From fed93fe1c871c9029f0e5ed4f2e82f811aba2cf3 Mon Sep 17 00:00:00 2001 From: hopebii <77307201+hopebii@users.noreply.github.com> Date: Fri, 25 Jun 2021 23:35:16 +0900 Subject: [PATCH] Add files via upload --- kaggle-week1.ipynb | 1 + 1 file changed, 1 insertion(+) create mode 100644 kaggle-week1.ipynb diff --git a/kaggle-week1.ipynb b/kaggle-week1.ipynb new file mode 100644 index 0000000..90a0667 --- /dev/null +++ b/kaggle-week1.ipynb @@ -0,0 +1 @@ +{"metadata":{"kernelspec":{"language":"python","display_name":"Python 3","name":"python3"},"language_info":{"name":"python","version":"3.7.10","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"markdown","source":"# 고객 거래 이상징후 탐지\n\n#### 두번째 노트북 필사 : https://www.kaggle.com/shahules/tackling-class-imbalance\n\n* 목표 : 고객별로 거래가 발생했을 때 그에 대한 Fraud의 정도를 예측한다. \n* binary target : isFraud","metadata":{}},{"cell_type":"markdown","source":"## Data description\nThe data is broken into two files **identity** and **transaction**, which are joined by TransactionID.\n\n### transaction table \nIt contains money transfer and also other gifting goods and service, like you booked a ticket for others, etc. \n\n**Features - Transaction**\n* TransactionDT: 지정된 거래 참조 날짜의 델타 시간(실제 타임스탬프가 아님)\n-> ex) “TransactionDT first value is 86400, which corresponds to the number of seconds in a day (60 * 60 * 24 = 86400). So we know the data spans 6 months, as the maximum value is 15811131, which would correspond to day 183.\"\n\n* TransactionAMT: 거래 결제 금액(USD : 미국달러 단위) \n* dist: 거리 (청구주소, 우편주소, 우편번호, IP주소, 전화 지역간의 거리...) \n* C1-C14: counting, such as how many addresses are found to be associated with the payment card, etc. The actual meaning is masked. 결제 카드와 연결된 주소의 수 등의 counting으로 실제 의미는 숨겨져 있음 \n* D1-D15: 이전(previous) 거래 일수와 같은 델타시간\n* Vxxx: Vesta engineered rich features, including ranking, counting, and other entity relations. \n\n**Categorical Features - Transaction**\n* ProductCD: 거래별 상품 코드 (여기서 상품은 제품과 더불어 서비스도 포함됨) \n* emaildomain: 구매자 및 수신자 이메일 주소\n* card1 - card6: 카드종류(type), 카드분류(category), 발행 은행, 국가 등 결제 지불 카드에 대한 정보 \n* addr1, addr2 : 주소(카드 결제한 주소). addr1,2 모두 구매자에 대한 정보로 addr1은 billing region(거래 청구서를 발행한 지역), addr2는 billing country(거래 청구서를 발행한 나라)를 의미한다. \n* P_emaildomain \n* R_emaildomain\n* M1-M9: match, such as names on card and address, etc. 카드 이름, 주소 등의 일치(match)\n\n### identity table\n이 표의 변수는 identity (ID)에 대한 정보로,(IP, ISP, 프록시 등)와같은 네트워크 연결 정보와 거래와 관련된 전자서명(UA/브라우저/os/버전 등)에 대한 정보를 담고 있습니다. Vesta의 부정 행위 방지 시스템과 디지털 보안 파트너가 이러한 정보를 수집합니다. \n(field명은 maksed 되어 있으며 개인 정보 보호 및 계약 합의를 위해 쌍별 사전이 제공되지 않습니다.)\n\n**Categorical Features - Identity**\n* DeviceType : 거래 기기의 유형\n* DeviceInfo : 거래 기기에 대한 정보 (연결 네트워크, 전자서명) \n* id_12 - id_38 \n\n\n### labeling logic\n* 부정거래 : Fraud=1\n* 합법적 거래 : isFraud = 0 ","metadata":{}},{"cell_type":"markdown","source":"## Questions\n* 1) 어떤 유형의 데이터가 존재하는가\n* 2) missing value(누락된 값)은 몇개인가\n* 3) target (isFraud) 값의 분포는 어떻게 되는가\n* 4) 이상거래와 정상거래의 transactions values의 분포는 어떻게 되는가\n* 5) 이상거래가 두드러진 상품이 있는가\n* 6) feature나 target이 흥미로운 특징을 보이는가\n","metadata":{}},{"cell_type":"markdown","source":"### 클래스 불균형 해결방안 관련 참고 사이트\nhttps://datascienceschool.net/03%20machine%20learning/14.02%20%EB%B9%84%EB%8C%80%EC%B9%AD%20%EB%8D%B0%EC%9D%B4%ED%84%B0%20%EB%AC%B8%EC%A0%9C.html","metadata":{}},{"cell_type":"markdown","source":"#### 1. import library","metadata":{}},{"cell_type":"code","source":"import pandas as pd\nimport numpy as np\nimport matplotlib.pyplot as plt\nimport seaborn as sns\nfrom sklearn.preprocessing import LabelEncoder\nfrom sklearn.utils import resample\nfrom xgboost import XGBClassifier\nfrom sklearn.metrics import roc_auc_score,precision_recall_curve,roc_curve\nfrom sklearn.model_selection import train_test_split\nfrom sklearn.linear_model import LogisticRegression\nfrom sklearn.manifold import TSNE\nfrom sklearn.decomposition import PCA, TruncatedSVD\nimport time\nimport matplotlib.patches as mpatches\nfrom sklearn.metrics import confusion_matrix","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:13:52.623693Z","iopub.execute_input":"2021-06-25T13:13:52.624160Z","iopub.status.idle":"2021-06-25T13:13:53.904424Z","shell.execute_reply.started":"2021-06-25T13:13:52.624068Z","shell.execute_reply":"2021-06-25T13:13:53.903567Z"},"trusted":true},"execution_count":1,"outputs":[]},{"cell_type":"markdown","source":"#### 2. loading train datasets & basic info","metadata":{}},{"cell_type":"code","source":"train_identity= pd.read_csv(\"../input/ieee-fraud-detection/train_identity.csv\")\ntrain_transactions = pd.read_csv(\"../input/ieee-fraud-detection/train_transaction.csv\")","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:13:53.905991Z","iopub.execute_input":"2021-06-25T13:13:53.906313Z","iopub.status.idle":"2021-06-25T13:14:22.686068Z","shell.execute_reply.started":"2021-06-25T13:13:53.906275Z","shell.execute_reply":"2021-06-25T13:14:22.685140Z"},"trusted":true},"execution_count":2,"outputs":[]},{"cell_type":"code","source":"train_transactions.head()","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:14:22.688027Z","iopub.execute_input":"2021-06-25T13:14:22.688641Z","iopub.status.idle":"2021-06-25T13:14:22.730295Z","shell.execute_reply.started":"2021-06-25T13:14:22.688594Z","shell.execute_reply":"2021-06-25T13:14:22.729491Z"},"trusted":true},"execution_count":3,"outputs":[{"execution_count":3,"output_type":"execute_result","data":{"text/plain":" TransactionID isFraud TransactionDT TransactionAmt ProductCD card1 \\\n0 2987000 0 86400 68.5 W 13926 \n1 2987001 0 86401 29.0 W 2755 \n2 2987002 0 86469 59.0 W 4663 \n3 2987003 0 86499 50.0 W 18132 \n4 2987004 0 86506 50.0 H 4497 \n\n card2 card3 card4 card5 ... V330 V331 V332 V333 V334 V335 \\\n0 NaN 150.0 discover 142.0 ... NaN NaN NaN NaN NaN NaN \n1 404.0 150.0 mastercard 102.0 ... NaN NaN NaN NaN NaN NaN \n2 490.0 150.0 visa 166.0 ... NaN NaN NaN NaN NaN NaN \n3 567.0 150.0 mastercard 117.0 ... NaN NaN NaN NaN NaN NaN \n4 514.0 150.0 mastercard 102.0 ... 0.0 0.0 0.0 0.0 0.0 0.0 \n\n V336 V337 V338 V339 \n0 NaN NaN NaN NaN \n1 NaN NaN NaN NaN \n2 NaN NaN NaN NaN \n3 NaN NaN NaN NaN \n4 0.0 0.0 0.0 0.0 \n\n[5 rows x 394 columns]","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 \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 \n \n \n \n \n \n \n \n \n \n \n
TransactionIDisFraudTransactionDTTransactionAmtProductCDcard1card2card3card4card5...V330V331V332V333V334V335V336V337V338V339
0298700008640068.5W13926NaN150.0discover142.0...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
1298700108640129.0W2755404.0150.0mastercard102.0...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
2298700208646959.0W4663490.0150.0visa166.0...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
3298700308649950.0W18132567.0150.0mastercard117.0...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
4298700408650650.0H4497514.0150.0mastercard102.0...0.00.00.00.00.00.00.00.00.00.0
\n

5 rows × 394 columns

\n
"},"metadata":{}}]},{"cell_type":"code","source":"train_transactions.info()","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:14:22.731959Z","iopub.execute_input":"2021-06-25T13:14:22.732330Z","iopub.status.idle":"2021-06-25T13:14:22.758617Z","shell.execute_reply.started":"2021-06-25T13:14:22.732291Z","shell.execute_reply":"2021-06-25T13:14:22.757275Z"},"trusted":true},"execution_count":4,"outputs":[{"name":"stdout","text":"\nRangeIndex: 590540 entries, 0 to 590539\nColumns: 394 entries, TransactionID to V339\ndtypes: float64(376), int64(4), object(14)\nmemory usage: 1.7+ GB\n","output_type":"stream"}]},{"cell_type":"code","source":"train_identity.info()","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:14:22.759996Z","iopub.execute_input":"2021-06-25T13:14:22.760377Z","iopub.status.idle":"2021-06-25T13:14:22.961729Z","shell.execute_reply.started":"2021-06-25T13:14:22.760336Z","shell.execute_reply":"2021-06-25T13:14:22.960879Z"},"trusted":true},"execution_count":5,"outputs":[{"name":"stdout","text":"\nRangeIndex: 144233 entries, 0 to 144232\nData columns (total 41 columns):\n # Column Non-Null Count Dtype \n--- ------ -------------- ----- \n 0 TransactionID 144233 non-null int64 \n 1 id_01 144233 non-null float64\n 2 id_02 140872 non-null float64\n 3 id_03 66324 non-null float64\n 4 id_04 66324 non-null float64\n 5 id_05 136865 non-null