{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 06 - Unbalanced Datasets\n", "\n", "by [Alejandro Correa Bahnsen](http://www.albahnsen.com/) & [Iván Torroledo](http://www.ivantorroledo.com/)\n", "\n", "version 1.3, June 2018\n", "\n", "## Part of the class [Applied Deep Learning](https://github.com/albahnsen/AppliedDeepLearningClass)\n", "\n", "\n", "\n", "This notebook is licensed under a [Creative Commons Attribution-ShareAlike 3.0 Unported License](http://creativecommons.org/licenses/by-sa/3.0/deed.en_US). Special thanks goes to [Kevin Markham](https://github.com/justmarkham)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Background\n", "\n", "Unbalanced classification problems cause problems to many learning algorithms. These problems are characterized by the uneven proportion of cases that are available for each class of the problem.\n", "\n", "Most classification algorithms will only perform optimally when the number of samples of each class is roughly the same. Highly skewed datasets, where the minority heavily outnumbered by one or more classes, haven proven to be a challenge while at the same time becoming more and more common.\n", "\n", "One way of addresing this issue is by resampling the dataset as to offset this imbalance with the hope of arriving and a more robust and fair decision boundary than you would otherwise.\n", "\n", "Resampling techniques are divided in two categories: \n", "* Under-sampling the majority class(es)\n", "* Over-sampling the minority class" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from sklearn.datasets import make_classification\n", "from sklearn.decomposition import PCA\n", "plt.style.use('ggplot')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# Generate some data\n", "X, y = make_classification(n_classes=2, class_sep=2, weights=[0.9, 0.1],\n", " n_informative=3, n_redundant=1, flip_y=0,\n", " n_features=20, n_clusters_per_class=1,\n", " n_samples=1000, random_state=10)\n", "\n", "# Instanciate a PCA object for the sake of easy visualisation\n", "pca = PCA(n_components = 2)\n", "\n", "# Fit and transform x to visualise inside a 2D feature space\n", "x_vis = pca.fit_transform(X)\n", "\n", "# Plot the original data\n", "\n", "def plot_two_classes(X, y, subplot=False, size=(10, 10)):\n", " # Plot the two classes\n", " if subplot == False:\n", " fig, subplot = plt.subplots(nrows=1, ncols=1, figsize=size)\n", " \n", " subplot.scatter(X[y==0, 0], X[y==0, 1], label=\"Class #0\", \n", " alpha=0.5, s=70)\n", " subplot.scatter(X[y==1, 0], X[y==1, 1], label=\"Class #1\", \n", " alpha=0.5, s=70)\n", " subplot.legend()\n", " return subplot\n", "\n", "plot_two_classes(x_vis, y)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.1" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Part 1: Under-sampling\n", "\n", "## Random - Under-sampling\n", "Randomly select a percentage of the negative class such that the resulting dataset is balanced" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1000\n" ] } ], "source": [ "n_samples = y.shape[0]\n", "print(n_samples)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "900" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_samples_0 = (y == 0).sum()\n", "n_samples_0" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "100" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_samples_1 = (y == 1).sum()\n", "n_samples_1" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.1" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_samples_1 / n_samples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How many negatives cases should I select if I want a new dataset with 50% of positives?\n", "\n", "0.5 = n_samples_1 / (n_samples_1 + n_samples_0_new)\n", "\n", "(n_samples_1 + n_samples_0_new) = n_samples_1 / 0.5" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "100.0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_samples_0_new = n_samples_1 / 0.5 - n_samples_1\n", "n_samples_0_new" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.1111111111111111" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_samples_0_new_per = n_samples_0_new / n_samples_0\n", "n_samples_0_new_per" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create a filter to select `n_samples_0_new_per` from the negative class" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Select all negatives\n", "filter_ = y == 0\n", "\n", "# Random sample\n", "np.random.seed(42)\n", "rand_1 = np.random.binomial(n=1, p=n_samples_0_new_per, size=n_samples)\n", "\n", "# Combine\n", "filter_ = filter_ & rand_1" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "108" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "filter_.sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Also select all the positives" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "filter_ = filter_ | (y == 1)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "filter_ = filter_.astype(bool)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "plot" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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dB0RERFQ+hipqODE+AdEXdAJUCmkYEH0DEOMTDRoZERFR6dinihpOKCpw+Ciw1acKMQPw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\n6gUwX8/mc5XNQEyWqcA0aAf17nWtalsRl5v1tvliRmpvW65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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_two_classes(x_vis[filter_], y[filter_])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convert