{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\ivypa\\Anaconda3\\lib\\site-packages\\pandas\\computation\\__init__.py:19: UserWarning: The installed version of numexpr 2.4.4 is not supported in pandas and will be not be used\n", "\n", " UserWarning)\n" ] } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from scipy import stats\n", "import seaborn as sns\n", "sns.set()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Random Forest" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Данные в [файле](http://www.machinelearning.ru/wiki/images/3/32/Titanic.zip)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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PassengerIdSurvivedPclassNameSexAgeSibSpParchTicketFareCabinEmbarked
0103Braund, Mr. Owen Harrismale22.010A/5 211717.2500NaNS
1211Cumings, Mrs. John Bradley (Florence Briggs Th...female38.010PC 1759971.2833C85C
2313Heikkinen, Miss. Lainafemale26.000STON/O2. 31012827.9250NaNS
3411Futrelle, Mrs. Jacques Heath (Lily May Peel)female35.01011380353.1000C123S
4503Allen, Mr. William Henrymale35.0003734508.0500NaNS
\n", "
" ], "text/plain": [ " PassengerId Survived Pclass \\\n", "0 1 0 3 \n", "1 2 1 1 \n", "2 3 1 3 \n", "3 4 1 1 \n", "4 5 0 3 \n", "\n", " Name Sex Age SibSp \\\n", "0 Braund, Mr. Owen Harris male 22.0 1 \n", "1 Cumings, Mrs. John Bradley (Florence Briggs Th... female 38.0 1 \n", "2 Heikkinen, Miss. Laina female 26.0 0 \n", "3 Futrelle, Mrs. Jacques Heath (Lily May Peel) female 35.0 1 \n", "4 Allen, Mr. William Henry male 35.0 0 \n", "\n", " Parch Ticket Fare Cabin Embarked \n", "0 0 A/5 21171 7.2500 NaN S \n", "1 0 PC 17599 71.2833 C85 C \n", "2 0 STON/O2. 3101282 7.9250 NaN S \n", "3 0 113803 53.1000 C123 S \n", "4 0 373450 8.0500 NaN S " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "titanic = pd.read_csv('train.csv')\n", "titanic.head()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(891, 12)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "titanic.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Выберем признаки для анализа:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "feature_names = [\"Sex\", \"Age\", \"SibSp\", 'Pclass', 'Parch', 'Fare']\n", "\n", "target = titanic[\"Survived\"].copy()\n", "data = titanic[feature_names].copy()\n", "data[\"Age\"].fillna(data[\"Age\"].mean(), inplace=True)\n", "data[\"Sex\"] = list(map(int, data[\"Sex\"] == 'male'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "700 первых в трейн, 191 последних в тест.\n", "\n", "Обучим обычное дерево:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.81675392670157065" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.tree import DecisionTreeClassifier\n", "clf = DecisionTreeClassifier(max_depth=15)\n", "clf.fit(data[:700], target[:700])\n", "np.mean(target[700:]==clf.predict(data[700:]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "RandomForest ([Документация](http://scikit-learn.org/stable/modules/generated/sklearn.ensemble.RandomForestClassifier.html)):" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.8534031413612565" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.ensemble import RandomForestClassifier\n", "\n", "rf = RandomForestClassifier(n_estimators=1000, n_jobs=-1, max_depth=30, \n", " oob_score=True)\n", "rf.fit(data.iloc[:700], target.iloc[:700])\n", "np.mean(target.iloc[700:] == rf.predict(data.iloc[700:]))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.80571428571428572" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rf.oob_score_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Чем больше деревьев, тем лучше.\n", "\n", "Всегда стоит указывать n_jobs=-1, тогда обучаться будет быстрее.\n", "\n", "А вот глубина и количество признаков — это уже натсраиваемый параметр." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "RF позволяет определять важности признаков:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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o0aJFeuqpp5SamqpBgwbpwgsvDP1w3YmPRG1tbVUgENB5550Xk2M7HYYNG6aP\nP/5YF110kdasWaO0tDQ5HA4ZY/Twww/rhhtuUFZWljZu3KhNmzbp2LFj+uMf/6iVK1dKkiZPnqzr\nr79eL7zwgkpLS+V2u1VUVKS//e1vuvzyy2N8dNF39913q6amRomJiVq8eHHo+w6HI/R1d2v65X3i\n1ZdflG3atEnnnHOOli1bpr1792rdunWhbSdOrkaNGqUJEyZo2bJlMsaooqJCF1100Wmd9+lwxsU5\nOztbe/bsUW5urpKSktTV1aU77rhDF1xwgRYtWqTOzk45nU6VlZWpsrJSXq9Xs2fP1sCBA7V06VKt\nWrUq1odw2mzYsEHLly8P3R4wYIB+/OMf67zzztPSpUuVmJiohIQEDR8+XGPGjNGVV16pWbNmKRgM\nKiMjQ8OHD4/h7PvGyY+fxMREGWN0xx136Kmnngrts2/fPt144406duyYSktLlZCQoIcfflh33XWX\nOjs75XA49O1vf1szZ87USy+9pNbWVs2dO1d+v18lJSVx/aS6bNkyLVmyRE6nU8OGDdPcuXNVWVkp\nh8OhnJwc3XfffXr88cc1fPhwHTx4UAkJCTrnnHN0ww03qH///srKytIFF1yg9PR0zZ49W0lJSTr/\n/PP1ne98J9aH1iemTZum2bNnKzExUUOHDtWBAwcknRrentb0bPDl/ysTJ07UggULVFdXp4SEBKWm\npobW7IRrr71WO3bs0M9//nN1dHToRz/6kRITE0/ntE8L/rb2WeiZZ57R5MmTde655+qhhx6S2+3m\n1xe+pk2bNumjjz7S7bffHuupAIgjZ9yZM765oUOHat68eUpMTFRycrLuu+++WE8JAHASzpwBALDM\n2fXjywAAnAGIMwAAliHOAABYhjgDAGAZ4gwAgGX+Dwibe/oIUK2CAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "importance = rf.feature_importances_\n", "idx = np.arange(importance.size)\n", "width = 0.5\n", "p1 = plt.bar(idx, rf.feature_importances_, width, color='g')\n", "plt.xticks(idx+width/2, (\"Sex\", \"Age\", \"SibSp\", 'Pclass', 'Parch', 'Fare'))[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Удалим наименее важные признаки:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.86387434554973819" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "feature_names = [\"Sex\", \"Age\", 'Pclass', 'Fare']\n", "\n", "target = titanic[\"Survived\"].copy()\n", "data = titanic[feature_names].copy()\n", "data[\"Age\"].fillna(data[\"Age\"].mean(), inplace=True)\n", "data[\"Sex\"] = list(map(int, data[\"Sex\"] == 'male'))\n", "\n", "clf = RandomForestClassifier(1000, max_depth=10)\n", "clf.fit(data.iloc[:700], target.iloc[:700])\n", "np.mean(target.iloc[700:]==clf.predict(data.iloc[700:]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Качество улучшилось!" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wDHEGAMAyjnE2xqiurk6VlZWqqanR3//+9w/tMzIyolWrVunNN9+c8hgAAHB2Pqcd2tra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\nrlH+xHGmXiwAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "importance = clf.feature_importances_\n", "idx = np.arange(importance.size)\n", "width = 0.5\n", "p1 = plt.bar(idx, clf.feature_importances_, width, color='g')\n", "plt.xticks(idx+width/2, (\"Sex\", \"Age\", 'Pclass', 'Parch', 'Fare'))[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "А что, если бы мы добавили ответ в качестве признака?" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "feature_names = [\"Sex\", \"Age\", \"SibSp\", 'Pclass', 'Parch', 'Fare', \"Survived\"]\n", "\n", "target = titanic[\"Survived\"].copy()\n", "data = titanic[feature_names].copy()\n", "data[\"Age\"].fillna(data[\"Age\"].mean(), inplace=True)\n", "data[\"Sex\"] = list(map(int, data[\"Sex\"] == 'male'))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rf = RandomForestClassifier(1000, max_depth=10, oob_score=True)\n", "rf.fit(data.iloc[:700], target.iloc[:700])\n", "np.mean(target.iloc[700:]==rf.predict(data.iloc[700:]))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rf.oob_score_" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "importance = rf.feature_importances_\n", "idx = np.arange(importance.size)\n", "width = 0.5\n", "p1 = plt.bar(idx, rf.feature_importances_, width, color='g')\n", "plt.xticks(idx+width/2, (\"Sex\", \"Age\", \"SibSp\", 'Pclass', 'Parch', 'Fare', 'Survived'))[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Отбор признаков работает! :)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Метод главных компонент (PCA)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Сгенерируем двумерную выборку:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-3.0, 3.0, -1.0, 1.0)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(1)\n", "X = np.dot(np.random.random(size=(2, 2)), np.random.normal(size=(2, 200))).T\n", "plt.plot(X[:, 0], X[:, 1], 'og')\n", "plt.axis('equal')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.75871884 0.01838551]\n", "[[ 0.94446029 0.32862557]\n", " [ 0.32862557 -0.94446029]]\n" ] } ], "source": [ "from sklearn.decomposition import PCA\n", "\n", "pca = PCA(n_components=2)\n", "pca.fit(X)\n", "print(pca.explained_variance_)\n", "print(pca.components_)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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EBecnqNHXoFJbCZkzAqk8CpOuHCP+EahVsf81JYhCpoxgXeMqmI2GjJ9lUBqw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\n+HIni9aCYe8QfBEf/OEAVDI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HPxj3OnH3JSIiIhFx5gYREZGIGMREREQiYhATERGJiEFM\nREQkIgYxERGRiBjEREREImIQExERiYhBTEREJKL/D0ROKkzsabnqAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(X[:, 0], X[:, 1], 'og', alpha=0.3)\n", "for length, vector in zip(pca.explained_variance_, pca.components_):\n", " v = vector * 3 * np.sqrt(length)\n", " plt.plot([0, v[0]], [0, v[1]], '-k', lw=3)\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Заметим, что одна компонента очень важна, когда вторая — не очень. Можно предположить, что вторая главная компонента может быть опущена без большой потери информации. Давайте посмотрим, что будет, если мы будем объяснять только 95% дисперсии:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(200, 2)\n", "(200, 1)\n" ] } ], "source": [ "clf = PCA(0.95)\n", "X_trans = clf.fit_transform(X)\n", "print(X.shape)\n", "print(X_trans.