{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'COL_NAMES': ['label', 'data'],\n", " 'DESCR': 'mldata.org dataset: mnist-original',\n", " 'data': array([[0, 0, 0, ..., 0, 0, 0],\n", " [0, 0, 0, ..., 0, 0, 0],\n", " [0, 0, 0, ..., 0, 0, 0],\n", " ..., \n", " [0, 0, 0, ..., 0, 0, 0],\n", " [0, 0, 0, ..., 0, 0, 0],\n", " [0, 0, 0, ..., 0, 0, 0]], dtype=uint8),\n", " 'target': array([ 0., 0., 0., ..., 9., 9., 9.])}" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import fetch_mldata\n", "mnist = fetch_mldata(\"MNIST original\")\n", "mnist" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(70000, 784)\n", "(70000,)\n" ] } ], "source": [ "X, y = mnist[\"data\"], mnist[\"target\"]\n", "print(X.shape)\n", "print(y.shape)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import random\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "#r = random.randrange(len(mnist.data))\n", "#print(r)\n", "#print(mnist.target[r])\n", "some_digit = X[36000]\n", "print(mnist.target[36000])\n", "some_digit_image = some_digit.reshape(28,28)\n", "plt.imshow(some_digit_image, cmap=matplotlib.cm.binary, interpolation=\"nearest\")\n", "plt.axis(\"off\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "X_train, X_test, y_train, y_test = X[:60000], X[60000:], y[:60000], y[60000:]\n", "\n", "import numpy as np\n", "shuffle_index = np.random.permutation(60000)\n", "X_train, y_train = X_train[shuffle_index], y_train[shuffle_index]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y_train_5 = (y_train == 5)\n", "y_test_5 = (y_test == 5)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\workrent\\Anaconda3\\lib\\site-packages\\sklearn\\linear_model\\stochastic_gradient.py:84: FutureWarning: max_iter and tol parameters have been added in in 0.19. If both are left unset, they default to max_iter=5 and tol=None. If tol is not None, max_iter defaults to max_iter=1000. From 0.21, default max_iter will be 1000, and default tol will be 1e-3.\n", " \"and default tol will be 1e-3.\" % type(self), FutureWarning)\n" ] }, { "data": { "text/plain": [ "array([ True], dtype=bool)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.linear_model import SGDClassifier\n", "#SGD는 확률적이기 때문에 매 번 값이 바뀜. 똑같은 결과를 원한다면 random_state에 값을 줘야됨\n", "sgd_clf = SGDClassifier(random_state=42) \n", "sgd_clf.fit(X_train, y_train_5)\n", "0\n", "sgd_clf.predict([some_digit])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.95465\n", "0.9677\n", "0.9663\n" ] } ], "source": [ "from sklearn.model_selection import StratifiedKFold \n", "# stratified k-fold는 cross validator로써 학습/테스트 셋으로 데이터를 분류해줌\n", "# 이 cross-validation 객체는 계층화 된 fold를 반환하는 kfold의 변형이다.\n", "# fold는 각 클래스의 샘플 비율을 유지하며 만들어진다.\n", "# class sklearn.model_selection.StratifiedKFold(n_splits=3, shuffle=False, random_state=None)\n", "from sklearn.base import clone\n", "\n", "skfold = StratifiedKFold(n_splits=3, random_state=42)\n", "\n", "for train_index, test_index in skfold.split(X=X_train, y=y_train_5):\n", " clone_clf = clone(sgd_clf)\n", " X_train_folds = X_train[train_index]\n", " y_train_folds = y_train_5[train_index]\n", " X_test_fold = X_train[test_index]\n", " y_test_fold = y_train_5[test_index]\n", " \n", " clone_clf.fit(X_train_folds, y_train_folds)\n", " y_pred = clone_clf.predict(X_test_fold)\n", " n_correct = sum(y_pred == y_test_fold)\n", " print(n_correct/len(y_pred))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 0.95465, 0.9677 , 0.9663 ])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.model_selection import cross_val_score\n", "cross_val_score(sgd_clf, X_train, y_train_5, cv=3)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.base import BaseEstimator\n", "class Never5Classifier(BaseEstimator):\n", " def fit(self, X, y=None):\n", " pass\n", " def predict(self, X):\n", " return np.zeros((len(X),1), dtype=bool)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "array([ 0.9092 , 0.9113 , 0.90845])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "never_5_clf = Never5Classifier()\n", "cross_val_score(never_5_clf, X_train, y_train_5, cv=3, scoring=\"accuracy\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.model_selection import cross_val_predict\n", "\n", "y_train_pred = cross_val_predict(sgd_clf, X_train, y_train_5, cv=3)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[53434, 1145],\n", " [ 1082, 4339]], dtype=int64)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.metrics import confusion_matrix\n", "confusion_matrix(y_train_5, y_train_pred)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "precision: 0.79121079504 recall: 0.800405829183\n" ] } ], "source": [ "from sklearn.metrics import