float64\n 6 id_06 136865 non-null float64\n 7 id_07 5155 non-null float64\n 8 id_08 5155 non-null float64\n 9 id_09 74926 non-null float64\n 10 id_10 74926 non-null float64\n 11 id_11 140978 non-null float64\n 12 id_12 144233 non-null object \n 13 id_13 127320 non-null float64\n 14 id_14 80044 non-null float64\n 15 id_15 140985 non-null object \n 16 id_16 129340 non-null object \n 17 id_17 139369 non-null float64\n 18 id_18 45113 non-null float64\n 19 id_19 139318 non-null float64\n 20 id_20 139261 non-null float64\n 21 id_21 5159 non-null float64\n 22 id_22 5169 non-null float64\n 23 id_23 5169 non-null object \n 24 id_24 4747 non-null float64\n 25 id_25 5132 non-null float64\n 26 id_26 5163 non-null float64\n 27 id_27 5169 non-null object \n 28 id_28 140978 non-null object \n 29 id_29 140978 non-null object \n 30 id_30 77565 non-null object \n 31 id_31 140282 non-null object \n 32 id_32 77586 non-null float64\n 33 id_33 73289 non-null object \n 34 id_34 77805 non-null object \n 35 id_35 140985 non-null object \n 36 id_36 140985 non-null object \n 37 id_37 140985 non-null object \n 38 id_38 140985 non-null object \n 39 DeviceType 140810 non-null object \n 40 DeviceInfo 118666 non-null object \ndtypes: float64(23), int64(1), object(17)\nmemory usage: 45.1+ MB\n","output_type":"stream"}]},{"cell_type":"markdown","source":"#### 3. 클래스 불균형 확인하기","metadata":{}},{"cell_type":"code","source":"# target variable\n# train_transactions['isFraud'].value_counts() # 0:569877개, 1:20663개\nx=train_transactions['isFraud'].value_counts().values\nsns.barplot([0,1],x)\nplt.title('Target variable count')","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:14:22.963073Z","iopub.execute_input":"2021-06-25T13:14:22.963430Z","iopub.status.idle":"2021-06-25T13:14:23.099376Z","shell.execute_reply.started":"2021-06-25T13:14:22.963393Z","shell.execute_reply":"2021-06-25T13:14:23.098314Z"},"trusted":true},"execution_count":6,"outputs":[{"name":"stderr","text":"/opt/conda/lib/python3.7/site-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n FutureWarning\n","output_type":"stream"},{"execution_count":6,"output_type":"execute_result","data":{"text/plain":"Text(0.5, 1.0, 'Target variable count')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
","image/png":"iVBORw0KGgoAAAANSUhEUgAAAYkAAAEICAYAAACqMQjAAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Z1A+gAAAACXBIWXMAAAsTAAALEwEAmpwYAAAT6ElEQVR4nO3dfbDeZX3n8ffHRBBFCELKSBIbOqYPaEerGaDjzq5KFwKuDd2pLqwtKaVmR3DH1fUBO1Ys1i12HdlltHRpSQ12EbN9GFIXSlPUOk6LclItCOhyGsUkPCQS5EFEB/zuH/d1nJvDfZ1zEsJ9DuT9mrnn/H7f6/r9rus+E36f83u4b1JVSJI0yrPmewKSpIXLkJAkdRkSkqQuQ0KS1GVISJK6DAlJUpchIT3FkjyU5Kfm0G9lkkqyuNP+gSR/tv9nKPUZEhqbdrCcev0oyfeH1t80pjm8OsmOcYw1paoOrapt4xxzIUjyrSS/NN/z0JMz8i8W6alQVYdOLSf5FvBbVfV3e7OPJIur6tH9PbenwtNprlKPZxKad0mOT/KPSb6b5K4kH0ty0FB7JTkvye3A7a327tb3ziS/1fq8uLUdnOQjSb6d5J4kf5TkkCTPA64Fjhk6gzlm2lxOSHJ3kkVDtV9JctOTmOvw3F6X5CtJHkiyPckHRvxKfrO9r7uSvHOG39uJSf6hzeWfk7x6hr4rkvxlkt1J7k3ysVZ/VpL3Jbkjya4kVyQ5vLU94axr+OygXf7a1LZ5MMktSVa3tk8CLwL+uv2e392bmxY2Q0ILwWPA24GjgF8ETgLOndbndOAE4Lgka4B3AL8EvBh49bS+FwE/Dby8tS8D3l9V3wNOBe5sl4AOrao7hzesqi8B3wNeO1T+j8CV+zLXEe/1e8BZwBLgdcBbkpw+rc9rgFXAycB7Rl2ySbIM+L/A7wEvAN4J/EWSpSP6LgI+A9wBrGy/j6ta82+012uAnwIOBT42Yt49v9z2tQTYPLVtVf068G3g9e33/Ad7sU8tIIaE5l1Vba2qG6rq0ar6FvC/gH8zrdvvV9Weqvo+8EbgT6vqlqp6GPjAVKckAdYDb2/9HwT+G3DGXkzpU8CZbX/PB05rtX2Z6/T3+vmqurmqflRVN7X9Tt/+d6vqe1V1M/CnU3OZ5teAa6rqmravLcBEm+t0xwPHAO9q+32kqr7Y2t4EfLSqtlXVQ8B7gTN6N89H+GKbw2PAJ4GXzXE7PU14T0LzLslPAx8FVgPPZfDvcuu0btuHlo9hcEAc1ba07WPrIC8GQwCLmLsrgX9I8hbg3wP/VFV37ONcHyfJCQzOdF4KHAQcDPyfGba/A/j5Ebv6SeANSV4/VHs28LkRfVcAd3TujxzTxhgebzFwdO89THP30PLDwHO8F/PM4pmEFoJLga8Dq6rqMOC3GRzYhw1/XfFdwPKh9RVDy98Bvg+8pKqWtNfhQzfNZ/3a46q6lcHB8lQef6lpX+Y63ZUMLsusqKrDgT8asf3w+3kRcCdPtB345NB7XFJVz6uqizp9X9Q5O7iTQeAMj/cocA+DS2PPnWpol62ecDlrBn7F9DOAIaGF4PnAA8BDSX4WeMss/TcBZyf5uSTPBX5nqqGqfgT8MXBxkp+AwfX7JKe0LvcAR07dnJ3BlcDbgH/N4//S39u5Tvd8YE9VPZLkeAYhNN3vJHlukpcAZwOfHtHnz4DXJzklyaIkz2k3mpeP6PtlBsF6UZLntb6vam2fAt6e5NgkhzK4NPfpdibw/xicGbwuybOB9zE485mrexjc59DTmCGhheCdDA6WDzI4wI86KP5YVV0LXMLg0sokcENr+kH7+Z6pepIHgL8DfqZt+3UGB8Zt7amgxz3dNGTqXsFnq+o7+zrXEc4FLkzyIPB+BoE33d+3+V8PfKSq/nZ6h6raDqxlcCazm8HZwrsY8d90u1/wegY38b8N7AD+Q2vewOBewheAbwKPAP+5bXd/m++fADsZnFnszWdMfh94X/s9d5/S0sIW/6dDerpL8nPA14CDvRYu7V+eSehpqX124eAkRwAfBv7agJD2P0NCT1f/CdgF/AuDzy7s7b0BSXPg5SZJUpdnEpKkrmfch+mOOuqoWrly5XxPQ5KeVrZu3fqdqnrC52CecSGxcuVKJiYmZu8oSfqxJHeMqnu5SZLUZUhIkroMCUlSlyEhSeoyJCRJXYaEJKnLkJAkdRkSkqQuQ0KS1PWM+8T1/vDKd10x31PQArP1v58131OQ5oVnEpKkLkNCktRlSEiSugwJSVKXISFJ6jIkJEldhoQkqcuQkCR1GRKSpC5DQpLUZUhIkroMCUlSlyEhSeoyJCRJXYaEJKnLkJAkdRkSkqQuQ0KS1GVISJK6DAlJUpchIUnqmlNIJPlWkpuTfDXJRKu9IMmWJLe3n0e0epJckmQyyU1JXjG0n3Wt/+1J1g3VX9n2P9m2zUxjSJLGY2/OJF5TVS+vqtVt/Xzg+qpaBVzf1gFOBVa113rgUhgc8IELgBOA44ELhg76lwJvHtpuzSxjSJLG4MlcbloLbGzLG4HTh+pX1MANwJIkLwROAbZU1Z6qug/YAqxpbYdV1Q1VVcAV0/Y1agxJ0hjMNSQK+NskW5Osb7Wjq+qutnw3cHRbXgZsH9p2R6vNVN8xoj7TGI+TZH2SiSQTu3fvnuNbkiTNZvEc+/2rqtqZ5CeALUm+PtxYVZWk9v/05jZGVV0GXAawevXqp3QeknQgmdOZRFXtbD93AX/F4J7CPe1SEe3nrtZ9J7BiaPPlrTZTffmIOjOMIUkag1lDIsnzkjx/ahk4GfgasBmYekJpHXB1W94MnNWecjoRuL9dMroOODnJEe2G9cnAda3tgSQntqeazpq2r1FjSJLGYC6Xm44G/qo9lboYuLKq/ibJjcCmJOcAdwBvbP2vAU4DJoGHgbMBqmpPkg8CN7Z+F1bVnrZ8LvAJ4BDg2vYCuKgzhiRpDGYNiaraBrxsRP1e4KQR9QLO6+xrA7BhRH0CeOlcx5AkjYefuJYkdRkSkqQuQ0KS1GVISJK6DAlJUpchIUnqMiQkSV2GhCSpy5CQJHUZEpKkLkNCktRlSEiSugwJSVKXISFJ6jIkJEldhoQkqcuQkCR1GRKSpC5DQpLUZUhIkroMCUlSlyEhSeoyJCRJXYaEJKnLkJAkdRkSkqQuQ0KS1DXnkEiyKMlXknymrR+b5EtJJpN8OslBrX5wW59s7SuH9vHeVv9GklOG6mtabTLJ+UP1kWNIksZjb84k3gbcNrT+YeDiqnoxcB9wTqufA9zX6he3fiQ5DjgDeAmwBvjDFjyLgI8DpwLHAWe2vjONIUkagzmFRJLlwOuAP2nrAV4L/HnrshE4vS2vbeu09pNa/7XAVVX1g6r6JjAJHN9ek1W1rap+CFwFrJ1lDEnSGMz1TOJ/AO8GftTWjwS+W1WPtvUdwLK2vAzYDtDa72/9f1yftk2vPtMYj5NkfZKJJBO7d++e41uSJM1m1pBI8u+AXVW1dQzz2SdVdVlVra6q1UuXLp3v6UjSM8biOfR5FfDLSU4DngMcBvxPYEmSxe0v/eXAztZ/J7AC2JFkMXA4cO9QfcrwNqPq984whiRpDGY9k6iq91bV8qpayeDG82er6k3A54Bfbd3WAVe35c1tndb+2aqqVj+jPf10LLAK+DJwI7CqPcl0UBtjc9umN4YkaQyezOck3gO8I8kkg/sHl7f65cCRrf4O4HyAqroF2ATcCvwNcF5VPdbOEt4KXMfg6alNre9MY0iSxmAul5t+rKo+D3y+LW9j8GTS9D6PAG/obP8h4EMj6tcA14yojxxDkjQefuJaktRlSEiSugwJSVKXISFJ6jIkJEldhoQkqcuQkCR1GRKSpC5DQpLUZUhIkroMCUlSlyEhSeoyJCRJXYaEJKnLkJAkdRkSkqQuQ0KS1GVISJK6DAlJUpchIUnqMiQkSV2GhCSpy5CQJHUZEpKkLkNCktRlSEiSugwJSVKXISFJ6po1JJI8J8mXk/xzkluS/G6rH5vkS0kmk3w6yUGtfnBbn2ztK4f29d5W/0aSU4bqa1ptMsn5Q/WRY0iSxmMuZxI/AF5bVS8DXg6sSXIi8GHg4qp6MXAfcE7rfw5wX6tf3PqR5DjgDOAlwBrgD5MsSrII+DhwKnAccGbrywxjSJLGYNaQqIGH2uqz26uA1wJ/3uobgdPb8tq2Tms/KUla/aqq+kFVfROYBI5vr8mq2lZVPwSuAta2bXpjSJLGYE73JNpf/F8FdgFbgH8BvltVj7YuO4BlbXkZsB2gtd8PHDlcn7ZNr37kDGNMn9/6JBNJJnbv3j2XtyRJmoM5hURVPVZVLweWM/jL/2efykntraq6rKpWV9XqpUuXzvd0JOkZY6+ebqqq7wKfA34RWJJkcWtaDuxsyzuBFQCt/XDg3uH6tG169XtnGEOSNAZzebppaZIlbfkQ4N8CtzEIi19t3dYBV7flzW2d1v7ZqqpWP6M9/XQssAr4MnAjsKo9yXQQg5vbm9s2vTEkSWOwePYuvBDY2J5Cehawqao+k+RW4Kokvwd8Bbi89b8c+GSSSWAPg4M+VXVLkk3ArcCjwHlV9RhAkrcC1wGLgA1VdUvb13s6Y0iSxmDWkKiqm4BfGFHfxuD+xPT6I8AbOvv6EPChEfVrgGvmOoYkaTz8xLUkqcuQkCR1GRKSpC5DQpLUZUhIkroMCUlSlyEhSeoyJCRJXYaEJKnLkJAkdRkSkqQuQ0KS1GVISJK6DAlJUpchIUnqMiQkSV2GhCSpy5CQJHUZEpKkLkNCktRlSEiSugwJSVKXISFJ6jIkJEldhoQkqcuQkCR1GRKSpK5ZQyLJiiSfS3JrkluSvK3VX5BkS5Lb288jWj1JLkkymeSmJK8Y2te61v/2JOuG6q9McnPb5pIkmWkMSdJ4zOVM4lHgv1bVccCJwHlJjgPOB66vqlXA9W0d4FRgVXutBy6FwQEfuAA4ATgeuGDooH8p8Oah7da0em8MSdIYzBoSVXVXVf1TW34QuA1YBqwFNrZuG4HT2/Ja4IoauAFYkuSFwCnAlqraU1X3AVuANa3tsKq6oaoKuGLavkaNIUkag726J5FkJfALwJeAo6vqrtZ0N3B0W14GbB/abEerzVTfMaLODGNMn9f6JBNJJnbv3r03b0mSNIM5h0SSQ4G/AP5LVT0w3NbOAGo/z+1xZhqjqi6rqtVVtXrp0qVP5TQk6YAyp5BI8mwGAfG/q+ovW/medqmI9nNXq+8EVgxtvrzVZqovH1GfaQxJ0hjM5emmAJcDt1XVR4eaNgNTTyitA64eqp/VnnI6Ebi/XTK6Djg5yRHthvXJwHWt7YEkJ7axzpq2r1FjSJLGYPEc+rwK+HXg5iRfbbXfBi4CNiU5B7gDeGNruwY4DZgEHgbOBqiqPUk+CNzY+l1YVXva8rnAJ4BDgGvbixnGkCSNwawhUVVfBNJpPmlE/wLO6+xrA7BhRH0CeOmI+r2jxpAkjYefuJYkdRkSkqQuQ0KS1GVISJK6DAlJUpchIUnqMiQkSV2GhCSpy5CQJHUZEpKkLkNCktRlSEiSugwJSVKXISFJ6jIkJEldhoQkqcuQkCR1GRKSpC5DQpLUZUhIkroMCUlSlyEhSeoyJCRJXYaEJKnLkJAkdRkSkqQuQ0KS1DVrSCTZkGRXkq8N1V6QZEuS29vPI1o9SS5JMpnkpiSvGNpmXet/e5J1Q/VXJrm5bXNJksw0hiRpfOZyJvEJYM202vnA9VW1Cri+rQOcCqxqr/XApTA44AMXACcAxwMXDB30LwXePLTdmlnGkCSNyawhUVVfAPZMK68FNrbljcDpQ/UrauAGYEmSFwKnAFuqak9V3QdsAda0tsOq6oaqKuCKafsaNYYkaUz29Z7E0VV1V1u+Gzi6LS8Dtg/129FqM9V3jKjPNMYTJFmfZCLJxO7du/fh7UiSRnnSN67bGUDth7ns8xhVdVlVra6q1UuXLn0qpyJJB5R9DYl72qUi2s9drb4TWDHUb3mrzVRfPqI+0xiSpDHZ15DYDEw9obQOuHqoflZ7yulE4P52yeg64OQkR7Qb1icD17W2B5Kc2J5qOmvavkaNIUkak8WzdUjyKeDVwFFJdjB4SukiYFOSc4A7gDe27tcApwGTwMPA2QBVtSfJB4EbW78Lq2rqZvi5DJ6gOgS4tr2YYQxJ0pjMGhJVdWan6aQRfQs4r7OfDcCGEfUJ4KUj6veOGkOSND5+4lqS1GVISJK6DAlJUpchIUnqMiQkSV2GhCSpy5CQJHUZEpKkLkNCktRlSEiSugwJSVKXISFJ6jIkJEldhoQkqcuQkCR1GRKSpC5DQpLUZUhIkroMCUlSlyEhSeoyJCRJXYaEJKnLkJAkdS2e7wlImrtvX/jz8z0FLUAvev/NT9m+PZOQJHUZEpKkLkNCktRlSEiSuhZ8SCRZk+QbSSaTnD/f85GkA8mCDokki4CPA6cCxwFnJjlufmclSQeOBR0SwPHAZFVtq6ofAlcBa+d5TpJ0wFjon5NYBmwfWt8BnDC9U5L1wPq2+lCSb4xhbgeKo4DvzPck5ls+sm6+p6An8t/mlAuyP/byk6OKCz0k5qSqLgMum+95PBMlmaiq1fM9D2k6/22Ox0K/3LQTWDG0vrzVJEljsNBD4kZgVZJjkxwEnAFsnuc5SdIBY0FfbqqqR5O8FbgOWARsqKpb5nlaBxov42mh8t/mGKSq5nsOkqQFaqFfbpIkzSNDQpLUZUhoJL8ORQtVkg1JdiX52nzP5UBgSOgJ/DoULXCfANbM9yQOFIaERvHrULRgVdUXgD3zPY8DhSGhUUZ9HcqyeZqLpHlkSEiSugwJjeLXoUgCDAmN5tehSAIMCY1QVY8CU1+Hchuwya9D0UKR5FPAPwI/k2RHknPme07PZH4thySpyzMJSVKXISFJ6jIkJEldhoQkqcuQkCR1GRKSpC5DQpLU9f8B0Lhq6Dg2QMwAAAAASUVORK5CYII=\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":": **클래스 불균형(class imbalance)**가 존재한다. \n\n* 클래스 불균형 : 머신러닝 알고리즘은 각 클래스들의 개수가 거의 비슷한 경우에 가장 좋은 결과를 보여준다. 