into a function" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def UnderSampling(X, y, target_percentage=0.5, seed=None):\n", " # Assuming minority class is the positive\n", " n_samples = y.shape[0]\n", " n_samples_0 = (y == 0).sum()\n", " n_samples_1 = (y == 1).sum()\n", "\n", " n_samples_0_new = n_samples_1 / target_percentage - n_samples_1\n", " n_samples_0_new_per = n_samples_0_new / n_samples_0\n", "\n", " filter_ = y == 0\n", "\n", " np.random.seed(seed)\n", " rand_1 = np.random.binomial(n=1, p=n_samples_0_new_per, size=n_samples)\n", " \n", " filter_ = filter_ & rand_1\n", " filter_ = filter_ | (y == 1)\n", " filter_ = filter_.astype(bool)\n", " \n", " return X[filter_], y[filter_]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.1\n", "y.shape = 1000 y.mean() = 0.1\n" ] }, { "data": { "image/png": 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+5Vd+hXvvvXfVm1suFuvL5cBB+O4LMDFSse6CgODKRWjrqjvVTIcBXDwHly+I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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.2\n", "y.shape = 510 y.mean() = 0.196078431373\n" ] }, { "data": { "image/png": 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3ry9OdY2BuTnIpAn//LPSgJiakH+VskxvTE+KgQFIKms70ngozkW+ffVSAiOR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.3\n", "y.shape = 343 y.mean() = 0.291545189504\n" ] }, { "data": { "image/png": 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Jzoy6zxBlSBrrOJAGHC2RnDLARG6TA4u4WQPFokxyKCXEl85Ab3/tkuk03rlT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\nOMeRxe4vTrpBZwxCKvqMkGEWEXzGVwyZCYGBflqpKQpteZ3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.4\n", "y.shape = 249 y.mean() = 0.401606425703\n" ] }, { "data": { "image/png": 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4tFfsnETlKFul/q5Z6D2+WhaYqVEa7hMth6M9NxmojgtCESzk1e8qI8dCHjpC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\nWEKphO+XZ+buPQCIcgKls0cJ3uhQacqZGigk6l6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.5\n", "y.shape = 199 y.mean() = 0.502512562814\n" ] }, { "data": { "image/png": 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yZ3uWMmd+vRGHrrDNYHug6NxtfCFNNGASFK5vBA+zYyVgQcY3XRphx8LX4Fgq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\nitywx1xzddoIYCC4cudGSSb6Va+daT9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for target_percentage in [0.1, 0.2, 0.3, 0.4, 0.5]:\n", " X_u, y_u = UnderSampling(x_vis, y, target_percentage, 1)\n", " print('Target percentage', target_percentage)\n", " print('y.shape = ',y_u.shape[0], 'y.mean() = ', y_u.mean())\n", " plot_two_classes(X_u, y_u, size=(5, 5))\n", " plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing Under-Sampling with other models\n", "\n", "**Advantages of Under-Sampling:**\n", "\n", "- Fast to estimate\n", "- Easy to understand\n", "\n", "**Disadvantages of Under-Sampling:**\n", "\n", "- Information of the negative class is lost\n", "- Variance due to randomnes \n", "- Need to define the target percentage" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## TomekLinks\n", "\n", "Identify and remove majority samples that form a Tomek link with minority samples.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Find the nearest neighbour of every point" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.neighbors import NearestNeighbors\n", "\n", "nn = NearestNeighbors(n_neighbors=2)\n", "nn.fit(x_vis)\n", "nns = nn.kneighbors(x_vis, return_distance=False)[:, 1]" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([209, 633, 161, 610, 800, 268, 827, 606, 211, 940], dtype=int64)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nns[0:10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Find if tomek. Use the target vector and the first neighbour of every sample\n", "point and looks for Tomek pairs. Returning a boolean vector with True\n", "for majority Tomek links." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Initialize the boolean result as false, and also a counter\n", "links = np.zeros(len(y), dtype=bool)\n", "\n", "# Loop through each sample of the majority class then we\n", "# look at its first neighbour. If its closest neighbour also has the\n", "# current sample as its closest neighbour, the two form a Tomek link.\n", "for ind, ele in enumerate(y):\n", "\n", " if ele == 1 | links[ind] == True: # Keep all from the minority class\n", " continue\n", "\n", " if y[nns[ind]] == 1:\n", "\n", " # If they form a tomek link, put a True marker on this\n", " # sample, and increase counter by one.\n", " if nns[nns[ind]] == ind:\n", " links[ind] = True\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "links.sum()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "filter_ = np.logical_not(links)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y.shape = 997 y.mean() = 0.100300902708\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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imonHofJ9T5OwWJ0QQhoKiqoyUw6jzqzr1cMsuCLt/wgvyEy+POSze1iS9vO3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saZDFN+cTGw1Od6WHY81LouRtMc6x2a58c1hkJGx3TOeC4J5TtFknCeIMH2sGNSxTnH1772NfzJ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\nqIP0kY3Tvz8/TzBn2th3MqGwzOYtMjff6k1vWivNicjcfKv3+jRTsmUXf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print('y.shape = ',y[filter_].shape[0], 'y.mean() = ', y[filter_].mean())\n", "plot_two_classes(x_vis[filter_], y[filter_])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing TomekLinks with other models\n", "\n", "**Advantages of TomekLinks:**\n", "\n", "- Creates a linearly-separable space\n", "\n", "**Disadvantages of TomekLinks:**\n", "\n", "- Still a highly imbalance dataset" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Condensed Nearest Neighbour" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The goal is to eliminate examples from\n", "the majority class that are much further\n", "away from the border" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Import the K-NN classifier\n", "from sklearn.neighbors import KNeighborsClassifier" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Number of samples to extract in order to build the set S.\n", "n_seeds_S = 51\n", "\n", "# Size of the neighbourhood to consider to compute the\n", "# average distance to the minority point samples.\n", "size_ngh = 100\n", "\n", "# Randomly get one sample from the majority class\n", "np.random.seed(42)\n", "maj_sample = np.random.choice(x_vis[y == 0].shape[0], n_seeds_S)\n", "maj_sample = x_vis[y == 0][maj_sample]" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Create the set C\n", "# Select all positive and the randomly selected negatives\n", "C_x = np.append(x_vis[y == 1], maj_sample, axis=0)\n", "C_y = np.append(y[y == 1], [0] * n_seeds_S)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Create the set S\n", "S_x = x_vis[y == 0]\n", "S_y = y[y == 0]" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "knn = KNeighborsClassifier(n_neighbors=size_ngh)\n", "\n", "# Fit C into the knn\n", "knn.fit(C_x, C_y)\n", "\n", "# Classify on S\n", "pred_S_y = knn.predict(S_x)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Find the misclassified S_y\n", "idx_tmp = np.nonzero(y == 0)[0][np.nonzero(pred_S_y != S_y)]" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true }, "outputs": [], "source": [ "filter_ = np.nonzero(y == 1)[0]\n", "filter_ = np.concatenate((filter_, idx_tmp), axis=0)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y.shape = 175 y.mean() = 0.571428571429\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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BWwLnZ+OYWDZhSQlVETnd2n3q+vVfxT4vT+aRFzzJVPX392NqasqLW1Er29sH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\nhoiIaLOwUL2R7O2D/P/bu9fYuOozj+O//8x4xnb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print('y.shape = ',y[filter_].shape[0], 'y.mean() = ', y[filter_].mean())\n", "plot_two_classes(x_vis[filter_], y[filter_])" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Import the K-NN classifier\n", "from sklearn.neighbors import KNeighborsClassifier\n", "def CondensedNearestNeighbor(X, y, n_seeds_S=1, size_ngh=1, seed=None):\n", " # Randomly get one sample from the majority class\n", " np.random.seed(seed)\n", " maj_sample = np.random.choice(X[y == 0].shape[0], n_seeds_S)\n", " maj_sample = X[y == 0][maj_sample]\n", " # Create the set C\n", " # Select all positive and the randomly selected negatives\n", " C_x = np.append(X[y == 1], maj_sample, axis=0)\n", " C_y = np.append(y[y == 1], [0] * n_seeds_S)\n", " # Create the set S\n", " S_x = X[y == 0]\n", " S_y = y[y == 0]\n", " knn = KNeighborsClassifier(n_neighbors=size_ngh)\n", "\n", " # Fit C into the knn\n", " knn.fit(C_x, C_y)\n", "\n", " # Classify on S\n", " pred_S_y = knn.predict(S_x)\n", " # Find the misclassified S_y\n", " idx_tmp = np.nonzero(y == 0)[0][np.nonzero(pred_S_y != S_y)]\n", "\n", " filter_ = np.nonzero(y == 1)[0]\n", " filter_ = np.concatenate((filter_, idx_tmp), axis=0)\n", "\n", " return X[filter_], y[filter_]" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n_seeds_S 1 size_ngh 1\n", "y.shape = 386 y.mean() = 0.25906735751295334\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n_seeds_S 100 size_ngh 100\n", "y.shape = 100 y.mean() = 1.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n_seeds_S 50 size_ngh 50\n", "y.shape = 112 y.mean() = 0.8928571428571429\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n_seeds_S 100 size_ngh 50\n", "y.shape = 102 y.mean() = 0.9803921568627451\n" ] }, { "data": { "image/png": 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wHUvnnl9rzUYpULE20sUWXaNTZ2mLlR+bjqVzMRe2FtfSJd4xGOLRscWi3exE2uWCzVKgohhJkKIrtGKWtjAhD/TFGAk5VSfkoGWSLDifxnZcslmz2HtV2yXesyXC6FyCycXlXXkpUFGetKtFV2j2MQL1PNelWPmx/NbjYHhlO6baLnG2QMXekR4CPhPX9Q4G2zvSI0t8ypAWpOgKzZ6lreeymWKtu8Gwxehcir6gyVCvf9n1a+0SS4GK6kkLUnSFZs/SVpKQK1Wsdbd1Y5Bdm0KcszFIfuNOusTNtS5akK5j4z5xCJ47hptMYASCcO5OjPP3YJi+Vocn6qDYOF7h6/VU73NdirXuik06Sc3G5ur6BOk6Nu4D9+JOT2IEgxiGAakk7uHfwtgovO5GSZJdoNmztM1IyNIlbr2u72K7TxzCnZ7CCAaXPW8Eg7jTp7yWpeh4zT5GQM51WR+6vgXJc8cwgoGiLxnBIDx3DHbvbXJQot7qcYxANesoZdnM+tD1CdJNJrxudSnJRPOCEQ1VS5e02nWUxRJydtmMjBF2j65PkEYgCKlk6QsCwdKviXVjLct2ChNyNBplcnKyaTGLxuv6MUjO3YmbKJ4g3UQCzt3Z5IBEO6rnsh3RPbq/BXn+HhgbxZ0+tWyixk0kMAY3e6+Lda/ey3ayOnV/uPDUJUEqpb4GvAGY0FpfVOR1A7gD+ENgCXif1vqRetx7NYbpg9fdCJl1kCQTEAhi7Nwt6yBFTiOW7VQ7rinJtP3UqwX5deDzwDdKvH4jsCvz55XAFzJ/N4Vh+jB275XZalFSI9ZRVjOuWWkylSTaXHUZg9RaPwhMl7nkTcA3tNau1vpXQL9SaqQe9xaiHhqxjrKacc1Kkmk9C2SIyjRrkuZs4Hje49HMc0K0hWL7oS3TYEPQJJZ0+NahSe45PMXBscWKE1E1+