precision_score, recall_score\n", "print(\"precision:\",precision_score(y_train_5, y_train_pred), \"recall:\", \n", "recall_score(y_train_5, y_train_pred))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.79578175149014219" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.metrics import f1_score\n", "f1_score(y_train_5, y_train_pred)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y_scores: [ 119859.50054944]\n", "y_some_digit_pred: [ True]\n" ] } ], "source": [ "y_scores = sgd_clf.decision_function([some_digit])\n", "print(\"y_scores:\",y_scores)\n", "threshold=0\n", "y_some_digit_pred = (y_scores > threshold)\n", "print(\"y_some_digit_pred:\",y_some_digit_pred)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[False]\n" ] } ], "source": [ "threshold = 200000\n", "y_some_digit_pred = (y_scores>threshold)\n", "print(y_some_digit_pred)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0. , -1276038.60219255],\n", " [ 0. , -237011.49260498],\n", " [ 0. , -68427.07178696],\n", " ..., \n", " [ 0. , 10020.94028145],\n", " [ 0. , -185040.52768605],\n", " [ 0. , 165058.03001822]])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_scores = cross_val_predict(sgd_clf, X_train, y_train_5, cv=3, \n", " method=\"decision_function\")\n", "y_scores" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "precision: [ 0.0906643 0.09064909 0.09065061 ..., 1. 1. 1. ]\n", "recall: [ 1.00000000e+00 9.99815532e-01 9.99815532e-01 ..., 3.68935621e-04\n", " 1.84467810e-04 0.00000000e+00]\n", "threshold: [-1720572.79401569 -1720446.37547629 -1719916.91509902 ...,\n", " 914118.07509305 921985.3680759 942798.02378121]\n" ] } ], "source": [ "from sklearn.metrics import precision_recall_curve\n", "precision, recall, threshold = precision_recall_curve(y_train_5, y_scores[:,1])\n", "\n", "print(\"precision:\",precision)\n", "print(\"recall:\",recall)\n", "print(\"threshold:\",threshold)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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/PXm5atWqsX79eoYPH86UKVOIj4+nTJkydO3aNXmeF198kYCAAGbNmkV8fDwN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\nCYs2LGLRhkW8tP4lNu3axAe7Pvg0tmtOVzq26Ei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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_precision_recall_vs_threshold(precision,recall,threshold): \n", " plt.plot(threshold, precision[:-1],\"b--\",label =\"Precision\") \n", " plt.plot(threshold, recall[:-1],\"g-\",label =\"Recall\") \n", " plt.xlabel(\"Threshold\") \n", " plt.legend(loc =\"upper left\") \n", " plt.ylim([0,1]) \n", "plot_precision_recall_vs_threshold(precision,recall,threshold) \n", "plt.xlim([-700000, 700000])\n", "plt.figure(figsize=(8, 4))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ True, True, True, ..., False, True, False], dtype=bool)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_train_pred == (y_scores > 0).all()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y_train_pred_90 = (y_scores > 70000)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.87654898293196171" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "precision_score(y_train_5,y_train_pred_90[:,1])" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.69156982106622389" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "recall_score(y_train_5, y_train_pred_90[:,1])" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.79121079504011671" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "precision_score(y_train_5, y_train_pred)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.80040582918280756" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "recall_score(y_train_5, y_train_pred)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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vFFPLQGcIliRJaiALF5a3l1++mDoGOkOwJElSAxkypOM2F8+oPkOwJElSg2kf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\nJ/PmzWP69OlFl6E68X43F+93c/F+N48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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_precision_vs_recall(precision, recall):\n", " plt.plot(recall, precision, \"b-\", linewidth=2)\n", " plt.xlabel(\"Recall\", fontsize=16)\n", " plt.ylabel(\"Precision\", fontsize=16)\n", " plt.axis([0, 1, 0, 1])\n", "\n", "plt.figure(figsize=(8, 6))\n", "plot_precision_vs_recall(precision, recall)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.metrics import roc_curve\n", "\n", "fpr, tpr, threshold = roc_curve(y_train_5, y_scores[:,1])" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_roc_curve(fpr, tpr, label=None):\n", " plt.plot(fpr, tpr,'r-', linewidth=5,label=label)\n", " plt.plot([0,1],[0,1],'k--') #나중에 auc설명하기 위해서..(Area Under a ROC Curve)\n", " plt.axis([0,1,0,1])\n", " plt.xlabel(\"FPR\")\n", " plt.ylabel(\"TRP\")\n", "\n", "plot_roc_curve(fpr,tpr)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.96325962201880166" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.metrics import roc_auc_score\n", "\n", "roc_auc_score(y_train_5, y_scores[:,1])" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "SGDClassifier(alpha=0.0001, average=False, class_weight=None, epsilon=0.1,\n", " eta0=0.0, fit_intercept=True, l1_ratio=0.15,\n", " learning_rate='optimal', loss='hinge', max_iter=5, n_iter=None,\n", " n_jobs=1, penalty='l2', power_t=0.5, random_state=42, shuffle=True,\n", " tol=None, verbose=0, warm_start=False)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sgd_clf.fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 5.])" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sgd_clf.predict([some_digit])" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-311653.8128261 -555423.08729117 -367320.03447974 -231500.58597371\n", " -400154.71612146 119859.50054944 -659124.10102537 -331068.45795701\n", " -701029.58045205 -681976.21088448]]\n" ] } ], "source": [ "some_digit_scores = sgd_clf.decision_function([some_digit])\n", "print(some_digit_scores)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\workrent\\Anaconda3\\lib\\site-packages\\sklearn\\linear_model\\stochastic_gradient.py:84: FutureWarning: max_iter and tol parameters have been added in in 0.19. If both are left unset, they default to max_iter=5 and tol=None. If tol is not None, max_iter defaults to max_iter=1000. From 0.21, default max_iter will be 1000, and default tol will be 1e-3.\n", " \"and default tol will be 1e-3.\" % type(self), FutureWarning)\n" ] } ], "source": [ "from sklearn.multiclass import OneVsOneClassifier\n", "ovo_clf = OneVsOneClassifier(SGDClassifier(random_state=42))" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 5.])" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ovo_clf.fit(X_train, y_train)\n", "ovo_clf.predict([some_digit])" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "45" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#앞서 말한대로 0부터 9까지 OvO 분류기는 45개이다...\n", "len(ovo_clf.estimators_)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 0.86357728, 0.86414321, 0.83822573])" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cross_val_score(sgd_clf, X_train, y_train, cv=3, scoring=\"accuracy\")" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\workrent\\Anaconda3\\lib\\site-packages\\sklearn\\utils\\validation.py:444: DataConversionWarning: Data with input dtype uint8 was converted to float64 by StandardScaler.\n", " warnings.warn(msg, DataConversionWarning)\n" ] } ], "source": [ "from sklearn.preprocessing import StandardScaler\n", "scaler = StandardScaler()\n", "X_train_scaled = scaler.fit_transform(X_train)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 0.91041792, 0.90834542, 0.91033655])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cross_val_score(sgd_clf, X_train_scaled, y_train, cv=3, scoring=\"accuracy\")" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[5739 2 26 11 12 45 39 10 36 3]\n", " [ 1 6498 43 28 5 39 6 10 97 15]\n", " [ 61 35 5339 102 83 20 87 57 161 13]\n", " [ 52 43 127 5358 2 230 37 58 131 93]\n", " [ 20 30 44 8 5361 10 50 32 68 219]\n", " [ 75 43 37 187 74 4623 106 27 153 96]\n", " [ 37 28 51 2 44 98 5607 10 41 0]\n", " [ 25 22 78 29 51 11 4 5805 12 228]\n", " [ 50 166 71 164 15 167 54 30 4993 141]\n", " [ 44 34 33 88 172 36 2 207 74 5259]]\n" ] } ], "source": [ "y_train_pred = cross_val_predict(sgd_clf, X_train_scaled, y_train, cv=3)\n", "conf_mx = confusion_matrix(y_train, y_train_pred)\n", "print(conf_mx)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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oYC8DNgGX0zsHezpwe0S8kpl3D3s4SRpngwb2ZuAbmfnD/ufPRMQpwLXAEQP7bnsottgj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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.matshow(conf_mx, cmap=\"gist_gray\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#차원은 유지시키되, axis=1은 colume\n", "#그냥 행의 값들을 다 더한다고 생각하면 됨\n", "row_sums = conf_mx.sum(axis=1, keepdims=True) \n", "#기존의 confusion matrix의 각 값들을 행의 총 합으로 나눈다.\n", "norm_conf_mx = conf_mx / row_sums" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#대각선의 값들을 0으로 채운다.\n", "np.fill_diagonal(norm_conf_mx,0)\n", "\n", "plt.matshow(norm_conf_mx, cmap=\"gist_gray\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def plot_digits(instances, images_per_row=10, **options):\n", " size = 28\n", " images_per_row = min(len(instances), images_per_row)\n", " images = [instance.reshape(size,size) for instance in instances]\n", " n_rows = (len(instances) - 1) // images_per_row + 1\n", " row_images = []\n", " n_empty = n_rows * images_per_row - len(instances)\n", " images.append(np.zeros((size, size * n_empty)))\n", " for row in range(n_rows):\n", " rimages = images[row * images_per_row : (row + 1) * images_per_row]\n", " row_images.append(np.concatenate(rimages, axis=1))\n", " image = np.concatenate(row_images, axis=0)\n", " plt.imshow(image, cmap = matplotlib.cm.binary, **options)\n", " plt.axis(\"off\")" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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yRVTio8MfldCFQiGsVisr/b0KypYlk0mUSiUWyNXrdaRSKXg8nksvSVMQRbrGo6Mj7O7u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\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OJ0+e4MGDB1hZWeGWCkEkEnHl7TLyPz9FUNKzsrKCJ0+e8L2n1+vxzTff4Ntvvz3WAvuU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RQKoVQqgcvlotls9gzMDQPQCwQ58NRqNebm5sBkMjExMYFwOHzq9zebTQQCAYTDYeRyOTo1SHTw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\n2rMUWLcan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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cl_a, cl_b = 3, 5\n", "X_aa = X_train[(y_train == cl_a) & (y_train_pred == cl_a)]\n", "X_ab = X_train[(y_train == cl_a) & (y_train_pred == cl_b)]\n", "X_ba = X_train[(y_train == cl_b) & (y_train_pred == cl_a)]\n", "X_bb = X_train[(y_train == cl_b) & (y_train_pred == cl_b)]\n", "\n", "plt.figure(figsize=(8,8))\n", "plt.subplot(221); plot_digits(X_aa[:25], images_per_row=5)\n", "plt.subplot(222); plot_digits(X_ab[:25], images_per_row=5)\n", "plt.subplot(223); plot_digits(X_ba[:25], images_per_row=5)\n", "plt.subplot(224); plot_digits(X_bb[:25], images_per_row=5)\n", "\n", "plt.show() \n" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n", " metric_params=None, n_jobs=1, n_neighbors=5, p=2,\n", " weights='uniform')" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.neighbors import KNeighborsClassifier\n", "\n", "y_train_large = (y_train >= 7)\n", "y_train_odd = (y_train %2 == 1)\n", "y_multilabel = np.c_[y_train_large, y_train_odd]\n", "'''\n", "Translates slice objects to concatenation along the second axis.\n", "Examples\n", "--------\n", ">>> np.c_[np.array([[1,2,3]]), 0, 0, np.array([[4,5,6]])]\n", "array([[1, 2, 3, 0, 0, 4, 5, 6]])\n", "'''\n", "\n", "knn_clf = KNeighborsClassifier()\n", "knn_clf.fit(X_train, y_multilabel)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([False, False, False, ..., True, False, False], dtype=bool)" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_train_large" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([False, False, True, ..., False, True, True], dtype=bool)" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_train_odd" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[False, False],\n", " [False, False],\n", " [False, True],\n", " ..., \n", " [ True, False],\n", " [False, True],\n", " [False, True]], dtype=bool)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_multilabel" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[False, True]], dtype=bool)" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "knn_clf.predict([some_digit])" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#오래 걸린다\n", "y_train_knn_pred = cross_val_predict(knn_clf, X_train, y_train, cv=3)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.96821246802023475" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f1_score(y_train, y_train_knn_pred, average=\"macro\")" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true }, "outputs": [], "source": [ "noise = np.random.randint(0, 100, (len( X_train), 784)) \n", "X_train_mod = X_train + noise \n", "noise = np.random.randint(0, 100, (len( X_test), 784)) \n", "X_test_mod = X_test + noise \n", "y_train_mod = X_train \n", "y_test_mod = X_test" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def plot_digit(data):\n", " image = data.reshape(28, 28)\n", " plt.imshow(image, cmap = \"gist_gray\")\n", " plt.axis(\"off\")" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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bxSzRZx2zpQgpAZmKArb6eDliWq0rBummeY2uxv+5HAzW2VF9yXgWBSy1WFn0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "some_index = 5500\n", "plt.subplot(121); plot_digit(X_test_mod[some_index])\n", "plt.subplot(122); plot_digit(y_test_mod[some_index])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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OSHXjwnGz2SSjzygSvRRRzjp1rU7EfumeCVgd59/U/JubJCxEglROGJtTRnuQ+XTEZ6+O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\njoKjXCj/LCJMTgU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6hYSRctjv90UKgdMXu92uqP1F/pdL0BaLRWkxBgs4ioAVBYu6SMIt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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "knn_clf.fit(X_train_mod, y_train_mod) \n", "clean_digit = knn_clf.predict([X_test_mod[some_index]]) \n", "plot_digit(clean_digit)\n", "plt.show()" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }