{"metadata":{"kernelspec":{"language":"python","display_name":"Python 3","name":"python3"},"language_info":{"pygments_lexer":"ipython3","nbconvert_exporter":"python","version":"3.6.4","file_extension":".py","codemirror_mode":{"name":"ipython","version":3},"name":"python","mimetype":"text/x-python"}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"markdown","source":"# ROC_AUC\n\nSantoと申します。\n日頃、大学の方で医療統計で統計学をメインに学習しています。\n\n今回のRNSAコンペで使われている評価指標のROC曲線(Receiver Operatorating Characteristic curve)を用いたAUC(Area Under the Curve)について、このコンペ以外にも大学の課題で論文を読むときにも使用していることが少しあるので、簡単にまとめてました。もし、間違っていることがありましたら是非コメントなどで教えてください。","metadata":{}},{"cell_type":"markdown","source":"## 目次\n#### 1. [混同行列(confusion matrix)](#confusion)\n#### 2. [ROC曲線・AUC](#ROC)\n#### [参考文献](#reference)","metadata":{}},{"cell_type":"markdown","source":"<a id=\"confusion\"></a>\n# 1. 混同行列(confusion matrix)","metadata":{}},{"cell_type":"markdown","source":"混同行列はある予測したい変数$y$を含む教師データに対してある予測モデルを用いて$y$の予測を行うとき、その教師データに対して(予測したいデータでも構いませんが...)の予測とそのデータの真値を表によってまとめたものです。\n\n2値データを仮定すると、$2(予測) × 2(真値)=4$の4パターンが考えられます。\n\n混同行列についてまとめると以下のようになります。\n\n(画像が大きくなるのはごめんなさい..\n自分で貼った画像で大きさを変えられる対処の仕方教えて欲しいです...)","metadata":{}},{"cell_type":"markdown","source":"![図1.png](attachment:02823930-6d1f-4edc-8b16-d6358428420c.png)\n","metadata":{},"attachments":{"02823930-6d1f-4edc-8b16-d6358428420c.png":{"image/png":"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$accuracy =\\frac{TP+FN}{TP+FP+FN+TN} = \\frac{正しく予測できた数}{データ数}$\n* $TPR(True Positive Rate) or Recall = \\frac{TP}{TP+FN}$\n* $FPR(False Positive Rate) = \\frac{FP}{FP+TN}$\n* $Precision = \\frac{TP}{TP+FP}$\n* $F-measure = 2×(\\frac{1}{TPR}+\\frac{1}{Precision})^{-1}$","metadata":{}},{"cell_type":"markdown","source":"<a id=\"ROC\"></a>\n# 2.ROC曲線・AUC","metadata":{}},{"cell_type":"markdown","source":"ここからはROC曲線についてです。\nROC曲線の書き方については、参考文献をメインに行っていきます。<br>\nまずはROC曲線がどのようなものなのかグラフを見て見ます。(写真ですが結構前に作成したグラフです)\n<img src=\"https://github.com/santoHide/issues/blob/main/kaggle/2021/RNSA/ROC%E6%9B%B2%E7%B7%9A.png?raw=true\" width=\"90%\">\n\nこのようなグラフがROC曲線と呼ばれているものです。\n縦軸にTPR、横軸にFPRを取ってこの曲線の下側の面積がAUCになります。<br>\n実際に参考文献の論文のコードになぞってグラフを書いてみようと思います。<br>\n\n2021/8/4 ROCのプロット点を関数化しました。使いたい人は使ってください。","metadata":{}},{"cell_type":"code","source":"import numpy as np \n#ROCに必要なプロット点を作成\ndef make_roc_plot_points(L,c):\n    N = sum(c==0) #class 0:negative\n    P = sum(c==1) #class 1:positive\n    R = np.empty((0,2), float) #presurve plot points\n    i = 0\n    FP = 0\n    TP = 0\n    f = -100000\n    while(i <c.shape[0]):\n        if L[i] != f:\n            R = np.append(R, np.array([[FP/N, TP/P]]), axis=0)  \n            f = L[i]\n        if c[i] == 1:\n            TP = TP+1\n        else:\n            FP = FP+1\n        i = i + 1\n    return(R)\n","metadata":{"execution":{"iopub.status.busy":"2021-08-04T14:53:30.096095Z","iopub.execute_input":"2021-08-04T14:53:30.096581Z","iopub.status.idle":"2021-08-04T14:53:30.105783Z","shell.execute_reply.started":"2021-08-04T14:53:30.096540Z","shell.execute_reply":"2021-08-04T14:53:30.104343Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"L = np.array([0.9,0.8,0.7,0.6,0.55,0.54,0.53,0.52,0.51,0.505,\n    0.4,0.39,0.38,0.37,0.36,0.35,0.34,0.33,0.30,0.1]) #予測されたスコア\nc = np.array([1,1,0,1,1,1,0,0,1,0,\n    1,0,1,0,0,0,1,0,1,0]) \nR = make_roc_plot_points(L,c)\nprint(R)","metadata":{"execution":{"iopub.status.busy":"2021-08-04T14:53:30.637367Z","iopub.execute_input":"2021-08-04T14:53:30.637884Z","iopub.status.idle":"2021-08-04T14:53:30.648960Z","shell.execute_reply.started":"2021-08-04T14:53:30.637841Z","shell.execute_reply":"2021-08-04T14:53:30.647616Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"これでプロット点は完成しました<br>\nこのプロット点を用いてグラフを作成します!","metadata":{}},{"cell_type":"code","source":"import matplotlib.pyplot as plt\nplt.plot(R[:,0],R[:,1],linestyle='solid',color='blue')\nplt.title(\"Receiver Operatorating Characteristic curve\")\nplt.xlabel(\"FPR\")\nplt.ylabel(\"TPR\")\nplt.show()","metadata":{"execution":{"iopub.status.busy":"2021-08-04T14:53:31.928958Z","iopub.execute_input":"2021-08-04T14:53:31.929384Z","iopub.status.idle":"2021-08-04T14:53:32.240641Z","shell.execute_reply.started":"2021-08-04T14:53:31.929350Z","shell.execute_reply":"2021-08-04T14:53:32.239538Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"グラフが作成できたので次にAUCを計算します。","metadata":{}},{"cell_type":"code","source":"AUC = 0\nfor i in range(c.shape[0]-1):\n    AUC = AUC + (R[i+1,0]-R[i,0])*R[i,1]\nAUC","metadata":{"execution":{"iopub.status.busy":"2021-08-04T14:53:33.491582Z","iopub.execute_input":"2021-08-04T14:53:33.492031Z","iopub.status.idle":"2021-08-04T14:53:33.500105Z","shell.execute_reply.started":"2021-08-04T14:53:33.491991Z","shell.execute_reply":"2021-08-04T14:53:33.499347Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"AUC=0.58という値になりました。<br>\nAUCの値はランダムに目的変数$y$を予測していると0.5の値になり、1に近いほどモデルの性能は良いらしいです。<br>\n高いAUCの値を目指せるように頑張りましょう!!\n","metadata":{}},{"cell_type":"markdown","source":"<a id=\"reference\"></a>\n# 参考文献\n[1] Tom Fawcett. ROC Graphs: Notes and Practical Considerations for Researchers. *Pattern Recognition Letters*. 2002; **31**(8): 1-38.","metadata":{}}]}