8MrSabNrlgkmjdJU+w7v+KnTCm1H9gPoLUmGo02Oq5VWZbVFnFA+8TSLnFA/WPZMgTX4nV5v/PoGBMLCUJBk+xWgydPO8zYKd568ciKLm1hLAN9sRXjmo7rMjYbZ2opheO63Pf7GOdv6QV/kEiwdBfZBcbiJv19xdd4RjKvX5u5fzd/j2phWdWlvGYlyFHgnLzHW4EThRdprQ8ABzIP3XZYU9ZOa9vaJZZa46jnOFqjviYHxxZ5/pQ3JrmUOvO847r8/8/M8rvRKTaFrWWxbxnavCyWkZCzbFzTcV2OTsWJpbykOdwb4PT8Aj+fmWd0LsH2gSBmian0gM9kZpWZ9kWX3P3b5WcF2i+WQKD4zrpimtXF/gHwXqWUoZR6FTCrtR5r0r1FG+mUcbRiXd5sgpuOpZlYSK0ae+G4ZvacGYCI/0ydx6Bl4PcZvDBbfL1udm+3nCvTfPVa5nM3cBUQVUqNAp8A/ABa6y8C9+It8TmGt8znj+pxX9F5OuV85mLrIrMJLjubnJWN/ZHR02zPm8sp3I44HUsT8JkMhi2Gev3L6jxu7Qvy+5k4ibRbdm+3nCvTXHVJkFrrd67yugvcUo97ic5WTeXvVi5pKbYuMv8grfz7Oy7MxNLc/ZsXOK/PtyLO7HbEcovRTQO294e4cEukZLENKZDRfF2/k0a0l0p3rLTiEK58xdZFZg/Ssh2XzZnusePC0akYsZRDKBDAMHwl41xtMXrIb5YttlGPikWiOpIgRVNVumOl1V3xYq01n2mQtN1l44f53W7LdybWYnHWYzG6FNFtLhnVFU1VaaHZVhePKLYucqg3wGDEYuemcG78MNvtth2XTZHlh2sVxtnsor6idtKCFE1V6ThaOxSPKGyt2Y7LfUdnlsVuOy626xL2m4xsDBGPxUrGmd9FPjoZY3QuyWzCpi9g0hMwOXRySbrKbUZakKKpKj2fuRFLWmpdYlQ0dstkuNfPrk2homsYC+PMTraE/CYDYYsXR0OM9AVIO27bLXUS0oIULVDJOFqri0dUGvvBsUUeHVssmhxLxdnq8VVROWlBirZiZ1pSR6di/H7G2388Pp8i26hqVvGISq1lXLHV46uictKCFG2jcGnPrmiIiYUUpxZTzCbSXLg5wgUjkaoP4To6GeP4XJInTy0RtAz6gj42RfyZxdr546DlxzVLjV9et6OfI6dijMVNFl1WXXrTqPFVUX+SIEXbKOx6mobB8IYAwxsCJNIuu6Lhirue2WR7ajHF87MJYikHB1hIOSRsl6TtMpuwl40dlhvXrGRd5rUFe7FLacaZ2qI+5Dsh2kY9u57ZZDsbt3PrFMOWCS6kHJd42iWWcphY8CpRrHaWdT1LjcmZ2p1DEqRoG9XUT1xNNtnmbw/sCfjw+wxwIZb2kuZ0LF3RuGY9k7esh+wc0sUWbaOeXc/sOJ+3PdB7zjBgMOxnMWkTSztekUXDqOgs63qOG8qWwc4hCVK0jXou7ckmW59pYLtnWmqGAb1BHxtDPnYPRXJrMCt9v3KvF1NuYbpsGWx/0sUWbaOeXc/sON9g2Fqx8Np2vOcrHe/zPt7l0PgSh8YXOTKxxPh8EieTeEu9T6fUvhSlSQtStI1s1/Ox8UX+7fn5zASKy1BvgIuHqxuXy25ptF2XuYTJUl4dx7DfpD9kLUu6pVp6uzeH+fGx08zGbYKWwVLKBRfGF1LMJmzO3Rhkc6+/aPKWBeGdTxKkaDujc0k2BHxEh878eD42vsSJ+WTFZc7yx/k2BHxn9j2HTc7pD7JrUzg33lduCc9Do3METJOw32TnpjATCymmY2kwIGm79IV8JWOqpvalaE+SIEVbqWerq9LSYMXumS2Ce+TUEmHLZGPIylUCH96QX7XHKJmwZUF455MEKdpKPVtdlVbuKbxnfhFcx3WJpR16XZfxhSRzifSycmflkpwsCO988h0SbaVeayGrmSApfM/8IrimYeBmJmN8psFS3uJyKJ/kZEF455MEKdpKvcqcVdJVzxbGeGoqzqHxJY5MxBifTzG1lMq1MMNFypVNx9LA6klOFoR3Pulii7ZSr7WQq3XVj07GOD6bYGopzcagyXjKzsxOJzkdTzMY9mMYELIM/Ka3VCibNNOOy/OzCVK2i2V699oxGOJ1g5uW3UcWhHc+SZCiJcotq6nHyX2rTZCMziUZDFsELYOhXj+zCTvvSFdYTNqE/SaRgI8dg0EmF9NMx9KkHZfZuE1/yMf2gSCmYeS67jP2GK89y78s8ckZMp1Nutii6cqND/7k6dNcs30jG4ImT07GeWx8kScn42wImly3o7/iVtdqXfHZhJ1rYZqGwa5NIYZ7/fgMiPgNYmknVyncMk2GNwTYPRShP2xxXn+Qbf3BZaXSgpbBxHyiqqIVov1JC1I0TbbV+K/PzXF8NkHQZ+aWzpiGl2ROLaS46+ApQpbJi6NnutPzCYefPH264nWQq3XV+wLLE2h+aTXHdTk6GWcgXFgv0iVlu2wfCBa9Z8hvytrGLiMJUjRF/mLsiYUkVmaPdOHSmdPxNKeW0iu60uXWQRbrrr9oIMhAxMf0kl20q94TMEmX2OpnGgYXbomwa1N4xdihZVL0eIUz7y9rG7uJJEjRFPmzyl6FnTNnTWeXzgxv8HszxCW2KBdbB1lqF8yj40sMhi0uHo7w+5nEigmSQyeXyk8GjRQvJvH0dFzWNq4jkiBFU+TPKnsVds68ll06M7zBn5ktLp1kCltoj4yeZmoxxUzcm0TJzjYPhi1c12Vbf5C3XbhpxftUevxsoXJd93jK4cWytrGrSIIUTZE/qzwYthhfSC0bSzyzcNtLbqUUttCOjM/zbOZIBZ9pgOEl32wxid6gr+iY4FqX4JRLrOcOBtmzxV/04+qhmjO9RX3UJUEqpW4A7gB8wFe01p8ueP19wH8HXsg89Xmt9VfqcW/RGfK33RUuqwEvYSXSLucOBAiUaEEWWwf57PTSsvfJ8pkGsZTD8dOJkjGtZQlOucT6ugtHmJmeqvi9qlHJmTiSJOuv5gSplPIBdwL7gFHgYaXUD7TWRwou/ZbW+kO13k90pvyuaXZZTbYyTiLtEAj4mE/a9Ad9PDebwG8abN0YyE2IlOr6zuYdqVDIZxrMJes/aVIqsTYyQUnptNaoRwvyUuCY1voZAKXUPwJvAgoTpFjHCrum2WU1/SGLk4sphnr8hP1ey3H7QIjRuQS/n0lwXn+QsN9Xsuu7MWwxuxQvmpxsx6UvYnJwbLHju6VSOq016pEgzwaO5z0eBV5Z5Lq3KaVeCzwF3K61Pl7kGtGlSnVNAz7vP33If6ZbbRqwbWOQRNrloi3lu8DbB3uYnFvKFcTNsh2XsGWymHR45MQCs3E7N4nzmxML/Op4kP94yRCBDpl1ltJprVGPBFns21a4UOOHwN1a64RS6gPAXcDVhR+klNoP7AfQWhONRusQXm0sy2qLOKB9Yqklji1DcG3e4797+DhWsPh/7ggwFje5tsy99iTmmIunmI6lmFxIYrsuPsMg2hsgmTmYa3zJZjHpYllWbuvYs7Mp7n58jtuu3FG3lmQjvz8DfbGyy4sCPnPZvdvlZwXaL5aqrq/DPUeBc/IebwVO5F+gtc4fuf4y8Jlib6S1PgAcyDx0KzmEvdGi0WhFh8E3QzNiqWSmtJ5xzMwtlG0ZLbqUvdfFI5t49Nlx4obNroEzP86JtM10LEHEMpnNVOdJ5eUXE3hybJYHDj9ft65pI78/IyGn7LrNvSM9y+693n5uKxWNRgkEAhVfX48E+TCwSym1HW+W+ibgXfkXKKVGtNZjmYdvBB6vw31FnbViprTWorLlZpUtE56cLD4+CYDhVj12V+4XSCOtdd2mqE3NCVJrnVZKfQj4Md4yn69prQ8rpf4a+LXW+gfAh5VSbwTSwDTwvlrvK+qvFTOl9ShvVmpW+enp+LJzsVd8nGFUNXa32i+Q9zSwGyml01rDcN22PXrSPXHixOpXNVi7dQ8aGcs9h6dWHed624Wb6hqH7bjcd3SmZMvouh39HDkVK9nlz4+lsHU3FUtzdDJGT8CX68a7rsti0mEpZRPxmwxGArz5gsGKkszBscWyyfzK80fYHrHr8nWp1Xr6ua1GXhe7ot8onTGFJ5qiXscdVCPbMto70kPAZ+I4MLmUZj5pM7OU4m/+7QV+fGyGeLr8sQnFSqgNhr3EeGoxhet6yXE65r23zzQIWT42Bn0Vn1O92lKbJ04u1PVrI1pPEqTIqddxB9XKdpHffMEgfSGfd+RrxPISZcJmeinNsakY2fyV3+XPKjY8YBoGLz+7h16/yUIyzWLSxnZcNgR8bAx6FX2Gev1F36+YVX+BlGl9i84ke7FFTr2OO1irwiQ3ndkl47ouE4spZuI2EcvMFaM4OhnLLRkq1bqzTJNXnNPLdMxmailNb9rJfXy2DiVUtth61Qkln7Q3uo0kSJHT6JnS1ZYQFSY523Fx8RJlynZJ2i4Rv5mrIzmbSOe6xeUWUpuGwaawxaawVdNi69V+gZy/pRdojzFIUR/yK08sc/aGAPNJmyMTSxyZWGJyKc3Fw5Gal/hUcgxrYYLymQaLSYeU7WaOX13+WjLt8sjoaaCy4YFahxBWO6Xwkq39ZT9edB5pQQpg+RKWaMQiGvF+NBJplxPzSV4yXNvynnJLiCYWUnzv8SmemoqTTNu5LnB/yMfYfDJXsCK/9Wc7LsO9fp44ucD27eGKhwdqGUKQpTbrjyRIAVS3BjJ7nnQ1BSBKjRE6Ljw/myA55bK5x8940mYhaXuJEVhKOZiGQcBn0Ov35e4f9nsTLNmJkUqHB2odQpBTCtcX6WILoLJqMeAlp+88Ola2q1xMqfG9iYUUsZQDhsvmHouFlM1cwgYM0oBlgOO6pBxv/NFnkDtt0DSM3MRI4XIh1/XWbe4d6ckND1RyjRD5pAUpgMqrxRw6ucSpBafq3TalZoCzM9U+A04tpunx+/AZ3rGrpmtgGiaDIR8Rv8mW3gDDG85U7C6cGKmkdSctQFENSZBdqtry/JXuiX56Oo4/EOKF6dSKM2A291j863NzRe9ZaozQdlxs12Vzr3dgl+Uz6PX56A163WnXdQhaPmIpJ3duDSyfGGlUFW8hpIvdhSqZMS60YzBEMl2qe+yyI3MYVSxl8/j4POOZ0mIYYLsuY/NJfnl8nudPJ4rec/fmcNFey8t0AAAYpElEQVQZYAxy44nF4rJMk12bQgz3+gFXusWiqaQF2YXWUnSi0kmOmbjNUnLlGTDxtMNi0sFfcJ5M9p5HTsWKzgC/7Kwe5uM2pmFgGjCXsImlndySnpENfsCrPr6tP1T0hEIhGkUSZBdaS3n+7ATGY+OL/Nvz80wspACXod4AFw8Xzu562Stb+CGWdlhI2rjAUsrGcd3c0pzCexaO/2WLVUwspIilHeYSNpZp4ODiN71qO8emYpyzMcgFm6Wkl2gu6WJ3oVqKTozOJdkQ8LF7KMzuoQjRiMVj40u5rvlAyEckaJG2vTHBhZSdKQTh/TClHZejU3Ect3AxdfF7ZhPzxpCPoM/IHMHg0uv3MRi2sHwmcwmHpO1KzUPRdNKC7EJrLUJbSdc87PdxwZYIj8QT2LE0Jt4C7qDPwPJ5h3HFUg4TCymGNwTy3qP072Kvu26wZ7gHx3Vzpx16xyfA1j4/myKWjDeKppME2YXWWnSikq75jsEQT53Onm99JgEuJLz1iz1Br5iEN+McWPWeZ+LyJnaypx3mJ1eAlN22dUtFF5ME2YXWWnSikrWQe7ZEmLFTJGwXK69FF7K8IhKhTEvRdrNFJCrbpVLr0QtrUe1SKLH+SILsQmvdM1xJkvKZBm+9eITfjU4xsZDKrYPcvMHP5h6LU4tppmNpwFuOU8k+ZW95j5escFlRjqwRpdZacf6O6DySILvUWnaMlOuax1MOAZ/BPYenMAOLAPQGTbb2BcnPI8Mb/AyErYrvbTsu//zkDEenYkwvpUnaTqaLnmI2nmZbf5ChXn/dJ2hacf6O6Dwyiy1ySpXziqccTi6mmI3bJG0HM3OcwULc5vFTZyp9Q/W1Ix8bX+ThFxaYidkMhH30BrwdNLGUw4n5FH1BsyGtuUr3nov1TVqQAjgzHhdLest35hI2fQGTc/qD9IW8pBXye79PszPNLi4zsTS/OWFzTl+QrX0BLhiJVDSGl73f3z16itOZ/dhhy6QnYOa2GdqOy9hCuiFd3Ur3nov1TRKkWDEeN7LBz8gGP4m0V1YslnKWJcfHTy4wu5jCZxpsDFn4DIOBsEU4YFacHLP3m0/YpB2XWNphPpHGt2QyGPb2YvtMg5PzyapLq1WiFZNCovNIghQcOrnE1GKKmXh6RQEK1/VaiSN93rKbiYUUSwl3WXKyHXfZ2N2eLZGys8PZ8T+/z2Ap6WC7Lt5KSAPbdZmJp0lmFqVPx20Oji2WnEhZq1afvyM6gyRIwdGpGM/OJoilMnusDQPbhfGFFLMJb6fMSOba6Vgan+XHcc6cvZJNlkHL4OhkjOOzibKzw9nxv/H5FD4T7LxjXAy8Irop2/XKnwV8ZSdStgyt7XNu9Pk7ojtIP0Jw/HRecszjM71dMY7r5ir9FFbcsR2XwfCZ37Ojc8lVZ4ez43vTsTT9Ie8grfx3dV3A8ApgnDcQLBpzrRMpUjxXVEJakOtU/iLpJydjOJCZJPEtm7zwitkabOqxmFxMr+haRzKlyrJmE/ayorb5skktO/5nOy49AR+JtMNSyiHteuXMTAMilollwJbeQNH3gtonUqR4rliNJMh1qHBSJmgZLCS9ijwJ22Ew7M8lSdtx2Rjx5xaezydtxhdtfIbB5l7/srOlE2mXDQGD8fnkirFM7zqvOs/uoQiPji3iM70xx8GIn2DSK3NmOy59QYtz+4PMxtOUa8jJRIpoNEmQ69Cj44s8PuElO9txiaddnEzLLWW7LCZteoO+XAtxa18g19rasyXCgydSPDdxesXY3WDY4vhsnIVk8bHMXZtChCxfbvxvfNFkeslrlfYGfYT9JmG/VyA3ZcO2/gALCUcmUkTL1CVBKqVuAO4AfMBXtNafLng9CHwDeBkwBbxDa/1sPe7dTZqxNzjbepxP2LkkFrJMko6N44LfhFjaYWPIYnOvn40hH7ui4dzHZ7caPnA4tWIbo+O6PD5pQnLl+daxlMPobJLrM+N7N+4a4OwNAf45E0vAd6ZFmrIh2mNx3Y5+fvL0aZlIES1Tc4JUSvmAO4F9wCjwsFLqB1rrI3mXvR+Y0VrvVErdBHwGeEet9+4mlewNrodDJ5dyRWmzegImCduruRj2e7tZdg+FSyaiUmN39xyeYmtfkHjKG1MsTOop50xNR59p8NKzerl4uGfFL4ULh878UpBzqEUr1aMFeSlwTGv9DIBS6h+BNwH5CfJNwH/N/PvbwOeVUobWWmpYZVSyN3itS1ryPT0dJ+gzc9V2AAzDGydcTDokMq3HSgtN5EukvW2IOzeFz9R0zBaz6PUz1OMvOlNebqJEJlJEK9VjlPts4Hje49HMc0Wv0VqngVlADhfJ06y9wYm0w2DYWrFcxzC8ccD+sMXbLtzE2y7cxN6RnqpaadlJE9PwilbsHgqzZzjC7qEwwxv8ud04QnSKerQgi/0PKmwZVnINSqn9wH4ArTXRaLT26GpkWVZT4jADi0TK5CK3TrEM9MUIRxxi7jyLCRvLd+amadtlU4/F6y7cVjYxlorjku0+Hn7uNMEiiTCecrjk3H6i0foMFawWSytILMW1WyxVXV+He44C5+Q93gqcKHHNqFLKAjYC04VvpLU+ABzIPHQnJyfrEF5totEozYjDScaJl9kbHPCZpNPpmmMZCTk8OrbIuRt8TBjOsm5wX9Bk33k9q54zXeprsi3kcthMMTlXfFJlW6j2+CuNpRUkluLaLZZAoPTa2kL1SJAPA7uUUtuBF4CbgHcVXPMD4Gbgl8B/AH4q44/LNWtvcP4Wu+EN/tyi7mwSu3h47WN9Mqkiuk3NCVJrnVZKfQj4Md4yn69prQ8rpf4a+LXW+gfAV4G/U0odw2s53lTrfbtNs/YGNzqJyaSK6CaG67ZtQ849caKwp958zegeZNc/Hp2Kcfx0grmkw8agj619AXZFw7nEtdZY6r2+st26TBLLShJLcXld7Ip+8GUnTQNUk5BW1GLsCzCC13KstL7iarHI2StCrI2su6izbEI6OLZI0naWJaT7js6sWF5TyfrHWjT6/YXoZpIg66zahNTo9Y9PT8exfDA+n+TIxBKHxhc5MrHE+HwSvw85e0WIMiRB1lm1CW+1kl21lvSKpWyOTsUZX0hhuywrIHF0Kk4sZa/6HkKsV5Ig66zahLdaya5aS3rNxO2yxXBn4pIghShFEmSdVZvwdgyGctW6CyXSLjsGpaSXEK0iCbLOqk14pc6irtf6x4GQj4jfLHpUQsRvMhiShQxClCL/O+qs2gXfpRZunx8N4gLfe3w699wl232cHXA4cipW8ZrGsN9XurpOr59QA6tyN6O+pRCNJAmyztayU6Vw90mptYu/enaG5ybnGOrxE/abJdc05iem52biTMbSbI74OX9zeNkRBom0y4VDjenCy/pL0Q0kQTZArdvtSi0VmllKcmoxTdDnHU2QVXgmdX5i2rLBz1zSZnQuyVwizc5NXpJsdFXuSpY7yXZE0e5kDLINlVoqNLWUImgZTMfSK17LLiEqTEymYbBrU4itfX4SaZeJhVRTjjdtVn1LIRpJWpBtKJF2lh29mpWyi59Nnf9xxRKTaRgMbwgwvCFAwGfytgsbX6u41OeQ/7oQ7U4SZIOtZaIie250Ib/PIJ2m7Me1S2Iq9Tnkvy5Eu5Of0gaqdl92VqmlQpsi/tzxqoWyS4gavfC8UrK+U3QDSZANtNZCEaXWRg5EAmzusdgY8i17Pn/CpV0SU6PXdwrRDJIgG2itExXZpUJ7R3oI+Exc1zty4VXnDfCRV5/FJWf1Lns+f8KlXRJTqc+h0ZNDQtSTjEE2UC3jgcWWCkWjA0xOTq56TGq7HHsg1cVFp5ME2UCtmqjIJqY9WyK5RHlkwvtbdrIIUTnpYjdQK8cD1zpBJIQ4QxJkA7VyPFAqiQtRO+lil2E7Lg8/P8Mjv59aU7GFZo0HFltreWI+yWDYV/T67ASRjA0KUZ4kyAL5JwwePrmEY/oYCBgM9frXVGyh0RMVpYpCHJ9NMLVksmtTCLPITJHsZBFiddLFzpM/bjc6myCWdjAMg/GFJMemYjhu+3VRS3alfSaxlMPEQqrox8lOFiFWJ/9L8uQnm+lYOtdC9JkGS3nJpp2KLZRaa5ndbVOssIXsZBGiMuuyi+06Nu4Th+C5Y7jJBEYgCOfu5Jh9di7Z2I5L/iJGn+klzeENfqB9uqil1loO9fqZS6RZSjkF18tOFiEq1fEJstpiEK5j4z5wL+70JEYwiGEYkEriHv4tCf8SxvadGIbhFZ51V94rq55d1Foqb5daa2kasHNTmOlYmoDPbOmCcSE6VUcnyLVUrXafOIQ7PYURDC573ggGCSzOk5qcgM1bGAxbjC+k8Oddk32vRNrlgs3Fu6jVJrtaK2/vGAzx6Nhi0W52yna54ty+VSeI5GgEIYrr6DHINa31e+4YRjBQ9P12BhMkT08DXhc17DdJZ1pntuNV0SnXRV3L4uxa1yvWutZSFpQLUVpNLUil1CDwLeA84FlAaa1nilxnA4cyD5/XWr+xlvtmVVIMorD15CYTXre6iIt8CxxPhphOuwQtrxL3bMpkdHqRsN9ka1+AXdFwyZbVasnusfFFDMOo63rFWtdaytEIQpRWaxf7z4H/T2v9aaXUn2ce/1mR62Ja67013muFtRSDMAJBSCWLXu8z4MaeOQ6P9OSSzfZNPbz67NJJMV+5hO33GfzoqRnO6QuuXK+4aNAX9DETt3OnDg6GLYZ6/RVNBtWy1nItv2SEWC9qTZBvAq7K/Psu4GcUT5ANsaZiEOfuxD18sGg3200k8O3cvSzZRKNRJicnK4qnXMKeWEixkLBXtNQCPoMX5lNMLqXpC1lgeJND4wspZhM2Fw41dra5XSqQC9GOak2QW7TWYwBa6zGl1FCJ60JKqV8DaeDTWuvvFbtIKbUf2J95P6LRaNmbX7Ldx8PPnSboX5kI4ymHS87tJxodWPa8e/nrWJqbwZk6iRE8M9HiJuKY55xH5PLXYfjOdHkty1o1jqyBvljJhD0/M0dvOEgksjzhBf1pHNKkXRO//8yUkB+Ip2w29PTk7l9NLJUqFzN4NRwL79mIONZKYilOYinOsqpLeaterZT638BwkZc+XsV9tmmtTyilXgT8VCl1SGv9dOFFWusDwIHMQ3e1ltu2kMthM8Xk3PIxtOwExbZQumjrz730tbl1kCQTEAjC9vMxzt9DbGb5EGo1LciRkFNyRnkhnmCk18/S0vJJl0QyiWW4JNNpUqkzid52XCJ+k/mFxdz9q4mlUuViTqRd9o70rLhnI+JYK4mlOImluGg0SiBQfJK2mFUTpNb62lKvKaVOKqVGMq3HEWCixHucyPz9jFLqZ8BLgRUJslprnaAwTB/G7r2wu77Donu2RBidSzC5uDJh9wV9DPX6V3yM48Jg2E8s5eAzjNwY5OZeP0O9flINnkUuF7MsKBfrXa1d7B8ANwOfzvz9/cILlFIDwJLWOqGUigKXA39T431z2qlqdbmEffFwhEPjSwSslR+TtB3O7feOZS0U8DV2JVY7VSAXot3UmiA/DWil1PuB54G3AyilXg58QGv9n4ALgC8ppRy8dZef1lofqfG+batUwrYdlxPzyRUttd6gyULcLdq6LLcgvRkxC7HeGa7btguB3RMnTrQ6hrqOnxTbsfKigSDH5xJML9lFu7j5O2naZSynXeIAiaUUiaW4vDHIirpGHb3VsNOUaqldOBThh09Oc+hkjGTaJmD52LMlzHU7+qWLK0QLSYJsMdtx+fGx08wnHF4cPdOdnk84/OTp03JEqhAt1NF7sbuBnB0jRPuSBNlilWz1E0K0hiTIFlttK59s9ROidSRBtthqhXfl7BghWkf+97XYjsEQyXTxpVZydowQrSUJssVqLXgrhGgcWebTYrLVT4j2JQmyAo0+s0W2+gnRniRBrqLWQ7WEEJ1LxiBX8cjoaVnILcQ6tW5bkJV2m584uSBntgixTq3LBFlNtzkuC7mFWLfWZRe7mv3PIVnILcS6tS7/d1ez//n8Lb2ykFuIdWpdJshq9j9fsrVfFnILsU6tywRZzf7n7ELuvSM9BHwmruudE7N3pEeW+AjR5dblJM2OwVDZo04Lz4GRhdxCrE/rsgUp+5+FEJVYly1I2f8shKjEukyQIN1mIcTq1mUXWwghKiEJUgghSpAEKYQQJUiCFEKIEiRBCiFECZIghRCihJqW+Sil3g78V+AC4FKt9a9LXHcDcAfgA76itf50LfcVQohmqLUF+TvgrcCDpS5QSvmAO4Ebgd3AO5VSu2u8b1G243JwbJF7Dk/xD4+e4p7DUxwcW8R2ilfjEUKIcmpqQWqtHwdQSpW77FLgmNb6mcy1/wi8CThSy70LydkxQoh6a8ZOmrOB43mPR4FXFrtQKbUf2A+gtSYajVZ8k4efnyHm+hnoCy57PgIsphyej1u8YttAlaGDZVlVxdFI7RJLu8QBEkspEktxllVdylv1aqXU/waGi7z0ca319yu4R7FmW9E+r9b6AHAge83k5GQFb+955PdT2LbDUqrU6xNsj9gVv19WNBqlmjgaqV1iaZc4QGIpRWIpLhqNEggEKr5+1QSptb62poi8FuM5eY+3AidqfM8VEmkHoyAVOy5MLKSYjqWxHa8Ibj3PsxZCdLdmdLEfBnYppbYDLwA3Ae+q902ClknSPlMJ3HHh6FSMWMrBZxr4TEPGJIUQValpFlsp9Ral1ChwGfDPSqkfZ54/Syl1L4DWOg18CPgx8Lj3lD5cW9gr7RgMLTs7ZmIhlUuOtuMyGPZ+F8h51kKIShmu27ZLYNwTJyrviduOy31HZ5hc9Gaxj0zEsF0X23EJ+012bQph5vXBAz6Tt124adX3bbfxk3aIpV3iAImlFImluLwxyIq6j12zk6bw7BjbcfAZMNzrX5EcQc6zFkKsrqsK5hYWwc0fkywk51kLIVbTtVmicEwyn5xnLYSoRNcmSDmYSwhRq67qYueTg7mEELXq2gQJcjCXEKI2XdvFFkKIWkmCFEKIEiRBCiFECZIghRCiBEmQQghRgiRIIYQoQRKkEEKUIAlSCCFKkAQphBAltHU9yFYHIIToWh1fD9Johz9Kqd+0OoZ2i6Vd4pBYJJYaYqlIOydIIYRoKUmQQghRgiTI1R1Y/ZKmaZdY2iUOkFhKkViKqyqWdp6kEUKIlpIWpBBClCAJUgghSujqiuJrpZQ6B/gGMAw4wAGt9R0tiiUEPAgE8b5f39Zaf6IVseTF5AN+DbygtX5DC+N4FpgHbCCttX55C2PpB74CXIS3hvc/aq1/2YI4Xgx8K++pFwH/RWv9v5odSyae24H/hPc1OQT8kdY63qJYbgX+GG+Zz5cr+ZpIC7K4NPBRrfUFwKuAW5RSu1sUSwK4Wmv9EmAvcINS6lUtiiXrVuDxFseQ9Tqt9d5WJseMO4B/0VqfD7yEFn19tNZPZr4ee4GXAUvAd1sRi1LqbODDwMu11hcBPuCmFsVyEV5yvBTv+/MGpdSu1T5OWpBFaK3HgLHMv+eVUo8DZwNHWhCLCyxkHvozf1o2s6aU2gq8HvhvwEdaFUc7UUr1Aa8F3gegtU4CyVbGlHEN8LTW+rkWxmABYaVUCogAJ1oUxwXAr7TWSwBKqZ8DbwH+ptwHSYJchVLqPOClwEMtjMEH/AbYCdyptW5ZLMD/Av4fYEMLY8hygZ8opVzgS1rrVi0neRFwCvhbpdRL8L5Xt2qtF1sUT9ZNwN2turnW+gWl1P8AngdiwE+01j9pUTi/A/6bUmpTJpY/xBsmKku62GUopXqBe4DbtNZzrYpDa21nukxbgUsz3YWmU0q9AZjQWv+mFfcv4nKt9SXAjXjDIK9tURwWcAnwBa31S4FF4M9bFAsASqkA8Ebgn1oYwwDwJmA7cBbQo5T6v1oRi9b6ceAzwP3AvwCP4g2llSUJsgSllB8vOX5Ta/2dVscDoLU+DfwMuKFFIVwOvDEzOfKPwNVKqb9vUSxorU9k/p7AG2e7tEWhjAKjeS37b+MlzFa6EXhEa32yhTFcC/xea31Ka50CvgO8ulXBaK2/qrW+RGv9WmAaOLrax0iCLEIpZQBfBR7XWv/PFseyOTNDilIqjPdD90QrYtFa/4XWeqvW+jy87ttPtdYtaREopXqUUhuy/wauw+tGNZ3Wehw4nplBBm/sr+nj1QXeSQu71xnPA69SSkUy/6euoYWTe0qpoczf24C3UsHXR8Ygi7sceA9wSCl1MPPcf9Za39uCWEaAuzLjkCagtdY/akEc7WYL8F2lFHg/x/+gtf6XFsbzfwPfzHRtnwH+qFWBKKUiwD7gT1oVA4DW+iGl1LeBR/C6s7+ltdsO78mMQaaAW7TWM6t9gGw1FEKIEqSLLYQQJUiCFEKIEiRBCiFECZIghRCiBEmQQghRgiRIIYQoQRKkEEKU8H8A6fovnNBaK00AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n_seeds_S 50 size_ngh 100\n", "y.shape = 246 y.mean() = 0.4065040650406504\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for n_seeds_S, size_ngh in [(1, 1), (100, 100), (50, 50), (100, 50), (50, 100)]:\n", " X_u, y_u = CondensedNearestNeighbor(x_vis, y, n_seeds_S, size_ngh, 1)\n", " print('n_seeds_S ', n_seeds_S, 'size_ngh ', size_ngh)\n", " print('y.shape = ',y_u.shape[0], 'y.mean() = ', y_u.mean())\n", " plot_two_classes(X_u, y_u, size=(5, 5))\n", " plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing CondensedNearestNeighbor with other models\n", "\n", "**Advantages of CondensedNearestNeighbor:**\n", "\n", "- Create Condensed space\n", "\n", "**Disadvantages of CondensedNearestNeighbor:**\n", "\n", "- Variance due to randomnes \n", "- Need to define the two parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other Under-sampling methods\n", "\n", "* Under-sampling with Cluster Centroids\n", "* NearMiss-(1 & 2 & 3)\n", "* One-Sided Selection\n", "* Neighboorhood Cleaning Rule" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Part 2: Over-Sampling\n", "\n", "## Random over-sampling\n", "\n", "Replicate the minority class examples to increase\n", "their relevance" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import random\n", "def OverSampling(X, y, target_percentage=0.5, seed=None):\n", " # Assuming minority class is the positive\n", " n_samples = y.shape[0]\n", " n_samples_0 = (y == 0).sum()\n", " n_samples_1 = (y == 1).sum()\n", "\n", " n_samples_1_new = -target_percentage * n_samples_0 / (target_percentage- 1)\n", "\n", " np.random.seed(seed)\n", " filter_ = np.random.choice(X[y == 1].shape[0], int(n_samples_1_new))\n", " # filter_ is within the positives, change to be of all\n", " filter_ = np.nonzero(y == 1)[0][filter_]\n", " \n", " filter_ = np.concatenate((filter_, np.nonzero(y == 0)[0]), axis=0)\n", " \n", " return X[filter_], y[filter_]" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.1\n", "y.shape = 1000 y.mean() = 0.1\n" ] }, { "data": { "image/png": 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444387u/+LgC/8Ru/wV133bXsi1ssFprLZe9+eOk5GB8OozvXxb1yEVo6am41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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.2\n", "y.shape = 1125 y.mean() = 0.2\n" ] }, { "data": { "image/png": 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ksBTduS7u+TPQ1Fp1qpn2XDhzAs6dlmhRayE71wO0bzIApMfBa/CNBPy/BR0b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\nqrGaRg3Q128D1m4g0QQCo1KNiehRFkjkaJt4LdlS09oOXLeJWmiMiGi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.3\n", "y.shape = 1285 y.mean() = 0.299610894942\n" ] }, { "data": { "image/png": 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IZYTIsmmxrjctyQEahhBmfxJyNkY8jrusGSLeyzYyDAMDcj0njgb9xpYlBqn/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\n5Ngova9uZZkYDyYy9JFQ+/d5LqQqVvjLyLPKkbm+AVjXASEMoG05Za7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.4\n", "y.shape = 1500 y.mean() = 0.4\n" ] }, { "data": { "image/png": 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GPI67pBki3ts2MgwDA3I9x48E/caWJQKp//Ii+uL5UEY+xKygdzjLx585Qsew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\nJ30PN98KuC7+NES3YXqJNNoy1UdVCV/68j1wr2XX1cGJaxeVHHdTc6h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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.5\n", "y.shape = 1800 y.mean() = 0.5\n" ] }, { "data": { "image/png": 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k5BVmBaf6JnDHjw7BXc6vA9h98wosqa2arW0BKAPxbdiwAY8++mg59lIwuG3R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\nYKoMFr5iuGc75PvvAVPjdGydnSFdmVOLyN2CZCtFAqWrAaH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for target_percentage in [0.1, 0.2, 0.3, 0.4, 0.5]:\n", " X_u, y_u = OverSampling(x_vis, y, target_percentage, 1)\n", " print('Target percentage', target_percentage)\n", " print('y.shape = ',y_u.shape[0], 'y.mean() = ', y_u.mean())\n", " plot_two_classes(X_u, y_u, size=(5, 5))\n", " plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing Over-Sampling with other models\n", "\n", "**Advantages of Over-Sampling :**\n", "\n", "- Fast to estimate\n", "- Easy to understant\n", "- No information of the majority class is lost\n", "\n", "**Disadvantages of Over-Sampling :**\n", "\n", "- No new information is added\n", "- Hurts the generalization capacity\n", "- Variance due to randomnes \n", "- Need to define the target percentage" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SMOTE\n", "\n", "SMOTE (Chawla et. al. 2002) is a well-known algorithm to fight this problem. The general idea of this method is to artificially generate new examples of the minority class using the nearest neighbors of these cases. Furthermore, the majority class examples are also under-sampled, leading to a more balanced dataset." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Number of nearest neighbours to used to construct synthetic samples.\n", "k = 5\n", "\n", "from sklearn.neighbors import NearestNeighbors\n", "nearest_neighbour_ = NearestNeighbors(n_neighbors=k + 1)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "NearestNeighbors(algorithm='auto', leaf_size=30, metric='minkowski',\n", " metric_params=None, n_jobs=1, n_neighbors=6, p=2, radius=1.0)" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Look for k-th nearest neighbours, excluding, of course, the\n", "# point itself.#\n", "nearest_neighbour_.fit(x_vis[y==1])" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Matrix with k-th nearest neighbours indexes for each minority\n", "# element.#\n", "nns = nearest_neighbour_.kneighbors(x_vis[y==1], \n", " return_distance=False)[:, 1:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Example of the nns of two cases" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LL700sp+UiIioFYZ166CZTPAPHCg6CiUwSTvVojIdq6ysFB2h3ThfHxr7JzT2T2jsn9DY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\n1hBES0T+xuSMiKLCpXo0x/vvQ7BYkDJtGgSzOdRheeXK/mZxmZkQtVp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def base_smote_plot(sel, nns):\n", " fig, subplot = plt.subplots(nrows=1, ncols=1, figsize=(10, 10))\n", " \n", " for i in range(len(sel)):\n", " # plot the select sample\n", " subplot.scatter(x_vis[y==1, 0][sel[i]], x_vis[y==1, 1][sel[i]],\n", " alpha=1., s=70)\n", " # plot the neighbors\n", " subplot.scatter(x_vis[y==1, 0][nns[sel[i]]], \n", " x_vis[y==1, 1][nns[sel[i]]],\n", " alpha=0.5, s=70) \n", " \n", " # plot the lines\n", " for nn in nns[sel[i]]:\n", " plt.plot([x_vis[y==1, 0][sel[i]], x_vis[y==1, 0][nn]], \n", " [x_vis[y==1, 1][sel[i]], x_vis[y==1, 1][nn]],\n", " 'r--') \n", " \n", " xlim = subplot.get_xlim()\n", " ylim = subplot.get_ylim()\n", " subplot.scatter(x_vis[y==1, 0], x_vis[y==1, 1], alpha=0.1, s=70)\n", " subplot.set_xlim(xlim)\n", " subplot.set_ylim(ylim)\n", " return subplot\n", "base_smote_plot([12],nns)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 4.06447682, 0.27624239])" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create syntetic sample for 12\n", "\n", "# Select one random neighbor\n", "np.random.seed(3)\n", "nn_ = np.random.choice(nns[12])\n", "\n", "x_vis[y==1][nn_]" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 3.99919087, 0.14561291])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Take a step of random size (0,1) in the direction of the\n", "# n nearest neighbours\n", "np.random.seed(5)\n", "step = np.random.uniform()\n", "\n", "# Construct synthetic sample\n", "new = x_vis[y==1][12] - step * (x_vis[y==1][12] - x_vis[y==1][nn_])\n", "new" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LL700sp+UiIioFYZ166CZTPAPHCg6CiUwSTvVojIdq6ysFB2h3ThfHxr7JzT2T2jsn9DY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\nhQsX4sUXX0RmZiZOnz5dbR+TyYTp06dj4MCBNd6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YqpXfYoh75hmY7rzTk6QRUZMwOSMK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\niCiMMDkjIiIiCiP/H1HVr1SWGllEAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_ = base_smote_plot([12],nns)\n", "plot_.scatter(new[0], new[1], alpha=1., s=400, marker=\"*\")" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Select one random neighbor\n", "np.random.seed(5)\n", "nn_2 = np.random.choice(nns[12])\n", "np.random.seed(1)\n", "step = np.random.uniform()\n", "# Construct synthetic sample\n", "new2 = x_vis[y==1][12] - step * (x_vis[y==1][12] - x_vis[y==1][nn_2])\n", "\n", "plot_ = base_smote_plot([12],nns)\n", "plot_.scatter(new[0], new[1], alpha=1., s=400, marker=\"*\")\n", "plot_.scatter(new2[0], new2[1], alpha=1., s=400, marker=\"*\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apply to all cases" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Estimate number of synthetic cases to create" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "800" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "target_percentage = 0.5\n", "n_samples_1_new = -target_percentage * n_samples_0 / (target_percentage- 1) - n_samples_1\n", "n_samples_1_new = int(n_samples_1_new)\n", "n_samples_1_new" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# A matrix to store the synthetic samples\n", "new = np.zeros((n_samples_1_new, x_vis.shape[1]))" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Select examples to use as base\n", "np.random.seed(34)\n", "sel_ = np.random.choice(y[y==1].shape[0], n_samples_1_new)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Define random seeds (2 per example)\n", "np.random.seed(64)\n", "nn__ = np.random.choice(k, n_samples_1_new)\n", "np.random.seed(65)\n", "steps = np.random.uniform(size=n_samples_1_new)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# For each selected examples create one synthetic case\n", "for i, sel in enumerate(sel_):\n", " # Select neighbor\n", " nn_ = nn__[i]\n", " step = steps[i]\n", " new[i, :] = x_vis[y==1][sel] - step * (x_vis[y==1][sel] - x_vis[y==1][nn_])" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[4.99956657, 0.45629856],\n", " [4.9262738 , 0.41983964],\n", " [4.64508466, 0.25702488],\n", " ...,\n", " [5.58945487, 0.51102965],\n", " [5.47529954, 0.39266754],\n", " [5.09802765, 0.36978454]])" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "new" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_ = plot_two_classes(x_vis, y, size=(10, 10))\n", "plot_.scatter(new[:, 0], new[:, 1], alpha=0.5, s=150, marker='*')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create function" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def SMOTE(X, y, target_percentage=0.5, k=5, seed=None):\n", " \n", " # New samples\n", " n_samples_1_new = int(-target_percentage * n_samples_0 / (target_percentage- 1) - n_samples_1)\n", " \n", " # A matrix to store the synthetic samples\n", " new = np.zeros((n_samples_1_new, x_vis.shape[1]))\n", " \n", " # Create seeds\n", " np.random.seed(seed)\n", " seeds = np.random.randint(1, 1000000, 3)\n", " \n", " # Select examples to use as base\n", " np.random.seed(seeds[0])\n", " sel_ = np.random.choice(y[y==1].shape[0], n_samples_1_new)\n", " \n", " # Define random seeds (2 per example)\n", " np.random.seed(seeds[1])\n", " nn__ = np.random.choice(k, n_samples_1_new)\n", " np.random.seed(seeds[2])\n", " steps = np.random.uniform(size=n_samples_1_new) \n", "\n", " # For each selected examples create one synthetic case\n", " for i, sel in enumerate(sel_):\n", " # Select neighbor\n", " nn_ = nn__[i]\n", " step = steps[i]\n", " # Create new sample\n", " new[i, :] = X[y==1][sel] - step * (X[y==1][sel] - X[y==1][nn_])\n", " \n", " X = np.vstack((X, new))\n", " y = np.append(y, np.ones(n_samples_1_new))\n", " \n", " return X, y" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.25 k 5\n", "y.shape = 1200 y.mean() = 0.25\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.25 k 15\n", "y.shape = 1200 y.mean() = 0.25\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.5 k 5\n", "y.shape = 1800 y.mean() = 0.5\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.5 k 15\n", "y.shape = 1800 y.mean() = 0.5\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for target_percentage in [0.25, 0.5]:\n", " for k in [5, 15]:\n", " X_u, y_u = SMOTE(x_vis, y, target_percentage, k, seed=3)\n", " print('Target percentage', target_percentage, 'k ', k)\n", " print('y.shape = ',y_u.shape[0], 'y.mean() = ', y_u.mean())\n", " plot_two_classes(X_u, y_u, size=(5, 5))\n", " plt.show() \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing SMOTE with other models\n", "\n", "**Advantages of SMOTE :**\n", "\n", "- Allow generalization\n", "- Add new information\n", "- No information of the majority class is lost\n", "\n", "**Disadvantages of SMOTE :**\n", "\n", "- **Variance due to randomnes** \n", "- Need to define the target percentage, and k\n", "- No synthetic example is created outside the convex-hull" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other Over-sampling techniques\n", "\n", "* bSMOTE(1&2) - Borderline SMOTE of types 1 and 2\n", "* SVM_SMOTE - Support Vectors SMOTE" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }