=0, ddof=1)\n",
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"\n",
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" # Reshape the normalized data to get 2-mode tensor (matrix)\n",
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" reshaped_normalized_data = normalized_data.reshape(normalized_data.shape[0], -1)\n",
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"\n",
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" # Calculate the covariance matrix\n",
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" covariance_matrix = np.dot(reshaped_normalized_data.T, reshaped_normalized_data) / (reshaped_normalized_data.shape[0])\n",
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"\n",
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" # Compute the eigenvalues and eigenvectors of the covariance matrix\n",
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" eigenvalues, eigenvectors = np.linalg.eig(covariance_matrix)\n",
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" # Sort the eigenvalues in descending order\n",
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" # sorted_indices = np.argsort(eigenvalues)[::-1]\n",
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" # Sort the eigenvectors accordingly\n",
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" # sorted_eigenvectors = eigenvectors[:, sorted_indices]\n",
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" # print(sorted_eigenvectors)\n",
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"\n",
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" # Calculate the mean of each subarray- the sorted_eigenvectors are in the form of subarrays, while computing the inherent dimensionality, each value is compared with \n",
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" #the threshold, hence mean of each subarray is computed and then it is compared with the threshold value (I am not sure if we can do this?)\n",
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" # means = np.mean(sorted_eigenvectors, axis=1)\n",
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" \n",
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" # Determine the number of top eigenvalues such that their cumulative explained variance is greater than threshold\n",
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" cumulative_explained_variance = eigenvalues.cumsum()\n",
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" inherent_dimensionality = np.searchsorted(cumulative_explained_variance, threshold*reshaped_normalized_data.shape[-1], side='right')\n",
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" #inherent_dimensionality = len(significant_eigenvalues)\n",
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" #significant_eigenvalues = means[sorted_eigenvectors > threshold]\n",
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" #significant_eigenvalues = sorted_eigenvectors[sorted_indices][eigenvalues > threshold]\n",
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"\n",
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" return inherent_dimensionality"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {},
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"outputs": [],
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"source": [
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"def library_pca_inherent_dimensionality(data):\n",
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" from sklearn.decomposition import PCA\n",
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"\n",
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" # Calculate the mean of the data\n",
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" mean = np.mean(data, axis=0)\n",
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" # Center the data by subtracting the mean\n",
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" centered_data = data - mean\n",
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" # Normalize the data\n",
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" normalized_data = centered_data / np.std(centered_data, axis=0)\n",
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" # Reshape the centered data to ensure compatible dimensions\n",
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" reshaped_normalized_data = normalized_data.reshape(normalized_data.shape[0], -1)\n",
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" print(reshaped_normalized_data.shape)\n",
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" # Assuming X is your standardized data\n",
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" pca = PCA()\n",
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" pca.fit(reshaped_normalized_data)\n",
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"\n",
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" plt.plot(range(1, len(pca.explained_variance_ratio_) + 1), \n",
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" np.cumsum(pca.explained_variance_ratio_))\n",
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" plt.xlabel('Number of Principal Components')\n",
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" plt.ylabel('Cumulative Explained Variance')\n",
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" plt.show()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 40,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Retrieve all feature spaces from the database\n",
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"cm_data = []\n",
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"hog_data = []\n",
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"layer3_data = []\n",
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"avgpool_data = []\n",
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"fc_data = []\n",
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"resnet_data = []\n",
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"for document in fd_collection.find():\n",
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" cm_data.append(document[\"cm_fd\"])\n",
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" hog_data.append(document[\"hog_fd\"])\n",
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" avgpool_data.append(document[\"avgpool_fd\"])\n",
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" layer3_data.append(document[\"layer3_fd\"])\n",
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" fc_data.append(document[\"fc_fd\"])\n",
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" resnet_data.append(document[\"resnet_fd\"])\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 41,
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"metadata": {},
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"outputs": [],
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"source": [
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"cm_data = np.array(cm_data)\n",
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"hog_data = np.array(hog_data)\n",
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"avgpool_data = np.array(avgpool_data)\n",
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"layer3_data = np.array(layer3_data)\n",
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"fc_data = np.array(fc_data)\n",
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"resnet_data = np.array(resnet_data)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 42,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"(4339, 900)\n"
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]
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},
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{
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"data": {
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3hgajR3N3iSsiIiJLxnBDZnU8MRPTvy8bpO8/fZrh2S7+EldERESWjuGGzCY5uxD/+TwO6lItwtt4YsaA1lKXREREDUCNws0XX3yBnj17wsfHB9evXwcArFixAj///LNJi6P6q7hUg1e/PI70vGK09nLEymc5lg0REdUOo8PNRx99hMjISAwaNAhZWVnQaDQAABcXF6xYscLU9VE9JITA3J/O4dSNsjujPhkZBnuVldRlERFRA2F0uFm1ahXWrl2Lt99+GwrF3cHXwsLCcObMGZMWR/XT17GJ2HTsBuQyYNVzHeHfyE7qkoiIqAExOtwkJCSgY8eOlZarVCrk5+ebpCiqv+KuZ2L+lnMAgOkRrdGnZWOJKyIioobG6HATGBiIkydPVlq+Y8cOtGnTxhQ1UT2VnleM8V/dnQzz1b7NpC6JiIgaIKM7QkRGRmLChAkoKiqCEAKxsbH45ptvEBUVhU8//dQcNVI9oNUKRH57Cqk5xWjh4YD/Ph3KWb6JiEgSRoebl156Cba2tpg9ezYKCgrw/PPPw8fHBytXrsSzzz5rjhqpHliz7wr2XbwFG2s5PhzRiR2IiYhIMjIhhKjpmwsKCpCXlwcPDw9T1mRWOTk5cHZ2RnZ2NpycnKQuxyIcu5aB4Z8chkYr8O5T7THsAT+pSyIiIgtjzPnb6P+9TkhIQGlpKYKCgmBnZwc7u7I7YS5dugRra2sEBATUqGiqnzLz1Zj8zQlotAJDO/jgmbAmUpdEREQNnNEdiseMGYM///yz0vIjR45gzJgxpqiJ6omymb5P4WZ2EZq52+OdJ0LYz4aIiCRndLg5ceIEevbsWWl5t27dqryLiizX/x1IwB/n06C0kmPV8x3hwH42RERUBxgdbmQyGXJzcystz87O1o1WTJbvbFI2lu64AACY81hbtPNxlrgiIiKiMkaHmz59+iAqKkovyGg0GkRFRaFXr14mLY7qpqISDV7fdBIlGoGIdp54oStn+iYiorrD6OsIS5cuRZ8+fdCqVSv07t0bALB//37k5ORg165dJi+Q6p6lOy7gUloeGjuqEPVke/azISKiOsXolpu2bdvi9OnTGDZsGNLS0pCbm4tRo0bhwoULCA4ONrqA1atXIyAgADY2NujatStiY2Or3X7FihVo1aoVbG1t4efnh9dffx1FRUVGfy7VzIFL6fjs4DUAwLtPt4ebvVLagoiIiP6hRj1AfXx8sGTJkvv+8E2bNiEyMhJr1qxB165dsWLFCkRERCA+Pr7KsXO+/vprzJw5E+vWrUOPHj1w8eJFjBkzBjKZDMuXL7/veqh6WQVqvPHdKQDAC9388VCr+jO+ERERNRw1GsQvKysLsbGxSEtLg1ar1Vs3atQog/fTtWtXPPDAA/jggw8AAFqtFn5+fpg0aRJmzpxZafuJEyfi/PnziImJ0S2bNm0ajhw5ggMHDhj0mRzEr+YmfXMCv5y6iUB3e2yb3At2St4dRUREtcOsg/j98ssvGDFiBPLy8uDk5KTX30ImkxkcbtRqNeLi4jBr1izdMrlcjvDwcBw6dKjK9/To0QNffvklYmNj0aVLF1y9ehXbt2/HyJEj7/k5xcXFKC4u1r3OyckxqD7S9+uZZPxy6iYUchneH96BwYaIiOoso/vcTJs2DePGjUNeXh6ysrKQmZmpe2RkZBi8n/T0dGg0Gnh6euot9/T0REpKSpXvef7557Fw4UL06tUL1tbWaN68OR588EG89dZb9/ycqKgoODs76x5+fpwawFiZ+WrM+fkcAOC1vs3Rwc9F2oKIiIiqYXS4SUpKwuTJk3XTLtSmPXv2YMmSJfjwww9x/PhxbN68Gdu2bcOiRYvu+Z5Zs2YhOztb97hx40YtVmwZFm79C+l5ZbN9T3q4hdTlEBERVcvoawsRERE4duwYmjVrdl8f7O7uDoVCgdTUVL3lqamp8PLyqvI9c+bMwciRI/HSSy8BAEJCQpCfn4///Oc/ePvttyGXV85qKpUKKpXqvmptyGLOp+LHE0mQy4D/Pt0eKiuF1CURERFVy+hw8+ijj2L69On466+/EBISAmtra731Q4YMMWg/SqUSnTt3RkxMDIYOHQqgrENxTEwMJk6cWOV7CgoKKgUYhaLsZHsfk5vTPWQXluCtH88AAF7q3Qwd/V0lroiIiOjfGR1uXn75ZQDAwoULK62TyWRGTcEQGRmJ0aNHIywsDF26dMGKFSuQn5+PsWPHAii788rX1xdRUVEAgMGDB2P58uXo2LEjunbtisuXL2POnDkYPHiwLuSQ6URtP4/UnGIEutsj8pGWUpdDRERkEKPDzT9v/b4fw4cPx61btzB37lykpKSgQ4cO2LFjh66TcWJiol5LzezZsyGTyTB79mwkJSWhcePGGDx4MBYvXmyymqjMwcvp2Hi0rH/S0qfaw8aa4ZGIiOqHGo1zU59xnJt/V1SiwYAV+3DtdgFGdW+KhY8bP/I0ERGRKZl1nBsAyM/Px969e5GYmAi1Wq23bvLkyTXZJdUha/ZewbXbBfB0UmF6RCupyyEiIjKK0eHmxIkTGDRoEAoKCpCfnw83Nzekp6fDzs4OHh4eDDf13LX0fHy45woAYM5jbeFoY/0v7yAiIqpbjB7n5vXXX8fgwYORmZkJW1tbHD58GNevX0fnzp3x3nvvmaNGqiVCCMz5+SzUpVr0DnLHoyHeUpdERERkNKPDzcmTJzFt2jTI5XIoFAoUFxfDz88P7777brUjBVPdt+1MMvZfSofSSo5FjwfrTa1BRERUXxgdbqytrXV3MHl4eCAxMREA4OzszNF/67HcohIs/OUvAGVTLAS420tcERERUc0Y3eemY8eOOHr0KIKCgtC3b1/MnTsX6enp+OKLLxAczLtq6qvlOy8iLbcYAY3s8NqDzaUuh4iIqMaMbrlZsmQJvL3L+mIsXrwYrq6ueO2113Dr1i188sknJi+QzO9CSg42/HkNALDw8WCOaUNERPWa0S03YWFhuuceHh7YsWOHSQui2iWEwKKtf0ErgAHtvNCnZWOpSyIiIrovRrfckGX543waDl6+DaVCjrcGtZG6HCIiovtmUMtNp06dEBMTA1dXV3Ts2LHau2iOHz9usuLIvIpLNVi8rawT8Yu9A+HfyE7iioiIiO6fQeHm8ccfh0qlAgDdDN5U/2348xqu3S5AY0cVJjzUQupyiIiITMKgcDNv3jwAgEajwUMPPYT27dvDxcXFnHWRmaXnFWNVzGUAwPSIVnBQ1WgmDiIiojrHqD43CoUC/fv3R2ZmprnqoVqy7Pd45BaXIsTXGU93aiJ1OURERCZjdIfi4OBgXL161Ry1UC2JT8nFxqNlAy7OG9wWcjlHIiYiIsthdLh555138MYbb2Dr1q1ITk5GTk6O3oPqvnd3XIAQwKAQL4QFuEldDhERkUkZ3dFi0KBBAIAhQ4bo3TUlhIBMJoNGozFddWRysQkZiLmQBoVchjf6t5K6HCIiIpMzOtzs3r3bHHVQLRBCIPrX8wCA4Q/4oVljB4krIiIiMj2jw03fvn3NUQfVgt//SsXxxCzYWisw9eEgqcshIiIyixrf/1tQUIDExESo1Wq95e3bt7/vosj0SjVa/Pe3eADAuF4B8HCykbgiIiIi8zA63Ny6dQtjx47Fr7/+WuV69rmpm344/jcup+XBxc4ar/TlrN9ERGS5jL5baurUqcjKysKRI0dga2uLHTt2YMOGDQgKCsKWLVvMUSPdp6ISDd7feQkAMPGhFnCysZa4IiIiIvMxuuVm165d+PnnnxEWFga5XI6mTZvikUcegZOTE6KiovDoo4+ao066D9/EJiIlpwg+zjZ4oVtTqcshIiIyK6NbbvLz8+Hh4QEAcHV1xa1btwAAISEhnDSzDioq0eCjPVcAABP6tYCNtULiioiIiMzL6HDTqlUrxMeXdUwNDQ3Fxx9/jKSkJKxZswbe3t4mL5Duz9dHEpGWWwxfF1s809lP6nKIiIjMzujLUlOmTEFycjKAsgk1BwwYgK+++gpKpRLr1683dX10H4pKNPho751Wm4daQGlldJYlIiKqdwwON08//TReeukljBgxQjcycefOnXH9+nVcuHAB/v7+cHd3N1uhZLyvjiTi1p1Wm6c7c3JMIiJqGAz+X/nMzEw8+uij8Pf3x9y5c3WTZ9rZ2aFTp04MNnVMUYkGa9hqQ0REDZDBZ7yYmBhcvXoVL774Ir788ksEBQWhX79++Prrr1FcXGzOGqkG2GpDREQNlVH/O9+0aVPMnz8fV69exc6dO+Hj44OXX34Z3t7emDBhAuLi4sxVJxmhYqvNxH5stSEiooalxme9fv364csvv0RKSgqioqKwceNGdO3a1ZS1UQ19d+yGrtXmqU5stSEiooalxnNLAUBCQgLWr1+P9evXIzs7G+Hh4aaqi2qoVKPFx/vK+kO90rcZW22IiKjBMfrMV1RUhC+//BL9+vVDUFAQPv/8c7z44otISEjAjh07zFEjGWHr6WT8nVmIRvZKjmtDREQNksEtN7GxsVi3bh02bdqEoqIiPPHEE9ixYwcefvhh3a3hJC0hhG404nG9AmGr5GjERETU8Bgcbrp164bQ0FAsWrQII0aMgKurqznrohrYdSEN8am5cFBZcQ4pIiJqsAwON8eOHUOnTp3MWQvdp/JWmxHd/OFsy5m/iYioYTK4zw2DTd0Wdz0Dx65nQqmQ48WegVKXQ0REJBneSmMh/u9AAgBgaEcfeDjZSFwNERGRdBhuLMCNjALsOJsCoKwjMRERUUPGcGMBPj90DVoB9GrhjtZeTlKXQ0REJCmGm3our7gUG2NvAABeZKsNERGRYXdLdezY0eCxbI4fP35fBZFxvjt2A7nFpWjW2B59WzaWuhwiIiLJGRRuhg4dqnteVFSEDz/8EG3btkX37t0BAIcPH8a5c+cwfvx4sxRJVdNoBT47eA0AMLZnIORyDqZIRERkULiZN2+e7vlLL72EyZMnY9GiRZW2uXHjhmmro2r9cT4ViRkFcLa1xlOdfKUuh4iIqE4wus/Nd999h1GjRlVa/sILL+CHH34wSVFkmA1/XgMAPN/VH3bK+5oDlYiIyGIYHW5sbW1x8ODBSssPHjwIGxuOr1JbrtzKw59XbkMuA6daICIiqsDo/92fOnUqXnvtNRw/fhxdunQBABw5cgTr1q3DnDlzTF4gVe2rw4kAgH6tPeDrYitxNURERHWH0eFm5syZaNasGVauXIkvv/wSANCmTRt89tlnGDZsmMkLpMqKSjT4Pq6sf9OIrmy1ISIiqqhGHTWGDRvGICOhX07dRE5RKZq42qIPb/8mIiLSU6NB/LKysvDpp5/irbfeQkZGBoCy8W2SkpJMWhxV7csjZZeknu/qDwVv/yYiItJjdMvN6dOnER4eDmdnZ1y7dg0vvfQS3NzcsHnzZiQmJuLzzz83R510x9mkbJy6kQVrhQzDwvykLoeIiKjOMbrlJjIyEmPGjMGlS5f07o4aNGgQ9u3bZ9LiqLKv7rTaDAz2hruDSuJqiIiI6h6jw83Ro0fxyiuvVFru6+uLlJQUkxRFVStUa7D11E0AwLNd2GpDRERUFaPDjUqlQk5OTqXlFy9eROPG7NxqTr//lYLc4rKOxN0CG0ldDhERUZ1kdLgZMmQIFi5ciJKSEgCATCZDYmIiZsyYgaeeesrkBdJd38f9DQB4unMTziNFRER0D0aHm2XLliEvLw8eHh4oLCxE37590aJFCzg6OmLx4sXmqJEAJGUV4sDldADAU52aSFwNERFR3WX03VLOzs7YuXMnDhw4gNOnTyMvLw+dOnVCeHi4OeqjO348/jeEALo1c4Ofm53U5RAREdVZNZ5tsVevXujVq5cpa6F7EELoLkk905kdiYmIiKpTo3ATExODmJgYpKWlQavV6q1bt26dSQqju45dz8S12wWwVyowMMRL6nKIiIjqNKPDzYIFC7Bw4UKEhYXB29sbMhk7tprb98fKWm0GhXjDTlnjxjYiIqIGwegz5Zo1a7B+/XqMHDnSHPXQPxSqNdh2JhkA8AxHJCYiIvpXRt8tpVar0aNHD3PUQlXYeT4VecWl8HOzxQMBrlKXQ0REVOcZHW5eeuklfP311+aohaqw5WTZiMRDQn14CZCIiMgARl+WKioqwieffII//vgD7du3h7W1td765cuXm6y4hi67oAR7L6YBAIaE+kpcDRERUf1Qo1nBO3ToAAA4e/as3jq2LJjWjnPJKNEItPJ0RCsvR6nLISIiqheMDje7d+82Rx1UhS13Jskc0sFH4kqIiIjqD6P73FDtSMstwqErtwEAg9sz3BARERnKoJabJ598EuvXr4eTkxOefPLJarfdvHmzSQpr6LadToZWAB38XODfiNMtEBERGcqgcOPs7KzrT+Ps7GzWgqjM9jtj2wwOZasNERGRMQwKN5999lmVz8k8buUW49j1TADAgGBOt0BERGQMyfvcrF69GgEBAbCxsUHXrl0RGxtb7fZZWVmYMGECvL29oVKp0LJlS2zfvr2Wqq0df5xPhRBAiK8zfF1spS6HiIioXqnRREXff/89vv32WyQmJkKtVuutO378uMH72bRpEyIjI7FmzRp07doVK1asQEREBOLj4+Hh4VFpe7VajUceeQQeHh74/vvv4evri+vXr8PFxaUmX6PO+v1cCgAgop2nxJUQERHVP0a33Pzvf//D2LFj4enpiRMnTqBLly5o1KgRrl69ioEDBxq1r+XLl+Pll1/G2LFj0bZtW6xZswZ2dnb3nFl83bp1yMjIwE8//YSePXsiICAAffv2RWhoqLFfo87KLSrBwctld0lFtOMlKSIiImMZHW4+/PBDfPLJJ1i1ahWUSiXefPNN7Ny5E5MnT0Z2drbB+1Gr1YiLi0N4ePjdYuRyhIeH49ChQ1W+Z8uWLejevTsmTJgAT09PBAcHY8mSJdBoNPf8nOLiYuTk5Og96rI98beg1mjRzN0eLTwcpC6HiIio3jE63CQmJuomzrS1tUVubi4AYOTIkfjmm28M3k96ejo0Gg08PfUvvXh6eiIlJaXK91y9ehXff/89NBoNtm/fjjlz5mDZsmV455137vk5UVFRcHZ21j38/Or2zNq/3bkk9Ug7T474TEREVANGhxsvLy9kZGQAAPz9/XH48GEAQEJCAoQQpq3uH7RaLTw8PPDJJ5+gc+fOGD58ON5++22sWbPmnu+ZNWsWsrOzdY8bN26Ytcb7UVyqwZ74WwB4SYqIiKimjO5Q3K9fP2zZsgUdO3bE2LFj8frrr+P777/HsWPH/nWAv4rc3d2hUCiQmpqqtzw1NRVeXlWf2L29vWFtbQ2FQqFb1qZNG6SkpECtVkOpVFZ6j0qlgkqlMrguKR1NyERecSkaO6rQoYmL1OUQERHVS0aHm08++QRarRYAMGHCBDRq1Ah//vknhgwZgldeecXg/SiVSnTu3BkxMTEYOnQogLKWmZiYGEycOLHK9/Ts2RNff/01tFot5PKyRqeLFy/C29u7ymBT35TPAP5gy8aQy3lJioiIqCaMDjdyuVwXLADg2WefxbPPPlujD4+MjMTo0aMRFhaGLl26YMWKFcjPz8fYsWMBAKNGjYKvry+ioqIAAK+99ho++OADTJkyBZMmTcKlS5ewZMkSTJ48uUafX9fsvVh2Sapvq8YSV0JERFR/GRRuTp8+bfAO27dvb/C2w4cPx61btzB37lykpKSgQ4cO2LFjh66TcWJiol6Q8vPzw2+//YbXX38d7du3h6+vL6ZMmYIZM2YY/Jl11c2sQlxMzYNcBvRq4S51OURERPWWTBjQC1gul0Mmk/1rh2GZTFbtbdl1QU5ODpydnZGdnQ0nJyepy9HZGJuImZvPoKO/C34c31PqcoiIiOoUY87fBrXcJCQkmKQwujfdJamWvCRFRER0PwwKN02bNjV3HQ1aqUaLA5fTATDcEBER3a8azS0VHx+PVatW4fz58wDKbseeNGkSWrVqZdLiGopTf2cjt6gUzrbWaM9bwImIiO6L0YP4/fDDDwgODkZcXBxCQ0MRGhqK48ePIzg4GD/88IM5arR4h6+WzSXVvVkjKHgLOBER0X0xuuXmzTffxKxZs7Bw4UK95fPmzcObb76Jp556ymTFNRTl4aZbMzeJKyEiIqr/jG65SU5OxqhRoyotf+GFF5CcnGySohoSdakWx65lAgC6NW8kcTVERET1n9Hh5sEHH8T+/fsrLT9w4AB69+5tkqIakjNJWSgs0cDNXomWHo5Sl0NERFTvGX1ZasiQIZgxYwbi4uLQrVs3AMDhw4fx3XffYcGCBdiyZYvetlS9w1fLJiHtGujGKReIiIhMwKBB/CqqOGJwtTuuowP61bVB/F749AgOXE7HgiHtMLpHgNTlEBER1UkmH8SvovJJM+n+qUu1OHa9rOWmWzP2tyEiIjIFo/vcVKegoMCUu7N4Z5KyUVSiLetv4+kgdTlEREQWwehw8/DDDyMpKanS8iNHjqBDhw6mqKnBOH697C6pzk1dIZOxvw0REZEpGB1ubGxs0L59e2zatAlA2WWq+fPno3fv3hg0aJDJC7RkcRXCDREREZmG0X1utm3bhtWrV2PcuHH4+eefce3aNVy/fh1bt25F//79zVGjRRJC4BjDDRERkcnVaG6pCRMm4O+//8bSpUthZWWFPXv2oEePHqauzaLdyChEel4xrBUyhPg6S10OERGRxTD6slRmZiaeeuopfPTRR/j4448xbNgw9O/fHx9++KE56rNYcYlld0kF+zrDxlohcTVERESWw+iWm+DgYAQGBuLEiRMIDAzEyy+/jE2bNmH8+PHYtm0btm3bZo46LY6uv40/L0kRERGZktEtN6+++ir27duHwMBA3bLhw4fj1KlTUKvVJi3OksVdzwLA/jZERESmZnTLzZw5c6pc3qRJE+zcufO+C2oIcotKEJ+SAwDoxHBDRERkUga33Lz77rsoLCzUvT548CCKi4t1r3NzczF+/HjTVmehziRlQysAXxdbeDrZSF0OERGRRTE43MyaNQu5ubm61wMHDtQbzK+goAAff/yxaauzUH/dLGu1CfaVfm4rIiIiS2NwuPnn/JpGzrdJFZy7E27a+fAWcCIiIlMz6dxSZJhzN7MBAO182HJDRERkagw3tayoRIMrt/IBsOWGiIjIHIy6W+rTTz+Fg0PZ7NWlpaVYv3493N3dAUCvPw7d24WUXGi0Ao3slfB0UkldDhERkcUxONz4+/tj7dq1utdeXl744osvKm1D1Su/JNXWx4kzgRMREZmBweHm2rVrZiyj4SjvTNyW/W2IiIjMgn1uahnvlCIiIjIvhptaVKrR4kJyebhhyw0REZE5MNzUooT0fBSXamGnVCCwkb3U5RAREVkkhptaFJ9adkdZS09HyOXsTExERGQODDe16FJqHgAgyMNB4kqIiIgsV43CzZUrVzB79mw899xzSEtLAwD8+uuvOHfunEmLszSX0u623BAREZF5GB1u9u7di5CQEBw5cgSbN29GXl5Za8SpU6cwb948kxdoSXQtN55suSEiIjIXo8PNzJkz8c4772Dnzp1QKpW65f369cPhw4dNWpwlUZdqkZBeNu1CEFtuiIiIzMbocHPmzBk88cQTlZZ7eHggPT3dJEVZouu381GqFbBXKuDjbCN1OURERBbL6HDj4uKC5OTkSstPnDgBX19fkxRliS7euSTVwtOR0y4QERGZkdHh5tlnn8WMGTOQkpICmUwGrVaLgwcP4o033sCoUaPMUaNF0HUm5p1SREREZmV0uFmyZAlat24NPz8/5OXloW3btujTpw969OiB2bNnm6NGi3ApjZ2JiYiIaoPBE2eWUyqVWLt2LebMmYOzZ88iLy8PHTt2RFBQkDnqsxjX7nQmbubOcENERGRORoebAwcOoFevXvD394e/v785arI4Qggk3i4AADRtZCdxNURERJbN6MtS/fr1Q2BgIN566y389ddf5qjJ4mTkq5FbXAqZDPBzY7ghIiIyJ6PDzc2bNzFt2jTs3bsXwcHB6NChA/773//i77//Nkd9FuF6RlmrjZeTDWysFRJXQ0REZNmMDjfu7u6YOHEiDh48iCtXruCZZ57Bhg0bEBAQgH79+pmjxnqv/JKUP1ttiIiIzO6+Js4MDAzEzJkzER0djZCQEOzdu9dUdVmU6+xvQ0REVGtqHG4OHjyI8ePHw9vbG88//zyCg4Oxbds2U9ZmMa7fLrtTqmkje4krISIisnxG3y01a9YsbNy4ETdv3sQjjzyClStX4vHHH4edHVsl7qW8zw1bboiIiMzP6HCzb98+TJ8+HcOGDYO7u7s5arI4ustSbmy5ISIiMjejw83BgwfNUYfFyi8uRXpeMQDAny03REREZmdQuNmyZQsGDhwIa2trbNmypdpthwwZYpLCLEXinUtSLnbWcLa1lrgaIiIiy2dQuBk6dChSUlLg4eGBoUOH3nM7mUwGjUZjqtosws2sQgBAE1dbiSshIiJqGAwKN1qttsrn9O9uZhcBALydGW6IiIhqg9G3gn/++ecoLi6utFytVuPzzz83SVGWJPlOy42Ps43ElRARETUMRoebsWPHIjs7u9Ly3NxcjB071iRFWZLyy1LeLmy5ISIiqg1GhxshBGQyWaXlf//9N5ydnU1SlCW5e1mKLTdERES1weBbwTt27AiZTAaZTIaHH34YVlZ336rRaJCQkIABAwaYpcj6LDn7zmUpttwQERHVCoPDTfldUidPnkRERAQcHBx065RKJQICAvDUU0+ZvMD6TKsVSLnTcsNwQ0REVDsMDjfz5s0DAAQEBGD48OGwseFlln+Tnl+MEo2AXAZ4OqqkLoeIiKhBMHqE4tGjR5ujDotU3mrT2FEFK8V9TcBOREREBjI63Gg0Grz//vv49ttvkZiYCLVarbc+IyPDZMXVd2k5ZbfMezqxlYuIiKi2GN2csGDBAixfvhzDhw9HdnY2IiMj8eSTT0Iul2P+/PlmKLH+unVnTqnGDrwkRUREVFuMDjdfffUV1q5di2nTpsHKygrPPfccPv30U8ydOxeHDx82R4311q3csnDj4cRwQ0REVFuMDjcpKSkICQkBADg4OOgG9Hvsscewbds201ZXz5WHG7bcEBER1R6jw02TJk2QnJwMAGjevDl+//13AMDRo0ehUvEkXlFa7t0OxURERFQ7jA43TzzxBGJiYgAAkyZNwpw5cxAUFIRRo0Zh3LhxJi+wPtO13DDcEBER1Rqj75aKjo7WPR8+fDj8/f1x6NAhBAUFYfDgwSYtrr7TdSh25N1SREREtcXocPNP3bt3R/fu3U1Ri0URQuhuBfdgyw0REVGtMSjcbNmyxeAdDhkypMbFWJLc4lIUl2oB8LIUERFRbTIo3JTPK/VvZDIZNBrN/dRjMcr72zjaWMHGWiFxNURERA2HQR2KtVqtQY+aBpvVq1cjICAANjY26Nq1K2JjYw1638aNGyGTyQwOX7WJnYmJiIikIfmER5s2bUJkZCTmzZuH48ePIzQ0FBEREUhLS6v2fdeuXcMbb7yB3r1711KlxknjGDdERESSMLpD8cKFC6tdP3fuXKP2t3z5crz88ssYO3YsAGDNmjXYtm0b1q1bh5kzZ1b5Ho1GgxEjRmDBggXYv38/srKyjPrM2sCWGyIiImkYHW5+/PFHvdclJSVISEiAlZUVmjdvblS4UavViIuLw6xZs3TL5HI5wsPDcejQoXu+b+HChfDw8MCLL76I/fv3V/sZxcXFKC4u1r3OyckxuL77oZt6gbeBExER1Sqjw82JEycqLcvJycGYMWPwxBNPGLWv9PR0aDQaeHp66i339PTEhQsXqnzPgQMH8H//9384efKkQZ8RFRWFBQsWGFWXKXB0YiIiImmYpM+Nk5MTFixYgDlz5phid/eUm5uLkSNHYu3atXB3dzfoPbNmzUJ2drbucePGDbPWWC49Tw0AcHdQ1srnERERUZn7HsSvXHl4MIa7uzsUCgVSU1P1lqempsLLy6vS9leuXMG1a9f0RkLWasvGkrGyskJ8fDyaN2+u9x6VSiXJnFdZBWXhxs2e4YaIiKg2GR1u/ve//+m9FkIgOTkZX3zxBQYOHGjUvpRKJTp37oyYmBjd7dxarRYxMTGYOHFipe1bt26NM2fO6C2bPXs2cnNzsXLlSvj5+Rn3Zcwo8064cbFjuCEiIqpNRoeb999/X++1XC5H48aNMXr0aL2OwYaKjIzE6NGjERYWhi5dumDFihXIz8/X3T01atQo+Pr6IioqCjY2NggODtZ7v4uLCwBUWi61zPwSAICrnbXElRARETUsRoebhIQEkxYwfPhw3Lp1C3PnzkVKSgo6dOiAHTt26DoZJyYmQi6XfDgeo6hLtcgrLgUAuLLlhoiIqFbJhBBC6iJqU05ODpydnZGdnQ0nJyezfEZabhG6LI6BTAZcXjwICrnMLJ9DRETUUBhz/ja65aaoqAirVq3C7t27kZaWpuvQW+748ePG7tLiZBWUXZJytrVmsCEiIqplRoebF198Eb///juefvppdOnSBTIZT97/lJl/504pXpIiIiKqdUaHm61bt2L79u3o2bOnOeqxCJl3Wm5c2JmYiIio1hndU9fX1xeOjo7mqMVilI9xw87EREREtc/ocLNs2TLMmDED169fN0c9FuFuyw3DDRERUW0z+rJUWFgYioqK0KxZM9jZ2cHaWv/SS0ZGhsmKq6/uttzwshQREVFtMzrcPPfcc0hKSsKSJUvg6enJDsVVKB+d2JVTLxAREdU6o8PNn3/+iUOHDiE0NNQc9VgEdigmIiKSjtF9blq3bo3CwkJz1GIxcgrvjnNDREREtcvocBMdHY1p06Zhz549uH37NnJycvQeBN3UCw4qk026TkRERAYy+uw7YMAAAMDDDz+st1wIAZlMBo1GY5rK6rHycONow3BDRERU24w+++7evdscdViU3KLycMPLUkRERLXN6HDTt29fc9RhUfKKeFmKiIhIKkafffft21ft+j59+tS4GEtQXKqBWlM2magDL0sRERHVOqPPvg8++GClZRXHumnofW7KW20AwF7JcENERFTbjL5bKjMzU++RlpaGHTt24IEHHsDvv/9ujhrrldwKl6QUcg5wSEREVNuMblpwdnautOyRRx6BUqlEZGQk4uLiTFJYfcXbwImIiKRldMvNvXh6eiI+Pt5Uu6u3dC037G9DREQkCaPPwKdPn9Z7LYRAcnIyoqOj0aFDB1PVVW+x5YaIiEhaRp+BO3ToAJlMBiGE3vJu3bph3bp1JiusvsotKpt6gQP4ERERScPoM3BCQoLea7lcjsaNG8PGxsZkRdVnHJ2YiIhIWkafgZs2bWqOOixGLgfwIyIikpTBHYp37dqFtm3bVjk5ZnZ2Ntq1a4f9+/ebtLj66G7LDadeICIikoLB4WbFihV4+eWX4eTkVGmds7MzXnnlFSxfvtykxdVH5X1u2HJDREQkDYPDzalTp3Qzglelf//+DX6MG+DuCMXsc0NERCQNg8NNamoqrK3vfanFysoKt27dMklR9RlvBSciIpKWweHG19cXZ8+evef606dPw9vb2yRF1WcF6rK5tewYboiIiCRhcLgZNGgQ5syZg6KiokrrCgsLMW/ePDz22GMmLa4+KiwpCze21gqJKyEiImqYDG5emD17NjZv3oyWLVti4sSJaNWqFQDgwoULWL16NTQaDd5++22zFVpfFN5pubGxNtnMFkRERGQEg8ONp6cn/vzzT7z22muYNWuWboRimUyGiIgIrF69Gp6enmYrtL4oLtUCYMsNERGRVIzqGNK0aVNs374dmZmZuHz5MoQQCAoKgqurq7nqq3futtww3BAREUmhRr1eXV1d8cADD5i6FotQ3ueG4YaIiEga7BhiYkXlHYqVDDdERERSYLgxIa1W6Prc2FjxV0tERCQFnoFNqDzYAGy5ISIikgrDjQmV97cBABsrhhsiIiIpMNyYUHm4UVrJIZfLJK6GiIioYWK4MaEijk5MREQkOYYbE+LoxERERNLjWdiEikvLwo2K/W2IiIgkw3BjQurSsikplLwNnIiISDI8C5uQWlN2K7hSwV8rERGRVHgWNqGSO+PcWLPlhoiISDI8C5tQecuNii03REREkuFZ2IRKNOUtNxzjhoiISCoMNyZUPv0C+9wQERFJh2dhE9K13DDcEBERSYZnYRNSl7fcsEMxERGRZHgWNqES3gpOREQkOZ6FTYgtN0RERNLjWdiE1BqOUExERCQ1noVNqLzlhh2KiYiIpMOzsAnp+tyw5YaIiEgyPAubEFtuiIiIpMezsAmVt9yo2HJDREQkGZ6FTehuyw2nXyAiIpIKw40JqTnODRERkeR4FjYhXcsNL0sRERFJhmdhE+LcUkRERNLjWdiESrV3BvFjuCEiIpIMz8ImVN5yo5CzQzEREZFUGG5MSHOn5caK4YaIiEgyDDcmVH5ZyoqXpYiIiCTDs7AJseWGiIhIegw3JlRyZ1Zw9rkhIiKSDsONCWm0ZR2KrThCMRERkWQYbkxI1+dGzl8rERGRVHgWNqFSXpYiIiKSHMONCbFDMRERkfTqRLhZvXo1AgICYGNjg65duyI2Nvae265duxa9e/eGq6srXF1dER4eXu32tamUfW6IiIgkJ3m42bRpEyIjIzFv3jwcP34coaGhiIiIQFpaWpXb79mzB8899xx2796NQ4cOwc/PD/3790dSUlItV16Zhn1uiIiIJCcTQggpC+jatSseeOABfPDBBwAArVYLPz8/TJo0CTNnzvzX92s0Gri6uuKDDz7AqFGj/nX7nJwcODs7Izs7G05OTvddf0WhC35HdmEJ/ojsixYeDibdNxERUUNmzPlb0iYGtVqNuLg4hIeH65bJ5XKEh4fj0KFDBu2joKAAJSUlcHNzq3J9cXExcnJy9B7mUt5yY83LUkRERJKRNNykp6dDo9HA09NTb7mnpydSUlIM2seMGTPg4+OjF5AqioqKgrOzs+7h5+d333XfS3mfG94tRUREJJ163TkkOjoaGzduxI8//ggbG5sqt5k1axays7N1jxs3bpitnvJbwdnnhoiISDpWUn64u7s7FAoFUlNT9ZanpqbCy8ur2ve+9957iI6Oxh9//IH27dvfczuVSgWVSmWSeqsjhNAN4seWGyIiIulI2sSgVCrRuXNnxMTE6JZptVrExMSge/fu93zfu+++i0WLFmHHjh0ICwurjVL/lbZCt2z2uSEiIpKOpC03ABAZGYnRo0cjLCwMXbp0wYoVK5Cfn4+xY8cCAEaNGgVfX19ERUUBAJYuXYq5c+fi66+/RkBAgK5vjoODAxwcpLtDqby/DcCWGyIiIilJHm6GDx+OW7duYe7cuUhJSUGHDh2wY8cOXSfjxMREyCv0Yfnoo4+gVqvx9NNP6+1n3rx5mD9/fm2Wrqe8vw3APjdERERSknycm9pmrnFusgtLELrgdwDApcUDYa1gwCEiIjKVejPOjSXRVOh0o5DxshQREZFUGG5MpFRT1udGLgPk7HNDREQkGYYbEynlvFJERER1As/EJqKbNJO3gRMREUmK4cZEOIAfERFR3cBwYyLlfW6sGG6IiIgkxXBjIndbbvgrJSIikhLPxCZS3ueGUy8QERFJi+HGRNjnhoiIqG5guDERIQRsrRWwsVZIXQoREVGDJvncUpaio78rzi8aIHUZREREDR5bboiIiMiiMNwQERGRRWG4ISIiIovCcENEREQWheGGiIiILArDDREREVkUhhsiIiKyKAw3REREZFEYboiIiMiiMNwQERGRRWG4ISIiIovCcENEREQWheGGiIiILArDDREREVkUK6kLqG1CCABATk6OxJUQERGRocrP2+Xn8eo0uHCTm5sLAPDz85O4EiIiIjJWbm4unJ2dq91GJgyJQBZEq9Xi5s2bcHR0hEwmM9l+c3Jy4Ofnhxs3bsDJyclk+6Wa4zGpW3g86hYej7qHx6R6Qgjk5ubCx8cHcnn1vWoaXMuNXC5HkyZNzLZ/Jycn/lHWMTwmdQuPR93C41H38Jjc27+12JRjh2IiIiKyKAw3REREZFEYbkxEpVJh3rx5UKlUUpdCd/CY1C08HnULj0fdw2NiOg2uQzERERFZNrbcEBERkUVhuCEiIiKLwnBDREREFoXhhoiIiCwKw42JrF69GgEBAbCxsUHXrl0RGxsrdUkWKSoqCg888AAcHR3h4eGBoUOHIj4+Xm+boqIiTJgwAY0aNYKDgwOeeuoppKam6m2TmJiIRx99FHZ2dvDw8MD06dNRWlpam1/FIkVHR0Mmk2Hq1Km6ZTwetSspKQkvvPACGjVqBFtbW4SEhODYsWO69UIIzJ07F97e3rC1tUV4eDguXbqkt4+MjAyMGDECTk5OcHFxwYsvvoi8vLza/ir1nkajwZw5cxAYGAhbW1s0b94cixYt0psbicfDTATdt40bNwqlUinWrVsnzp07J15++WXh4uIiUlNTpS7N4kRERIjPPvtMnD17Vpw8eVIMGjRI+Pv7i7y8PN02r776qvDz8xMxMTHi2LFjolu3bqJHjx669aWlpSI4OFiEh4eLEydOiO3btwt3d3cxa9YsKb6SxYiNjRUBAQGiffv2YsqUKbrlPB61JyMjQzRt2lSMGTNGHDlyRFy9elX89ttv4vLly7ptoqOjhbOzs/jpp5/EqVOnxJAhQ0RgYKAoLCzUbTNgwAARGhoqDh8+LPbv3y9atGghnnvuOSm+Ur22ePFi0ahRI7F161aRkJAgvvvuO+Hg4CBWrlyp24bHwzwYbkygS5cuYsKECbrXGo1G+Pj4iKioKAmrahjS0tIEALF3714hhBBZWVnC2tpafPfdd7ptzp8/LwCIQ4cOCSGE2L59u5DL5SIlJUW3zUcffSScnJxEcXFx7X4BC5GbmyuCgoLEzp07Rd++fXXhhsejds2YMUP06tXrnuu1Wq3w8vIS//3vf3XLsrKyhEqlEt98840QQoi//vpLABBHjx7VbfPrr78KmUwmkpKSzFe8BXr00UfFuHHj9JY9+eSTYsSIEUIIHg9z4mWp+6RWqxEXF4fw8HDdMrlcjvDwcBw6dEjCyhqG7OxsAICbmxsAIC4uDiUlJXrHo3Xr1vD399cdj0OHDiEkJASenp66bSIiIpCTk4Nz587VYvWWY8KECXj00Uf1fu8Aj0dt27JlC8LCwvDMM8/Aw8MDHTt2xNq1a3XrExISkJKSonc8nJ2d0bVrV73j4eLigrCwMN024eHhkMvlOHLkSO19GQvQo0cPxMTE4OLFiwCAU6dO4cCBAxg4cCAAHg9zanATZ5paeno6NBqN3j/MAODp6YkLFy5IVFXDoNVqMXXqVPTs2RPBwcEAgJSUFCiVSri4uOht6+npiZSUFN02VR2v8nVknI0bN+L48eM4evRopXU8HrXr6tWr+OijjxAZGYm33noLR48exeTJk6FUKjF69Gjd77Oq33fF4+Hh4aG33srKCm5ubjweRpo5cyZycnLQunVrKBQKaDQaLF68GCNGjAAAHg8zYrihemvChAk4e/YsDhw4IHUpDdaNGzcwZcoU7Ny5EzY2NlKX0+BptVqEhYVhyZIlAICOHTvi7NmzWLNmDUaPHi1xdQ3Pt99+i6+++gpff/012rVrh5MnT2Lq1Knw8fHh8TAzXpa6T+7u7lAoFJXu/khNTYWXl5dEVVm+iRMnYuvWrdi9ezeaNGmiW+7l5QW1Wo2srCy97SseDy8vryqPV/k6MlxcXBzS0tLQqVMnWFlZwcrKCnv37sX//vc/WFlZwdPTk8ejFnl7e6Nt27Z6y9q0aYPExEQAd3+f1f175eXlhbS0NL31paWlyMjI4PEw0vTp0zFz5kw8++yzCAkJwciRI/H6668jKioKAI+HOTHc3CelUonOnTsjJiZGt0yr1SImJgbdu3eXsDLLJITAxIkT8eOPP2LXrl0IDAzUW9+5c2dYW1vrHY/4+HgkJibqjkf37t1x5swZvX8wdu7cCScnp0onBqreww8/jDNnzuDkyZO6R1hYGEaMGKF7zuNRe3r27FlpaISLFy+iadOmAIDAwEB4eXnpHY+cnBwcOXJE73hkZWUhLi5Ot82uXbug1WrRtWvXWvgWlqOgoAByuf5pVqFQQKvVAuDxMCupezRbgo0bNwqVSiXWr18v/vrrL/Gf//xHuLi46N39Qabx2muvCWdnZ7Fnzx6RnJysexQUFOi2efXVV4W/v7/YtWuXOHbsmOjevbvo3r27bn35rcf9+/cXJ0+eFDt27BCNGzfmrccmUvFuKSF4PGpTbGyssLKyEosXLxaXLl0SX331lbCzsxNffvmlbpvo6Gjh4uIifv75Z3H69Gnx+OOPV3nrcceOHcWRI0fEgQMHRFBQEG89roHRo0cLX19f3a3gmzdvFu7u7uLNN9/UbcPjYR4MNyayatUq4e/vL5RKpejSpYs4fPiw1CVZJABVPj777DPdNoWFhWL8+PHC1dVV2NnZiSeeeEIkJyfr7efatWti4MCBwtbWVri7u4tp06aJkpKSWv42lumf4YbHo3b98ssvIjg4WKhUKtG6dWvxySef6K3XarVizpw5wtPTU6hUKvHwww+L+Ph4vW1u374tnnvuOeHg4CCcnJzE2LFjRW5ubm1+DYuQk5MjpkyZIvz9/YWNjY1o1qyZePvtt/WGOODxMA+ZEBWGSiQiIiKq59jnhoiIiCwKww0RERFZFIYbIiIisigMN0RERGRRGG6IiIjIojDcEBERkUVhuCEiIiKLwnBDREREFoXhhqgOuXbtGmQyGU6ePCl1KToXLlxAt27dYGNjgw4dOph03wEBAVixYoXJ9jdmzBgMHTrUZPsDgD179kAmk1Wa/JOI6i6GG6IKxowZA5lMhujoaL3lP/30E2QymURVSWvevHmwt7dHfHy83gR/FZX/3mQyGZRKJVq0aIGFCxeitLS02n0fPXoU//nPf0xW68qVK7F+/XqT7c8YJ06cwDPPPANPT0/Y2NggKCgIL7/8Mi5evChJPXWVqQMtUVUYboj+wcbGBkuXLkVmZqbUpZiMWq2u8XuvXLmCXr16oWnTpmjUqNE9txswYACSk5Nx6dIlTJs2DfPnz8d///vfautp3Lgx7OzsalzbPzk7O8PFxcVk+zPU1q1b0a1bNxQXF+Orr77C+fPn8eWXX8LZ2Rlz5syp9XqIGjqGG6J/CA8Ph5eXF6Kiou65zfz58ytdolmxYgUCAgJ0r8svkSxZsgSenp5wcXHRtWZMnz4dbm5uaNKkCT777LNK+79w4QJ69OgBGxsbBAcHY+/evXrrz549i4EDB8LBwQGenp4YOXIk0tPTdesffPBBTJw4EVOnToW7uzsiIiKq/B5arRYLFy5EkyZNoFKp0KFDB+zYsUO3XiaTIS4uDgsXLoRMJsP8+fPv+TtRqVTw8vJC06ZN8dprryE8PBxbtmzR+10sXrwYPj4+aNWqFYDK/xcvk8nw6aef4oknnoCdnR2CgoJ0+yh37tw5PPbYY3BycoKjoyN69+6NK1eu6H3OP38PEydOhLOzM9zd3TFnzhxUnFLviy++QFhYGBwdHeHl5YXnn38eaWlp9/ye/1RQUICxY8di0KBB2LJlC8LDwxEYGIiuXbvivffew8cff6zbdu/evejSpQtUKhW8vb0xc+ZMvdatBx98EJMmTcLUqVPh6uoKT09PrF27Fvn5+Rg7diwcHR3RokUL/Prrr7r3lF8227ZtG9q3bw8bGxt069YNZ8+e1avzhx9+QLt27aBSqRAQEIBly5bprQ8ICMCSJUswbtw4ODo6wt/fH5988oneNjdu3MCwYcPg4uICNzc3PP7447h27Zpuffnv/7333oO3tzcaNWqECRMmoKSkRPf9rl+/jtdff13X0gcA169fx+DBg+Hq6gp7e3u0a9cO27dvN/gYEP0Tww3RPygUCixZsgSrVq3C33//fV/72rVrF27evIl9+/Zh+fLlmDdvHh577DG4urriyJEjePXVV/HKK69U+pzp06dj2rRpOHHiBLp3747Bgwfj9u3bAICsrCz069cPHTt2xLFjx7Bjxw6kpqZi2LBhevvYsGEDlEolDh48iDVr1lRZ38qVK7Fs2TK89957OH36NCIiIjBkyBBcunQJAJCcnIx27dph2rRpSE5OxhtvvGHwd7e1tdVrMYqJiUF8fDx27tyJrVu33vN9CxYswLBhw3D69GkMGjQII0aMQEZGBgAgKSkJffr0gUqlwq5duxAXF4dx48ZVe/lrw4YNsLKyQmxsLFauXInly5fj008/1a0vKSnBokWLcOrUKfz000+4du0axowZY/D3/O2335Ceno4333yzyvXlLUlJSUkYNGgQHnjgAZw6dQofffQR/u///g/vvPNOpXrd3d0RGxuLSZMm4bXXXsMzzzyDHj164Pjx4+jfvz9GjhyJgoICvfdNnz4dy5Ytw9GjR9G4cWMMHjxYFyri4uIwbNgwPPvsszhz5gzmz5+POXPmVLqEt2zZMoSFheHEiRMYP348XnvtNcTHx+t+TxEREXB0dMT+/ftx8OBBODg4YMCAAXrHeffu3bhy5Qp2796NDRs2YP369brP2bx5M5o0aYKFCxciOTkZycnJAIAJEyaguLgY+/btw5kzZ7B06VI4ODgYfAyIKpF4VnKiOmX06NHi8ccfF0II0a1bNzFu3DghhBA//vijqPify7x580RoaKjee99//33RtGlTvX01bdpUaDQa3bJWrVqJ3r17616XlpYKe3t78c033wghhEhISBAARHR0tG6bkpIS0aRJE7F06VIhhBCLFi0S/fv31/vsGzduCAAiPj5eCCFE3759RceOHf/1+/r4+IjFixfrLXvggQfE+PHjda9DQ0PFvHnzqt1Pxd+bVqsVO3fuFCqVSrzxxhu69Z6enqK4uFjvfU2bNhXvv/++7jUAMXv2bN3rvLw8AUD8+uuvQgghZs2aJQIDA4Varf7XOoQo+z20adNGaLVa3bIZM2aINm3a3PO7HD16VAAQubm5Qgghdu/eLQCIzMzMKrdfunSpACAyMjLuuU8hhHjrrbdEq1at9GpZvXq1cHBw0P2N9O3bV/Tq1Uu3vvzvY+TIkbplycnJAoA4dOiQXn0bN27UbXP79m1ha2srNm3aJIQQ4vnnnxePPPKIXj3Tp08Xbdu21b1u2rSpeOGFF3SvtVqt8PDwEB999JEQQogvvviiUv3FxcXC1tZW/Pbbb0KIu3/zpaWlum2eeeYZMXz4cL3PqXjMhRAiJCREzJ8/v9rfH5Ex2HJDdA9Lly7Fhg0bcP78+Rrvo127dpDL7/5n5unpiZCQEN1rhUKBRo0aVboM0r17d91zKysrhIWF6eo4deoUdu/eDQcHB92jdevWAKC7PAMAnTt3rra2nJwc3Lx5Ez179tRb3rNnzxp9561bt8LBwQE2NjYYOHAghg8frncZKyQkBEql8l/30759e91ze3t7ODk56X4/J0+eRO/evWFtbW1wXd26ddPrDN69e3dcunQJGo0GQFmrxuDBg+Hv7w9HR0f07dsXAJCYmGjQ/kWFS1zVOX/+PLp3765XS8+ePZGXl6fXclfx+5f/fVT8m/H09ASAav9m3Nzc0KpVK91xPH/+fJXHueLv4Z+fLZPJ4OXlpfucU6dO4fLly3B0dNT93bm5uaGoqEjv765du3ZQKBS6197e3v96mW/y5Ml455130LNnT8ybNw+nT5+udnuif8NwQ3QPffr0QUREBGbNmlVpnVwur3RSK78EUNE/T8IymazKZVqt1uC68vLyMHjwYJw8eVLvcenSJfTp00e3nb29vcH7NIWHHnpIV0dhYSE2bNigV4Oh9VT3+7G1tTVdwQDy8/MREREBJycnfPXVVzh69Ch+/PFHAIZ3wm7ZsiWAsn5SpvBvfzPl4ciYv5n7+ezyz8nLy0Pnzp0r/d1dvHgRzz//vEH7uJeXXnoJV69exciRI3HmzBmEhYVh1apVJvpW1BAx3BBVIzo6Gr/88gsOHTqkt7xx48ZISUnRCzimHJvm8OHDuuelpaWIi4tDmzZtAACdOnXCuXPnEBAQgBYtWug9jAk0Tk5O8PHxwcGDB/WWHzx4EG3btjW6Znt7e7Ro0QL+/v6wsrIy+v2GaN++Pfbv319lkLyXI0eO6L0+fPgwgoKCoFAocOHCBdy+fRvR0dHo3bs3WrdubVRnYgDo378/3N3d8e6771a5vnx8nDZt2uDQoUN6fzMHDx6Eo6MjmjRpYtRnVqXi30xmZiYuXryo+5tp06ZNlce5ZcuWeq0s1enUqRMuXboEDw+PSn93zs7OBtepVCr1WovK+fn54dVXX8XmzZsxbdo0rF271uB9Ev0Tww1RNUJCQjBixAj873//01v+4IMP4tatW3j33Xdx5coVrF69Wu8Olvu1evVq/Pjjj7hw4QImTJiAzMxMjBs3DkBZ58uMjAw899xzOHr0KK5cuYLffvsNY8eOrfKkUZ3p06dj6dKl2LRpE+Lj4zFz5kycPHkSU6ZMMdl3MaWJEyciJycHzz77LI4dO4ZLly7hiy++0HV6rUpiYiIiIyMRHx+Pb775BqtWrdJ9P39/fyiVSqxatQpXr17Fli1bsGjRIqNqsre3x6effopt27ZhyJAh+OOPP3Dt2jUcO3YMb775Jl599VUAwPjx43Hjxg1MmjQJFy5cwM8//4x58+YhMjJS79JlTS1cuBAxMTE4e/YsxowZA3d3d92dY9OmTUNMTAwWLVqEixcvYsOGDfjggw+M6iA+YsQIuLu74/HHH8f+/fuRkJCAPXv2YPLkyUZ1vA8ICMC+ffuQlJSku8Nv6tSp+O2335CQkIDjx49j9+7dumBGVBMMN0T/YuHChZWa1du0aYMPP/wQq1evRmhoKGJjY406Ufyb6OhoREdHIzQ0FAcOHMCWLVvg7u4OALrWFo1Gg/79+yMkJARTp06Fi4uL0SfJyZMnIzIyEtOmTUNISAh27NiBLVu2ICgoyGTfxZQaNWqEXbt2IS8vD3379kXnzp2xdu3aavvgjBo1CoWFhejSpQsmTJiAKVOm6AYObNy4MdavX4/vvvsObdu2RXR0NN577z2j63r88cfx559/wtraGs8//zxat26N5557DtnZ2bq7oXx9fbF9+3bExsYiNDQUr776Kl588UXMnj27Zr+Mf4iOjsaUKVPQuXNnpKSk4JdfftH1cerUqRO+/fZbbNy4EcHBwZg7dy4WLlxo1F1hdnZ22LdvH/z9/fHkk0+iTZs2ePHFF1FUVAQnJyeD97Nw4UJcu3YNzZs3R+PGjQEAGo0GEyZMQJs2bTBgwAC0bNkSH374oVHfn6gimTC0NxwRUT3z4IMPokOHDhY9Iu6ePXvw0EMPITMzU5IBDInqIrbcEBERkUVhuCEiIiKLwstSREREZFHYckNEREQWheGGiIiILArDDREREVkUhhsiIiKyKAw3REREZFEYboiIiMiiMNwQERGRRWG4ISIiIovy/7VddMUfbM+wAAAAAElFTkSuQmCC",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"library_pca_inherent_dimensionality(cm_data)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 56,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Inherent dimensionality associated with the even numbered images: 243\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"threshold=0.95\n",
|
|
"cm_dimensionality = pca_inherent_dimensionality(cm_data, threshold)\n",
|
|
"print(\"Inherent dimensionality associated with the even numbered images: \", cm_dimensionality)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 43,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"(4339, 900)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"library_pca_inherent_dimensionality(hog_data)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 58,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Inherent dimensionality associated with the even numbered images: 556\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"threshold=0.95\n",
|
|
"hog_dimensionality = pca_inherent_dimensionality(hog_data, threshold)\n",
|
|
"print(\"Inherent dimensionality associated with the even numbered images: \", hog_dimensionality)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 44,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"(4339, 1024)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"library_pca_inherent_dimensionality(avgpool_data)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 59,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Inherent dimensionality associated with the even numbered images: 744\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"threshold=0.95\n",
|
|
"avgpool_dimensionality = pca_inherent_dimensionality(avgpool_data, threshold)\n",
|
|
"print(\"Inherent dimensionality associated with the even numbered images: \", avgpool_dimensionality)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 45,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"(4339, 1024)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"library_pca_inherent_dimensionality(layer3_data)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 60,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Inherent dimensionality associated with the even numbered images: 484\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"threshold=0.95\n",
|
|
"layer3_dimensionality = pca_inherent_dimensionality(layer3_data, threshold)\n",
|
|
"print(\"Inherent dimensionality associated with the even numbered images: \", layer3_dimensionality)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 46,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"(4339, 1000)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"library_pca_inherent_dimensionality(fc_data)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 61,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Inherent dimensionality associated with the even numbered images: 393\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"threshold=0.95\n",
|
|
"fc_dimensionality = pca_inherent_dimensionality(fc_data, threshold)\n",
|
|
"print(\"Inherent dimensionality associated with the even numbered images: \", fc_dimensionality)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 47,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"(4339, 1000)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"library_pca_inherent_dimensionality(resnet_data)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 62,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Inherent dimensionality associated with the even numbered images: 737\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"threshold=0.95\n",
|
|
"resnet_dimensionality = pca_inherent_dimensionality(resnet_data, threshold)\n",
|
|
"print(\"Inherent dimensionality associated with the even numbered images: \", resnet_dimensionality)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.10.5"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|