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Мы не объясняем всего 5% дисперсии, но сжали данные в два раза. Давайте посмотрим на то, что получилось после сжатия:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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WMIM/KWhzDS9DG3+fTHmdz1iJNdEtWGJcioULY3jzuB3dMtE+p1Oivl79b/78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\nl3vr00Qq/YaKiKYfg3iGqpQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X_new = clf.inverse_transform(X_trans)\n", "plt.plot(X[:, 0], X[:, 1], 'ob', alpha=0.2)\n", "plt.plot(X_new[:, 0], X_new[:, 1], 'og', alpha=0.8)\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Синие точки — исходные данные, а зелёные — после проекции и обратного преобразования." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Применим PCA к цифрам" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Одно из преимуществ PCA в том, что он позволяет визуализировать данные большой размерности:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "X = digits.data\n", "y = digits.target" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1797, 64)\n", "(1797, 2)\n" ] } ], "source": [ "pca = PCA(2) # project from 64 to 2 dimensions\n", "Xproj = pca.fit_transform(X)\n", "print(X.shape)\n", "print(Xproj.shape)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Nq/sgfeC9UdkF4z+FwIXUMpjOcc6SnSzo20K/kSK3uBPiEdxGhagQxCwTXWsl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z+kv3iGDfH1HM4fZdqcYdqcYY1chS40Ritj5KwcHeF2kkbyql9XSoktbaJ6lIc6vkhDQ4w/2vcf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sNifd3V4MDOxW5zGzHveLw+XdzMJMp+jArbipE7XUGAfYE95LuimTRdotaEq0/mW0kaxAiOhs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\nT0FqK5oWLYOmKAqZmdk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(Xproj[:, 0], Xproj[:, 1], c=y, edgecolor='none', alpha=0.5,\n", " cmap=plt.cm.get_cmap('nipy_spectral', 10))\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Давайте посмотрим, сколько информации мы теряем:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pca = PCA().fit(X)\n", "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n", "plt.xlabel('number of components')\n", "plt.ylabel('cumulative explained variance');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Мы видим, что двухмерная проекция теряет слишком много информации, но вот проекция на 39-мерное пространство сохраняет почти всю информацию.\n", "\n", "Посмотрим теперь на то, как выглядят цифры при различных $n$:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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/myWqs2aVrkyCV0dh0ggFuxAlL6a23g7O95SyZJ3uisLpIk3xAvUsZdfvxbDx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\nfHnRl2HCrEvXtLToR6e41YNH5fmP9HuUOqANC2ieiM9r9uZ78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ozVoutGmlM0xxUUz26Q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8kUhE8Z0++3QUi0XMMmfh8EmHY+PARoTMEDYNbMIpU04ZVbIowygbLYvA3m3GTl8nZoZnYt/o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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(8, 8, figsize=(8, 8))\n", "fig.subplots_adjust(hspace=0.1, wspace=0.1)\n", "\n", "for i, ax in enumerate(axes.flat):\n", " pca = PCA(i + 1).fit(X)\n", " im = pca.inverse_transform(pca.transform(X[120:121]))\n", "\n", " ax.imshow(im.reshape((8, 8)), cmap='binary')\n", " ax.text(0.95, 0.05, 'n = {0}'.format(i + 1), ha='right',\n", " transform=ax.transAxes, color='green')\n", " ax.set_xticks([])\n", " ax.set_yticks([])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "А теперь интерактивчик:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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8fKCaw9VF6QPgbpsotJpzaxwt+A4ODiKTyYS2DekrRcfGy95Hs2rdqEWv80Lw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\nliLR79isqNcCry58UrUKEpp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rGeica2u3ouxbq3vxMXfqQCnToc83KvKNxcJbXzmmZk5k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svD72de8CRznpubK/vdc1AUfNskR9V54nqPj/F6I95Se0lVEDwYvTF9EFkCjXu+TcDLA9Yy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.html.widgets import interact\n", "\n", "def plot_digits(n_components):\n", " plt.figure(figsize=(8, 8))\n", " nside = 10\n", " \n", " pca = PCA(n_components).fit(X)\n", " Xproj = pca.inverse_transform(pca.transform(X[:nside ** 2]))\n", " Xproj = np.reshape(Xproj, (nside, nside, 8, 8))\n", " total_var = pca.explained_variance_ratio_.sum()\n", " \n", " im = np.vstack([np.hstack([Xproj[i, j] for j in range(nside)])\n", " for i in range(nside)])\n", " plt.imshow(im)\n", " plt.grid(False)\n", " plt.title(\"n = {0}, variance = {1:.2f}\".format(n_components, total_var),\n", " size=18)\n", " plt.clim(0, 16)\n", " \n", "interact(plot_digits, n_components=[1, 64], nside=[1, 8]);" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }