{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"DataVisualize.ipynb","provenance":[],"collapsed_sections":[]},"kernelspec":{"name":"python3","display_name":"Python 3"}},"cells":[{"cell_type":"markdown","metadata":{"id":"nnAcIQTSnMVQ","colab_type":"text"},"source":["# Google Colabを使ってグラフで表示してみよう\n","Google Colabを使うの必要なのものは以下の2つです。\n","- Googleメールのアカウント\n","- Chrome等のブラウザーを使える機器\n","\n","準備ができたら、以下のURLにアクセスしてください。\n","```\n","https://colab.research.google.com/notebooks/welcome.ipynb?hl=ja\n","```"]},{"cell_type":"markdown","metadata":{"id":"7BQKyu1t5_Zx","colab_type":"text"},"source":["# 準備0\n","手書き風のプロットを使用するため、humor-sansフォントのインストールをします。\n","\n","以下のセルを実行後「ツール」メニューからカーネルの再起動を実行してから次の「ライブラリのインポート」以降を実行してください。"]},{"cell_type":"code","metadata":{"id":"VXjhrzx46YiA","colab_type":"code","colab":{}},"source":["!apt-get install fonts-humor-sans >/dev/null\n","!rm -rf /root/.cache/matplotlib/ >/dev/null"],"execution_count":0,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"C2Pb66o7ia_f","colab_type":"text"},"source":["## ライブラリのインポート\n","最初に、使用するライブラリをインポートします。\n","\n","- pandas: データフレームを扱うライブラリ\n","- numpy: 行列計算のライブラリ\n","- seaborn: きれいなグラフを作成するライブラリ\n","- matplotlib: Python用のプロットライブラリ\n","\n","matplotlibの出力を出力セルに埋め込むために、%matplotlib inlineを指定します。"]},{"cell_type":"code","metadata":{"id":"IX1DsmxFigRq","colab_type":"code","colab":{}},"source":["# python用のライブラリ\n","import pandas as pd\n","import numpy as np\n","import seaborn as sns\n","import matplotlib.pyplot as plt \n","%matplotlib inline"],"execution_count":0,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"wzw7BzT_T078","colab_type":"text"},"source":["# データの可視化\n","PandasとSeabornライブラリを使ってデータを可視化してみましょう。\n","\n","## データの準備\n","列(data)が1個だけのcsv(とは言えないませんが)ファイルを用意します。\n","\n","このデータは、「データ解析のための統計モデリング入門」の2章で使われている例題から引用しました。\n","\n","セルの最初の%%はマジックコードを意味し、その後のコマンドが実行されます。writefileコマンドは、セルの内容をファイルに出力します。テストデータを作ったり、ファイル単位の処理をする場合に重宝します。\n","```\n","%%writefile 出力先ファイル名\n","```\n"]},{"cell_type":"code","metadata":{"id":"AEavmQXqT7OV","colab_type":"code","outputId":"67bd5c7c-e292-4ef2-a84e-16d71cce074b","executionInfo":{"status":"ok","timestamp":1576299803155,"user_tz":-540,"elapsed":628,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":34}},"source":["%%writefile data.csv\n","data\n","2\n","2\n","4\n","6\n","4\n","5\n","2\n","3\n","1\n","2\n","0\n","4\n","3\n","3\n","3\n","3\n","4\n","2\n","7\n","2\n","4\n","3\n","3\n","3\n","4\n","3\n","7\n","5\n","3\n","1\n","7\n","6\n","4\n","6\n","5\n","2\n","4\n","7\n","2\n","2\n","6\n","2\n","4\n","5\n","4\n","5\n","1\n","3\n","2\n","3"],"execution_count":0,"outputs":[{"output_type":"stream","text":["Overwriting data.csv\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"VtEmcE8XjkMn","colab_type":"text"},"source":["## データの素性を知る\n","pandasを使ってdata.csvのデータを読み込み、最初の5行分を出力し、describe関数を使ってデータの素性を確認します。\n","\n","1個の「data」カラムに、50個のデータがあり、最小0、最大7、平均3.56、標準偏差1.72のデータだと分かりました。"]},{"cell_type":"code","metadata":{"id":"DqY9p_fWi-qm","colab_type":"code","outputId":"c07b9fc5-b4eb-4d27-a7e5-7797fe607f4c","executionInfo":{"status":"ok","timestamp":1576299805016,"user_tz":-540,"elapsed":626,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":272}},"source":["d = pd.read_csv('data.csv')\n","# 最初の5個を出力\n","print(d.head())\n","# descirbe関数でデータの素性を出力\n","print(d.describe())"],"execution_count":0,"outputs":[{"output_type":"stream","text":[" data\n","0 2\n","1 2\n","2 4\n","3 6\n","4 4\n"," data\n","count 50.00000\n","mean 3.56000\n","std 1.72804\n","min 0.00000\n","25% 2.00000\n","50% 3.00000\n","75% 4.75000\n","max 7.00000\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"voqxCE5hOpuA","colab_type":"text"},"source":["データフレームdの「data」カラムのデータの分布をヒストグラムで表示してみます。