클래스의 개수가 한쪽으로 치우처진 클래스 불균형이 발생한 상황이라면, **'소수의 클래스에 특별히 더 큰 관심이 필요하여'** 클래스 균형을 맞춰야 하는 목적이 있을 때만 그에 맞는 테크닉을 적용하면 된다. 현재 다루고 있는 부정거래를 탐지하는 경우엔 isFraud인 경우(1)가 정상거래(0)보다 훨씬 적다. 그러나 **우리의 관심은 부정거래(1)이기 때문에 정상거래라고 예측하는 정확도에 비해 훨씬 더 큰 정확도를 가져야** 한다. 따라서 클래스 균형을 맞춰주기 위해 'isFraud'인 경우에 더 많은 가중치를 두어야 한다. \n\n* 참고사이트\n\nhttps://techblog-history-younghunjo1.tistory.com/74\n\nhttps://3months.tistory.com/414\n\nhttps://rosypark.tistory.com/354\n\n* the metric trap (클래스 불균형에서 발생 가능한 모델 평가의 함정)\n\n클래스가 불균형한 경우, accuracy와 같은 평가지표를 사용하면 결과해석에 문제가 발생할 수 있다 (가령 비대칭 데이터셋에서는 정확도가 높아도 재현율[부정거래를 부정거래라고 예측할 확률] 이 급격히 작아지는 현상이 발생한다). 만약 분류기가 피쳐에 대한 분석을 거치지 않고, 단순히 많은 수의 클래스로 예측하게 되면 항상 높은 정확율을 보일 것이다. \n\n- false positive : 실제로는 부정거래가 아닌데 부정거래라고 판정한 경우\n- false negative : 실제로 부정거래인데 정상거래라고 판정한 경우 \n\n* Change the performance metric (클래스 불균형에 적합한 지표)\n1. Confusion Matrix\n2. precision\n3. recall\n4. F1 scores\n\ncf) roc 곡선은 각 클래스의 관측수가 거의 동일해야 의미있는 측정지표가 된다. PR(precision-recall) 곡선은 클래스 불균형이 어느정도 많이 두드러질 때 사용한다. ","metadata":{}},{"cell_type":"markdown","source":"#### 4. transaction 와 identity dataset 병합하기","metadata":{}},{"cell_type":"code","source":"train=train_transactions.merge(train_identity,how='left',left_index=True,right_index=True)\ny_train=train['isFraud'].astype('uint8') #목표변수셋\nprint('Train shape',train.shape)\n\ndel train_transactions, train_identity\n","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:14:23.100930Z","iopub.execute_input":"2021-06-25T13:14:23.101284Z","iopub.status.idle":"2021-06-25T13:14:24.521290Z","shell.execute_reply.started":"2021-06-25T13:14:23.101243Z","shell.execute_reply":"2021-06-25T13:14:24.520106Z"},"trusted":true},"execution_count":7,"outputs":[{"name":"stdout","text":"Train shape (590540, 435)\n","output_type":"stream"}]},{"cell_type":"code","source":"train.head()","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:14:24.523900Z","iopub.execute_input":"2021-06-25T13:14:24.524269Z","iopub.status.idle":"2021-06-25T13:14:24.555231Z","shell.execute_reply.started":"2021-06-25T13:14:24.524228Z","shell.execute_reply":"2021-06-25T13:14:24.554286Z"},"trusted":true},"execution_count":8,"outputs":[{"execution_count":8,"output_type":"execute_result","data":{"text/plain":" TransactionID_x isFraud TransactionDT TransactionAmt ProductCD card1 \\\n0 2987000 0 86400 68.5 W 13926 \n1 2987001 0 86401 29.0 W 2755 \n2 2987002 0 86469 59.0 W 4663 \n3 2987003 0 86499 50.0 W 18132 \n4 2987004 0 86506 50.0 H 4497 \n\n card2 card3 card4 card5 ... id_31 id_32 \\\n0 NaN 150.0 discover 142.0 ... samsung browser 6.2 32.0 \n1 404.0 150.0 mastercard 102.0 ... mobile safari 11.0 32.0 \n2 490.0 150.0 visa 166.0 ... chrome 62.0 NaN \n3 567.0 150.0 mastercard 117.0 ... chrome 62.0 NaN \n4 514.0 150.0 mastercard 102.0 ... chrome 62.0 24.0 \n\n id_33 id_34 id_35 id_36 id_37 id_38 DeviceType \\\n0 2220x1080 match_status:2 T F T T mobile \n1 1334x750 match_status:1 T F F T mobile \n2 NaN NaN F F T T desktop \n3 NaN NaN F F T T desktop \n4 1280x800 match_status:2 T F T T desktop \n\n DeviceInfo \n0 SAMSUNG SM-G892A Build/NRD90M \n1 iOS Device \n2 Windows \n3 NaN \n4 MacOS \n\n[5 rows x 435 columns]","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 \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 \n \n \n \n \n \n \n \n \n \n \n
TransactionID_xisFraudTransactionDTTransactionAmtProductCDcard1card2card3card4card5...id_31id_32id_33id_34id_35id_36id_37id_38DeviceTypeDeviceInfo
0298700008640068.5W13926NaN150.0discover142.0...samsung browser 6.232.02220x1080match_status:2TFTTmobileSAMSUNG SM-G892A Build/NRD90M
1298700108640129.0W2755404.0150.0mastercard102.0...mobile safari 11.032.01334x750match_status:1TFFTmobileiOS Device
2298700208646959.0W4663490.0150.0visa166.0...chrome 62.0NaNNaNNaNFFTTdesktopWindows
3298700308649950.0W18132567.0150.0mastercard117.0...chrome 62.0NaNNaNNaNFFTTdesktopNaN
4298700408650650.0H4497514.0150.0mastercard102.0...chrome 62.024.01280x800match_status:2TFTTdesktopMacOS
\n

5 rows × 435 columns

\n
"},"metadata":{}}]},{"cell_type":"markdown","source":"+) Reducing memory usage (메모리 사용 줄이기) [이해x]","metadata":{}},{"cell_type":"code","source":"%%time\n# From kernel https://www.kaggle.com/gemartin/load-data-reduce-memory-usage\n# WARNING! THIS CAN DAMAGE THE DATA \ndef reduce_mem_usage2(df):\n \"\"\" iterate through all the columns of a dataframe and modify the data type\n to reduce memory usage. \n \"\"\"\n start_mem = df.memory_usage().sum() / 1024**2\n print('Memory usage of dataframe is {:.2f} MB'.format(start_mem))\n \n for col in df.columns:\n col_type = df[col].dtype\n \n if col_type != object:\n c_min = df[col].min()\n c_max = df[col].max()\n if str(col_type)[:3] == 'int':\n if c_min > np.iinfo(np.int8).min and c_max < np.iinfo(np.int8).max:\n df[col] = df[col].astype(np.int8)\n elif c_min > np.iinfo(np.int16).min and c_max < np.iinfo(np.int16).max:\n df[col] = df[col].astype(np.int16)\n elif c_min > np.iinfo(np.int32).min and c_max < np.iinfo(np.int32).max:\n df[col] = df[col].astype(np.int32)\n elif c_min > np.iinfo(np.int64).min and c_max < np.iinfo(np.int64).max:\n df[col] = df[col].astype(np.int64) \n else:\n if c_min > np.finfo(np.float16).min and c_max < np.finfo(np.float16).max:\n df[col] = df[col].astype(np.float16)\n elif c_min > np.finfo(np.float32).min and c_max < np.finfo(np.float32).max:\n df[col] = df[col].astype(np.float32)\n else:\n df[col] = df[col].astype(np.float64)\n else:\n df[col] = df[col].astype('category')\n\n end_mem = df.memory_usage().sum() / 1024**2\n print('Memory usage after optimization is: {:.2f} MB'.format(end_mem))\n print('Decreased by {:.1f}%'.format(100 * (start_mem - end_mem) / start_mem))\n \n return df","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:14:24.556818Z","iopub.execute_input":"2021-06-25T13:14:24.557172Z","iopub.status.idle":"2021-06-25T13:14:24.569875Z","shell.execute_reply.started":"2021-06-25T13:14:24.557136Z","shell.execute_reply":"2021-06-25T13:14:24.569049Z"},"trusted":true},"execution_count":9,"outputs":[{"name":"stdout","text":"CPU times: user 0 ns, sys: 6 µs, total: 6 µs\nWall time: 10.3 µs\n","output_type":"stream"}]},{"cell_type":"code","source":"%%time\ntrain = reduce_mem_usage2(train)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:14:24.571036Z","iopub.execute_input":"2021-06-25T13:14:24.571748Z","iopub.status.idle":"2021-06-25T13:15:50.039906Z","shell.execute_reply.started":"2021-06-25T13:14:24.571708Z","shell.execute_reply":"2021-06-25T13:15:50.038900Z"},"trusted":true},"execution_count":10,"outputs":[{"name":"stdout","text":"Memory usage of dataframe is 1959.88 MB\nMemory usage after optimization is: 527.82 MB\nDecreased by 73.1%\nCPU times: user 37.5 s, sys: 47.4 s, total: 1min 24s\nWall time: 1min 25s\n","output_type":"stream"}]},{"cell_type":"markdown","source":"#### 5. splitting to train and validation 훈련 데이터셋,검증 데이터셋으로 나누기 ","metadata":{}},{"cell_type":"code","source":"X_train,X_test,y_train,y_test = train_test_split(train.drop('isFraud',axis=1),y_train,test_size=0.2,random_state=1)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:15:50.041353Z","iopub.execute_input":"2021-06-25T13:15:50.041882Z","iopub.status.idle":"2021-06-25T13:15:53.170338Z","shell.execute_reply.started":"2021-06-25T13:15:50.041842Z","shell.execute_reply":"2021-06-25T13:15:53.169444Z"},"trusted":true},"execution_count":11,"outputs":[]},{"cell_type":"markdown","source":"#### 6. resampling\n\n* resampling : 클래스 불균형을 처리하기 위한 기술로, undersampling(다수집단에서 샘플을 제거) 방법과 oversampling(소수 집단에서 더 많은 예를 추가) 방법이 있다. \n\n* undersampling을 할 때, 줄어든 다수집단의 데이터는 원본 데이터의 대표성을 잘 지니고 있어야 하는 것이 중요하다. oversampling의 경우엔 원본 데이터를 복사하는 개념이기 때문에 양이 늘어난 데이터는 양이 적었던 원본 데이터의 성질과 동일하다. ","metadata":{}},{"cell_type":"markdown","source":"##### 6-1. oversmapling \n* 작업할 데이터가 많지 않은 경우 좋은 선택지가 될 수 있다. ","metadata":{}},{"cell_type":"code","source":"X=pd.concat([X_train,y_train],axis=1)\n\nnot_fraud = X[X.isFraud==0]\nfraud = X[X.isFraud==1]\n\n# upsample minority\nfraud_upsampled = resample(fraud,replace=True,n_samples=len(not_fraud),random_state=27)\n\n# combine majority and upsampled minority\nupsampled = pd.concat([not_fraud, fraud_upsampled])\n\n# check new class counts\nupsampled.isFraud.value_counts()","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:15:53.171649Z","iopub.execute_input":"2021-06-25T13:15:53.172035Z","iopub.status.idle":"2021-06-25T13:15:57.905826Z","shell.execute_reply.started":"2021-06-25T13:15:53.171983Z","shell.execute_reply":"2021-06-25T13:15:57.904823Z"},"trusted":true},"execution_count":12,"outputs":[{"execution_count":12,"output_type":"execute_result","data":{"text/plain":"1 455903\n0 455903\nName: isFraud, dtype: int64"},"metadata":{}}]},{"cell_type":"code","source":"y=upsampled.isFraud.value_counts()\nsns.barplot(y=y,x=[0,1])\nplt.title('upsampled data class count')\nplt.ylabel('count')","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:15:57.907311Z","iopub.execute_input":"2021-06-25T13:15:57.907692Z","iopub.status.idle":"2021-06-25T13:15:58.011764Z","shell.execute_reply.started":"2021-06-25T13:15:57.907650Z","shell.execute_reply":"2021-06-25T13:15:58.010805Z"},"trusted":true},"execution_count":13,"outputs":[{"execution_count":13,"output_type":"execute_result","data":{"text/plain":"Text(0, 0.5, 'count')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"##### 6-2. undersample majority class\n* 데이터가 엄청 많은 경우엔 수백만개의 행을 고려해 언더샘플링을 선택하는 것이 좋다. 그러나 데이터를 제거하는 것이기 때문에 정보의 손실이 발생하여 테스트 세트에 대한 일반화가 제대로 이루어지지 않을 수 있다. ","metadata":{}},{"cell_type":"code","source":"not_fraud_downsampled=resample(not_fraud,replace=False,n_samples=len(fraud),random_state=27)\n\n# combine minority and downsampled majority\ndownsampled = pd.concat([not_fraud_downsampled,fraud])\n\n# checking counts\ndownsampled.isFraud.value_counts()","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:15:58.013116Z","iopub.execute_input":"2021-06-25T13:15:58.013477Z","iopub.status.idle":"2021-06-25T13:15:58.268500Z","shell.execute_reply.started":"2021-06-25T13:15:58.013439Z","shell.execute_reply":"2021-06-25T13:15:58.267477Z"},"trusted":true},"execution_count":14,"outputs":[{"execution_count":14,"output_type":"execute_result","data":{"text/plain":"1 16529\n0 16529\nName: isFraud, dtype: int64"},"metadata":{}}]},{"cell_type":"code","source":"y=downsampled.isFraud.value_counts()\nsns.barplot(y=y,x=[0,1])\nplt.title('downsampled data class count')\nplt.ylabel('count')","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:15:58.269974Z","iopub.execute_input":"2021-06-25T13:15:58.270325Z","iopub.status.idle":"2021-06-25T13:15:58.398070Z","shell.execute_reply.started":"2021-06-25T13:15:58.270285Z","shell.execute_reply":"2021-06-25T13:15:58.397112Z"},"trusted":true},"execution_count":15,"outputs":[{"execution_count":15,"output_type":"execute_result","data":{"text/plain":"Text(0, 0.5, 'count')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"#### 7. make_classification 데이터 만들기 \n* 사이킷런 패키지는 분류 모형의 테스트를 위해make_classification 와 make_blob 라는 가상 데이터 생성 함수를 제공한다.\n* 쉽게 시각화할 수 있도록 make_classification 방법을 사용하여 작은 불균형 샘플 데이터 세트를 생성한다. \n\nhttps://taeguu.tistory.com/15","metadata":{}},{"cell_type":"code","source":"from sklearn.datasets import make_classification\n\n\nX,y=make_classification(\n n_classes=2, class_sep=1.5, weights=[0.9,0.1],\n n_informative=3, n_redundant=1, flip_y=0,\n n_features=20, n_clusters_per_class=1,\n n_samples=1000, random_state=10\n\n)\n\ndf=pd.DataFrame(X)\ndf['target']=y\ndf.target.value_counts().plot(kind=\"bar\",title='Count(target)')","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:20:53.095897Z","iopub.execute_input":"2021-06-25T13:20:53.096259Z","iopub.status.idle":"2021-06-25T13:20:53.224784Z","shell.execute_reply.started":"2021-06-25T13:20:53.096224Z","shell.execute_reply":"2021-06-25T13:20:53.223976Z"},"trusted":true},"execution_count":18,"outputs":[{"execution_count":18,"output_type":"execute_result","data":{"text/plain":""},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":"df.head()","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:23:31.101971Z","iopub.execute_input":"2021-06-25T13:23:31.102333Z","iopub.status.idle":"2021-06-25T13:23:31.128422Z","shell.execute_reply.started":"2021-06-25T13:23:31.102299Z","shell.execute_reply":"2021-06-25T13:23:31.127163Z"},"trusted":true},"execution_count":21,"outputs":[{"execution_count":21,"output_type":"execute_result","data":{"text/plain":" 0 1 2 3 4 5 6 \\\n0 0.600131 -1.427664 -0.812843 0.186196 -0.446072 0.961538 -0.108172 \n1 0.253641 -1.456387 -0.522598 -1.200570 -0.595553 -1.588192 -0.489398 \n2 0.182256 -1.279602 0.678077 -0.107072 -1.891533 1.219016 0.131442 \n3 -0.313907 -2.714269 -0.461789 0.451429 0.299209 1.311730 0.320658 \n4 -1.262870 0.119181 -1.234628 0.253147 1.551433 1.651135 -0.034720 \n\n 7 8 9 ... 11 12 13 14 \\\n0 -0.121374 -0.064468 -1.331016 ... -0.139450 0.030954 -0.517951 -0.429622 \n1 0.752679 -0.433422 1.552543 ... -0.753243 0.655625 0.612429 -1.190286 \n2 0.766967 -1.461127 -0.505163 ... 0.361457 0.535316 -1.117117 0.500309 \n3 -1.460665 -1.075703 0.303755 ... -0.850576 -2.456657 -0.533510 -1.476944 \n4 -0.633148 -1.769543 -0.164800 ... 1.080204 -0.765970 -0.633663 -2.961579 \n\n 15 16 17 18 19 target \n0 -0.450095 2.303853 -0.553024 0.148770 -1.247959 0 \n1 0.197738 1.001912 1.694093 -0.249699 0.270857 0 \n2 -0.062337 -1.664217 -0.811151 -0.287336 -1.234176 0 \n3 0.430563 -1.735455 -2.002849 1.215284 -0.500204 0 \n4 1.494173 -2.712421 -0.617613 -1.445949 -1.485457 0 \n\n[5 rows x 21 columns]","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 \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 \n \n \n \n \n \n \n \n \n \n \n
0123456789...111213141516171819target
00.600131-1.427664-0.8128430.186196-0.4460720.961538-0.108172-0.121374-0.064468-1.331016...-0.1394500.030954-0.517951-0.429622-0.4500952.303853-0.5530240.148770-1.2479590
10.253641-1.456387-0.522598-1.200570-0.595553-1.588192-0.4893980.752679-0.4334221.552543...-0.7532430.6556250.612429-1.1902860.1977381.0019121.694093-0.2496990.2708570
20.182256-1.2796020.678077-0.107072-1.8915331.2190160.1314420.766967-1.461127-0.505163...0.3614570.535316-1.1171170.500309-0.062337-1.664217-0.811151-0.287336-1.2341760
3-0.313907-2.714269-0.4617890.4514290.2992091.3117300.320658-1.460665-1.0757030.303755...-0.850576-2.456657-0.533510-1.4769440.430563-1.735455-2.0028491.215284-0.5002040
4-1.2628700.119181-1.2346280.2531471.5514331.651135-0.034720-0.633148-1.769543-0.164800...1.080204-0.765970-0.633663-2.9615791.494173-2.712421-0.617613-1.445949-1.4854570
\n

5 rows × 21 columns

\n
