{ "cells": [ { "cell_type": "markdown", "id": "0302490f", "metadata": {}, "source": [ "# Kohonen SOM" ] }, { "cell_type": "markdown", "id": "51f6e34d", "metadata": {}, "source": [ "In this notebook we will use the classic Kohonen Self-Organizing Map (SOM) to deal with 2 basic data sets. We will show some of the functionality of the sciSOM package. We will show how to train and SOM and make a few basic plots to try to asses how well the SOM has learned from the data.\n", "We will be using 2 test datasets for this demonstration:\n", "\n", "- One which we will generate by getting points from 4 gaussian distribution in a 2D space. \n", "- The other will be the penguins dataset, which is currently being used to replace the iris dataset. This dataset coinsists of 3 classes. One fully separable from the rest and 2 classes which are note separable.\n", "\n", "We will normalize the datasets, and examine there results. A separate notebook will be made which will be more in depth regarding the different visualizations we can use to determine the SOM clusters as well as tool to designate said clusters." ] }, { "cell_type": "code", "execution_count": 1, "id": "3e654226", "metadata": {}, "outputs": [], "source": [ "# Here we will import our main SOM module as well as a normalizing function\n", "from sciSOM import SOM, affine_transform, calculate_u_matrix, plot_SOM_gird_neurons\n", "from sciSOM import calculate_density_matrix, display_density_matrix" ] }, { "cell_type": "code", "execution_count": 2, "id": "f5ae7c78", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import random\n", "import matplotlib.pyplot as plt\n", "from scipy.spatial.distance import cdist" ] }, { "cell_type": "markdown", "id": "d9e771a1", "metadata": {}, "source": [ "### 4 gaussian dataset setup\n", "\n", "Lets make a simple dataset which we understand to see if the SOM exhibits the expected behaviours! We will generate a dataset with 4 classes. Each class will be centered at one of 4 points ([1,1] [1,2] [2,1] [2,2]) and we will add some gaussian noise to these coordinates to make our dataset." ] }, { "cell_type": "code", "execution_count": 3, "id": "828670bc", "metadata": {}, "outputs": [], "source": [ "n_samples = 2000 # Total number of samples\n", "centers = np.array([[1, 1], [1, 2], [2, 1], [2, 2]]) # Centers of the 4 Gaussian distributions\n", "std_dev = 0.1 # Standard deviation of the Gaussian distributions\n", "n_centers = len(centers)\n", "samples_per_center = n_samples // n_centers\n", "\n", "data = []\n", "for center in centers:\n", " samples = np.random.normal(loc=center, scale=std_dev, size=(samples_per_center, 2))\n", " data.append(samples)\n", "\n", "# Combine all samples into a single array\n", "gaussian_data_4_classes = np.vstack(data)\n", "\n", "# Lets also normalize our data\n", "gaussian_data_4_classes_norm = affine_transform(gaussian_data_4_classes, 0, 1)" ] }, { "cell_type": "code", "execution_count": 4, "id": "ac193cdc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Y')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Lets plot our data to see what it looks like!\n", "\n", "plt.subplots(figsize=(5, 5))\n", "\n", "plt.scatter(gaussian_data_4_classes_norm[:, 0], \n", " gaussian_data_4_classes_norm[:, 1], \n", " color = 'red',\n", " alpha=0.4)\n", "plt.xlabel('X')\n", "plt.ylabel('Y')\n", "#plt.title('Generated Gaussian Mixture Dataset')\n", "#plt.show()" ] }, { "cell_type": "markdown", "id": "88116cbc", "metadata": {}, "source": [ "### Now lets load up the penguins dataset!\n", "\n", "The dataset coinsists of 3 populations of penguins (Adelie, Gentoo, Chinstrap) and provides data about 4 characteristics:bill_length_mm, bill_depth_mm, flipper_length_mm, body_mass_g. It also include other information such as the sex of the penguins, the island they are from and the year in which this data was recorded however these will not be used for our analysis." ] }, { "cell_type": "code", "execution_count": 5, "id": "84866ef3", "metadata": {}, "outputs": [], "source": [ "# Import the penguins dataset\n", "penguins_df = pd.read_csv(\"../../test_data/penguins.csv\")\n", "\n", "# The dataset constains many nan values, we will reject all data with nans\n", "penguins_df = penguins_df.dropna()" ] }, { "cell_type": "code", "execution_count": 6, "id": "bb31db6e", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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speciesislandbill_length_mmbill_depth_mmflipper_length_mmbody_mass_gsexyear
0AdelieTorgersen39.118.7181.03750.0male2007
1AdelieTorgersen39.517.4186.03800.0female2007
2AdelieTorgersen40.318.0195.03250.0female2007
4AdelieTorgersen36.719.3193.03450.0female2007
5AdelieTorgersen39.320.6190.03650.0male2007
...........................
339ChinstrapDream55.819.8207.04000.0male2009
340ChinstrapDream43.518.1202.03400.0female2009
341ChinstrapDream49.618.2193.03775.0male2009
342ChinstrapDream50.819.0210.04100.0male2009
343ChinstrapDream50.218.7198.03775.0female2009
\n", "

333 rows × 8 columns

\n", "
" ], "text/plain": [ " species island bill_length_mm bill_depth_mm flipper_length_mm \\\n", "0 Adelie Torgersen 39.1 18.7 181.0 \n", "1 Adelie Torgersen 39.5 17.4 186.0 \n", "2 Adelie Torgersen 40.3 18.0 195.0 \n", "4 Adelie Torgersen 36.7 19.3 193.0 \n", "5 Adelie Torgersen 39.3 20.6 190.0 \n", ".. ... ... ... ... ... \n", "339 Chinstrap Dream 55.8 19.8 207.0 \n", "340 Chinstrap Dream 43.5 18.1 202.0 \n", "341 Chinstrap Dream 49.6 18.2 193.0 \n", "342 Chinstrap Dream 50.8 19.0 210.0 \n", "343 Chinstrap Dream 50.2 18.7 198.0 \n", "\n", " body_mass_g sex year \n", "0 3750.0 male 2007 \n", "1 3800.0 female 2007 \n", "2 3250.0 female 2007 \n", "4 3450.0 female 2007 \n", "5 3650.0 male 2007 \n", ".. ... ... ... \n", "339 4000.0 male 2009 \n", "340 3400.0 female 2009 \n", "341 3775.0 male 2009 \n", "342 4100.0 male 2009 \n", "343 3775.0 female 2009 \n", "\n", "[333 rows x 8 columns]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "penguins_df" ] }, { "cell_type": "code", "execution_count": 7, "id": "c7ab04fc", "metadata": {}, "outputs": [], "source": [ "# Function to convert all elements we need into the same datatype (floats)\n", "def convert_to_float(arr):\n", " # Flatten the array to handle nested objects if any\n", " flat_arr = arr.ravel()\n", " \n", " # Convert all elements to float\n", " flat_arr = [float(element) for element in flat_arr]\n", " \n", " # Reshape back to the original shape\n", " return np.array(flat_arr).reshape(arr.shape)" ] }, { "cell_type": "code", "execution_count": 8, "id": "8456715e", "metadata": {}, "outputs": [], "source": [ "penguins_data= np.array((penguins_df.to_numpy()[:,2],\n", " penguins_df.to_numpy()[:,3],\n", " penguins_df.to_numpy()[:,4],\n", " penguins_df.to_numpy()[:,5]))" ] }, { "cell_type": "code", "execution_count": 9, "id": "cef85848", "metadata": {}, "outputs": [], "source": [ "penguins_data = convert_to_float(penguins_data)\n", "penguins_data = np.transpose(penguins_data)\n", "\n", "penguins_data_normalized = affine_transform(penguins_data, 0, 1)" ] }, { "cell_type": "markdown", "id": "9cec2505", "metadata": {}, "source": [ "### Now lets set up everything we need to train the SOM" ] }, { "cell_type": "code", "execution_count": 10, "id": "e2c51f19", "metadata": {}, "outputs": [], "source": [ "# Make the datetype for the input parameter table\n", "dtype = np.dtype([\n", " ('time', 'i8'), \n", " ('alpha', 'float'), \n", " ('sigma', 'float'), \n", " ('max_radius', 'i8')\n", "])" ] }, { "cell_type": "markdown", "id": "40b5db78", "metadata": {}, "source": [ "There are 2 ways to set parameters to train the SOM. \n", "- One of them is to set initial parameters and then use a functional decay in which these parameters are monotonically decreasing over time.\n", "- The second way is to set up a parameter table in which the user chooses which parameters will be used at any given time. Here the user should take care that the parameters decrease or stay the same with every decay step. (might be usedful to have a check to confirm this)" ] }, { "cell_type": "code", "execution_count": 11, "id": "4f25367a", "metadata": {}, "outputs": [], "source": [ "# Make parameters to use for decay functions\n", "parameters = np.zeros(1, dtype=dtype)\n", "\n", "parameters[0] = (100, 0.3, 0.2, 5)" ] }, { "cell_type": "code", "execution_count": 12, "id": "181b59e7", "metadata": {}, "outputs": [], "source": [ "# Make a parameter table to decay via a set schedule\n", "parameters_schedule = np.zeros(3, dtype=dtype)\n", "parameters_schedule[0] = (2000, 0.3, 0.2, 5)\n", "parameters_schedule[1] = (8000, 0.01, 0.1, 3)\n", "parameters_schedule[2] = (40000, 0.001, 0.1, 1)" ] }, { "cell_type": "code", "execution_count": 13, "id": "b2d720a3", "metadata": {}, "outputs": [], "source": [ "# Here we make an instance of the SOM class. It needs to be given the dimensions of the SOM\n", "# As well as the dimensions of the input vectors and the number or itterations for training\n", "# For a full explination of all parameters please see the documentation.\n", "som_model_simple = SOM(x_dim = 7, y_dim = 7, input_dim = 2, n_iter=40000,\n", " learning_parameters=parameters_schedule,\n", " decay_type='schedule', mode = \"batch\", #neighborhood_decay = \"exponential\"\n", " save_weight_cube_history = True\n", " )" ] }, { "cell_type": "code", "execution_count": 14, "id": "17238dd2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# This is a flag that check is the SOM has been trained after you make an instance of it\n", "som_model_simple.is_trained" ] }, { "cell_type": "code", "execution_count": 15, "id": "67a9232c", "metadata": {}, "outputs": [], "source": [ "# Train the SOM\n", "som_model_simple.train(gaussian_data_4_classes_norm)" ] }, { "cell_type": "code", "execution_count": 16, "id": "b03c90a8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "som_model_simple.is_trained" ] }, { "cell_type": "code", "execution_count": 17, "id": "2d3b1548", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[2.349e+03, 1.500e+03, 7.860e+02, 1.900e+01, 1.207e+03, 1.319e+03,\n", " 2.348e+03],\n", " [1.662e+03, 8.260e+02, 6.230e+02, 0.000e+00, 8.260e+02, 6.970e+02,\n", " 1.438e+03],\n", " [1.016e+03, 6.970e+02, 3.120e+02, 0.000e+00, 4.890e+02, 8.760e+02,\n", " 8.750e+02],\n", " [1.200e+01, 1.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 7.000e+00,\n", " 0.000e+00],\n", " [1.205e+03, 7.600e+02, 3.350e+02, 0.000e+00, 3.790e+02, 6.480e+02,\n", " 9.040e+02],\n", " [1.276e+03, 8.470e+02, 6.310e+02, 2.600e+01, 8.340e+02, 8.820e+02,\n", " 1.522e+03],\n", " [2.467e+03, 1.565e+03, 9.650e+02, 0.000e+00, 1.128e+03, 1.255e+03,\n", " 2.486e+03]])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# shows you how often each neuron \"won\" over the training\n", "som_model_simple.weight_cube_history" ] }, { "cell_type": "code", "execution_count": 18, "id": "f37eb813", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Shows how the learning rate decreased over time\n", "plt.plot(som_model_simple.learning_rate_history)" ] }, { "cell_type": "markdown", "id": "700fcb8f", "metadata": {}, "source": [ "With 2D data we can make a very useful plot to determine how well the SOM has learned the data. We can plot the data points and overlay the SOM neurons from the weight cube! Ideally most of the nerons fall in one of the clusters." ] }, { "cell_type": "code", "execution_count": 19, "id": "5834c289", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'SOM weights')" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(gaussian_data_4_classes_norm[:, 0], \n", " gaussian_data_4_classes_norm[:, 1], alpha=0.3,\n", " color = 'red', label = \"input data\")\n", "plt.scatter(som_model_simple.weight_cube.reshape(7*7,2)[:,0],\n", " som_model_simple.weight_cube.reshape(7*7,2)[:,1],\n", " label = 'som_weights')\n", "\n", "\n", "plt.legend()\n", "plt.xlabel('X')\n", "plt.ylabel('Y')\n", "plt.title(\"SOM weights\")" ] }, { "cell_type": "markdown", "id": "f920a062", "metadata": {}, "source": [ "Up next we can plot the neurons in each cell. This is a useful diagnosis specially when dealing with high dimensional data as we cannot construct the plot we made above for this diminsions > 2. It shows us both how the SOM had settled and if it looks like it convereged (does it look like the cells that are close to each other look similar to their neighbors)" ] }, { "cell_type": "code", "execution_count": 20, "id": "f6a35404", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_SOM_gird_neurons(som_model_simple.weight_cube,\n", " )" ] }, { "cell_type": "code", "execution_count": 21, "id": "f4b6190e", "metadata": {}, "outputs": [], "source": [ "gaussian_data_4_classes_wcube = som_model_simple.weight_cube" ] }, { "cell_type": "code", "execution_count": 22, "id": "b57ff632", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U_MAT = calculate_u_matrix(gaussian_data_4_classes_wcube)\n", "DENS_MAT = calculate_density_matrix(gaussian_data_4_classes_wcube, \n", " U_MAT, \n", " gaussian_data_4_classes_norm[:500])\n", "display_density_matrix(DENS_MAT)" ] }, { "cell_type": "code", "execution_count": 23, "id": "a95de6aa", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U_MAT = calculate_u_matrix(gaussian_data_4_classes_wcube)\n", "DENS_MAT = calculate_density_matrix(gaussian_data_4_classes_wcube, \n", " U_MAT, \n", " gaussian_data_4_classes_norm[500:1000])\n", "display_density_matrix(DENS_MAT)" ] }, { "cell_type": "code", "execution_count": 24, "id": "43453d4a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U_MAT = calculate_u_matrix(gaussian_data_4_classes_wcube)\n", "DENS_MAT = calculate_density_matrix(gaussian_data_4_classes_wcube, \n", " U_MAT, \n", " gaussian_data_4_classes_norm[1000:1500])\n", "display_density_matrix(DENS_MAT)" ] }, { "cell_type": "code", "execution_count": 25, "id": "3e282844", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U_MAT = calculate_u_matrix(gaussian_data_4_classes_wcube)\n", "DENS_MAT = calculate_density_matrix(gaussian_data_4_classes_wcube, \n", " U_MAT, \n", " gaussian_data_4_classes_norm[1500:])\n", "display_density_matrix(DENS_MAT)" ] }, { "cell_type": "code", "execution_count": 26, "id": "a2fe15cd", "metadata": {}, "outputs": [], "source": [ "parameters = np.zeros(1, dtype=dtype)\n", "parameters[0] = (100, 0.7, 0.2, 3)" ] }, { "cell_type": "code", "execution_count": 27, "id": "7bc4e41d", "metadata": {}, "outputs": [], "source": [ "som_model = SOM(x_dim = 5, y_dim = 5, input_dim = 4, n_iter=10000,\n", " learning_parameters=parameters,\n", " decay_type='exponential', #'exponential'\n", " )" ] }, { "cell_type": "code", "execution_count": 28, "id": "dbcdc5d9", "metadata": {}, "outputs": [], "source": [ "som_model.train(penguins_data_normalized)" ] }, { "cell_type": "code", "execution_count": 29, "id": "c6d8d7a9", "metadata": {}, "outputs": [], "source": [ "wcube = som_model.weight_cube" ] }, { "cell_type": "code", "execution_count": 30, "id": "6667889d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.7 , 0.69979003, 0.69958013, ..., 0.03488233, 0.03487186,\n", " 0.0348614 ])" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "som_model.learning_rate_history" ] }, { "cell_type": "code", "execution_count": 31, "id": "a6c3f22e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Update radius')" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HAei1115T165dJUlvvPGG8vLy9Omnn+r222/Xfffd59G5Nm3apOTkZG3fvl3r16/XyZMnNWjQIJWUlJz2mOzsbI0ePVobN27Utm3bFBsbq0GDBunw4cNu7QYPHqz8/HzX8sorr3h6qQAA4BwV7OkB3333naKioiRJa9eu1fDhw3Xeeefpuuuu0+zZsz06V2Zmptt6RkaGIiIitGvXLl100UWVHvPyyy+7rT///PNavny5srKyNHbsWNd2u93uqhP+w0zQAIBA5PEdoMjISH388ccqKytTZmamLrvsMknSjz/+qFq1av2hYoqKiiRJjRo1qvIxP/74o06ePFnhmOzsbEVERKh9+/a6+eabdfTo0dOeo7S0VE6n020BAADnLo8D0IQJEzRixAh16tRJNptNCQkJkqQdO3aoQ4cOZ11IeXm5UlJS1K9fP3Xq1KnKx91zzz2KiYlx1SH9/PjrxRdfVFZWlh599FFt2rRJQ4YMUVlZWaXnSE9Pl8PhcC2xsbFnfR0AACDwefwI7IEHHlCnTp106NAhDR8+XHa7XZJUq1Yt3XvvvWddSHJysvbu3astW7ZU+ZgZM2ZoyZIlys7OVkhIiGv7qFGjXD937txZXbp0UZs2bZSdna1LL720wnnS0tKUmprqWnc6nYQgLzOGYdAAgMDhcQCSpL/+9a8Vto0bN+6si5g0aZLWrFmjzZs3q3nz5lU65rHHHtOMGTP09ttvq0uXLmds27p1azVp0kT79++vNADZ7XZXkAMAAOc+jwPQgw8+eMb9U6dOrfK5jDG69dZbtXLlSmVnZysuLq5Kx82cOVOPPPKI1q1bp169ev1u+6+++kpHjx5VdHR0lWsDAADnLo8D0MqVK93WT548qby8PAUHB6tNmzYeBaDk5GQtXrxYq1evVoMGDVRQUCBJcjgcCg0NlSSNHTtWzZo1U3p6uiTp0Ucf1dSpU7V48WK1atXKdUz9+vVVv359FRcXa/r06br66qsVFRWlAwcO6O6771bbtm2VmJjo6eUCAIBzkMcBaM+ePRW2OZ1OjR8/XldeeaVH55o7d64kaeDAgW7bFy5cqPHjx0uSDh48qKCgILdjTpw4UeEx3LRp0/TAAw+oVq1a+uCDD7Ro0SIVFhYqJiZGgwYN0kMPPcRjLgAAIOksxwD9VlhYmKZPn65hw4bp2muvrfJxVRkY+9vZpb/44osztg8NDdW6deuqXAOqB0OgAQCBxGtfhlpUVOSaxwcAACCQeXwH6Omnn3ZbN8YoPz9f//rXvzRkyBCvFYZzg42poAEAAcjjAPTkk0+6rQcFBalp06YaN26c0tLSvFYYAACAr3gcgPLy8nxRBwAAQLXx2hgg4EyYCBoAEEiqdAfoqquuUkZGhsLCwnTVVVedse2KFSu8UhgAAICvVCkAORwO12BWh8Ph04JwbmEINAAgEFUpAC1cuLDSnwEAAGoixgABAADLqdIdoO7du1d5Ppfdu3f/oYJwbmIMNAAgkFQpACUlJbl+/umnn/TMM8/o/PPPV3x8vCRp+/bt+uijj3TLLbf4pEgAAABvqlIAmjZtmuvn66+/XrfddpseeuihCm0OHTrk3epQ4zERNAAgEHk8BmjZsmUaO3Zshe3XXHONli9f7pWiAAAAfMnjABQaGqqtW7dW2L5161aFhIR4pSgAAABf8virMFJSUnTzzTdr9+7d6tOnjyRpx44deuGFFzRlyhSvF4hzg2EqaABAAPE4AN17771q3bq1Zs+erZdeekmS9Kc//UkLFy7UiBEjvF4gAACAt3kcgCRpxIgRhB1UCWOgAQCBiIkQAQCA5Xh8B6isrExPPvmkli5dqoMHD+rEiRNu+7///nuvFQcAAOALHt8Bmj59up544gmNHDlSRUVFSk1N1VVXXaWgoCA98MADPigR5wKGQAMAAonHAejll1/W/Pnzdccddyg4OFijR4/W888/r6lTp2r79u2+qBEAAMCrPA5ABQUF6ty5sySpfv36KioqkiRdfvnlevPNN71bHWq8qn6HHAAA1cnjANS8eXPl5+dLktq0aaN///vfkqT33ntPdrvdu9UBAAD4gMcB6Morr1RWVpYk6dZbb9WUKVPUrl07jR07Vtddd53XCwQAAPA2j98CmzFjhuvnkSNHqmXLlnrnnXfUrl07DRs2zKvF4RzCKGgAQADxKACdPHlSN910k6ZMmaK4uDhJ0gUXXKALLrjAJ8UBAAD4gkePwGrXrs03vsMjjIEGAAQij8cAJSUladWqVT4oBQAAoHp4PAaoXbt2evDBB7V161b17NlT9erVc9t/2223ea04nDsMg4AAAAHE4wC0YMEChYeHa9euXdq1a5fbPpvNRgACAAABz+MAlJeX54s6AAAAqo1fvw0+PT1dvXv3VoMGDRQREaGkpCTl5ub+7nHLli1Thw4dFBISos6dO2vt2rVu+40xmjp1qqKjoxUaGqqEhATt27fPV5eBM2AMNAAgEPk1AG3atEnJycnavn271q9fr5MnT2rQoEEqKSk57THvvPOORo8erYkTJ2rPnj1KSkpSUlKS9u7d62ozc+ZMPf3005o3b5527NihevXqKTExUT/99FN1XBYAAAhwNmNMwIxO/fbbbxUREaFNmzbpoosuqrTNyJEjVVJSojVr1ri2XXDBBerWrZvmzZsnY4xiYmJ0xx136M4775QkFRUVKTIyUhkZGRo1atTv1uF0OuVwOFRUVKSwsDDvXJxF/WvbF5qy+iMNbN9UDyd18nc5qERwUJAiw+x8bxuAGs+Tv98ejwHypV++WLVRo0anbbNt2zalpqa6bUtMTHS9mp+Xl6eCggIlJCS49jscDvXt21fbtm2rNACVlpaqtLTUte50Ov/IZaAS2bnfqv+jG/1dBk7jhgFxum/o+f4uAwCqTcAEoPLycqWkpKhfv37q1On0dwoKCgoUGRnpti0yMlIFBQWu/b9sO12b30pPT9f06dP/SPk4jQtaN1aMI0RHS074uxRUotwYnSwzev+rIn+XAgDV6qwC0H/+8x89++yzOnDggF577TU1a9ZM//rXvxQXF6f+/fufVSHJycnau3evtmzZclbH/xFpaWlud5WcTqdiY2OrvY5zUbvIBnon7VJ/l4HTWPthvm55ebe/ywCAaufxIOjly5crMTFRoaGh2rNnj+vRUVFRkf7xj3+cVRGTJk3SmjVrtHHjRjVv3vyMbaOionTkyBG3bUeOHFFUVJRr/y/bTtfmt+x2u8LCwtwWAABw7vI4AD388MOaN2+e5s+fr9q1a7u29+vXT7t3e/Z/ksYYTZo0SStXrtSGDRtcX7B6JvHx8crKynLbtn79esXHx0uS4uLiFBUV5dbG6XRqx44drjYAAMDaPH4ElpubW+kbWg6HQ4WFhR6dKzk5WYsXL9bq1avVoEED1xgdh8Oh0NBQSdLYsWPVrFkzpaenS5ImT56siy++WI8//riGDh2qJUuWaOfOnXruueck/TwbdUpKih5++GG1a9dOcXFxmjJlimJiYpSUlOTp5QLWEDDvggJA9fA4AEVFRWn//v1q1aqV2/YtW7aodevWHp1r7ty5kqSBAwe6bV+4cKHGjx8vSTp48KCCgv57o+rCCy/U4sWLdf/99+vvf/+72rVrp1WrVrkNnL777rtVUlKiG2+8UYWFherfv78yMzMVEhLiUX0AAODc5HEAuuGGGzR58mS98MILstls+vrrr7Vt2zbdeeedmjJlikfnqsoURNnZ2RW2DR8+XMOHDz/tMTabTQ8++KAefPBBj+oBrIaZfwBYlccB6N5771V5ebkuvfRS/fjjj7roootkt9t155136tZbb/VFjQAAAF7lcQCy2Wy67777dNddd2n//v0qLi7W+eefr/r16/uiPgAAAK/z+C2w6667TseOHVOdOnV0/vnnq0+fPqpfv75KSkp03XXX+aJGAD5mGAUNwGI8DkCLFi3S8ePHK2w/fvy4XnzxRa8UBQAA4EtVfgTmdDpljJExRseOHXN7o6qsrExr165VRESET4oE4Bt8/ykAq6pyAAoPD5fNZpPNZtN5551XYb/NZuP7tAAAQI1Q5QC0ceNGGWP05z//WcuXL3f7xvY6deqoZcuWiomJ8UmRAAAA3lTlAHTxxRdLkvLy8hQbG+s2OSGAmq0KU3IBwDnF49fgW7ZsKUn68ccfdfDgQZ04ccJtf5cuXbxTGQAAgI94HIC+/fZbTZgwQW+99Val+8vKyv5wUQCqC6OgAViTx8+xUlJSVFhYqB07dig0NFSZmZlatGiR2rVrp9dff90XNQIAAHiVx3eANmzYoNWrV6tXr14KCgpSy5YtddlllyksLEzp6ekaOnSoL+oEAADwGo/vAJWUlLjm+2nYsKG+/fZbSVLnzp21e/du71YHoFowBhqA1XgcgNq3b6/c3FxJUteuXfXss8/q8OHDmjdvnqKjo71eIAAAgLd5/Ahs8uTJys/PlyRNmzZNgwcP1ssvv6w6deooIyPD2/UB8CFmggZgVR4HoGuuucb1c8+ePfXll1/q008/VYsWLdSkSROvFgcAAOALHgeg36pbt6569OjhjVoA+IlhJkQAFlOlAJSamlrlEz7xxBNnXQwAAEB1qFIA2rNnj9v67t27derUKbVv316S9Nlnn6lWrVrq2bOn9ysEAADwsioFoI0bN7p+fuKJJ9SgQQMtWrRIDRs2lCT98MMPmjBhggYMGOCbKgH4BGOgAViVx6/BP/7440pPT3eFH+nn+YAefvhhPf74414tDgAAwBc8DkBOp9M1+eGvffvttzp27JhXigJQvRgCDcBqPA5AV155pSZMmKAVK1boq6++0ldffaXly5dr4sSJuuqqq3xRIwAAgFd5/Br8vHnzdOedd+p//ud/dPLkyZ9PEhysiRMnatasWV4vEAAAwNs8DkB169bVM888o1mzZunAgQOSpDZt2qhevXpeLw6Ab9mYChqARZ31RIj16tVzDYQm/AAAgJrE4zFAp06d0pQpU+RwONSqVSu1atVKDodD999/v+uRGICahYmgAViNx3eAbr31Vq1YsUIzZ85UfHy8JGnbtm164IEHdPToUc2dO9frRQIAAHiTxwFo8eLFWrJkiYYMGeLa1qVLF8XGxmr06NEEIAAAEPA8fgRmt9vVqlWrCtvj4uJUp04db9QEoJowBBqAVXkcgCZNmqSHHnpIpaWlrm2lpaV65JFHNGnSJK8WBwAA4AseB6A9e/ZozZo1at68uRISEpSQkKDmzZvrjTfe0Pvvv6+rrrrKtfyezZs3a9iwYYqJiZHNZtOqVavO2H78+PGy2WwVlo4dO7raPPDAAxX2d+jQwdPLBCyFMdAArMbjMUDh4eG6+uqr3bbFxsae1YeXlJSoa9euuu6666oUmGbPnq0ZM2a41k+dOqWuXbtq+PDhbu06duyot99+27UeHHzWb/sDAIBzkMfJYOHChV778CFDhrgNpv49DodDDofDtb5q1SrXN9H/WnBwsKKiorxWJwAAOLd4/AgskCxYsEAJCQlq2bKl2/Z9+/YpJiZGrVu31pgxY3Tw4MEznqe0tFROp9NtAayAiaABWFWVA1DDhg3VqFGjCktcXJwSExO1fv16X9ZZwddff6233npL119/vdv2vn37KiMjQ5mZmZo7d67y8vI0YMCAM35TfXp6uuvuksPhOOtHekCNxUyIACymyo/AnnrqqUq3FxYWateuXbr88sv12muvadiwYd6q7YwWLVqk8PBwJSUluW3/7fxEffv2VcuWLbV06VJNnDix0nOlpaUpNTXVte50OglBAACcw6ocgMaNG3fG/d26dVN6enq1BCBjjF544QVde+21vzv3UHh4uM477zzt37//tG3sdrvsdru3ywQAAAHKa2OALr/8cn366afeOt0Zbdq0Sfv37z/tHZ1fKy4u1oEDBxQdHV0NlQEAgJrAawGotLTU45mgi4uLlZOTo5ycHElSXl6ecnJyXIOW09LSNHbs2ArHLViwQH379lWnTp0q7Lvzzju1adMmffHFF3rnnXd05ZVXqlatWho9erTnFwWc4xgEDcCqvDZBzoIFC9StWzePjtm5c6cuueQS1/ov43DGjRunjIwM5efnV3iDq6ioSMuXL9fs2bMrPedXX32l0aNH6+jRo2ratKn69++v7du3q2nTpp5dEGAhDIEGYDVVDkC/HiT8a0VFRdq9e7c+++wzbd682aMPHzhwoMwZ3j7JyMiosM3hcOjHH3887TFLlizxqAYAAGA9VQ5Ae/bsqXR7WFiYLrvsMq1YsUJxcXFeKwwAAMBXqhyANm7c6Ms6AAAAqk2NngkawB9jE6OgAVgTAQgAE0EDsBwCEAAAsBwCEAAAsBwCEGBlDAECYFEEIAAAYDkEIAAyzAUNwGIIQAAAwHIIQAAAwHIIQICFMQYagFURgAAwESIAyyEAAQAAyyEAAQAAyyEAAQAAyyEAARZmszEMGoA1EYAAMAgagOUQgAAAgOUQgAAAgOUQgAAAgOUQgAALYwg0AKsiAAHgu+ABWA4BCAAAWA4BCAAAWA4BCAAAWA4BCLAwJoIGYFUEIAAyTAUNwGIIQAAAwHIIQAAAwHIIQAAAwHL8GoA2b96sYcOGKSYmRjabTatWrTpj++zsbNlstgpLQUGBW7s5c+aoVatWCgkJUd++ffXuu+/68CqAmsvGXNAALMqvAaikpERdu3bVnDlzPDouNzdX+fn5riUiIsK179VXX1VqaqqmTZum3bt3q2vXrkpMTNQ333zj7fIBAEANFezPDx8yZIiGDBni8XEREREKDw+vdN8TTzyhG264QRMmTJAkzZs3T2+++aZeeOEF3XvvvX+kXAAAcI6okWOAunXrpujoaF122WXaunWra/uJEye0a9cuJSQkuLYFBQUpISFB27ZtO+35SktL5XQ63RYAAHDuqlEBKDo6WvPmzdPy5cu1fPlyxcbGauDAgdq9e7ck6bvvvlNZWZkiIyPdjouMjKwwTujX0tPT5XA4XEtsbKxPrwMAAPiXXx+Beap9+/Zq3769a/3CCy/UgQMH9OSTT+pf//rXWZ83LS1NqamprnWn00kIgiX8MhM08yACsJoaFYAq06dPH23ZskWS1KRJE9WqVUtHjhxxa3PkyBFFRUWd9hx2u112u92ndQIAgMBRox6BVSYnJ0fR0dGSpDp16qhnz57Kyspy7S8vL1dWVpbi4+P9VSIAAAgwfr0DVFxcrP3797vW8/LylJOTo0aNGqlFixZKS0vT4cOH9eKLL0qSnnrqKcXFxaljx4766aef9Pzzz2vDhg3697//7TpHamqqxo0bp169eqlPnz566qmnVFJS4norDAAAwK8BaOfOnbrkkktc67+Mwxk3bpwyMjKUn5+vgwcPuvafOHFCd9xxhw4fPqy6deuqS5cuevvtt93OMXLkSH377beaOnWqCgoK1K1bN2VmZlYYGA0AAKzLZvga6AqcTqccDoeKiooUFhbm73IAn3ln/3f6n+d36LzI+vr37Rf7uxwA+EM8+ftd48cAAQAAeIoABAAALIcABAAALIcABAAALIcABFgZM0EDsCgCEAAAsBwCEAAAsBwCEAAAsBwCEAAAsBwCEGBhtv8bBc0YaABWQwACAACWQwACAACWQwACAACWQwACIMNMiAAshgAEWJjN5u8KAMA/CEAAAMByCEAAAMByCEAAAMByCECAhf0yBIgh0ACshgAEAAAshwAEAAAshwAEAAAshwAEAAAshwAEWJjtl5kQGQUNwGIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQICFMQYagFURgAAAgOUQgAAAgOX4NQBt3rxZw4YNU0xMjGw2m1atWnXG9itWrNBll12mpk2bKiwsTPHx8Vq3bp1bmwceeEA2m81t6dChgw+vAgAA1DR+DUAlJSXq2rWr5syZU6X2mzdv1mWXXaa1a9dq165duuSSSzRs2DDt2bPHrV3Hjh2Vn5/vWrZs2eKL8oFzhjGMAgJgLcH+/PAhQ4ZoyJAhVW7/1FNPua3/4x//0OrVq/XGG2+oe/furu3BwcGKioryVpnAOcvm7wIAwE9q9Big8vJyHTt2TI0aNXLbvm/fPsXExKh169YaM2aMDh48eMbzlJaWyul0ui0AAODcVaMD0GOPPabi4mKNGDHCta1v377KyMhQZmam5s6dq7y8PA0YMEDHjh077XnS09PlcDhcS2xsbHWUDwAA/KTGBqDFixdr+vTpWrp0qSIiIlzbhwwZouHDh6tLly5KTEzU2rVrVVhYqKVLl572XGlpaSoqKnIthw4dqo5LAAAAfuLXMUBna8mSJbr++uu1bNkyJSQknLFteHi4zjvvPO3fv/+0bex2u+x2u7fLBGoMhkADsJoadwfolVde0YQJE/TKK69o6NChv9u+uLhYBw4cUHR0dDVUB9QsNkZBA7Aov94BKi4udrszk5eXp5ycHDVq1EgtWrRQWlqaDh8+rBdffFHSz4+9xo0bp9mzZ6tv374qKCiQJIWGhsrhcEiS7rzzTg0bNkwtW7bU119/rWnTpqlWrVoaPXp09V8gAAAISH69A7Rz5051797d9Qp7amqqunfvrqlTp0qS8vPz3d7geu6553Tq1CklJycrOjratUyePNnV5quvvtLo0aPVvn17jRgxQo0bN9b27dvVtGnT6r04AAAQsPx6B2jgwIFnnIAtIyPDbT07O/t3z7lkyZI/WBUAADjX1bgxQAC8j4mgAVgNAQiwNEZBA7AmAhAAALAcAhAAALAcAhAAALAcAhAAGeaCBmAxBCDAwpgJGoBVEYAAAIDlEIAAAIDlEIAAAIDlEIAAMBM0AMshAAEWxhhoAFZFAAIAAJZDAAIAAJZDAALAGCAAlkMAAgAAlkMAAizMxlTQACyKAAQAACyHAAQAACyHAAQAACyHAAQAACyHAARYGEOgAVgVAQgAAFgOAQgAAFgOAQiADFNBA7AYAhAAALAcAhBgYUwEDcCqCEAAAMByCEAAAMByCEAAxBBoAFZDAAIAAJbj1wC0efNmDRs2TDExMbLZbFq1atXvHpOdna0ePXrIbrerbdu2ysjIqNBmzpw5atWqlUJCQtS3b1+9++673i8eOAfYmAsagEX5NQCVlJSoa9eumjNnTpXa5+XlaejQobrkkkuUk5OjlJQUXX/99Vq3bp2rzauvvqrU1FRNmzZNu3fvVteuXZWYmKhvvvnGV5cBAABqGJsJkBnQbDabVq5cqaSkpNO2ueeee/Tmm29q7969rm2jRo1SYWGhMjMzJUl9+/ZV79699b//+7+SpPLycsXGxurWW2/VvffeW6VanE6nHA6HioqKFBYWdvYXBQS4D78q0rD/3aKmDexaecuF/i4HgIU0sNeWo25tr57Tk7/fwV79ZB/btm2bEhIS3LYlJiYqJSVFknTixAnt2rVLaWlprv1BQUFKSEjQtm3bTnve0tJSlZaWutadTqd3CwcC3LfHStX/0Y3+LgOAhdwysI3uHtzBb59fowJQQUGBIiMj3bZFRkbK6XTq+PHj+uGHH1RWVlZpm08//fS0501PT9f06dN9UjMQyNpF1lfHmDDt/6bY36UAsJjgIP+OQaxRAchX0tLSlJqa6lp3Op2KjY31Y0VA9QipXUtv3jbA32UAQLWrUQEoKipKR44ccdt25MgRhYWFKTQ0VLVq1VKtWrUqbRMVFXXa89rtdtntdp/UDAAAAk+NmgcoPj5eWVlZbtvWr1+v+Ph4SVKdOnXUs2dPtzbl5eXKyspytQEAAPBrACouLlZOTo5ycnIk/fyae05Ojg4ePCjp50dTY8eOdbX/29/+ps8//1x33323Pv30Uz3zzDNaunSpbr/9dleb1NRUzZ8/X4sWLdInn3yim2++WSUlJZowYUK1XhsAAAhcfn0EtnPnTl1yySWu9V/G4YwbN04ZGRnKz893hSFJiouL05tvvqnbb79ds2fPVvPmzfX8888rMTHR1WbkyJH69ttvNXXqVBUUFKhbt27KzMysMDAaAABYV8DMAxRImAcIAICax5O/3zVqDBAAAIA3EIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDlEIAAAIDl1Khvg68uv0yO7XQ6/VwJAACoql/+blflSy4IQJU4duyYJCk2NtbPlQAAAE8dO3ZMDofjjG34LrBKlJeX6+uvv1aDBg1ks9m8em6n06nY2FgdOnSI7xnzIfq5etDP1YN+rh70c/XxVV8bY3Ts2DHFxMQoKOjMo3y4A1SJoKAgNW/e3KefERYWxn9g1YB+rh70c/Wgn6sH/Vx9fNHXv3fn5xcMggYAAJZDAAIAAJZDAKpmdrtd06ZNk91u93cp5zT6uXrQz9WDfq4e9HP1CYS+ZhA0AACwHO4AAQAAyyEAAQAAyyEAAQAAyyEAAQAAyyEAVaM5c+aoVatWCgkJUd++ffXuu+/6u6SAlZ6ert69e6tBgwaKiIhQUlKScnNz3dr89NNPSk5OVuPGjVW/fn1dffXVOnLkiFubgwcPaujQoapbt64iIiJ011136dSpU25tsrOz1aNHD9ntdrVt21YZGRm+vryANWPGDNlsNqWkpLi20c/ec/jwYV1zzTVq3LixQkND1blzZ+3cudO13xijqVOnKjo6WqGhoUpISNC+ffvczvH9999rzJgxCgsLU3h4uCZOnKji4mK3Nh988IEGDBigkJAQxcbGaubMmdVyfYGgrKxMU6ZMUVxcnEJDQ9WmTRs99NBDbt8NRT97bvPmzRo2bJhiYmJks9m0atUqt/3V2afLli1Thw4dFBISos6dO2vt2rVnd1EG1WLJkiWmTp065oUXXjAfffSRueGGG0x4eLg5cuSIv0sLSImJiWbhwoVm7969Jicnx/zlL38xLVq0MMXFxa42f/vb30xsbKzJysoyO3fuNBdccIG58MILXftPnTplOnXqZBISEsyePXvM2rVrTZMmTUxaWpqrzeeff27q1q1rUlNTzccff2z++c9/mlq1apnMzMxqvd5A8O6775pWrVqZLl26mMmTJ7u208/e8f3335uWLVua8ePHmx07dpjPP//crFu3zuzfv9/VZsaMGcbhcJhVq1aZ999/3/y///f/TFxcnDl+/LirzeDBg03Xrl3N9u3bzX/+8x/Ttm1bM3r0aNf+oqIiExkZacaMGWP27t1rXnnlFRMaGmqeffbZar1ef3nkkUdM48aNzZo1a0xeXp5ZtmyZqV+/vpk9e7arDf3subVr15r77rvPrFixwkgyK1eudNtfXX26detWU6tWLTNz5kzz8ccfm/vvv9/Url3bfPjhhx5fEwGomvTp08ckJye71svKykxMTIxJT0/3Y1U1xzfffGMkmU2bNhljjCksLDS1a9c2y5Ytc7X55JNPjCSzbds2Y8zP/8EGBQWZgoICV5u5c+easLAwU1paaowx5u677zYdO3Z0+6yRI0eaxMREX19SQDl27Jhp166dWb9+vbn44otdAYh+9p577rnH9O/f/7T7y8vLTVRUlJk1a5ZrW2FhobHb7eaVV14xxhjz8ccfG0nmvffec7V56623jM1mM4cPHzbGGPPMM8+Yhg0buvr+l89u3769ty8pIA0dOtRcd911btuuuuoqM2bMGGMM/ewNvw1A1dmnI0aMMEOHDnWrp2/fvuamm27y+Dp4BFYNTpw4oV27dikhIcG1LSgoSAkJCdq2bZsfK6s5ioqKJEmNGjWSJO3atUsnT55069MOHTqoRYsWrj7dtm2bOnfurMjISFebxMREOZ1OffTRR642vz7HL22s9u+SnJysoUOHVugL+tl7Xn/9dfXq1UvDhw9XRESEunfvrvnz57v25+XlqaCgwK2fHA6H+vbt69bX4eHh6tWrl6tNQkKCgoKCtGPHDlebiy66SHXq1HG1SUxMVG5urn744QdfX6bfXXjhhcrKytJnn30mSXr//fe1ZcsWDRkyRBL97AvV2afe/F1CAKoG3333ncrKytz+QEhSZGSkCgoK/FRVzVFeXq6UlBT169dPnTp1kiQVFBSoTp06Cg8Pd2v76z4tKCiotM9/2XemNk6nU8ePH/fF5QScJUuWaPfu3UpPT6+wj372ns8//1xz585Vu3bttG7dOt1888267bbbtGjRIkn/7asz/Z4oKChQRESE2/7g4GA1atTIo3+Pc9m9996rUaNGqUOHDqpdu7a6d++ulJQUjRkzRhL97AvV2aena3M2fc63wSPgJScna+/evdqyZYu/SznnHDp0SJMnT9b69esVEhLi73LOaeXl5erVq5f+8Y9/SJK6d++uvXv3at68eRo3bpyfqzt3LF26VC+//LIWL16sjh07KicnRykpKYqJiaGf4YY7QNWgSZMmqlWrVoU3Z44cOaKoqCg/VVUzTJo0SWvWrNHGjRvVvHlz1/aoqCidOHFChYWFbu1/3adRUVGV9vkv+87UJiwsTKGhod6+nICza9cuffPNN+rRo4eCg4MVHBysTZs26emnn1ZwcLAiIyPpZy+Jjo7W+eef77btT3/6kw4ePCjpv311pt8TUVFR+uabb9z2nzp1St9//71H/x7nsrvuust1F6hz58669tprdfvtt7vucNLP3ledfXq6NmfT5wSgalCnTh317NlTWVlZrm3l5eXKyspSfHy8HysLXMYYTZo0SStXrtSGDRsUFxfntr9nz56qXbu2W5/m5ubq4MGDrj6Nj4/Xhx9+6PYf3fr16xUWFub6QxQfH+92jl/aWOXf5dJLL9WHH36onJwc19KrVy+NGTPG9TP97B39+vWrMJXDZ599ppYtW0qS4uLiFBUV5dZPTqdTO3bscOvrwsJC7dq1y9Vmw4YNKi8vV9++fV1tNm/erJMnT7rarF+/Xu3bt1fDhg19dn2B4scff1RQkPuftlq1aqm8vFwS/ewL1dmnXv1d4vGwaZyVJUuWGLvdbjIyMszHH39sbrzxRhMeHu725gz+6+abbzYOh8NkZ2eb/Px81/Ljjz+62vztb38zLVq0MBs2bDA7d+408fHxJj4+3rX/l9ezBw0aZHJyckxmZqZp2rRppa9n33XXXeaTTz4xc+bMsdzr2b/167fAjKGfveXdd981wcHB5pFHHjH79u0zL7/8sqlbt6556aWXXG1mzJhhwsPDzerVq80HH3xgrrjiikpfJe7evbvZsWOH2bJli2nXrp3bq8SFhYUmMjLSXHvttWbv3r1myZIlpm7duufs69m/NW7cONOsWTPXa/ArVqwwTZo0MXfffberDf3suWPHjpk9e/aYPXv2GEnmiSeeMHv27DFffvmlMab6+nTr1q0mODjYPPbYY+aTTz4x06ZN4zX4muCf//ynadGihalTp47p06eP2b59u79LCliSKl0WLlzoanP8+HFzyy23mIYNG5q6deuaK6+80uTn57ud54svvjBDhgwxoaGhpkmTJuaOO+4wJ0+edGuzceNG061bN1OnTh3TunVrt8+wot8GIPrZe9544w3TqVMnY7fbTYcOHcxzzz3ntr+8vNxMmTLFREZGGrvdbi699FKTm5vr1ubo0aNm9OjRpn79+iYsLMxMmDDBHDt2zK3N+++/b/r372/sdrtp1qyZmTFjhs+vLVA4nU4zefJk06JFCxMSEmJat25t7rvvPrdXq+lnz23cuLHS38njxo0zxlRvny5dutScd955pk6dOqZjx47mzTffPKtrshnzq+kxAQAALIAxQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQAAAwHIIQADOSa1atdJTTz3l7zIABCgCEICzNn78eCUlJfm7jEq99957uvHGG/1aAyEMCFzB/i4AADxx8uRJ1a5d+3fbNW3atBqqAVBTcQcIgM/s3btXQ4YMUf369RUZGalrr71W3333nWt/Zmam+vfvr/DwcDVu3FiXX365Dhw44Nr/xRdfyGaz6dVXX9XFF1+skJAQvfzyy647T4899piio6PVuHFjJScn6+TJk65jf3v3xWaz6fnnn9eVV16punXrql27dnr99dfd6n399dfVrl07hYSE6JJLLtGiRYtks9lUWFhY6fUZY/TAAw+oRYsWstvtiomJ0W233SZJGjhwoL788kvdfvvtstlsstlsruO2bNmiAQMGKDQ0VLGxsbrttttUUlLiVvtDDz2k0aNHq169emrWrJnmzJlzVv8GACpHAALgE4WFhfrzn/+s7t27a+fOncrMzNSRI0c0YsQIV5uSkhKlpqZq586dysrKUlBQkK688kqVl5e7nevee+/V5MmT9cknnygxMVGStHHjRh04cEAbN27UokWLlJGRoYyMjDPWNH36dI0YMUIffPCB/vKXv2jMmDH6/vvvJUl5eXn661//qqSkJL3//vu66aabdN99953xfMuXL9eTTz6pZ599Vvv27dOqVavUuXNnSdKKFSvUvHlzPfjgg8rPz1d+fr4k6cCBAxo8eLCuvvpqffDBB3r11Ve1ZcsWTZo0ye3cs2bNUteuXbVnzx7X9a9fv/73Ox5A1ZzVd8gDgDFm3Lhx5oorrqh030MPPWQGDRrktu3QoUNGksnNza30mG+//dZIMh9++KExxpi8vDwjyTz11FMVPrdly5bm1KlTrm3Dhw83I0eOdK23bNnSPPnkk651Seb+++93rRcXFxtJ5q233jLGGHPPPfeYTp06uX3OfffdZySZH374odJ6H3/8cXPeeeeZEydOVLr/tzUYY8zEiRPNjTfe6LbtP//5jwkKCjLHjx93HTd48GC3NiNHjjRDhgyp9HMAeI47QAB84v3339fGjRtVv35919KhQwdJcj3m2rdvn0aPHq3WrVsrLCxMrVq1kiQdPHjQ7Vy9evWqcP6OHTuqVq1arvXo6Gh98803Z6ypS5curp/r1aunsLAw1zG5ubnq3bu3W/s+ffqc8XzDhw/X8ePH1bp1a91www1auXKlTp06dcZj3n//fWVkZLj1S2JiosrLy5WXl+dqFx8f73ZcfHy8PvnkkzOeG0DVMQgagE8UFxdr2LBhevTRRyvsi46OliQNGzZMLVu21Pz58xUTE6Py8nJ16tRJJ06ccGtfr169Cuf47UBom81W4dGZN445k9jYWOXm5urtt9/W+vXrdcstt2jWrFnatGnTaQdqFxcX66abbnKNFfq1Fi1anHUtADxDAALgEz169NDy5cvVqlUrBQdX/FVz9OhR5ebmav78+RowYICknwcH+0v79u21du1at23vvffe7x4XGhqqYcOGadiwYUpOTlaHDh304YcfqkePHqpTp47Kysrc2vfo0UMff/yx2rZte8bzbt++vcL6n/70pypeDYDfwyMwAH9IUVGRcnJy3JZDhw4pOTlZ33//vUaPHq333ntPBw4c0Lp16zRhwgSVlZWpYcOGaty4sZ577jnt379fGzZsUGpqqt+u46abbtKnn36qe+65R5999pmWLl3qGlT96ze4fi0jI0MLFizQ3r179fnnn+ull15SaGioWrZsKennt7k2b96sw4cPu95+u+eee/TOO+9o0qRJysnJ0b59+7R69eoKg6C3bt2qmTNn6rPPPtOcOXO0bNkyTZ482XcdAFgMAQjAH5Kdna3u3bu7LdOnT1dMTIy2bt2qsrIyDRo0SJ07d1ZKSorCw8MVFBSkoKAgLVmyRLt27VKnTp10++23a9asWX67jri4OL322mtasWKFunTporlz57reArPb7ZUeEx4ervnz56tfv37q0qWL3n77bb3xxhtq3LixJOnBBx/UF198oTZt2rjmJerSpYs2bdqkzz77TAMGDFD37t01depUxcTEuJ37jjvu0M6dO9W9e3c9/PDDeuKJJ1xvwAH442zGGOPvIgAgED3yyCOaN2+eDh06VK2f26pVK6WkpCglJaVaPxewEsYAAcD/eeaZZ9S7d281btxYW7du1axZsyo8mgJwbiAAAcD/2bdvnx5++GF9//33atGihe644w6lpaX5uywAPsAjMAAAYDkMggYAAJZDAAIAAJZDAAIAAJZDAAIAAJZDAAIAAJZDAAIAAJZDAAIAAJZDAAIAAJbz/wFAWvPHLf0FuAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(som_model.learning_radius_history)\n", "plt.xlabel(\"Learning step\")\n", "plt.ylabel(\"Update radius\")" ] }, { "cell_type": "code", "execution_count": 32, "id": "49c13370", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Learning rate [alpha]')" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(som_model.learning_rate_history)\n", "plt.xlabel(\"Learning step\")\n", "plt.ylabel(\"Learning rate [alpha]\")" ] }, { "cell_type": "code", "execution_count": 33, "id": "0f86558b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Neighborhood Radius')" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(som_model.learning_radius_history)\n", "plt.xlabel(\"Learning step\")\n", "plt.ylabel(\"Neighborhood Radius\")" ] }, { "cell_type": "code", "execution_count": 34, "id": "3901056c", "metadata": {}, "outputs": [ { "data": { "image/png": 