\n","\n","pandasには、基本的なグラフの描画機能が備わっているので、データフレームに.hist()のメソッドを送るだけでヒストグラムが表示されます。\n","plt.show()はグラフの表示するコマンドですが、最初にinline表示指定をしているので、指定しなくてもグラフは表示されます。"]},{"cell_type":"code","metadata":{"id":"igjQJTLJkMK8","colab_type":"code","outputId":"5a3b5159-acff-44c2-fcba-11004ca65389","executionInfo":{"status":"ok","timestamp":1576299806791,"user_tz":-540,"elapsed":555,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":265}},"source":["d['data'].hist(bins=8)\n","plt.show()"],"execution_count":0,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXAAAAD4CAYAAAD1jb0+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nG9b2+4ZI4sYAAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"wweVXMt-Rb7u","colab_type":"text"},"source":["pandasのグラフは、簡素で見た目のさびしいので、Seabornの装飾機能を使って出力きれいにします。\n","\n","Seabornの装飾機能を利用するには、sns.set()を呼び出すだけです。"]},{"cell_type":"code","metadata":{"id":"pNz-woMikSkr","colab_type":"code","outputId":"c1e09b43-c92b-46e7-e67d-c71f79d8b3eb","executionInfo":{"status":"ok","timestamp":1576299808787,"user_tz":-540,"elapsed":843,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":268}},"source":["param = sns.set()\n","d['data'].hist(bins=8)\n","plt.show()"],"execution_count":0,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXQAAAD7CAYAAAB68m/qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhiDoAGAIgg4AhiDoAGAIgg4AhvhfhDH0jVsYFwYAAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"sre6qL0ZSGwI","colab_type":"text"},"source":["ちょっと脱線しますが、matplotlibの装飾機能には、手書き風のグラフを出力するxkcdがあります。\n","\n","一度plt.xkcd()を呼び出すと後のグラフがすべて手書き風になってしまうので、with plt.xkcd()の範囲だけ手書き風に出力するようにしています。\n"]},{"cell_type":"code","metadata":{"id":"CijDggIrx-mL","colab_type":"code","outputId":"4f3ba6e8-3fcd-410c-d298-d6f66105dc1a","executionInfo":{"status":"ok","timestamp":1576299810884,"user_tz":-540,"elapsed":874,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":268}},"source":["with plt.xkcd():\n"," d['data'].hist(bins=8)\n"," plt.show()"],"execution_count":0,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXIAAAD7CAYAAAB37B+tAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n3ghBqT7aAAAAAElFTkSuQmCC\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"tr0ky2rnTB6C","colab_type":"text"},"source":["Pandasは、データの加工や様々な集計機能を備えています。\n","\n","ヒストグラムの表示使った頻度をvalue_countsメソッドを使って計算します。"]},{"cell_type":"code","metadata":{"id":"sBDC4tAyASNX","colab_type":"code","outputId":"a667789a-17af-4f83-96bb-35fb246eaea2","executionInfo":{"status":"ok","timestamp":1576299813006,"user_tz":-540,"elapsed":671,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":119}},"source":["# 頻度を計算\n","histgram = pd.value_counts(d['data'])\n","histgram.head()"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/plain":["3 12\n","2 11\n","4 10\n","5 5\n","7 4\n","Name: data, dtype: int64"]},"metadata":{"tags":[]},"execution_count":7}]},{"cell_type":"markdown","metadata":{"id":"BusEaS1hTfWA","colab_type":"text"},"source":["頻度分布を円グラフに表示するには、plotメソッドのサブ機能pieを使用します。\n","\n","plotメソッドにどのようなサブ機能があるのか知るには、plotの後ろに?をつけて実行するとヘルプ画面表示されます。\n"]},{"cell_type":"code","metadata":{"id":"cwV20uEDUa56","colab_type":"code","colab":{}},"source":["histgram.plot?"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"69HUYeHkBvwj","colab_type":"code","outputId":"d215c57a-f580-4b6e-816f-9322ece74136","executionInfo":{"status":"ok","timestamp":1576299819975,"user_tz":-540,"elapsed":698,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":248}},"source":["with plt.xkcd():\n"," histgram.plot.pie(y='data')\n"," plt.show()"],"execution_count":0,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAPYAAADnCAYAAAAtmKv2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n0fXkB0mIAAAAAElFTkSuQmCC\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"xSFDOmFCVfIY","colab_type":"text"},"source":["### データの保存とダウンロード\n","pandasで計算した結果は、CSV, Excel, sqliteのデータベースに保存することができます。\n","\n","以下の例では、histgramの頻度計算結果をhistgram.xlsxに保存し、PCにダウンロードします。\n","Google Colabではセッションが切れてしまうと、ノートブック以外のファイルは削除されてしまうため、Googleドライブに保存するか、PCにダウンロードします。"]},{"cell_type":"code","metadata":{"id":"2th04hF4Mn_V","colab_type":"code","colab":{}},"source":["# データフレームdをExcel形式で出力\n","histgram.to_excel('histgram.xlsx')\n","# ダウンロード\n","try:\n"," from google.colab import files\n","except ImportError:\n"," pass\n","else:\n"," files.download('histgram.xlsx')"],"execution_count":0,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"3eiDMA4JVl5S","colab_type":"text"},"source":["## より高度なグラフ表示\n","Seabornには、とてもすばらしいグラフ機能があります。\n","\n","例として、irisデータを使います。irisデータは機械学習では有名なデータで、3種類のアヤメ(setosa, versicolor, virginica)の花びらとがくの長さと幅をそれぞれ50個収集したものです。\n","\n","データのダウンロードには、機械学習の代表的なライブラリScikt learnを使用します。\n","データフレームには、デフォルトでは数値データしか入らないので、アヤメの種類を保持したtargetを別途species列にセットしています。\n","\n","データフレームを種としたら、headとdescribeでデータの素性を調べます。\n","\n"]},{"cell_type":"code","metadata":{"id":"oPbTL8CZ5rf9","colab_type":"code","outputId":"e6d095ed-dd2c-4052-aa25-68a2835efa10","executionInfo":{"status":"ok","timestamp":1576299830815,"user_tz":-540,"elapsed":583,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":204}},"source":["from sklearn import datasets\n","\n","# irisのデータセットを読み込み、pandasのデータフレームを作成\n","iris = datasets.load_iris()\n","df = pd.DataFrame(iris.data, columns=iris.feature_names)\n","df['species'] = iris.target_names[iris.target]\n","df.head()"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/html":["
\n","\n","\n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n","
sepal length (cm)sepal width (cm)petal length (cm)petal width (cm)species
05.13.51.40.2setosa
14.93.01.40.2setosa
24.73.21.30.2setosa
34.63.11.50.2setosa
45.03.61.40.2setosa
\n","
"],"text/plain":[" sepal length (cm) sepal width (cm) ... petal width (cm) species\n","0 5.1 3.5 ... 0.2 setosa\n","1 4.9 3.0 ... 0.2 setosa\n","2 4.7 3.2 ... 0.2 setosa\n","3 4.6 3.1 ... 0.2 setosa\n","4 5.0 3.6 ... 0.2 setosa\n","\n","[5 rows x 5 columns]"]},"metadata":{"tags":[]},"execution_count":11}]},{"cell_type":"code","metadata":{"id":"pwY3DTgu-0MG","colab_type":"code","outputId":"14be7330-130d-4cbd-b53f-512ad93992a9","executionInfo":{"status":"ok","timestamp":1576299834080,"user_tz":-540,"elapsed":612,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":297}},"source":["df.describe()"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/html":["
\n","\n","\n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n","
sepal length (cm)sepal width (cm)petal length (cm)petal width (cm)
count150.000000150.000000150.000000150.000000
mean5.8433333.0573333.7580001.199333
std0.8280660.4358661.7652980.762238
min4.3000002.0000001.0000000.100000
25%5.1000002.8000001.6000000.300000
50%5.8000003.0000004.3500001.300000
75%6.4000003.3000005.1000001.800000
max7.9000004.4000006.9000002.500000
\n","
"],"text/plain":[" sepal length (cm) sepal width (cm) petal length (cm) petal width (cm)\n","count 150.000000 150.000000 150.000000 150.000000\n","mean 5.843333 3.057333 3.758000 1.199333\n","std 0.828066 0.435866 1.765298 0.762238\n","min 4.300000 2.000000 1.000000 0.100000\n","25% 5.100000 2.800000 1.600000 0.300000\n","50% 5.800000 3.000000 4.350000 1.300000\n","75% 6.400000 3.300000 5.100000 1.800000\n","max 7.900000 4.400000 6.900000 2.500000"]},"metadata":{"tags":[]},"execution_count":12}]},{"cell_type":"markdown","metadata":{"id":"qKQIoy9_YhXa","colab_type":"text"},"source":["### データを関連性を知る\n","Seabornのpairplotはとても強力です。データフレームをpairplot関数に渡すだけ(グラフが大きくなるので、height=2を追加)です。\n","\n","pairplotでは、データフレーム毎の散布図と対角軸には、頻度分布が表示されます。"]},{"cell_type":"code","metadata":{"id":"1sgRJb5x8a16","colab_type":"code","outputId":"e1969b99-fa73-406e-e0db-dab6351b06e1","executionInfo":{"status":"ok","timestamp":1576299841438,"user_tz":-540,"elapsed":5827,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":575}},"source":["sns.pairplot(df, height=2)\n","plt.show()"],"execution_count":0,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAhoAAAIuCAYAAAD5UqGdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"8VG_uVrYZjfc","colab_type":"text"},"source":["Seabornでは、プロット関数にhue=カテゴリの列を指定することで、カテゴリ別に色分けしたグラフが表示されます。対角軸にはカテゴリの密度分布に替わります。\n","\n","これで、どのデータが識別に有効か分かります。\n"]},{"cell_type":"code","metadata":{"id":"qkJnOX6b-dCc","colab_type":"code","outputId":"88e79f91-e6f4-4ddf-83c4-ca1be19ede17","executionInfo":{"status":"ok","timestamp":1576299850636,"user_tz":-540,"elapsed":7606,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":575}},"source":["sns.pairplot(df, height=2, hue='species')\n","plt.show()"],"execution_count":0,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAn4AAAIuCAYAAAAhXgWXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"bdX2KCGUa7-d","colab_type":"text"},"source":["Seabornのグラフ機能の変わったところでは、箱ひげ図があります。\n","データの最大、最小と平均値を線で表示し、平均の上下四分位点を箱で囲みます。"]},{"cell_type":"code","metadata":{"id":"Wr_DlZYV9xal","colab_type":"code","outputId":"b07d6248-3901-4c64-c6af-af778355286b","executionInfo":{"status":"ok","timestamp":1576299852740,"user_tz":-540,"elapsed":589,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":287}},"source":["# 箱ひげ図\n","sns.boxplot(x='species', y='sepal width (cm)', data=df)\n","plt.show()"],"execution_count":0,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAYkAAAEOCAYAAAB8aOvdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wG/suXzHhcTWwAAAABJRU5ErkJggg==\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"DXjv1Y9Nb-Li","colab_type":"text"},"source":["散布と一緒に回帰直線を表示するには、lmplot関数を使います。x軸とy軸のカラムを指定し、hueオプションでカテゴリを指定すると、以下のようにカテゴリ別の回帰直線が表示されます。\n","\n","一見、直線にきれいにのったデータに見えるのですが、カテゴリ別の回帰直線は結構ずれているのが分かります。"]},{"cell_type":"code","metadata":{"id":"SQebXutjEoTY","colab_type":"code","outputId":"33589ca7-704b-4f0c-dd00-7563f1ad3453","executionInfo":{"status":"ok","timestamp":1576299855861,"user_tz":-540,"elapsed":1897,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":365}},"source":["# species毎に回帰直線を求め、散布図に重ね合わせて表示\n","sns.lmplot(x='petal length (cm)', y='petal width (cm)', hue='species', data=df)\n","plt.show()"],"execution_count":0,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAbIAAAFcCAYAAACtPTvuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nisZGRkREivZfz5vs083K0nkAAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"Avh7d7MYo1lq","colab_type":"text"},"source":["## データの重ね合わせ\n","最初に、Seabornを使って密度コンター図に散布図を重ねてみます。\n","\n","irisの種(species)が\"setosa\"のデータフレームをsetosaに、\"virginica\"のデータフレームをverginicaにセットします。\n","Seabornの密度コンター図は、kdeplotを使用します。"]},{"cell_type":"code","metadata":{"id":"n8qKrt77ndo_","colab_type":"code","outputId":"3617300a-0d61-4b21-f7b9-f6b363f40656","executionInfo":{"status":"ok","timestamp":1576299858825,"user_tz":-540,"elapsed":1844,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":285}},"source":["#iris = sns.load_dataset(\"iris\")\n","setosa = df.loc[df['species'] == \"setosa\"]\n","virginica = df.loc[df['species'] == \"virginica\"]\n","ax = sns.kdeplot(setosa['sepal width (cm)'], setosa['sepal length (cm)'], cmap=\"Reds\", shade=True, shade_lowest=False)\n","sns.kdeplot(virginica['sepal width (cm)'], virginica['sepal length (cm)'], ax=ax, cmap=\"Blues\", shade=True, shade_lowest=False)\n","plt.show()"],"execution_count":0,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAX4AAAEMCAYAAADDMN02AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"olc-X_h_xnub","colab_type":"text"},"source":["同様にデータの散布図と密度コンター図を重ね合わせてみます。\n","このように簡単にデータの重ね合わせができます。"]},{"cell_type":"code","metadata":{"id":"15nVRCHCn_dK","colab_type":"code","outputId":"ed98995d-8a0e-4881-ecc9-d63980153421","executionInfo":{"status":"ok","timestamp":1576299861467,"user_tz":-540,"elapsed":1475,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":285}},"source":["ax = sns.kdeplot(setosa['sepal width (cm)'], setosa['sepal length (cm)'], cmap=\"Reds\", shade=True, shade_lowest=False)\n","sns.scatterplot(x=setosa['sepal width (cm)'], y=setosa['sepal length (cm)'], ax=ax)\n","plt.show()"],"execution_count":0,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAYkAAAEMCAYAAAAxoErWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncMcgBBkzhl0AAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"NQeJDa2neixA","colab_type":"text"},"source":["### Rとの連携\n","次ににPandsを使ったデータの重ね合わせの方法を紹介します。\n","\n","Rは統計計算では古株なので、PythonではできないがRでは計算できることがいくつかあります。\n","\n","先に紹介した「データ解析のための統計モデリング入門」のデータは、λ=3.56のポアソン分布に従うサンプルデータです。ポアソン分布は値が自然数(離散値)で平均と分散が同程度の場合に適応します。\n","\n","Rとの連携の例として、ポアソンの確率分布をRを使って計算してみます。(現在では、Pythonでもポアソンの確率分布は求めることができます)\n","\n","Rとの連携にはpyperライブラリを使用します。\n","PandasのデータフレームもできるようにRのインスタンスを生成します。\n"]},{"cell_type":"code","metadata":{"id":"jnoPVEtZGPWt","colab_type":"code","outputId":"07502f46-fce5-47b1-f3b9-ac377928900b","executionInfo":{"status":"ok","timestamp":1576299868174,"user_tz":-540,"elapsed":3601,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":34}},"source":["!pip install pyper"],"execution_count":0,"outputs":[{"output_type":"stream","text":["Requirement already satisfied: pyper in /usr/local/lib/python3.6/dist-packages (1.1.2)\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"tltdEMaaRWMu","colab_type":"code","colab":{}},"source":["import pyper\n","r = pyper.R(use_pandas='True')"],"execution_count":0,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"OUMBdiyRjWKm","colab_type":"text"},"source":["先に計算したhistgramからデータフレームdfを作り、データフレームのindexをxとして、Rに渡します。\n","\n","次にRのdpois関数を使ってxに対するlambda=3.56のポアソン確率分布をRの変数yにセットします。\n","\n","r.get関数を使ってRのy変数の結果をデータフレーム(dpois)にセットします。データ数が50個なので、50を掛けてヒストグラムと比較します。\n"]},{"cell_type":"code","metadata":{"id":"S0NbbSesWwOO","colab_type":"code","colab":{}},"source":["df = pd.DataFrame(histgram)\n","df['x'] = df.index\n","r.assign(\"x\", df.index)"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"AXwp-RGMSPqB","colab_type":"code","colab":{}},"source":["r(\"y<-dpois(x, lambda=3.56)\")\n","df['dpois'] = r.get(\"y\")*50"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"CowMVFfASb78","colab_type":"code","outputId":"c1923a73-35a1-4a6b-dd50-fc890775dc79","executionInfo":{"status":"ok","timestamp":1576299873678,"user_tz":-540,"elapsed":618,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":204}},"source":["df.head()"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/html":["
\n","\n","\n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n","
dataxdpois
312310.692528
21129.010557
41049.516350
5556.775641
7472.044566
\n","
"],"text/plain":[" data x dpois\n","3 12 3 10.692528\n","2 11 2 9.010557\n","4 10 4 9.516350\n","5 5 5 6.775641\n","7 4 7 2.044566"]},"metadata":{"tags":[]},"execution_count":23}]},{"cell_type":"markdown","metadata":{"id":"PxErVLjZkEiL","colab_type":"text"},"source":["pandasのグラフの重ね書きでは、表示するグラフの軸データ(ax)を重ね書きするグラフのaxオプションにセットします。\n","\n","また、散布図の点が前面に表示されるようにzorder=2としています。"]},{"cell_type":"code","metadata":{"id":"RC66NRsNYLsr","colab_type":"code","outputId":"61ee6588-e176-4277-86ad-95e4e1c7a40e","executionInfo":{"status":"ok","timestamp":1576299875866,"user_tz":-540,"elapsed":820,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":285}},"source":["ax = d['data'].hist(bins=8)\n","df.plot.scatter(x='x', y='dpois', color='red', zorder=2, ax=ax)\n","plt.show()"],"execution_count":0,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAYUAAAEMCAYAAAArnKpYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZP8AAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"B0Thgzg_kuZE","colab_type":"text"},"source":["## 関数のプロット\n","データではなく、関数の形をグラフで見たい時があります。\n","そんな時には、sympyのプロット機能を使います。\n","\n","\n"]},{"cell_type":"markdown","metadata":{"id":"udxJGJpG4Tri","colab_type":"text"},"source":["例として、ニューラルネットの活性化関数で使われているシグモイド関数の形を見てみましょう。\n","$$ \n","s(x) = \\frac{1}{1 - e^{-x}} \n","$$\n","\n","変数xをsymbolsでシンボル定義し、関数fの式をセットします。\n","plotting.plot関数でfとxの描画範囲を指定すると、関数の形がグラフで表示されます。\n"]},{"cell_type":"code","metadata":{"id":"IsJxU1Czh28V","colab_type":"code","outputId":"ecb88758-ca3b-4203-8d0e-d1b1d6aed702","executionInfo":{"status":"ok","timestamp":1576299880774,"user_tz":-540,"elapsed":1413,"user":{"displayName":"竹本浩","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mD1GoteZi9uhXKm6VffZau3pjrrC_zjNvCremTI2A=s64","userId":"00259582923506648077"}},"colab":{"base_uri":"https://localhost:8080/","height":287}},"source":["from sympy import *\n","\n","# シグモイド関数をプロット\n","x = symbols('x')\n","f = 1/(1 + exp(-x))\n","\n","plotting.plot(f, (x, -5, 5))\n","plt.show()"],"execution_count":0,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAWAAAAEOCAYAAAC3n81mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nyAAAAABJRU5ErkJggg==\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"mek4DQ4HoWIc","colab_type":"code","colab":{}},"source":[""],"execution_count":0,"outputs":[]}]}