{"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":"Recently, I found an awsome [blog](https://blog.paperspace.com/mean-average-precision/) to explain mAP, in which the writer clarify it one step by one step: \n1. generate pred_score\n2. generate precision and recall metrics by using threshold\n3. create the precision-recall curve by counting all thresholds\n4. measure the AP and mAP\n\nIf you are interested in the detail, don't hesitate to read that article. \n\nIn this notebook, I will use dummy data to calculate AP and mAP by myself and compare it to sklearn version. After that, I think you can understand what does func `sklearn.metrics.average_precision_score` do🎉🎉🎉","metadata":{}},{"cell_type":"code","source":"import numpy as np\nfrom sklearn import metrics","metadata":{"execution":{"iopub.status.busy":"2023-04-19T03:39:03.919929Z","iopub.execute_input":"2023-04-19T03:39:03.920813Z","iopub.status.idle":"2023-04-19T03:39:03.925982Z","shell.execute_reply.started":"2023-04-19T03:39:03.920767Z","shell.execute_reply":"2023-04-19T03:39:03.925043Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"## AP\n\n![image.png](attachment:a699e2cc-b4b5-412f-93e2-a6b27069fde8.png)","metadata":{},"attachments":{"a699e2cc-b4b5-412f-93e2-a6b27069fde8.png":{"image/png":"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"}}},{"cell_type":"code","source":"y_true = [1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0]\n\npred_scores = [0.7, 0.3, 0.5, 0.6, 0.55, 0.9, 0.4, 0.2, 0.4, 0.3, 0.7, 0.5, 0.8, 0.2, 0.3, 0.35]\n\nthresholds = np.arange(start=0.0, stop=0.65, step=0.05)","metadata":{"execution":{"iopub.status.busy":"2023-04-19T03:39:03.928160Z","iopub.execute_input":"2023-04-19T03:39:03.928609Z","iopub.status.idle":"2023-04-19T03:39:03.938092Z","shell.execute_reply.started":"2023-04-19T03:39:03.928563Z","shell.execute_reply":"2023-04-19T03:39:03.936707Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"Step1: generate all the precision and recall metrics under every threshold","metadata":{}},{"cell_type":"code","source":"precision_list = []\nrecall_list = []\nfor threshold in thresholds:\n    y_pred = [1 if score >=threshold else 0 for score in pred_scores]\n    \n    precision = metrics.precision_score(y_true=y_true, y_pred=y_pred, pos_label=1)\n    recall = metrics.recall_score(y_true=y_true, y_pred=y_pred, pos_label=1)\n    \n    precision_list.append(precision)\n    recall_list.append(recall)","metadata":{"execution":{"iopub.status.busy":"2023-04-19T03:39:03.939989Z","iopub.execute_input":"2023-04-19T03:39:03.940799Z","iopub.status.idle":"2023-04-19T03:39:03.970619Z","shell.execute_reply.started":"2023-04-19T03:39:03.940761Z","shell.execute_reply":"2023-04-19T03:39:03.969381Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"print(precision_list)\nprint()\nprint(recall_list)","metadata":{"execution":{"iopub.status.busy":"2023-04-19T03:39:03.972304Z","iopub.execute_input":"2023-04-19T03:39:03.972733Z","iopub.status.idle":"2023-04-19T03:39:03.978363Z","shell.execute_reply.started":"2023-04-19T03:39:03.972697Z","shell.execute_reply":"2023-04-19T03:39:03.977043Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"Step2: append 1 and 0\n\n1. the last value of `precision_list` should be 1.0\n2. the last value of `recall_list` should be 0.0\n\nnotice `in precision_list` the last val is already 1, but to make sure they are the same length, so still add 1","metadata":{}},{"cell_type":"code","source":"precision_list.append(1.0)  \nrecall_list.append(0.0)","metadata":{"execution":{"iopub.status.busy":"2023-04-19T03:39:03.981622Z","iopub.execute_input":"2023-04-19T03:39:03.982831Z","iopub.status.idle":"2023-04-19T03:39:03.990449Z","shell.execute_reply.started":"2023-04-19T03:39:03.982780Z","shell.execute_reply":"2023-04-19T03:39:03.988941Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"Step3: calculate AP","metadata":{}},{"cell_type":"code","source":"avg_precision = 0  # The initialization result is 0\n\nfor i in range(len(precision_list)-1):\n    avg_precision += precision_list[i] * (recall_list[i] - recall_list[i+1])  # weighted sum\n\nprint('avg_precision is:', avg_precision)  ","metadata":{"execution":{"iopub.status.busy":"2023-04-19T03:39:03.992224Z","iopub.execute_input":"2023-04-19T03:39:03.993039Z","iopub.status.idle":"2023-04-19T03:39:04.002120Z","shell.execute_reply.started":"2023-04-19T03:39:03.992979Z","shell.execute_reply":"2023-04-19T03:39:04.001076Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"metrics.average_precision_score(y_true, pred_scores)","metadata":{"execution":{"iopub.status.busy":"2023-04-19T03:39:04.003723Z","iopub.execute_input":"2023-04-19T03:39:04.004104Z","iopub.status.idle":"2023-04-19T03:39:04.015560Z","shell.execute_reply.started":"2023-04-19T03:39:04.004057Z","shell.execute_reply":"2023-04-19T03:39:04.014724Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"## mAP\n\n![image.png](attachment:f1475d05-02e1-42a8-9f23-b088c1b06d26.png)","metadata":{},"attachments":{"f1475d05-02e1-42a8-9f23-b088c1b06d26.png":{"image/png":"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"}}},{"cell_type":"code","source":"y_true = [1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0]\n\npred_scores = [0.7, 0.3, 0.5, 0.6, 0.55, 0.9, 0.4, 0.2, 0.4, 0.3, 0.7, 0.5, 0.8, 0.2, 0.3, 0.35]","metadata":{"execution":{"iopub.status.busy":"2023-04-19T03:39:04.017063Z","iopub.execute_input":"2023-04-19T03:39:04.017625Z","iopub.status.idle":"2023-04-19T03:39:04.023595Z","shell.execute_reply.started":"2023-04-19T03:39:04.017583Z","shell.execute_reply":"2023-04-19T03:39:04.022513Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"imagine we have three lable 0,1,2 and we do onehot transform and then create `y_true_m`😂","metadata":{}},{"cell_type":"code","source":"y_true_m = []\ny_true_m.append(y_true)\ny_true_m.append(y_true)\ny_true_m.append(y_true)\n\npred_scores_m = []\npred_scores_m.append(pred_scores)\npred_scores_m.append(pred_scores)\npred_scores_m.append(pred_scores)","metadata":{"execution":{"iopub.status.busy":"2023-04-19T03:39:04.025006Z","iopub.execute_input":"2023-04-19T03:39:04.025570Z","iopub.status.idle":"2023-04-19T03:39:04.034458Z","shell.execute_reply.started":"2023-04-19T03:39:04.025536Z","shell.execute_reply":"2023-04-19T03:39:04.033563Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"calculate AP to all the positive one by one and then averaging them","metadata":{}},{"cell_type":"code","source":"avg_precision = 0  # each class\navg_precision_total = 0  # all the class\n\nfor i in range(len(y_true_m) - 1):  # only cal the AP for positive label \n    pred_scores = pred_scores_m[i]\n    y_true = y_true_m[i]\n    \n    precision_list = []\n    recall_list = []\n    for threshold in thresholds:\n        y_pred = [1 if score >=threshold else 0 for score in pred_scores]\n\n        precision = metrics.precision_score(y_true=y_true, y_pred=y_pred, pos_label=1)\n        recall = metrics.recall_score(y_true=y_true, y_pred=y_pred, pos_label=1)\n\n        precision_list.append(precision)\n        recall_list.append(recall)\n    \n    precision_list.append(1.0)\n    recall_list.append(0.0)\n    \n    for j in range(len(precision_list)-1):\n        avg_precision += precision_list[j] * (recall_list[j] - recall_list[j+1])  \n    \n    avg_precision_total += avg_precision\n\navg_precision_total = avg_precision_total / len(y_true_m)","metadata":{"execution":{"iopub.status.busy":"2023-04-19T03:39:04.171330Z","iopub.execute_input":"2023-04-19T03:39:04.171732Z","iopub.status.idle":"2023-04-19T03:39:04.224183Z","shell.execute_reply.started":"2023-04-19T03:39:04.171692Z","shell.execute_reply":"2023-04-19T03:39:04.222727Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"print('avg_precision_total: ', avg_precision_total)","metadata":{"execution":{"iopub.status.busy":"2023-04-19T03:39:04.226515Z","iopub.execute_input":"2023-04-19T03:39:04.226927Z","iopub.status.idle":"2023-04-19T03:39:04.232423Z","shell.execute_reply.started":"2023-04-19T03:39:04.226885Z","shell.execute_reply":"2023-04-19T03:39:04.231304Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"metrics.average_precision_score(np.array(y_true_m).T, np.array(pred_scores_m).T)","metadata":{"execution":{"iopub.status.busy":"2023-04-19T03:39:04.233657Z","iopub.execute_input":"2023-04-19T03:39:04.234036Z","iopub.status.idle":"2023-04-19T03:39:04.246834Z","shell.execute_reply.started":"2023-04-19T03:39:04.234003Z","shell.execute_reply":"2023-04-19T03:39:04.245820Z"},"trusted":true},"execution_count":null,"outputs":[]}]}