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2M7YjkXgBAEZqs05udsabiMQLADASc7wAAMA2Kl4AgJG8cqlNLlvjTUTiBQAYyWud3OyMNxGtZgAAHETFCwAwUpvNVrOdsR2JxAsAMFKkJl5azQAAOIiKFwBgJK/lkteysarZxtiOROIFABiJVjMAALCNihcAYKQ2RanNRn3YFsJYQonECwAwkmVzjtdijhcAgMAxxwsAAGxrV+ItKirSJZdcotjYWI0ZM0ZvvvlmqOMCAHRybVaU7c1EQUe1fv165eXlqaCgQG+99ZaGDRumrKwsHTlypCPiAwB0Ul655FWUjS1CWs1PPPGE5s+fr7lz52rw4MFauXKlLr74Yj3zzDMdER8AABElqMVVx48fV1VVlfLz8337oqKiNHHiRO3evfusY1pbW9Xa2up73dDQ0M5QAQCdCYurJH366adqa2tTUlKS3/6kpCTV1taedUxhYaE8Ho9vS01NbX+0AIBOgznedsrPz1d9fb1vq6mp6ehTAgBgrKBazb169VJ0dLTq6ur89tfV1Sk5OfmsY9xut9xud/sjBAB0SicXV9l4SEIktJpjYmI0cuRIbd++3bfP6/Vq+/btysjICHlwAIDOy3vqlpHt3byG3qoi6DtX5eXlafbs2Ro1apSuvvpqLV26VM3NzZo7d25HxAcAQEQJOvHefvvt+uSTT7Ro0SLV1tZq+PDh2rJlyxkLrgAAsMPuAqk2ywphNKHTrns15+bmKjc3N9SxAADg47XZLvYqghIvAAAdrc1yqc3GE4bsjO1IZs48AwAQoah4AQBGOr06uf3jaTUDABAwrxUlr43FVV5DF1fRagYAwEFUvAAAI9FqBgDAQV7ZW5nsDV0oIUWrGQAAB1HxAgCMZP8GGmbWliReAICR7N8y0szEa2ZUAABEKCpeAICRIvV5vCReAICRaDUDAOCgYB98f7YtGIWFhRo9erTi4uKUmJioqVOnat++fX7HZGZmyuVy+W133313UOch8QIAIKm8vFw5OTmqqKjQtm3bdOLECU2aNEnNzc1+x82fP1+HDx/2bb/97W+DOg+tZgCAkbyWS147N9AIcuyWLVv8XhcXFysxMVFVVVUaN26cb//FF1+s5OTkdsdFxQsAMJLXZpv59HW8DQ0Nfltra2tA56+vr5ckJSQk+O1fu3atevXqpSFDhig/P1+ff/55UN+LihcAENFSU1P9XhcUFGjx4sXnHeP1erVw4UKNHTtWQ4YM8e2/44471L9/f6WkpOjtt9/WAw88oH379ulPf/pTwPGQeAEARrL/WMCTY2tqahQfH+/b73a7v3ZsTk6O3nnnHb322mt++++66y7fPw8dOlR9+vTRhAkTdODAAQ0YMCCguEi8AAAjtcmlNhvX4p4eGx8f75d4v05ubq5eeeUV7dq1S3379j3vsWPGjJEk7d+/n8QLAEAwLMvSggULVFpaqrKyMqWlpX3tmOrqaklSnz59Aj4PiRcAYKRQtZoDlZOTo5KSEm3atElxcXGqra2VJHk8HnXt2lUHDhxQSUmJvv3tb6tnz556++23dd9992ncuHFKT08P+DwkXgCAkdokm63m4KxYsULSyZtkfNmaNWs0Z84cxcTE6NVXX9XSpUvV3Nys1NRUTZs2Tb/4xS+COg+JFwAAnWw1n09qaqrKy8ttn4fECwAwktOtZqeQeAEARorUhySQeAEARrJsPhbQMvSxgGb+OQAAQISi4gUAGIlWMxz36djAL8juzFo3mdlOMk3emz8KdwgXhA8ndQ93CEZra22R9HNHzuX004mcYuafAwAARCgqXgCAkU4/3s/OeBOReAEARqLVDAAAbKPiBQAYyasoeW3Uh3bGdiQSLwDASG2WS2022sV2xnYkM/8cAAAgQlHxAgCMFKmLq0i8AAAjWTafTmRx5yoAAALXJpfabDzowM7YjmTmnwMAAEQoKl4AgJG8lr15Wq8VwmBCiMQLADCS1+Ycr52xHcnMqAAAiFBUvAAAI3nlktfGAik7YzsSiRcAYCTuXAUAAGyj4gUAGClSF1eReAEARvLK5i0jDZ3jNfPPAQAAIhQVLwDASJbNVc2WoRUviRcAYCSeTgQAgIMidXGVmVEBABChqHgBAEai1QwAgIMi9ZaRtJoBAHAQFS8AwEi0mgEAcFCkJl5azQAAOIiKFwBgpEiteEm8AAAjRWripdUMAICDgk68u3bt0uTJk5WSkiKXy6WNGzd2QFgAgM7O0j+v5W3PZoX7C5xD0Im3ublZw4YNU1FRUUfEAwCApH+2mu1sJgp6jjc7O1vZ2dkdEQsAAD6ROsfb4YurWltb1dra6nvd0NDQ0acEAMBYHb64qrCwUB6Px7elpqZ29CkBABEgUlvNHZ548/PzVV9f79tqamo6+pQAgAgQqYm3w1vNbrdbbre7o08DAMAFgRtoAACMZFkuWTaqVjtjO1LQibepqUn79+/3vT548KCqq6uVkJCgfv36hTQ4AEDnFanP4w068e7Zs0fXX3+973VeXp4kafbs2SouLg5ZYAAARKKgE29mZqYsy9T7gQAAIgXX8QIA4KBInePlIQkAAOjkfSdGjx6tuLg4JSYmaurUqdq3b5/fMS0tLcrJyVHPnj3VvXt3TZs2TXV1dUGdh8QLADCS09fxlpeXKycnRxUVFdq2bZtOnDihSZMmqbm52XfMfffdp5dfflkbNmxQeXm5Pv74Y916661BnYdWMwDASE63mrds2eL3uri4WImJiaqqqtK4ceNUX1+v1atXq6SkROPHj5ckrVmzRldccYUqKip0zTXXBHQeKl4AgJEsm9Xu6cTb0NDgt335+QHnU19fL0lKSEiQJFVVVenEiROaOHGi75jLL79c/fr10+7duwP+XiReAEBES01N9XtmQGFh4deO8Xq9WrhwocaOHashQ4ZIkmpraxUTE6MePXr4HZuUlKTa2tqA46HVDAAwkiXJztWrp4fW1NQoPj7etz+Q2xjn5OTonXfe0Wuvvdb+AM6BxAsAMJJXLrlCcOeq+Ph4v8T7dXJzc/XKK69o165d6tu3r29/cnKyjh8/rmPHjvlVvXV1dUpOTg7482k1AwAgybIs5ebmqrS0VDt27FBaWprf+yNHjtRFF12k7du3+/bt27dPH374oTIyMgI+DxUvAMBITq9qzsnJUUlJiTZt2qS4uDjfvK3H41HXrl3l8Xg0b9485eXlKSEhQfHx8VqwYIEyMjICXtEskXgBAIbyWi65HLxl5IoVKySdvDXyl61Zs0Zz5syRJD355JOKiorStGnT1NraqqysLC1fvjyo85B4AQCQAnoOQWxsrIqKilRUVNTu85B4AQBGsiybq5oNfZ4PiRcAYCQekgAAAGyj4gUAGClSK14SLwDASE6vanYKiRcAYKRIXVzFHC8AAA6i4gUAGOlkxWtnjjeEwYQQiRcAYKRIXVxFqxkAAAdR8QIAjGTpn8/Ube94E5F4AQBGotUMAABso+IFAJgpQnvNJF4AgJlstpplaKuZxAsAMBJ3rgIAALZR8Rqs1+uHwx3CBeFvP0sMdwgXhB4H3OEO4YLQ7+E3wh2C0b6wTuiAQ+eK1FXNJF4AgJksl715WkMTL61mAAAcRMULADBSpC6uIvECAMwUodfx0moGAMBBVLwAACOxqhkAAKcZ2i62g1YzAAAOouIFABiJVjMAAE6K0FXNJF4AgKFcpzY7483DHC8AAA6i4gUAmIlWMwAADorQxEurGQAAB1HxAgDMFKGPBSTxAgCMFKlPJ6LVDACAg6h4AQBmitDFVSReAICZInSOl1YzAAAOouIFABjJZZ3c7Iw3EYkXAGAm5ngBAHAQc7wAAMAuKl4AgJloNQMA4KAITby0mgEAcBAVLwDATBFa8ZJ4AQBmYlUzAACwi4oXAGAk7lwFAICTInSON6hWc2FhoUaPHq24uDglJiZq6tSp2rdvX0fFBgCAo3bt2qXJkycrJSVFLpdLGzdu9Ht/zpw5crlcftuNN94Y1DmCSrzl5eXKyclRRUWFtm3bphMnTmjSpElqbm4O6qQAAJioublZw4YNU1FR0TmPufHGG3X48GHf9sILLwR1jqBazVu2bPF7XVxcrMTERFVVVWncuHFnHdPa2qrW1lbf64aGhqACBAB0Ti7ZnOM99b9fzTtut1tut/usY7Kzs5WdnX3ez3W73UpOTm53XLZWNdfX10uSEhISznlMYWGhPB6Pb0tNTbVzSgBAZ3H6ciI7m6TU1FS/PFRYWGgrrLKyMiUmJmrQoEG65557dPTo0aDGt3txldfr1cKFCzV27FgNGTLknMfl5+crLy/P97qhoYHkCwBwTE1NjeLj432vz1XtBuLGG2/UrbfeqrS0NB04cEA///nPlZ2drd27dys6Ojqgz2h34s3JydE777yj11577bzHna+kBwDgnEK0qjk+Pt4v8doxffp03z8PHTpU6enpGjBggMrKyjRhwoSAPqNdrebc3Fy98sor2rlzp/r27duejwAA4PysEGwd7NJLL1WvXr20f//+gMcEVfFalqUFCxaotLRUZWVlSktLCzpIAAAixUcffaSjR4+qT58+AY8JKvHm5OSopKREmzZtUlxcnGprayVJHo9HXbt2DS5aAADOIxx3rmpqavKrXg8ePKjq6molJCQoISFBS5Ys0bRp05ScnKwDBw7o/vvv18CBA5WVlRXwOYJqNa9YsUL19fXKzMxUnz59fNv69euD+RgAAL5eGFrNe/bs0YgRIzRixAhJUl5enkaMGKFFixYpOjpab7/9tr7zne/om9/8pubNm6eRI0fqz3/+c1BrmYJuNQMAEKkyMzPPm+u2bt1q+xzcqxkAYKYIvVcziRcAYKRIfToRz+MFAMBBVLwAADN96baP7R5vIBIvAMBMzPECAOAc5ngBAIBtVLwAADPRagYAwEE2W82mJl5azQAAOIiKFwBgJlrNAAA4KEITL61mAAAcRMULADAS1/ECAADbSLwAADiIVjMAwEwRuriKxAsAMFKkzvGSeAEA5jI0edrBHC8AAA6i4gUAmIk5XgAAnBOpc7y0mgEAcBAVLwDATLSaAQBwDq1mAABgGxUvAMBMtJoBAHBQhCZeWs0AADiIitdgX/y/Q+EO4YLwzXsOhTsEAB0gUhdXkXgBAGaK0FYziRcAYKYITbzM8QIA4CAqXgCAkZjjBQDASbSaAQCAXVS8AAAj0WoGAMBJtJoBAIBdVLwAADNFaMVL4gUAGMl1arMz3kS0mgEAcBAVLwDATLSaAQBwDpcTAQDgpAiteJnjBQDAQVS8AABzGVq12kHiBQAYKVLneGk1AwDgICpeAICZWFwFAIBzTrea7WzB2rVrlyZPnqyUlBS5XC5t3LjR733LsrRo0SL16dNHXbt21cSJE/X+++8HdQ4SLwAApzQ3N2vYsGEqKio66/u//e1v9dRTT2nlypX6y1/+om7duikrK0stLS0Bn4NWMwDATGFoNWdnZys7O/vsH2dZWrp0qX7xi19oypQpkqQ//OEPSkpK0saNGzV9+vSAzkHFCwAwUqhazQ0NDX5ba2tru+I5ePCgamtrNXHiRN8+j8ejMWPGaPfu3QF/DokXABDRUlNT5fF4fFthYWG7Pqe2tlaSlJSU5Lc/KSnJ914gaDUDAMwUolZzTU2N4uPjfbvdbretsOyi4gUAmMkKwSYpPj7eb2tv4k1OTpYk1dXV+e2vq6vzvRcIEi8AwEjhuJzofNLS0pScnKzt27f79jU0NOgvf/mLMjIyAv4cWs0AAJzS1NSk/fv3+14fPHhQ1dXVSkhIUL9+/bRw4UL96le/0mWXXaa0tDQ99NBDSklJ0dSpUwM+B4kXAGCmMFxOtGfPHl1//fW+13l5eZKk2bNnq7i4WPfff7+am5t111136dixY7r22mu1ZcsWxcbGBnwOEi8AwEguy5LLan/mbc/YzMxMWecZ53K59PDDD+vhhx9ud1zM8QIA4CAqXgCAmXhIgrRixQqlp6f7lmRnZGRo8+bNHRUbAKATM21Vc6gElXj79u2rRx99VFVVVdqzZ4/Gjx+vKVOm6N133+2o+AAAiChBtZonT57s9/qRRx7RihUrVFFRoSuvvPKsY1pbW/3ui9nQ0NCOMAEAnQ6tZn9tbW1at26dmpubz3vhcGFhod89MlNTU9t7SgBAJ0Kr+ZS9e/eqe/fucrvduvvuu1VaWqrBgwef8/j8/HzV19f7tpqaGlsBAwBwIQt6VfOgQYNUXV2t+vp6vfjii5o9e7bKy8vPmXzdbnfYb0gNALgARWirOejEGxMTo4EDB0qSRo4cqcrKSi1btkyrVq0KeXAAgM7LbrvY1Faz7et4vV5vux8qDADAOVHxnpyvzc7OVr9+/dTY2KiSkhKVlZVp69atHRUfAAARJajEe+TIEc2aNUuHDx+Wx+NRenq6tm7dqhtuuKGj4gMAdGKmtovtCCrxrl69uqPiAADAn2Wd3OyMNxAPSQAAwEE8JAEAYCRWNQMA4KQIXdVMqxkAAAdR8QIAjOTyntzsjDcRiRcAYCZazQAAwC4qXgCAkVjVDACAkyL0BhokXgCAkSK14mWOFwAAB1HxAgDMFKGrmkm8AAAj0WoGAAC2UfECAMzEqmYAAJxDqxkAANhGxQsAMBOrmgEAcA6tZgAAYBsVLwDATF7r5GZnvIFIvAAAMzHHCwCAc1yyOccbskhCizleAAAcRMULADATd64CAMA5XE4EAABso+IFAJiJVc0AADjHZVly2ZintTO2I9FqBgDAQVS8AAAzeU9tdsYbiMQLADASrWYAAGAbFS8AwEysagYAwEHcuQoAAOdw5yoAAGAbFS8AwEwR2mqm4gUAGMnltb8FY/HixXK5XH7b5ZdfHvLvRcULAMApV155pV599VXf6y5dQp8mSbwAADOFodXcpUsXJScnt/+cAaDVDAAwkxWCTVJDQ4Pf1traes5Tvv/++0pJSdGll16qmTNn6sMPPwz51yLxAgAiWmpqqjwej28rLCw863FjxoxRcXGxtmzZohUrVujgwYP61re+pcbGxpDGQ6sZAGCkUN2ruaamRvHx8b79brf7rMdnZ2f7/jk9PV1jxoxR//799e///u+aN29eu+P4KhIvAMBMIZrjjY+P90u8gerRo4e++c1vav/+/e2P4SxoNQMAcBZNTU06cOCA+vTpE9LPJfECAMxk6Z/P5G3PFmSx/NOf/lTl5eU6dOiQ3njjDd1yyy2Kjo7WjBkzQvN9TqHVDAAwktPP4/3oo480Y8YMHT16VL1799a1116riooK9e7du90xnA2JFwBgJks253iDO3zdunXtP1cQaDUDAOAgKl4AgJki9CEJJF4AgJm8klw2xxuIVjMAAA6i4gUAGMnpVc1OIfECAMwUoXO8tJoBAHAQFS8AwEwRWvGSeAEAZorQxEurGQAAB1HxAgDMFKHX8ZJ4AQBG4nIiAACcxBzvmR599FG5XC4tXLgwROEAABDZ2l3xVlZWatWqVUpPTw9lPAAAnOS1JJeNqtUbQRVvU1OTZs6cqd///vf6xje+EeqYAAD4Z6vZzmagdiXenJwc3XTTTZo4ceLXHtva2qqGhga/DQCAziroVvO6dev01ltvqbKyMqDjCwsLtWTJkqADAwB0dnar1gioeGtqavSTn/xEa9euVWxsbEBj8vPzVV9f79tqamraFSgAoJOJ0FZzUBVvVVWVjhw5oquuusq3r62tTbt27dLTTz+t1tZWRUdH+41xu91yu92hiRYAgAtcUIl3woQJ2rt3r9++uXPn6vLLL9cDDzxwRtIFAKDdvJZstYsNXdUcVOKNi4vTkCFD/PZ169ZNPXv2PGM/AAC2WN6Tm53xBuIhCQAAOMj2LSPLyspCEAYAAF8RobeM5F7NAAAzMccLAICDIrTiZY4XAAAHUfECAMxkyWbFG7JIQorECwAwE61mAABgFxUvAMBMXq8kGzfB8Jp5Aw0SLwDATLSaAQCAXVS8AAAzRWjFS+IFAJgpQu9cRasZAAAHUfECAIxkWV5ZNh7tZ2dsRyLxAgDMZFn22sXM8QIAEATL5hyvoYmXOV4AABxExQsAMJPXK7lszNMyxwsAQBBoNQMAALuoeAEARrK8Xlk2Ws1cTgQAQDBoNQMAALuoeAEAZvJakivyKl4SLwDATJYlyc7lRGYmXlrNAAA4iIoXAGAky2vJstFqtqh4AQAIguW1v7VDUVGRLrnkEsXGxmrMmDF68803Q/q1SLwAACNZXsv2Fqz169crLy9PBQUFeuuttzRs2DBlZWXpyJEjIfteJF4AAE554oknNH/+fM2dO1eDBw/WypUrdfHFF+uZZ54J2Tkcn+M93XP/QidsXRcNAHDeFzohyZn50y+sVlsPOjgda0NDg99+t9stt9t9xvHHjx9XVVWV8vPzffuioqI0ceJE7d69u91xfJXjibexsVGS9Jr+0+lTAwBCpLGxUR6Pp0M+OyYmRsnJyXqt1n6e6N69u1JTU/32FRQUaPHixWcc++mnn6qtrU1JSUl++5OSkvTee+/ZjuU0xxNvSkqKampqFBcXJ5fL5fTpz6qhoUGpqamqqalRfHx8uMMxEr9RYPidAsPvFBgTfyfLstTY2KiUlJQOO0dsbKwOHjyo48eP2/4sy7LOyDVnq3ad5HjijYqKUt++fZ0+bUDi4+ON+ZfbVPxGgeF3Cgy/U2BM+506qtL9stjYWMXGxnb4eb6sV69eio6OVl1dnd/+uro6JScnh+w8LK4CAEAnW9wjR47U9u3bffu8Xq+2b9+ujIyMkJ2HG2gAAHBKXl6eZs+erVGjRunqq6/W0qVL1dzcrLlz54bsHCRenez3FxQUhL3vbzJ+o8DwOwWG3ykw/E7Ou/322/XJJ59o0aJFqq2t1fDhw7Vly5YzFlzZ4bJMvacWAAARiDleAAAcROIFAMBBJF4AABxE4gUAwEEkXgAAHNTpE29HP3cxEuzatUuTJ09WSkqKXC6XNm7cGO6QjFNYWKjRo0crLi5OiYmJmjp1qvbt2xfusIyzYsUKpaen++7ElJGRoc2bN4c7LOM9+uijcrlcWrhwYbhDQQh06sTrxHMXI0Fzc7OGDRumoqKicIdirPLycuXk5KiiokLbtm3TiRMnNGnSJDU3N4c7NKP07dtXjz76qKqqqrRnzx6NHz9eU6ZM0bvvvhvu0IxVWVmpVatWKT09PdyhIEQ69XW8Y8aM0ejRo/X0009LOnlrsNTUVC1YsEAPPvhgmKMzk8vlUmlpqaZOnRruUIz2ySefKDExUeXl5Ro3bly4wzFaQkKCHnvsMc2bNy/coRinqalJV111lZYvX65f/epXGj58uJYuXRrusGBTp614Tz93ceLEib59HfHcRXRO9fX1kk4mFZxdW1ub1q1bp+bm5pDeBzeS5OTk6KabbvL77xQufJ32lpFOPXcRnY/X69XChQs1duxYDRkyJNzhGGfv3r3KyMhQS0uLunfvrtLSUg0ePDjcYRln3bp1euutt1RZWRnuUBBinTbxAh0lJydH77zzjl577bVwh2KkQYMGqbq6WvX19XrxxRc1e/ZslZeXk3y/pKamRj/5yU+0bds2xx+Nh47XaROvU89dROeSm5urV155Rbt27TL2udPhFhMTo4EDB0qSRo4cqcrKSi1btkyrVq0Kc2TmqKqq0pEjR3TVVVf59rW1tWnXrl16+umn1draqujo6DBGCDs67RyvU89dROdgWZZyc3NVWlqqHTt2KC0tLdwhXTC8Xq9aW1vDHYZRJkyYoL1796q6utq3jRo1SjNnzlR1dTVJ9wLXaSteyZnnLkaCpqYm7d+/3/f64MGDqq6uVkJCgvr16xfGyMyRk5OjkpISbdq0SXFxcaqtrZUkeTwede3aNczRmSM/P1/Z2dnq16+fGhsbVVJSorKyMm3dujXcoRklLi7ujPUB3bp1U8+ePVk3EAE6deJ14rmLkWDPnj26/vrrfa/z8vIkSbNnz1ZxcXGYojLLihUrJEmZmZl++9esWaM5c+Y4H5Chjhw5olmzZunw4cPyeDxKT0/X1q1bdcMNN4Q7NMAxnfo6XgAAnNZp53gBAAgHEi8AAA4i8QIA4CASLwAADiLxAgDgIBIvAAAOIvECAOAgEi8AAA4i8QIA4CASLwAADiLxAgDgoP8PMB4vIgcwpAYAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Now lets test if we are getting resonable results.\n", "#peaklet_decile = data_to_log_decile_log_area_aft_recall(peaklets_expaneded[3068176:], norm_factors)\n", "U_MAT = calculate_u_matrix(wcube)\n", "DENS_MAT = calculate_density_matrix(wcube, U_MAT, penguins_data_normalized[:146])\n", "display_density_matrix(DENS_MAT)" ] }, { "cell_type": "code", "execution_count": 35, "id": "f1cc9a35", "metadata": {}, "outputs": [ { "data": { "image/png": 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MbUskXgCAkWg1AwAA26h4AQBG8qqDvDbqQ28IYwklEi8AwEiWzTVeizVeAABajjVeAABgW6sS79KlS9WnTx/FxMRoxIgReu+990IdFwCgnfNaHWwPEwUd1dq1a5WXl6f8/Hzt3btXgwcPVmZmpo4fP94W8QEA2imfXPKpg40RIa3m559/XrNnz9bMmTM1YMAALV++XFdffbVeeeWVtogPAICIEtTmqtOnT6uiokLz58/3H+vQoYPGjRunXbt2XXROU1OTmpqa/K9ra2tbGSoAoD1hc5Wkzz//XF6vVz169Ag43qNHD1VVVV10TkFBgTwej3+kpKS0PloAQLvBGm8rzZ8/XzU1Nf5RWVnZ1pcEAMBYQbWau3XrpqioKFVXVwccr66uVlJS0kXnuN1uud3u1kcIAGiXmjdX2XhIQiS0mqOjozV06FBt27bNf8zn82nbtm1KT08PeXAAgPbLd/aWka0dPkNvVRH0navy8vKUnZ2tYcOG6dZbb9XixYvV0NCgmTNntkV8AABElKAT7w9+8AN99tlnWrBggaqqqjRkyBBt2rTpgg1XAADYYXeDlNeyQhhN6LTqXs25ubnKzc0NdSwAAPj5bLaLfYqgxAsAQFvzWi55bTxhyM7ctmTmyjMAABGKihcAYKRzu5NbP59WMwAALeazOshnY3OVz9DNVbSaAQBwEBUvAMBItJoBAHCQT/Z2JvtCF0pI0WoGAMBBVLwAACPZv4GGmbUliRcAYCT7t4w0M/GaGRUAABGKihcAYKRIfR4viRcAYKRIbTWTeAEARrL/PV4zE6+ZUQEAEKGoeAEARvJZLvns3EDD0McCkngBAEby2Ww1m/o9XjOjAgAgQlHxAgCMZP+xgGbWliReAICRvHLJa+O7uHbmtiUz/xwAACBCUfECAIxEqxkAAAd5Za9d7A1dKCFl5p8DAABEKCpeAICRaDUDAOCgSH1IgplRAQDaPevsYwFbO6wg14cLCgo0fPhwxcXFKTExUZMmTdLBgwcDzmlsbFROTo66du2qzp07a8qUKaqurg7qOiReAAAklZaWKicnR+Xl5dqyZYvOnDmj8ePHq6GhwX/OvHnz9Pbbb+vNN99UaWmp/vrXv+o73/lOUNeh1QwAMJLTreZNmzYFvC4sLFRiYqIqKio0atQo1dTU6OWXX1ZRUZHGjBkjSVq5cqVuvPFGlZeX67bbbmvRdah4AQBGOvd0IjtDkmprawNGU1NTi65fU1MjSUpISJAkVVRU6MyZMxo3bpz/nBtuuEG9e/fWrl27Wvx7kXgBABEtJSVFHo/HPwoKCr5xjs/n09y5czVy5EgNHDhQklRVVaXo6Gh16dIl4NwePXqoqqqqxfHQagYAGMlr87GA5+ZWVlYqPj7ef9ztdn/j3JycHB04cEA7d+5s9fUvhcQLADDS+e3i1s6XpPj4+IDE+01yc3O1ceNGlZWVqVevXv7jSUlJOn36tE6dOhVQ9VZXVyspKanF70+rGQAASZZlKTc3V8XFxdq+fbtSU1MDfj506FBdddVV2rZtm//YwYMH9Ze//EXp6ektvg4VLwDASD51kM9GfRjs3JycHBUVFWnDhg2Ki4vzr9t6PB7FxsbK4/Fo1qxZysvLU0JCguLj4zVnzhylp6e3eEezROIFABjKa7nktdFqDnbusmXLJEkZGRkBx1euXKkZM2ZIkn7zm9+oQ4cOmjJlipqampSZmamXXnopqOuQeAEAUHOr+ZvExMRo6dKlWrp0aauvQ+IFABgpVJurTEPiBQAYybL5dCLL0IckkHgBAEbyyiVvkA86+Pp8E5n55wAAABGKihcAYCSfZW+d1vfNe6XCgsQLADCSz+Yar525bcnMqAAAiFBUvAAAI/nkks/GBik7c9sSiRcAYCSn71zlFFrNAAA4iIoXAGCkSN1cReIFABjJJ5u3jDR0jdfMPwcAAIhQVLwAACNZNnc1W4ZWvCReAICReDoRAAAOitTNVWZGBQBAhKLiBQAYiVYzAAAOitRbRtJqBgDAQVS8AAAj0WoGAMBBkZp4aTUDAOAgKl4AgJEiteIl8QIAjBSpiZdWMwAADgo68ZaVlWnChAlKTk6Wy+XS+vXr2yAsAEB7Z+lv3+VtzbDC/QtcQtCJt6GhQYMHD9bSpUvbIh4AACT9rdVsZ5go6DXerKwsZWVltUUsAAD4Reoab5tvrmpqalJTU5P/dW1tbVtfEgAAY7X55qqCggJ5PB7/SElJaetLAgAiQKS2mts88c6fP181NTX+UVlZ2daXBABEgEhNvG3eana73XK73W19GQAArgjcQAMAYCTLcsmyUbXamduWgk689fX1OnTokP/14cOHtW/fPiUkJKh3794hDQ4A0H5F6vN4g068e/bs0ejRo/2v8/LyJEnZ2dkqLCwMWWAAAESioBNvRkaGLMvU+4EAACIF3+MFAMBBkbrGy0MSAABwEBUvAMBItJoBAHBQpLaaSbwAACNZNiteUxMva7wAADiIihcAYCRLkp1vr5r6xVcSLwDASD655IrAO1fRagYAwEFUvAAAI7GrGQAAB/ksl1wR+D1eWs0AADiIihcAYCTLsrmr2dBtzSReAICRInWNl1YzAAAOouIFABgpUiteEi8AwEiRuquZxAsAMFKkbq5ijRcAAAdR8QIAjNRc8dpZ4w1hMCFE4gUAGClSN1fRagYAwEFUvAAAI1my90xdQzvNJF4AgJloNQMAANuoeAEAZorQXjMVLwDATGdbza0dakWruaysTBMmTFBycrJcLpfWr18f8PMZM2bI5XIFjLvuuiuoa5B4AQBGOnfnKjsjWA0NDRo8eLCWLl16yXPuuusuHTt2zD/eeOONoK5BqxkAgLOysrKUlZV12XPcbreSkpJafQ0qXgCAkey0mc/fEV1bWxswmpqabMVVUlKixMRE9e/fXz/5yU904sSJoOaTeAEAZjq3TmtnSEpJSZHH4/GPgoKCVod011136bXXXtO2bdv07LPPqrS0VFlZWfJ6vS1+D1rNAICIVllZqfj4eP9rt9vd6veaOnWq/58HDRqktLQ09e3bVyUlJRo7dmyL3oOKFwBgpFBtroqPjw8YdhLv11133XXq1q2bDh061OI5VLwAADNdAd/jPXr0qE6cOKGePXu2eA6JFwCAs+rr6wOq18OHD2vfvn1KSEhQQkKCFi1apClTpigpKUmffPKJHn30UfXr10+ZmZktvgaJFwBgpHDcq3nPnj0aPXq0/3VeXp4kKTs7W8uWLdP777+vV199VadOnVJycrLGjx+vJ598Mqj2NYkXAGAuh2/7mJGRIesyd97YvHmz7WuwuQoAAAdR8QIAjBSpjwUk8QIAzHQF7GpuDRIvAMBQrrPDznzzsMYLAICDqHgBAGai1QwAgIMiNPHSagYAwEFUvAAAM533aL9WzzcQiRcAYKTznzDU2vkmotUMAICDqHgBAGaK0M1VJF4AgJkidI2XVjMAAA6i4gUAGMllNQ87801E4gUAmIk1XgAAHMQaLwAAsIuKFwBgJlrNAAA4KEITL61mAAAcRMULADBThFa8JF4AgJnY1QwAAOyi4gUAGIk7VwEA4KQIXeMNqtVcUFCg4cOHKy4uTomJiZo0aZIOHjzYVrEBABBxgkq8paWlysnJUXl5ubZs2aIzZ85o/PjxamhoaKv4AACIKEG1mjdt2hTwurCwUImJiaqoqNCoUaMuOqepqUlNTU3+17W1ta0IEwDQ3rhkc403ZJGElq1dzTU1NZKkhISES55TUFAgj8fjHykpKXYuCQBoL859ncjOMFCrE6/P59PcuXM1cuRIDRw48JLnzZ8/XzU1Nf5RWVnZ2ksCAHDFa/Wu5pycHB04cEA7d+687Hlut1tut7u1lwEAtFcRuqu5VYk3NzdXGzduVFlZmXr16hXqmAAAIPFKkmVZmjNnjoqLi1VSUqLU1NS2igsAgIgUVOLNyclRUVGRNmzYoLi4OFVVVUmSPB6PYmNj2yRAAED7FKl3rgpqc9WyZctUU1OjjIwM9ezZ0z/Wrl3bVvEBANorKwTDQEG3mgEAQOtxr2YAgJnYXAUAgHNY4wUAALZR8QIAzGT3to+G3jKSxAsAMBNrvAAAOIc1XgAAYBsVLwDATLSaAQBwkM1Ws6mJl1YzAAAOouIFAJiJVjMAAA6K0MRLqxkAAAdR8QIAjMT3eAEAgG0kXgAAHESrGQBgpgjdXEXiBQAYKVLXeEm8AABzGZo87WCNFwAAB1HxAgDMxBovAADOidQ1XlrNAAA4iIoXAGAmWs0AADiHVjMAALCNxAsAMJMVghGksrIyTZgwQcnJyXK5XFq/fn1gSJalBQsWqGfPnoqNjdW4ceP08ccfB3UNEi8AwExhSLwNDQ0aPHiwli5detGf/+pXv9ILL7yg5cuX649//KM6deqkzMxMNTY2tvgarPECACJabW1twGu32y23233Rc7OyspSVlXXRn1mWpcWLF+sXv/iFJk6cKEl67bXX1KNHD61fv15Tp05tUTxhS7xR/fsqKurivzianRrcNdwhXBG6/OeH4Q7hiuD92n98ANOFanNVSkpKwPH8/HwtXLgw6Pc7fPiwqqqqNG7cOP8xj8ejESNGaNeuXeYnXgAALitEXyeqrKxUfHy8//Clqt1vUlVVJUnq0aNHwPEePXr4f9YSJF4AgJlClHjj4+MDEm+4sbkKAIAWSEpKkiRVV1cHHK+urvb/rCVIvAAAI51b47UzQik1NVVJSUnatm2b/1htba3++Mc/Kj09vcXvQ6sZAGCmMNwysr6+XocOHfK/Pnz4sPbt26eEhAT17t1bc+fO1VNPPaXrr79eqampevzxx5WcnKxJkya1+BokXgAAztqzZ49Gjx7tf52XlydJys7OVmFhoR599FE1NDTowQcf1KlTp3T77bdr06ZNiomJafE1SLwAACOF417NGRkZsqxLT3S5XHriiSf0xBNPtDouEi8AwEwR+nQiNlcBAOAgKl4AgJkitOIl8QIAjOQ6O+zMNxGtZgAAHETFCwAwE61mAACcE46vEzmBxAsAMFOEVrys8QIA4CAqXgCAuQytWu0g8QIAjBSpa7y0mgEAcBAVLwDATBG6uYrECwAwEq1mAABgGxUvAMBMtJoBAHAOrWYAAGAbFS8AwEy0mgEAcBCJFwAA57DGCwAAbKPiBQCYiVYzAADOcVmWXFbrs6eduW2JVjMAAA6i4gUAmClCW81BVbzLli1TWlqa4uPjFR8fr/T0dL3zzjttFRsAoB07t6vZzjBRUIm3V69eeuaZZ1RRUaE9e/ZozJgxmjhxoj744IO2ig8AgIgSVKt5woQJAa+ffvppLVu2TOXl5brpppsuOqepqUlNTU3+17W1ta0IEwDQ7tBqDuT1erVmzRo1NDQoPT39kucVFBTI4/H4R0pKSmsvCQBoR2g1n7V//3517txZbrdbDz30kIqLizVgwIBLnj9//nzV1NT4R2Vlpa2AAQC4kgW9q7l///7at2+fampqtG7dOmVnZ6u0tPSSydftdsvtdtsOFADQzkRoqznoxBsdHa1+/fpJkoYOHardu3dryZIlWrFiRciDAwC0X5F6r2bb3+P1+XwBm6cAAAgJKt7m9dqsrCz17t1bdXV1KioqUklJiTZv3txW8QEAEFGCSrzHjx/XAw88oGPHjsnj8SgtLU2bN2/WnXfe2VbxAQDaMVPbxXYElXhffvnltooDAIBAltU87Mw3EA9JAADAQTwkAQBgJHY1AwDgpAjd1UyrGQAAB1HxAgCM5PI1DzvzTUTiBQCYiVYzAACwi4oXAGAkdjUDAOCkCL2BBokXAGCkSK14WeMFAMBBVLwAADNF6K5mEi8AwEi0mgEAgG1UvAAAM7GrGQAA59BqBgAAtlHxAgDMxK5mAACcQ6sZAADYRsULADCTz2oeduYbiMQLADATa7wAADjHJZtrvCGLJLRY4wUAwEFUvAAAM3HnKgAAnMPXiQAAiGALFy6Uy+UKGDfccEPIr0PFCwAwUxh2Nd90003aunWr/3XHjqFPkyReAICRXJYll4112nNza2trA4673W653e6LzunYsaOSkpJafc2WCFvifbF4leLi6HRfzqidueEO4YrwwIJPwh3CFWF47OFwh3BFGOqODncIRqut8+mab4U7iuCkpKQEvM7Pz9fChQsveu7HH3+s5ORkxcTEKD09XQUFBerdu3dI46HiBQCYyXd22JkvqbKyUvHx8f7Dl6p2R4wYocLCQvXv31/Hjh3TokWL9O1vf1sHDhxQXFycjUACkXgBAEYKVas5Pj4+IPFeSlZWlv+f09LSNGLECF177bX6t3/7N82aNavVcXwdvV4AAC6iS5cu+ta3vqVDhw6F9H1JvAAAM1khGDbU19frk08+Uc+ePe290deQeAEAZjp35yo7IwiPPPKISktLdeTIEb377ruaPHmyoqKiNG3atJD+WqzxAgCM5PSdq44ePapp06bpxIkT6t69u26//XaVl5ere/furQ/iIki8AABIWrNmjSPXIfECAMzEQxIAAHCOy9c87Mw3EZurAABwEBUvAMBMtJoBAHBQGJ5O5ARazQAAOIiKFwBgpFDdq9k0JF4AgJkidI2XVjMAAA6i4gUAmMmSvefxmlnwkngBAGZijRcAACdZsrnGG7JIQoo1XgAAHETFCwAwU4TuaibxAgDM5JPksjnfQLSaAQBwEBUvAMBI7GoGAMBJEbrGS6sZAAAHUfECAMwUoRUviRcAYKYITby0mgEAcBAVLwDATBH6PV4SLwDASHydCAAAJ7HGe6FnnnlGLpdLc+fODVE4AABEtlZXvLt379aKFSuUlpYWyngAAGjmsySXjarVF0EVb319vaZPn67f/e53uuaaa0IdEwAAf2s12xkGalXizcnJ0T333KNx48Z947lNTU2qra0NGAAAtFdBt5rXrFmjvXv3avfu3S06v6CgQIsWLQo6MABAe2e3ao2AireyslI/+9nPtHr1asXExLRozvz581VTU+MflZWVrQoUANDORGirOaiKt6KiQsePH9ctt9ziP+b1elVWVqYXX3xRTU1NioqKCpjjdrvldrtDEy0AAFe4oBLv2LFjtX///oBjM2fO1A033KCf//znFyRdAABazWfJVrvY0F3NQSXeuLg4DRw4MOBYp06d1LVr1wuOAwBgi+VrHnbmG4iHJAAA4CDbt4wsKSkJQRgAAHxNhN4ykns1AwDMxBovAAAOitCKlzVeAAAcRMULADCTJZsVb8giCSkSLwDATLSaAQCAXVS8AAAz+XySbNwEw2fmDTRIvAAAM9FqBgAAdlHxAgDMFKEVL4kXAGCmCL1zFa1mAAAcRMULADCSZflk2Xi0n525bYnECwAwk2XZaxezxgsAQBAsm2u8hiZe1ngBAHAQFS8AwEw+n+SysU7LGi8AAEGg1QwAAOyi4gUAGMny+WTZaDXzdSIAAIJBqxkAANhFxQsAMJPPklyRV/GSeAEAZrIsSXa+TmRm4qXVDACAg6h4AQBGsnyWLButZouKFwCAIFg++6MVli5dqj59+igmJkYjRozQe++9F9Jfi8QLADCS5bNsj2CtXbtWeXl5ys/P1969ezV48GBlZmbq+PHjIfu9SLwAAJz1/PPPa/bs2Zo5c6YGDBig5cuX6+qrr9Yrr7wSsms4vsZ7rudeX2/mHUVM4vuiMdwhXBG+rP8q3CFcEeq/4t+5lqg9zed0ObVn/9vtxPrpV1aTrQcdfKUzkqTa2tqA4263W263+4LzT58+rYqKCs2fP99/rEOHDho3bpx27drV6ji+zvHEW1dXJ0kafuvnTl/6CvRUuAO4IjwS7gCAdqiurk4ej6dN3js6OlpJSUnaWfWftt+rc+fOSklJCTiWn5+vhQsXXnDu559/Lq/Xqx49egQc79Gjhz766CPbsZzjeOJNTk5WZWWl4uLi5HK5nL78RdXW1iolJUWVlZWKj48PdzhG4jNqGT6nluFzahkTPyfLslRXV6fk5OQ2u0ZMTIwOHz6s06dP234vy7IuyDUXq3ad5Hji7dChg3r16uX0ZVskPj7emP9zm4rPqGX4nFqGz6llTPuc2qrSPV9MTIxiYmLa/Drn69atm6KiolRdXR1wvLq6WklJSSG7DpurAABQc4t76NCh2rZtm/+Yz+fTtm3blJ6eHrLrcAMNAADOysvLU3Z2toYNG6Zbb71VixcvVkNDg2bOnBmya5B41dzvz8/PD3vf32R8Ri3D59QyfE4tw+fkvB/84Af67LPPtGDBAlVVVWnIkCHatGnTBRuu7HBZpt5TCwCACMQaLwAADiLxAgDgIBIvAAAOIvECAOAgEi8AAA5q94m3rZ+7GAnKyso0YcIEJScny+Vyaf369eEOyTgFBQUaPny44uLilJiYqEmTJungwYPhDss4y5YtU1pamv9OTOnp6XrnnXfCHZbxnnnmGblcLs2dOzfcoSAE2nXideK5i5GgoaFBgwcP1tKlS8MdirFKS0uVk5Oj8vJybdmyRWfOnNH48ePV0NAQ7tCM0qtXLz3zzDOqqKjQnj17NGbMGE2cOFEffPBBuEMz1u7du7VixQqlpaWFOxSESLv+Hu+IESM0fPhwvfjii5Kabw2WkpKiOXPm6LHHHgtzdGZyuVwqLi7WpEmTwh2K0T777DMlJiaqtLRUo0aNCnc4RktISNCvf/1rzZo1K9yhGKe+vl633HKLXnrpJT311FMaMmSIFi9eHO6wYFO7rXjPPXdx3Lhx/mNt8dxFtE81NTWSmpMKLs7r9WrNmjVqaGgI6X1wI0lOTo7uueeegP9O4crXbm8Z6dRzF9H++Hw+zZ07VyNHjtTAgQPDHY5x9u/fr/T0dDU2Nqpz584qLi7WgAEDwh2WcdasWaO9e/dq9+7d4Q4FIdZuEy/QVnJycnTgwAHt3Lkz3KEYqX///tq3b59qamq0bt06ZWdnq7S0lOR7nsrKSv3sZz/Tli1bHH80Htpeu028Tj13Ee1Lbm6uNm7cqLKyMmOfOx1u0dHR6tevnyRp6NCh2r17t5YsWaIVK1aEOTJzVFRU6Pjx47rlllv8x7xer8rKyvTiiy+qqalJUVFRYYwQdrTbNV6nnruI9sGyLOXm5qq4uFjbt29XampquEO6Yvh8PjU1NYU7DKOMHTtW+/fv1759+/xj2LBhmj59uvbt20fSvcK124pXcua5i5Ggvr5ehw4d8r8+fPiw9u3bp4SEBPXu3TuMkZkjJydHRUVF2rBhg+Li4lRVVSVJ8ng8io2NDXN05pg/f76ysrLUu3dv1dXVqaioSCUlJdq8eXO4QzNKXFzcBfsDOnXqpK5du7JvIAK068TrxHMXI8GePXs0evRo/+u8vDxJUnZ2tgoLC8MUlVmWLVsmScrIyAg4vnLlSs2YMcP5gAx1/PhxPfDAAzp27Jg8Ho/S0tK0efNm3XnnneEODXBMu/4eLwAATmu3a7wAAIQDiRcAAAeReAEAcBCJFwAAB5F4AQBwEIkXAAAHkXgBAHAQiRcAAAeReAEAcBCJFwAAB5F4AQBw0P8DtYApvYk0vrYAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U_MAT = calculate_u_matrix(wcube)\n", "DENS_MAT = calculate_density_matrix(wcube, U_MAT, penguins_data_normalized[146:146+119])\n", "display_density_matrix(DENS_MAT)" ] }, { "cell_type": "code", "execution_count": 36, "id": "08c00951", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U_MAT = calculate_u_matrix(wcube)\n", "DENS_MAT = calculate_density_matrix(wcube, U_MAT, penguins_data_normalized[146+119:])\n", "display_density_matrix(DENS_MAT)" ] }, { "cell_type": "code", "execution_count": 37, "id": "f7e37cb7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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