"},"metadata":{}}]},{"cell_type":"markdown","source":"resampling 없이 make_classification으로 생성한 데이터로 로지스틱 회귀분석 모형의 데이터를 적합 및 예측하고 출력 점수를 관찰해보기","metadata":{}},{"cell_type":"code","source":"def logistic(X,y):\n X_train,X_test,y_train,y_test=train_test_split(X,y,test_size=0.2,random_state=1)\n lr=LogisticRegression()\n lr.fit(X_train,y_train)\n prob=lr.predict_proba(X_test)\n return (prob[:,1],y_test)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:25:35.663641Z","iopub.execute_input":"2021-06-25T13:25:35.664044Z","iopub.status.idle":"2021-06-25T13:25:35.669780Z","shell.execute_reply.started":"2021-06-25T13:25:35.664011Z","shell.execute_reply":"2021-06-25T13:25:35.668655Z"},"trusted":true},"execution_count":22,"outputs":[]},{"cell_type":"code","source":"probs,y_test=logistic(X,y)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:25:51.173987Z","iopub.execute_input":"2021-06-25T13:25:51.174359Z","iopub.status.idle":"2021-06-25T13:25:51.207259Z","shell.execute_reply.started":"2021-06-25T13:25:51.174325Z","shell.execute_reply":"2021-06-25T13:25:51.206276Z"},"trusted":true},"execution_count":23,"outputs":[]},{"cell_type":"markdown","source":"PR curve와 roc curve를 그리기 위한 함수 정의하기","metadata":{}},{"cell_type":"code","source":"def plot_pre_curve(y_test,probs):\n precision, recall, thresholds = precision_recall_curve(y_test,probs)\n plt.plot([0,1],[0.5,0.5],linestyle='--')\n plt.plot(recall,precision,marker='.')\n plt.title(\"precision recall curve\")\n plt.xlabel('Recall')\n plt.ylabel('precision')\n plt.show()\n\ndef plot_roc(y_test,prob):\n fpr,tpr,thresholds = roc_curve(y_test,probs)\n plt.plot([0,1],[0,1],linestyle='--')\n plt.plot(fpr,tpr,marker='.')\n plt.title('ROC curve')\n plt.xlabel('false positive rate')\n plt.ylabel('true positive rage')\n plt.show()","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:30:24.735195Z","iopub.execute_input":"2021-06-25T13:30:24.735603Z","iopub.status.idle":"2021-06-25T13:30:24.743274Z","shell.execute_reply.started":"2021-06-25T13:30:24.735566Z","shell.execute_reply":"2021-06-25T13:30:24.742048Z"},"trusted":true},"execution_count":24,"outputs":[]},{"cell_type":"code","source":"plot_pre_curve(y_test,probs)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:30:40.750146Z","iopub.execute_input":"2021-06-25T13:30:40.750497Z","iopub.status.idle":"2021-06-25T13:30:40.886599Z","shell.execute_reply.started":"2021-06-25T13:30:40.750463Z","shell.execute_reply":"2021-06-25T13:30:40.885494Z"},"trusted":true},"execution_count":25,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":"plot_roc(y_test,probs)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:30:55.604998Z","iopub.execute_input":"2021-06-25T13:30:55.605354Z","iopub.status.idle":"2021-06-25T13:30:55.730134Z","shell.execute_reply.started":"2021-06-25T13:30:55.605321Z","shell.execute_reply":"2021-06-25T13:30:55.729088Z"},"trusted":true},"execution_count":26,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":" 데이터 분포를 확인하기 위해 2차원 플롯함수 plot_2d_space 만들기 ","metadata":{}},{"cell_type":"code","source":"def plot_2d_space(X_train, y_train,X=X,y=y ,label='Classes'): \n colors = ['#1F77B4', '#FF7F0E']\n markers = ['o', 's']\n \n fig,(ax1,ax2)=plt.subplots(1,2, figsize=(8,4))\n \n for l, c, m in zip(np.unique(y), colors, markers):\n ax1.scatter(\n X_train[y_train==l, 0],\n X_train[y_train==l, 1],\n c=c, label=l, marker=m\n )\n for l, c, m in zip(np.unique(y), colors, markers):\n ax2.scatter(\n X[y==l, 0],\n X[y==l, 1],\n c=c, label=l, marker=m\n )\n \n ax1.set_title(label)\n ax2.set_title('original data')\n plt.legend(loc='upper right')\n plt.show()","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:07:23.934008Z","iopub.execute_input":"2021-06-25T14:07:23.934380Z","iopub.status.idle":"2021-06-25T14:07:23.942629Z","shell.execute_reply.started":"2021-06-25T14:07:23.934345Z","shell.execute_reply":"2021-06-25T14:07:23.941477Z"},"trusted":true},"execution_count":34,"outputs":[]},{"cell_type":"markdown","source":"#### 8. 차원축소, 군집화(clustering)\n\n* t-SNE 알고리즘(차원축소 알고리즘)을 이해하기 위해 알아야할 개념 \n - Euclidean Distance\n - Conditional Probability\n - Normal and T-Distribution Plots\n \n\n* 차원축소 알고리즘\n - T-sne\n - PCA\n - Truncated SVD\n \n\n* t-sne 알고리즘\n: sne 학습과정에서 가우시안 분포대신 t분포를 사용한다. \nhttps://m.blog.naver.com/xorrms78/222112752837\n\n* Truncated SVD\n: https://ariz1623.tistory.com/219","metadata":{}},{"cell_type":"code","source":"# t-sne implementation \nt0 = time.time()\nX_reduced_tsne = TSNE(n_components=2,random_state=42).fit_transform(X)\nt1=time.time()\nprint(\"t-sne took {:.2} s\".format(t1-t0))\n\n# PCA Implementation\nt0 = time.time()\nX_reduced_pca = PCA(n_components=2,random_state=42).fit_transform(X)\nt1=time.time()\nprint(\"PCA took {:.2} s\".format(t1-t0))\n\n# TruncatedSVD\nt0 = time.time()\nX_reduced_svd = TruncatedSVD(n_components=2, algorithm='randomized', random_state=42).fit_transform(X)\nt1 = time.time()\nprint(\"Truncated SVD took {:.2} s\".format(t1 - t0))","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:48:58.263885Z","iopub.execute_input":"2021-06-25T13:48:58.264293Z","iopub.status.idle":"2021-06-25T13:49:05.525723Z","shell.execute_reply.started":"2021-06-25T13:48:58.264255Z","shell.execute_reply":"2021-06-25T13:49:05.524621Z"},"trusted":true},"execution_count":28,"outputs":[{"name":"stdout","text":"t-sne took 7.2 s\nPCA took 0.025 s\nTruncated SVD took 0.0045 s\n","output_type":"stream"}]},{"cell_type":"markdown","source":"위의 세가지 알고리즘 적용한 결과를 2차원 평면에 시각화한다.","metadata":{}},{"cell_type":"code","source":"f, (ax1,ax2,ax3) = plt.subplots(1,3,figsize=(24,6))\n# labels=['No Fraud','Fraud']\nf.suptitle('Clusters using Dimensionality Reduction',fontsize=14)\n\nblue_patch = mpatches.Patch(color='#0A0AFF', label='No Fraud')\nred_patch = mpatches.Patch(color='#AF0000', label='Fraud')\n\n\n# t-sne scatter plot\nax1.scatter(X_reduced_tsne[:,0], X_reduced_tsne[:,1], c=(y==0),cmap='coolwarm',label='No Fraud',linewidths=2)\nax1.scatter(X_reduced_tsne[:,0], X_reduced_tsne[:,1], c=(y==1), cmap='coolwarm', label='Fraud', linewidths=2)\nax1.set_title('t-SNE', fontsize=14)\nax1.grid(True)\nax1.legend(handles=[blue_patch, red_patch])\n\n# PCA scatter plot\nax2.scatter(X_reduced_pca[:,0], X_reduced_pca[:,1], c=(y==0), cmap='coolwarm', label='No Fraud', linewidths=2)\nax2.scatter(X_reduced_pca[:,0], X_reduced_pca[:,1], c=(y==1), cmap='coolwarm', label='Fraud', linewidths=2)\nax2.set_title('PCA', fontsize=14)\nax2.grid(True)\nax2.legend(handles=[blue_patch, red_patch])\n\n# TruncatedSVD scatter plot\nax3.scatter(X_reduced_svd[:,0], X_reduced_svd[:,1], c=(y==0), cmap='coolwarm', label='No Fraud', linewidths=2)\nax3.scatter(X_reduced_svd[:,0], X_reduced_svd[:,1], c=(y==1), cmap='coolwarm', label='Fraud', linewidths=2)\nax3.set_title('X_reduced_svd', fontsize=14)\nax3.grid(True)\nax3.legend(handles=[blue_patch, red_patch])","metadata":{"execution":{"iopub.status.busy":"2021-06-25T13:56:41.616274Z","iopub.execute_input":"2021-06-25T13:56:41.616723Z","iopub.status.idle":"2021-06-25T13:56:42.328770Z","shell.execute_reply.started":"2021-06-25T13:56:41.616683Z","shell.execute_reply":"2021-06-25T13:56:42.327936Z"},"trusted":true},"execution_count":29,"outputs":[{"execution_count":29,"output_type":"execute_result","data":{"text/plain":""},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"#### 9. 파이썬 imbalanced-learn module \n보다 정교한 resampling 기술이 제안되었다. 예를들어 수가 많은 클래스의 레코드를 클러스터링하고, 각 클러스터에 대해 레코드를 제거하여 undersampling을 수행하여 정보를 보존할 수 있다. oversampling의 경우엔 수가 적은 클래스의 레코드의 정확히 똑같은 복사본을 만드는 대신, 복사본에 작은 변형을 도입하여 다양한 합성 샘플을 만들 수 있다. 파이썬의 imbalanced learn 라이브러리를 통해 구현할 수 있다. ","metadata":{}},{"cell_type":"code","source":"import imblearn","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:02:39.295246Z","iopub.execute_input":"2021-06-25T14:02:39.295644Z","iopub.status.idle":"2021-06-25T14:02:39.451633Z","shell.execute_reply.started":"2021-06-25T14:02:39.295609Z","shell.execute_reply":"2021-06-25T14:02:39.450796Z"},"trusted":true},"execution_count":30,"outputs":[]},{"cell_type":"markdown","source":"##### 9-1. random undersampling with imbalanced-learn","metadata":{}},{"cell_type":"code","source":"from imblearn.under_sampling import RandomUnderSampler\n\nran = RandomUnderSampler() #intialize to return indices of dropped rows\nX_rs, y_rs = ran.fit_resample(X,y)\n\n## indices : index의 복수\nplot_2d_space(X_rs,y_rs,X,y,'Random under sampling')","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:08:27.854275Z","iopub.execute_input":"2021-06-25T14:08:27.854633Z","iopub.status.idle":"2021-06-25T14:08:28.118609Z","shell.execute_reply.started":"2021-06-25T14:08:27.854597Z","shell.execute_reply":"2021-06-25T14:08:28.117639Z"},"trusted":true},"execution_count":36,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"fit and predict on this data and observe the outcome","metadata":{}},{"cell_type":"code","source":"probs, y_test = logistic(X_rs,y_rs)\nplot_pre_curve(y_test,probs)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:09:42.534593Z","iopub.execute_input":"2021-06-25T14:09:42.535051Z","iopub.status.idle":"2021-06-25T14:09:42.735694Z","shell.execute_reply.started":"2021-06-25T14:09:42.535013Z","shell.execute_reply":"2021-06-25T14:09:42.734840Z"},"trusted":true},"execution_count":37,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":"plot_roc(y_test,probs)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:09:51.133623Z","iopub.execute_input":"2021-06-25T14:09:51.133975Z","iopub.status.idle":"2021-06-25T14:09:51.261370Z","shell.execute_reply.started":"2021-06-25T14:09:51.133944Z","shell.execute_reply":"2021-06-25T14:09:51.260322Z"},"trusted":true},"execution_count":38,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"iVBORw0KGgoAAAANSUhEUgAAAYIAAAEWCAYAAABrDZDcAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Z1A+gAAAACXBIWXMAAAsTAAALEwEAmpwYAAAsqklEQVR4nO3deXwU9f3H8deHcN9HuARCuE/vGLwFQUVUqEetZ7WXbdXa6q8KnkVt1Wo9amtVPOrRKipeqChWK4cIAh4NEEW5wyV3gEBCjs/vjxlqGgMskMlmd9/Px2MfzMx+d+czSdjPfuc78/mauyMiIqmrVrwDEBGR+FIiEBFJcUoEIiIpTolARCTFKRGIiKQ4JQIRkRSnRCAikuKUCCTpmNkSM9tuZlvNbLWZPWVmjSu0OdrM/m1mW8ws38zeMLO+Fdo0NbMHzGxZ+F4Lw/X06j0ikWgpEUiyOsPdGwOHAIcC1+98wsyOAt4FXgcOALoA/wGmmVnXsE1d4H2gHzAUaAocBawHsqMK2sxqR/XeIruiRCBJzd1XAxMJEsJOdwPPuPuf3X2Lu29w95uAGcDosM0PgQzgTHfPdfcyd1/j7re7+4TK9mVm/czsX2a2wcy+MbMbwu1Pmdnvy7UbaGbLy60vMbORZpYDFITL4yq895/N7MFwuZmZPWFmq8xshZn93szS9u8nJalMiUCSmpl1BE4FFoTrDYGjgZcqaf4icFK4PAR4x923xrifJsB7wDsEvYzuBD2KWJ0PnAY0B8YCw8L3JPyQPxd4Lmz7FFAS7uNQ4GTgp3uxL5H/oUQgyeo1M9sC5AFrgN+F21sS/N2vquQ1q4Cd5/9b7aLNrpwOrHb3e929MOxpfLwXr3/Q3fPcfbu7LwU+Bc4MnzsR2ObuM8ysLTAM+I27F7j7GuB+4Ly92JfI/1AikGT1PXdvAgwEevPtB/xGoAxoX8lr2gPrwuX1u2izK52AhfsUaSCvwvpzBL0EgAv4tjfQGagDrDKzTWa2CXgUaLMf+5YUp0QgSc3dJxOcSvlTuF4ATAe+X0nzc/n2dM57wClm1ijGXeUBXXfxXAHQsNx6u8pCrbD+EjAwPLV1Jt8mgjygCEh39+bho6m794sxTpHvUCKQVPAAcJKZHRyujwIuMbOrzKyJmbUIB3OPAm4N2zxL8KH7spn1NrNaZtbKzG4ws2GV7ONNoL2Z/cbM6oXvOyB87nOCc/4tzawd8Js9Bezua4FJwN+Bxe7+Rbh9FcEVT/eGl7fWMrNuZnbC3v5QRHZSIpCkF36oPgPcEq5/CJwCnEUwDrCUYND1WHf/OmxTRDBg/CXwL2AzMJPgFNN3zv27+xaCgeYzgNXA18Cg8OlnCS5PXULwIf5CjKE/F8bwXIXtPwTqArkEp7rGsXensUT+h2liGhGR1KYegYhIilMiEBFJcUoEIiIpTolARCTFJVyBq/T0dM/MzIx3GCIiCeWTTz5Z5+6tK3su4RJBZmYms2fPjncYIiIJxcyW7uo5nRoSEUlxSgQiIilOiUBEJMUpEYiIpDglAhGRFBdZIjCzJ81sjZnN3cXzZmYPmtkCM8sxs8OiikVERHYtyh7BUwSTfu/KqUCP8HEZ8HCEsUgyy5sJU+8N/hVJVhH+nUd2H4G7TzGzzN00GUEwgbgDM8ysuZm1D+uti8Qmbyb8fRiUFYPVgrb9oV7TeEclUqVKC/OptWYe5g6168Ml46FTdpW9fzzHCDrwv9PzLQ+3fYeZXWZms81s9tq1a6slOEkQS6YGSQDAy6AwP77xiFSx/O3FfLPmm+DvG4fSHcHffRVKiDuL3X0MMAYgKytLEyjItzKPC3oCXga1G8DZj1fpNyWReMnfXsydE75g7Pw8hjVfxl+KR5NWVgxpdYO/+yoUz0SwgmDC7506httEYtcpOzgdVJivJCBJo7TMOfvhj1i0dis/P6ErVw8ZStrqw4OeQOZxVf53Hs9EMB640szGAgOAfI0PyD6p1zR4KAlIgttYsIPmDeuQVsv47cm9OKB5fQ7q2Dx4slN2ZH/jkSUCM3seGAikm9ly4HdAHQB3fwSYAAwDFgDbgB9FFYuISE3m7rz2+QpufSOXkUN7c352BkP7t6u2/Ud51dD5e3jegSui2r+ISCJYuWk7N746hw/mr+XQjOZkdW5R7TEkxGCxiEgyev3zFdz46lxKy5xbTu/LJUdnklbLqj0OJQIRkThp1qAOh3Rqzp1nHUinlg3jFocSgYhINSkpLeOJDxdTXFrGlSf2YGCvNpzQszVm1d8LKE+JQESkGuSu3MzIl3OYsyKf0w5qj7tjZnFPAqBEkNjyZkZ2XXFCKdoc3EeQNzO1fw5SIxWVlPLXfy/g4UkLad6wDn+78DBO7d+uRiSAnZQIEpVq7ASKNsPqnGD56eFVXoNFZH8tWbeNRyYvZPghB3DzaX1p0ahuvEP6Ds1HkKhUYydQ/rgjqMEisi8Kikp47bOgUEKvdk14/5qB3HfuITUyCYB6BIlLNXYCeTODnkDpjkhqsIjsralfr+X6V+awYtN2+ndoSvc2TchoFb8rgmKhRJCoVGMn0Ck7OB2ksRKJs/xtxfxhQi4vzl5O1/RGvHDZUXRv0yTeYcVEiSCRqcZOIMIaLCKxKC1zzn7kIxavK+Dygd24anAP6tdJi3dYMVMiEBHZRxsKdtC8QVAk7tpTetGheQP6d2gW77D2mgaLRUT2krvz8ifLGfSnSYydFcyvdUq/dgmZBEA9AhGRvbJ84zZueHUuU75ay+GdW5DdpWW8Q9pvSgQiIjF69bPl3PTqXBy4dXg/Lj6yM7XiUCSuqikRiIjEqGWjehye2ZI7zuxPxxY1+5LQvaFEsCc1uYyDSiuIRKq4tIzHpi6ipNS5anAPTujZmuN7pNeo8hBVQYlgd2pyGQeVVhCJ1NwV+Yx8OYd5KzdzxsEH1KgicVVNiWB3KivjUFMSQWWlFZQIRPZbYXEpD77/NY9OWUSLhnV55KLDGNq/fbzDipQSwe7U5DIOKq0gEoml67fx2NRFnHVoB246rS/NGtaJd0iRUyLYnZpcxkGlFUSqTEFRCRPnreaswzrSq10T/v1/A+M6Y1h1UyLYk5pcxkGlFUT22+Sv1nLDK3NYmb+dgzo2o3ubJimVBECJQERS1MaCHdz+Vi6vfLqCbq0b8dLPE6dIXFVTIhCRlLOzSNzS9du4clB3rjyxe0IViatqSgQikjLWby2iRcO6pNUyRg3tTYcWDeh3QGLWB6pKKjonIknP3Xlxdh6D/jSJ52ctA+Dkfu2UBELqEYhIUsvbsI0bXp3D1K/XkZ3ZkqO6top3SDWOEoGIJK1XPl3OTa/NxYDbv9efC7MzkqJIXFVLnUSwrzWDVM9HJGGlN65HdpeW/OHMA+nQvEG8w6mxUiMR7GvNINXzEUkoxaVlPDp5IaVl8OshPTi+Z2uO79k63mHVeKkxWFxZzaBYVFbPR0RqpLkr8hn+12n86d2vWLRuK+4e75ASRmr0CPa1ZpDq+YjUeIXFpTzw3tc8NnURLRvV5dGLD+eUfu3iHVZCiTQRmNlQ4M9AGvC4u99V4fkM4GmgedhmlLtPqPJA9rVmkOr5iNR4yzZs44kPF3HOYR25YViflCgSV9UiSwRmlgY8BJwELAdmmdl4d88t1+wm4EV3f9jM+gITgMxIAtrXmkGq5yNS42wpLOaduav5flYnerZtwge/HZhUM4ZVtyh7BNnAAndfBGBmY4ERQPlE4MDOUdtmwMoI4xGRJPDBl2u48dU5rN5cyKEZzenepomSwH6KMhF0APLKrS8HBlRoMxp418x+BTQChlT2RmZ2GXAZQEZGRpUHKiI134aCHdz+Zi6vfraCHm0aM+6XR6dskbiqFu/B4vOBp9z9XjM7CnjWzPq7e1n5Ru4+BhgDkJWVpUsBRFJMaZlzzsMfsWzDNq4a3IMrBnWjXu3ULRJX1aJMBCuATuXWO4bbyvsJMBTA3aebWX0gHVgTYVwikiDWbimiVaOgSNwNw/rQoUUD+rSvIdPFJpEo7yOYBfQwsy5mVhc4Dxhfoc0yYDCAmfUB6gNrI4xJRBKAu/PCrGWceO8knpsZFIkb0retkkBEIusRuHuJmV0JTCS4NPRJd59nZrcBs919PPB/wGNmdjXBwPGlrrtARFLasvXbGPVKDh8tXM+ALi05tnt6vENKepGOEYT3BEyosO2Wcsu5wDFRxiAiiWPcJ8u5+bW5pNUy/nBmf84/QkXiqkO8B4tFRP6rbdN6HN2tFb8/sz/tm6lIXHVRIhCRuNlRUsbDkxZS5s7VJ/XkuB6tOa6HisRVNyUCEYmL/+Rt4rpxOcz/ZgtnHdoBd8dMp4HiQYlARKrV9h2l3Pev+Tzx4WLaNKnP4z/MYkjftvEOK6UpEYhItcrbuI2nP1rKedkZjDq1N03rq0hcvCkRiEjkNodF4s4Ni8RNunYgB2jGsBpDiUBEIvXvL7/hhlfmsmZLIYdltKB7m8ZKAjWMEoGIRGL91iJuezOX1z9fSa+2TXjk4sPp3qZxvMOSSigRiEiVKy1zvv/IdPI2buPqIT355cBu1K2dGjPjJiIlAhGpMmu2FJLeqB5ptYwbT+tDxxYN6dVOpaJruphTtJlp5gcRqVRZmfPPj5dy4p8m88+wSNzgPm2VBBLEHhOBmR1tZrnAl+H6wWb2t8gjE5GEsGRdARc8PoMbX53LQR2bcYLuDE44sZwauh84hbCEtLv/x8yOjzQqEUkIL87O4+bX5lI3rRZ3nXUgPziik+4OTkAxjRG4e16FX25pNOGISCLp0LwBx/dsze0j+tOuWf14hyP7KJZEkGdmRwNuZnWAXwNfRBuWiNRERSWl/O2Dhbg715zci2O6p3OM5gtIeLEkgl8AfyaYjH4F8C5wRZRBiUjN89myjYx8OYevvtnK2Yd1VJG4JLLHRODu64ALqyEWEamBtu0o4d53v+LJaYtp17Q+T16axYm9VSQumewxEZjZg5VszieYbvL1qg9JRGqSFRu38+yMpVw4IIORQ3vTREXikk4sp4bqA72Bl8L1s4HFwMFmNsjdfxNRbCISJ/nbi3l7zirOy86gR9smTL52oGYMS2KxJIKDgGPcvRTAzB4GpgLHAnMijE1E4uDdeau56bW5rC/YQVZmS7q3aawkkORiSQQtgMYEp4MAGgEt3b3UzIoii0xEqtW6rUWMHj+PN3NW0btdEx6/JEtF4lJELIngbuBzM5sEGHA8cIeZNQLeizA2EakmpWXOOQ9/xMpNhfz25J78/IRu1ElTkbhUEctVQ0+Y2QQgO9x0g7uvDJevjSwyEYncN5sLad04KBL3uzP60bFFA3q0VX2gVBNryi8EVgEbge4qMSGS2MrKnGdnLGXwvZP558dLARjUu42SQIqK5fLRnxLcTdwR+Bw4EpgOnBhpZCISiUVrtzLqlTnMXLyBY7unM7BXm3iHJHEWyxjBr4EjgBnuPsjMegN3RBuWiEThhVnLuOX1edSrXYu7zzmI7x/eUXcHS0yJoNDdC80MM6vn7l+aWa/IIxORKtexRUMG9gqKxLVpqiJxEoglESw3s+bAa8C/zGwjsDTKoESkahSVlPKX9xcA8NtTVCROKhfLVUNnhoujzewDoBnwTqRRich++2TpBq4bl8PCtQWcm6UicbJru00EZpYGzHP33gDuPrlaohKRfVZQVMI9E+fz9PQlHNCsAU//OJsTemrWMNm13V4+GpaVmG9mGfvy5mY21Mzmm9kCMxu1izbnmlmumc0zs+f2ZT8i8q2Vm7bz3Mxl/PDIzky8+nglAdmjWEtMzDOzmUDBzo3uPnx3Lwp7Ew8BJwHLgVlmNt7dc8u16QFcT1DLaKOZ6To2kX2Qv62Yt+as4oIBQZG4qdcNoq0GgyVGsSSCm/fxvbOBBe6+CMDMxgIjgNxybX4GPOTuGwHcfc0+7kskZb0zdzU3vz6XDQU7GNC1Jd1aN1YSkL0Sy2Dxvo4LdADyyq0vBwZUaNMTwMymAWnAaHf/zkC0mV0GXAaQkbFPZ6lEks6aLYWMHj+PCXNW07d9U/5+6RF0a60icbL3Ypq8PuL99wAGEty5PMXMDnT3TeUbufsYYAxAVlaWV3OMIjVOaZlz7iPTWZlfyLWn9OKy47uqSJzssygTwQqgU7n1juG28pYDH7t7MbDYzL4iSAyzIoxLJGGtyt9O2yb1gyJxw/vRqUVDlYqW/RbTVwgza7APdxPPAnqYWRczqwucB4yv0OY1gt4AZpZOcKpo0V7uRyTplZU5T01bzOB7J/OPnUXierVREpAqscdEYGZnEBSbeydcP8TMKn6gf4e7lwBXAhOBL4AX3X2emd1mZjuvOJoIrDezXOAD4Fp3X79PRyKSpBas2cq5j05n9Bu5ZGW25MTeurhOqlYsp4ZGE1wBNAnA3T83sy6xvLm7TwAmVNh2S7llB64JHyJSwdiZy7hl/Dwa1Enj3u8fzFmHddDdwVLlYkkExe6eX+GPTwO2ItUgo1VDhvRpw63D+9O6Sb14hyNJKpZEMM/MLgDSwhvArgI+ijYskdRUWFzKg+9/DcB1Q3tzdLd0ju6mInESrVgGi38F9AOKgOcIJrH/TYQxiaSk2Us2MOzBqfxt0kI2FOwgOHMqEr1YegS93f1G4MaogxFJRVuLSrjnnS95ZsZSOjRvwDM/zuZ41QeSahRLIrjXzNoB44AX3H1uxDGJpJTV+dsZOyuPS47K5NpTetGoXrzv85RUs8dTQ+4+CBgErAUeNbM5ZnZT5JGJJLGNBTt4dkZwP0D3NkGRuNHD+ykJSFzEdEOZu6929weBXxDcU3DL7l8hIpVxdybMWcVJ90/m1vHzWLh2K4CmjZS42uPXDzPrA/wAOBtYD7wA/F/EcYkknTWbC7n59blMnPcNB3ZoxjM/HqAicVIjxNIPfZLgw/8Ud18ZcTwiSam0zPn+o9NZnV/I9af25ifHdqG2isRJDRFLGeqjqiMQkWS0ctN22jUNisTdNqI/nVo0oKt6AVLD7PIriZm9GP47x8xyyj3mmFlO9YUoknhKy5y/VygSd0LP1koCUiPtrkfw6/Df06sjEJFksWDNFq4bl8OnyzYxsFdrBvdpG++QRHZrl4nA3VeFi5e7+8jyz5nZH4GR332VSGp77uNljB4/j0b10rj/BwfzvUNUJE5qvlhGq06qZNupVR2ISDLITG/Iyf3a8q9rTuDMQzsqCUhC2GWPwMx+CVwOdK0wJtAEmBZ1YCKJoLC4lPvf+wrDGHWqisRJYtrdGMFzwNvAncCoctu3uPuGSKMSSQAfL1rPqFfmsHhdARcOyMDd1QOQhLS7RODuvsTMrqj4hJm1VDKQVLWlsJg/vvMl/5ixjIyWDXnupwM4urt6AZK49tQjOB34hGAimvJfdRzoGmFcIjXWN5uLGPfJcn56bBeuObknDeuqPpAktt1dNXR6+G9M01KKJLMNBTt4K2clFx+VSfc2jZl63YmaMUySRiy1ho4BPnf3AjO7CDgMeMDdl0UenUicuTtv5qxi9Ph5bC4s5pju6XRt3VhJQJJKLJePPgxsM7ODCYrNLQSejTQqkRrgm82F/OyZT/jV85/RoUUD3vjVsbozWJJSLCc3S9zdzWwE8Fd3f8LMfhJ1YCLxVFrmnBsWibtxWB9+dEymisRJ0oolEWwxs+uBi4HjzKwWUCfasETiY/nGbbRv1oC0WsbtI/qT0bIhmemN4h2WSKRi+YrzA4KJ63/s7quBjsA9kUYlUs1Ky5zHpy5iyH2T+Uc4c9jxPVsrCUhKiKUM9Woz+ydwhJmdDsx092eiD02kesxfvYXrXs7hP3mbGNy7DSf3U5E4SS2xXDV0LkEPYBLBvQR/MbNr3X1cxLGJRO4fM5Zy6xvzaFK/Dn8+7xCGH3yA7g6WlBPLGMGNwBHuvgbAzFoD7wFKBJKwdpaD6N6mMcMObM8tp/elVWNdEiqpKZZEUGtnEgitJ8ZJ70Vqmu07SrnvX/OpVcu4/tQ+HNm1FUd2bRXvsETiKpZE8I6ZTQSeD9d/AEyILiSRaExfuJ5Rr+SwdP02Lj6ys4rEiYRiGSy+1szOAo4NN41x91ejDUuk6mwuLObOCV/y/MxldG7VkOd+NkClokXKibVa1kdAKVAGzIouHJGqt2ZzEa99toLLju/K1UN60qBuWrxDEqlR9niu38x+CswEzgTOAWaY2Y9jeXMzG2pm881sgZmN2k27s83MzSwr1sBFdmf91iKemrYYgO5tGvPhyEHcMKyPkoBIJWLpEVwLHOru6wHMrBVBD+HJ3b3IzNKAhwimulwOzDKz8e6eW6FdE+DXwMd7H77I/3J3xv9nJaPHz2NrUQnH92xN19aNdUWQyG7EcvXPemBLufUt4bY9yQYWuPsid98BjAVGVNLuduCPQGEM7ymySys3becnT8/m12M/p3OrRrx11XEqEicSg1h6BAuAj83sdYIJaUYAOWZ2DYC737eL13UA8sqtLwcGlG9gZocBndz9LTO7dlcBmNllwGUAGRkZMYQsqaaktIzzxsxg7ZYibj69L5cenUlaLV0RJBKLWBLBwvCx0+vhv032Z8dh8br7gEv31NbdxwBjALKysnx/9ivJJW/DNg5o3oDaabW448wDyWjZkIxWDeMdlkhCieXy0Vv38b1XAJ3KrXcMt+3UBOgPTAqv5W4HjDez4e4+ex/3KSmipLSMJ6ct5t53v+L6U3tz6TFdOLaHLgkV2RdRTrY6C+hhZl0IEsB5wAU7n3T3fOC//3PNbBLwWyUB2ZMvVm1m5Ms55CzP56S+bTn1wPbxDkkkoUWWCNy9xMyuBCYCacCT7j7PzG4DZrv7+Kj2Lcnr2elLuPWNXJo1qMNfLziU0w5sr7uDRfZTlD0C3H0CFcpRuPstu2g7MMpYJLHtLAfRs20Tzjj4AG4+vS8tG9WNd1giSSGWMtQ9CeYtbuvu/c3sIGC4u/8+8ugk5W3bUcKfJn5F7TTjhmF9GNC1FQNUJE6kSsVyH8FjwPVAMYC75xCc7xeJ1LQF6zjlgSk8OW0xO0rKcNcFYyJRiOXUUEN3n1nhPGxJRPGIkL+9mDve+oIXZufRJb0RL/78KLK7tIx3WCJJK5ZEsM7MuhHcTIaZnQOsijQqSWnrthbxRs5KfnFCN34zpAf166g+kEiUYkkEVxDczNXbzFYAi4GLIo1KUs7aLUW88Z+V/PjYLnRr3ZgPR56owWCRahLLDWWLgCFm1ohgtrIte3qNSKzcndc+X8Gtb+SyraiUQb3b0CW9kZKASDWK5aqhWyqsA+Dut0UUk6SIFZu2c+Orc5g0fy2HZTTn7nMOokt6o3iHJZJyYjk1VFBuuT5wOvBFNOFIqgiKxE1n/dYdjD6jLxcfpSJxIvESy6mhe8uvm9mfCO4WFtlry9Zvo0OLoEjcXWcdREbLhnRqqSJxIvEUy30EFTUkKCAnErOS0jIenrSQIfdP5pnpSwA4pnu6koBIDRDLGMEcwktHCWoGtQY0PiAxm7cyn5Ev5zB3xWZO6deW01QkTqRGiWWM4PRyyyXAN+6uG8okJk9/tITb38ylecO6PHzhYaoUKlID7TYRhPMOT3T33tUUjySJnUXierdrwohDOnDz6X1o3lCXhIrURLtNBO5eambzzSzD3ZdVV1CSuAqKSrhn4nzqpBk3ntZXReJEEkAsp4ZaAPPMbCblLiV19+GRRSUJacpXa7n+lTmszN/OJUdl/rdXICI1WyyJ4ObIo5CElr+tmNvfymXcJ8vp2jooEndEporEiSSKWBLBMHcfWX6Dmf0RmBxNSJJo1hUU8facVVw+sBtXDVaROJFEE8t9BCdVsu3Uqg5EEsuaLYU8PnURwH+LxF03tLeSgEgC2mWPwMx+CVwOdDWznHJPNQGmRR2Y1EzuzsufruD2N3PZXlzK4D5t6ZLeiBYqEieSsHZ3aug54G3gTmBUue1b3H1DpFFJjZS3YRs3vDqHqV+vI6tzC+46W0XiRJLBLhOBu+cD+cD51ReO1FQlpWWc/9gMNhbs4PYR/bhwQGdqqUicSFKIZbBYUtiSdQV0atmQ2mm1uPucoEhcxxaqDySSTPal6JykgOLSMh76YAEn3z/lv0Xiju6WriQgkoTUI5DvmLsin+vG5ZC7ajOnHdie0w86IN4hiUiElAjkf/x92mJ+/9YXtGxUl0cuOpyh/dvFOyQRiZgSgQDfFonrd0Azzjq0Azed1pdmDevEOywRqQZKBClua1EJd7/zJXXTanHT6X3J7tKS7C4qDyGSSjRYnMImzV/DKfdP4dkZS3GCXoGIpB71CFLQxoId3P5WLq98uoLubRoz7hdHc3jnFvEOS0TiRIkgBW3ctoN3533DVSd254oTu1OvtuoDiaSySE8NmdnQcGKbBWY2qpLnrzGzXDPLMbP3zaxzlPGksjWbCxkzZSHuTtfWjZk28kSuObmXkoCIRJcIwmkuHyKoVNoXON/M+lZo9hmQ5e4HAeOAu6OKJ1W5Oy/OymPwfZO5992vWLJ+G4CuCBKR/4ry1FA2sMDdFwGY2VhgBJC7s4G7f1Cu/QzgogjjSTl5G7Zx/Stz+HDBOrK7tOSusw5UkTgR+Y4oE0EHIK/c+nJgwG7a/4Sg2ul3mNllwGUAGRkZVRVfUttZJG7TtmJ+/73+XJCdoSJxIlKpGjFYbGYXAVnACZU97+5jgDEAWVlZusZxNxavKyAjLBJ3zzkH07lVQw5o3iDeYYlIDRblYPEKoFO59Y7htv9hZkOAG4Hh7l4UYTxJrbi0jL+8/zWn3D+Fpz9aAsBR3VopCYjIHkXZI5gF9DCzLgQJ4DzggvINzOxQ4FFgqLuviTCWpJazfBPXjcvhy9VbOOPgAxh+iIrEiUjsIksE7l5iZlcCE4E04El3n2dmtwGz3X08cA/QGHjJzACWufvwqGJKRk9+uJjfv5VL6yb1eOyHWZzUt228QxKRBBPpGIG7TwAmVNh2S7nlIVHuP5ntLBJ3UMdm/OCITow6tQ/NGuiSUBHZezVisFhit6WwmLve/pJ6tdO45Yy+ZGW2JCtTReJEZN+p6FwC+eDLNZx8/xSen7mM2mmmInEiUiXUI0gAGwp2cNsb83jt85X0bNuYv114NIdmqEiciFQNJYIEkL+9mPe/WMOvB/fgikHdqVtbHTkRqTpKBDXU6vxCXvt8BT8/vitd0hvx4agTNRgsIpFQIqhh3J2xs/K4460vKC4rY2i/dmSmN1ISEJHIKBHUIEvXFzDq5TlMX7SeI7u25K6zDiJTReJEJGJKBDVESWkZFzz2Mfnbi7njzAM574hOKhInItVCiSDOFq7dSuewSNy95wZF4to3U30gEak+uvwkTnaUlPHAe18x9IEpPDN9KQBHdm2lJCAi1U49gjj4PG8TI8flMP+bLYw45AC+d2iHeIckIilMiaCaPfHhYv7wVi5tmtTniUuyGNxHReJEJL6UCKrJziJxh3RqxnnZGYw6tTdN6+uSUBGJPyWCiG0uLObOCV9Sv04tfndGPw7v3JLDO6tInIjUHBosjtB7ud9w0n2TeWHWMurWrqUicSJSI6lHEIH1W4u49Y1cxv9nJb3bNWHMxVkc3Kl5vMMSEamUEkEEthSW8MH8NVw9pCe/HNhNReJEpEZTIqgiKzdt59XPVnD5wG5kpjdi2qgTNRgsIglBiWA/lZU5z81cxl1vf0lpmXPage3JTG+kJCAiCUOJYD8sXlfAqJdz+HjxBo7p3oo7zzyIjFYN4x2WiMheSZ1EULQZCvMhbyZ0yt7vtyspLeOixz9mc2Exd599EN/P6oiZisSJSOJJjUSQNxO+mQteBk8Ph0vG73MyWLBmC5mtGlE7rRb3/+AQOrdqSNum9as4YBGR6pMal7MsmRokAYDSHcH6XioqKeW+f33F0Aem8nRYJC67S0slARFJeKnRI8g8DqxWkAzS6gbre+HTZRsZOS6Hr9ds5axDO3CWisSJSBJJjUTQKRva9g/GCM5+fK9OCz02ZRF3vP0F7ZvW5+8/OoJBvdpEGKiISPVLjUQAUK9p8IgxCZSVObVqGYd1bs6FAzIYObQ3TXRJqIgkodRJBDHK317MH97KpUGdNG4d0V9F4kQk6aXGYHGMJs5bzUn3TeblT1fQqF5tFYkTkZSgHgGwbmsRv3t9Hm/NWUXf9k158tIj6N+hWbzDEhGpFkoEwNbCEqZ+vZZrT+nFZcd3pU6aOkoikjpSNhGs2LSdVz9dzhWDupOZ3oiPrh9M43op++MQkRQW6VdfMxtqZvPNbIGZjark+Xpm9kL4/MdmlhllPBBcDfTs9CWcfN9kHvpgIUvXbwNQEhCRlBXZp5+ZpQEPAScBy4FZZjbe3XPLNfsJsNHdu5vZecAfgR9EElDRZooLNjH6r0/yz5XtOK5HOneceSCdWqpInIiktih7BNnAAndf5O47gLHAiAptRgBPh8vjgMEWReW2vJn4N3OpvWUZN20YxRODy3jmx9lKAiIiRJsIOgB55daXh9sqbePuJUA+0KriG5nZZWY228xmr127du8jWTIVc8eA+lbK4PpfqVKoiEgoIS6Pcfcx7p7l7lmtW7fe+zfIPA5q1wdLw/ah1pCISDKLcoR0BdCp3HrHcFtlbZabWW2gGbC+yiPplB2Unl4yNUgCVTAfgYhIsogyEcwCephZF4IP/POACyq0GQ9cAkwHzgH+7VHdztspWwlARKQSkSUCdy8xsyuBiUAa8KS7zzOz24DZ7j4eeAJ41swWABsIkoWIiFSjSC+ed/cJwIQK224pt1wIfD/KGEREZPcSYrBYRESio0QgIpLilAhERFKcEoGISIqzRJt8xczWAkv38eXpwLoqDCcR6JhTg445NezPMXd290rvyE24RLA/zGy2u2fFO47qpGNODTrm1BDVMevUkIhIilMiEBFJcamWCMbEO4A40DGnBh1zaojkmFNqjEBERL4r1XoEIiJSgRKBiEiKS8pEYGZDzWy+mS0ws1GVPF/PzF4In//YzDLjEGaViuGYrzGzXDPLMbP3zaxzPOKsSns65nLtzjYzN7OEv9QwlmM2s3PD3/U8M3uuumOsajH8bWeY2Qdm9ln49z0sHnFWFTN70szWmNncXTxvZvZg+PPIMbPD9nun7p5UD4KS1wuBrkBd4D9A3wptLgceCZfPA16Id9zVcMyDgIbh8i9T4ZjDdk2AKcAMICvecVfD77kH8BnQIlxvE++4q+GYxwC/DJf7AkviHfd+HvPxwGHA3F08Pwx4GzDgSODj/d1nMvYIsoEF7r7I3XcAY4ERFdqMAJ4Ol8cBgy2xJzHe4zG7+wfuvi1cnUEwY1wii+X3DHA78EegsDqDi0gsx/wz4CF33wjg7muqOcaqFssxO9A0XG4GrKzG+Kqcu08hmJ9lV0YAz3hgBtDczNrvzz6TMRF0APLKrS8Pt1Xaxt1LgHygVbVEF41Yjrm8nxB8o0hkezzmsMvcyd3fqs7AIhTL77kn0NPMppnZDDMbWm3RRSOWYx4NXGRmywnmP/lV9YQWN3v7/32PIp2YRmoeM7sIyAJOiHcsUTKzWsB9wKVxDqW61SY4PTSQoNc3xcwOdPdN8QwqYucDT7n7vWZ2FMGsh/3dvSzegSWKZOwRrAA6lVvvGG6rtI2Z1SboTq6vluiiEcsxY2ZDgBuB4e5eVE2xRWVPx9wE6A9MMrMlBOdSxyf4gHEsv+flwHh3L3b3xcBXBIkhUcVyzD8BXgRw9+lAfYLibMkqpv/veyMZE8EsoIeZdTGzugSDweMrtBkPXBIunwP828NRmAS1x2M2s0OBRwmSQKKfN4Y9HLO757t7urtnunsmwbjIcHefHZ9wq0Qsf9uvEfQGMLN0glNFi6oxxqoWyzEvAwYDmFkfgkSwtlqjrF7jgR+GVw8dCeS7+6r9ecOkOzXk7iVmdiUwkeCKgyfdfZ6Z3QbMdvfxwBME3ccFBIMy58Uv4v0X4zHfAzQGXgrHxZe5+/C4Bb2fYjzmpBLjMU8ETjazXKAUuNbdE7a3G+Mx/x/wmJldTTBwfGkif7Ezs+cJknl6OO7xO6AOgLs/QjAOMgxYAGwDfrTf+0zgn5eIiFSBZDw1JCIie0GJQEQkxSkRiIikOCUCEZEUp0QgIpLilAikRjOzq8zsCzP7527aDDSzN6szrl0xs+E7K2Sa2ffMrG+5524Lb+qrrlgGmtnR1bU/SVxJdx+BJJ3LgSHuvjzegcQivK595z0M3wPeBHLD526p6v2ZWe2wXlZlBgJbgY+qer+SXNQjkBrLzB4hKD/8tpldbWbZZjY9rDv/kZn1quQ1J5jZ5+HjMzNrEm6/1sxmhfXbb93F/raa2f1hHf/3zax1uP2QsIBbjpm9amYtwu1X2bdzPIwNt11qZn8Nv4kPB+4JY+lmZk+Z2Tlhff2Xyu33vz0aMzs5PMZPzewlM2tcSZyTzOwBM5sN/NrMzrBgXo3PzOw9M2trwRwbvwCuDvd/nJm1NrOXw5/DLDM7Zn9+P5JE4l17Ww89dvcAlgDp4XJToHa4PAR4OVweCLwZLr8BHBMuNybo9Z5MULPeCL78vAkcX8m+HLgwXL4F+Gu4nAOcEC7fBjwQLq8E6oXLzcN/Ly33uqeAc8q9/1MEJU1qE5RFaBRufxi4iKA+zpRy20cCt1QS5yTgb+XWW/DtzaE/Be4Nl0cDvy3X7jng2HA5A/gi3r9fPWrGQ6eGJJE0A542sx4EH9p1KmkzDbgvHFN4xd2Xm9nJBMngs7BNY4JCbFMqvLYMeCFc/gfwipk1I/iQnxxufxrY+W0+B/inmb1GUOMnJh6UTXgHOMPMxgGnAdcRVITtC0wLy4DUBabv4m1eKLfcEXjBgpr0dYHFu3jNEKCvfTv1RlMza+zuW2ONXZKTEoEkktuBD9z9zPDUx6SKDdz9LjN7i6AWyzQzO4WgJ3Cnuz+6l/vbU/2V0whmkzoDuNHMDtyL9x4LXElQ62q2u2+x4BP6X+5+fgyvLyi3/BfgPncfb2YDCXoClakFHOnuyTBJj1QhjRFIImnGt+V2L62sgZl1c/c57v5HgsqVvQkKlv145/l2M+tgZm0qeXktglM3ABcAH7p7PrDRzI4Lt18MTLZgvoNO7v4BwSmcZgQ9jfK2EJTDrsxkgukIf0aQFCCokHqMmXUP42xkZj138fryyv9cLim3veL+36XcpC1mdkgM7y0pQIlAEsndwJ1m9hm77s3+xszmmlkOUAy87e7vEpwfn25mcwimJ63sA7oAyLZg0vATCcYDIPhwvSd8z0PC7WnAP8L3+wx40L87+ctY4NpwELdb+SfcvZRgrOLU8F/cfS1Bgns+3Nd0gkS2J6MJqsp+Aqwrt/0N4Mydg8XAVUBWOLidSzCYLKLqoyI7mdlWd//OVToiyU49AhGRFKcegYhIilOPQEQkxSkRiIikOCUCEZEUp0QgIpLilAhERFLc/wOr0Sd5Vr4JzgAAAABJRU5ErkJggg==\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"##### 9-2. random oversampling with imbalanced-learn","metadata":{}},{"cell_type":"code","source":"from imblearn.over_sampling import RandomOverSampler\n\nran=RandomOverSampler()\nX_ran, y_ran = ran.fit_resample(X,y)\n\nprint('the new data contains {} rows'.format(X_ran.shape[0]))\n\nplot_2d_space(X_ran,y_ran,X,y,'over-sampled')","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:11:38.182102Z","iopub.execute_input":"2021-06-25T14:11:38.182477Z","iopub.status.idle":"2021-06-25T14:11:38.433558Z","shell.execute_reply.started":"2021-06-25T14:11:38.182443Z","shell.execute_reply":"2021-06-25T14:11:38.432540Z"},"trusted":true},"execution_count":39,"outputs":[{"name":"stdout","text":"the new data contains 1800 rows\n","output_type":"stream"},{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"fit and predict on this data and observe the outcome","metadata":{}},{"cell_type":"code","source":"probs,y_test=logistic(X_ran,y_ran)\nplot_pre_curve(y_test,probs)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:12:11.645363Z","iopub.execute_input":"2021-06-25T14:12:11.645780Z","iopub.status.idle":"2021-06-25T14:12:11.838102Z","shell.execute_reply.started":"2021-06-25T14:12:11.645741Z","shell.execute_reply":"2021-06-25T14:12:11.837303Z"},"trusted":true},"execution_count":40,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":"plot_roc(y_test,probs)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:12:19.173675Z","iopub.execute_input":"2021-06-25T14:12:19.174035Z","iopub.status.idle":"2021-06-25T14:12:19.298508Z","shell.execute_reply.started":"2021-06-25T14:12:19.174002Z","shell.execute_reply":"2021-06-25T14:12:19.297551Z"},"trusted":true},"execution_count":41,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"#### 10. under-sampling : Tomek links\n토멕링크(Tomek’s link)란 서로 다른 클래스에 속하는 한 쌍의 데이터를 뜻한다.이러한 가까운 한 쌍의 데이터를 찾은 다음 그 중에서 다수 클래스(majority class)에 속하는 데이터를 제거하는 방법이다. 이렇게 다수 클래스를 제거함으로써 데이터 불균형 문제도 어느정도 해결이되면서 동시에 두 클래스간의 거리가 멀어지기 때문에 분류 문제를 조금 더 수월하게 만들어 준다. 하지만 여전히 데이터 손실에 대한 문제를 가지고 있기 때문에 유의해야 한다.\n\nhttps://seing.tistory.com/53","metadata":{}},{"cell_type":"code","source":"from imblearn.under_sampling import TomekLinks\n\ntl = TomekLinks()\n\nX_tl, y_tl = tl.fit_resample(X,y)\n\nplot_2d_space(X_tl, y_tl,X,y, 'Tomek links under-sampling')","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:20:36.502740Z","iopub.execute_input":"2021-06-25T14:20:36.503124Z","iopub.status.idle":"2021-06-25T14:20:36.950260Z","shell.execute_reply.started":"2021-06-25T14:20:36.503088Z","shell.execute_reply":"2021-06-25T14:20:36.949445Z"},"trusted":true},"execution_count":47,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":"probs,y_test=logistic(X_tl,y_tl)\nplot_pre_curve(y_test,probs)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:20:46.663202Z","iopub.execute_input":"2021-06-25T14:20:46.663582Z","iopub.status.idle":"2021-06-25T14:20:46.863346Z","shell.execute_reply.started":"2021-06-25T14:20:46.663545Z","shell.execute_reply":"2021-06-25T14:20:46.862554Z"},"trusted":true},"execution_count":48,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":"plot_roc(y_test,probs)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:20:53.454805Z","iopub.execute_input":"2021-06-25T14:20:53.455373Z","iopub.status.idle":"2021-06-25T14:20:53.677883Z","shell.execute_reply.started":"2021-06-25T14:20:53.455315Z","shell.execute_reply":"2021-06-25T14:20:53.675907Z"},"trusted":true},"execution_count":49,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"#### 11. over-sampling : SMOTE\n\n쉽게 설명하면, SMOTE는 k-nearest neighbour를 활용하여 소수 클래스(minority class)의 임의의 knn 데이터들을 추가하는 방법이다. 기존의 minority class 데이터들 사이를 보간하여 새로운 데이터를 추가하는 것이기 때문에 완전히 새로운 사례의 데이터의 예측에서는 취약할 수 있다.","metadata":{}},{"cell_type":"code","source":"from imblearn.over_sampling import SMOTE\n\nsmote = SMOTE()\nX_sm, y_sm = smote.fit_resample(X, y)\n\nplot_2d_space(X_sm, y_sm,X,y, 'SMOTE over-sampling')","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:25:03.622699Z","iopub.execute_input":"2021-06-25T14:25:03.623091Z","iopub.status.idle":"2021-06-25T14:25:03.919250Z","shell.execute_reply.started":"2021-06-25T14:25:03.623057Z","shell.execute_reply":"2021-06-25T14:25:03.918434Z"},"trusted":true},"execution_count":50,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":" fit and predict on this data and observe the outcome.","metadata":{}},{"cell_type":"code","source":"probs,y_test=logistic(X_sm,y_sm)\nplot_pre_curve(y_test,probs)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:25:42.822287Z","iopub.execute_input":"2021-06-25T14:25:42.822671Z","iopub.status.idle":"2021-06-25T14:25:43.012453Z","shell.execute_reply.started":"2021-06-25T14:25:42.822635Z","shell.execute_reply":"2021-06-25T14:25:43.011671Z"},"trusted":true},"execution_count":51,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"iVBORw0KGgoAAAANSUhEUgAAAYIAAAEWCAYAAABrDZDcAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Z1A+gAAAACXBIWXMAAAsTAAALEwEAmpwYAAAbTUlEQVR4nO3de3xdZZ3v8c+Xll6Quym3Nm2gFKEwXHMKqAyVi1MYbccbFBEF0Y4MVwdHQT3i6cFRZsRBPDBYFYoglMuMTkAE5CbVgaGpQKHFSiiFpMVpKIURWnr9nT/WCt3d2Ul2mqy9s7O+79drv7rXep6s9XuSdH+z1rP3WooIzMwsv7apdgFmZlZdDgIzs5xzEJiZ5ZyDwMws5xwEZmY55yAwM8s5B4HVJEnXSfrfZfRbKGly9hVlQ9JsSZenzydLaqt2TTb4DK12AWZbIyK+UGa/A7OuxazW+YjAqkbSoPhDRIlB8X9psPxMrHcGxS+vDRySlkq6VNIiSask3SBpRNo2WVKbpK9I+hNwg6RtJF0i6QVJKyXdLmnXgu29X9J/SnpdUqukM9P1hadM6iTdnfZ5TdLcjhfmtJ4T0ufDJV0laXn6uErS8KLaLpa0QtIrks7qZpyPSPqWpN8Bq4F9JO0v6ddpDYslnVLQf6SkKyW9JOkNSb+VNDJtu0PSn9L1j0raqqMYSQcW7P+/JX21+HtVONain9lXJC0A3kqf31m07e9Lujp9vpOkn6Tfo2WSLpc0ZGtqtoHBQWBZOB34K2A8sB/w9YK2PYBdgXHADOB84G+AY4G9gFXANQCSxgG/An4AjAIOBZ4qsb+Lgba0z+7AV4FS1075GnBUup1DgEklatsJGA2cDVwjaZduxnlGOoYdgHbg18AtwG7AdOBaSRPTvt8FjgDem47/y8CmtO1XwIT0634P/KybfZYkaQfgAeBeku/jvsCDvdjEacBfAzsDc4CT022Svsifko4NYDawId3HYcAHgc/1tmYbQCLCDz/67QEsBb5QsHwy8EL6fDKwDhhR0P4ccHzB8p7AepL5q0uBn3exn9nA5enzmcB/APt2Uc8J6fMXgJML2v4KWFpQ2xpgaEH7CuCoLvb/CDCzYPlUYG5Rnx8Cl5H8wbUGOKSM79/OJCG2U4lxTgbauvi604Ane/peldpO+j36bNHX/Bb4dPr8xIKf4e7AWmBk0b4frvbvnh9b//ARgWWhteD5SyR/oXZoj4i3C5bHAT9PT+u8ThIMG0lecOpJXrx78s9AC3C/pCWSLumi315pPV3VtjIiNhQsrwa272a/heMcBxzZMY50LKeTHGXUASNKjUXSEEnfSU+N/Q/JizLp1/RGud+rrrQWLd9C8gIP8Ek2Hw2MA7YFXikY5w9JjmasRjkILAv1Bc/HAssLlotP2bQCJ0XEzgWPERGxLG0b39POIuLPEXFxROwDTAX+XtLxJbouJ3kh66q23iocSyvwm6JxbB8R5wCvAm9TeiyfBKYBJ5CclmpI16uXtbQC+3TR9hawXcHyHiX6FP9c7gAmSxoDfITNQdBKckRQVzDOHcPvzqppDgLLwrmSxqSTvl8Dbuum73XAt9L5ACSNkjQtbfsZcIKkUyQNlfRuSYcWb0DShyTtK0nAGyRHFJuK+wG3Al9P91EHfAO4eWsHWeRuYD9JZ0jaNn38L0kHRMQm4Hrge5L2So8Cjk4nqncgeWFdSfJi/Y992P+eki5KJ8V3kHRk2vYUyTn/XSXtAVzU08Yiop3k9NcNwIsR8Vy6/hXgfuBKSTsqmewfL+nYrazbBgAHgWXhFpIXiyUkpysu76bv94EmktM6fwYeB44EiIiXSeYYLgZeI3lBO6TENiaQTJS+CTwGXBsRD5fodznQDCwAniGZmO2utrJFxJ9JJk2nkxxl/Am4AhiedvlSus956ViuIPn/91OSU1TLgEUk49/a/Z8IfDjd9/PAB9Lmm4CnSU473U/3wVzoFpIjlVuK1n8aGJbWuwq4k2Rux2qUInxjGus/kpYCn4uIB6pdi5mVx0cEZmY55yAwM8s5nxoyM8s5HxGYmeVczV1gqq6uLhoaGqpdhplZTZk/f/6rETGqVFvNBUFDQwPNzc3VLsPMrKZIeqmrNp8aMjPLOQeBmVnOOQjMzHLOQWBmlnMOAjOznMssCCRdn97y79ku2iXpakktkhZIOjyrWszMrGtZvn10NvD/SK6uWMpJJFeNnEBytcl/Tf/NRusTsHQujHw3rFmZ/Punp4GAPQ4tva6n9r6sy3LbHsvA3LbHMjC3vWYlNBwD9ZM6v27kRGZBEBGPSmropss04KeRXOPicUk7S9ozvd55/2p9AmZ/CDau7fdNm1mtEwwdAZ9pym0YVHOOYDRb3h6vLV3XiaQZkpolNbe3t/d+T0vnwsZ1W1WkmQ12kbw+LJ1b7UKqpiY+WRwRs4BZAI2Njb2/Sl7DMUnib1wLsYnkLoDFmym1rqf2vqzLctsey8DctscyYLetbeDlx+EX58CoA2HFsxABu+0Pa16H4TvCikXJ19btD2+vSta1/yHpVzcBhmwL44+ryaOKagbBMra8t+2YdF3/q5+UHPZ5jqD2tu2xDMxtD4axvLkC/nB38hqxaT08f3/xK0fv/faqmjzFVM0gaALOkzSHZJL4jUzmBzrUT6q5H46ZZWjulfCHeyh9e+uttHFt8gdnjb3WZBYEkm4FJgN1ktqAy4BtASLiOuAekvvRtgCrgbOyqsXMrJOGY2Do8IJTxl3pxSmm2JQccdSYmrsxTWNjY/jqo2bWLwrfVr61p6JeeRqWzU83KBh9OOx58Jb9BsBbVCXNj4jGUm01MVlsZpaJ/jhl3Dy7IAgief7OcoeB/RZVX2LCzKwv1qwso1Nsnj8YgBwEZmZ90XAMDB2ZvAW1OwN4/sCnhszM+qL47emFcwlP3Qxt8zb3bfn15vZDPjlgThM5CMzM+qqruYY3WrcMgo7PLQA8+TM485cDIgx8asjMLCvdvS11AF3WwkFgZpaV95wEQ4Z33T5A5gx8asjMLCv1k+DMu+HpW4FIL2vxy83tz/1H8m+V5w38gTIzs0ppng13X9h1+5Bhmc0bdPeBMp8aMjOrlDUrSS5P0YWN6+CRbyefeK4gB4GZWaV0XBL/nc8clAiFFx6CG6dWNAw8R2BmVimlLom/bP6W8wYAG9bCvZck1yyqwLyBg8DMrJKKP3PQ+gS0PJS8+L9zSexNm69ZVIHPG/jUkJlZNXUcJYyfXLp94/rMP2/gIDAzq7b6STD50i6uWRSZf97AQWBmNhB0HBkc93XY/6+3bFv4b5lOHjsIzMwGivpJcMzFsO8Ht1z/4qNww8lw90WZBIKDwMxsoFmzkk4vz5vWQ/MNmby11EFgZjbQdNxPudTnDDK4WJ2DwMxsoOmYL2g8C7YZyuZA2Ca5DEXDMf26O3+OwMxsIOr4vMEhp235AbSGY/r9MwUOAjOzgayrm970I58aMjPLOQeBmVnOOQjMzHLOQWBmlnMOAjOznHMQmJnlnIPAzCznHARmZjnnIDAzy7lMg0DSFEmLJbVIuqRE+zhJD0paIOkRSWOyrMfMzDrLLAgkDQGuAU4CJgKnSZpY1O27wE8j4mBgJvDtrOoxM7PSsjwimAS0RMSSiFgHzAGmFfWZCDyUPn+4RLuZmWUsyyAYDbQWLLel6wo9DXw0ff4RYAdJnW7OKWmGpGZJze3t7ZkUa2aWV9WeLP4ScKykJ4FjgWXAxuJOETErIhojonHUqFGVrtHMbFDL8jLUy4D6guUx6bp3RMRy0iMCSdsDH4uI1zOsyczMimR5RDAPmCBpb0nDgOlAU2EHSXWSOmq4FLg+w3rMzKyEzIIgIjYA5wH3Ac8Bt0fEQkkzJU1Nu00GFkv6I7A78K2s6jEzs9IUEdWuoVcaGxujubm52mWYmdUUSfMjorFUW7Uni83MrMocBGZmOecgMDPLOQeBmVnOOQjMzHLOQWBmlnMOAjOznHMQmJnlnIPAzCznHARmZjnnIDAzyzkHgZlZzjkIzMxyzkFgZpZzDgIzs5xzEJiZ5ZyDwMws5xwEZmY55yAwM8s5B4GZWc45CMzMcs5BYGaWcw4CM7OccxCYmeWcg8DMLOccBGZmOecgMDPLOQeBmVnOOQjMzHLOQWBmlnOZBoGkKZIWS2qRdEmJ9rGSHpb0pKQFkk7Osh4zM+sssyCQNAS4BjgJmAicJmliUbevA7dHxGHAdODarOoxM7PSsjwimAS0RMSSiFgHzAGmFfUJYMf0+U7A8gzrMTOzEoaW21HSaGBc4ddExKPdfMlooLVguQ04sqjPN4H7JZ0PvAs4oYt9zwBmAIwdO7bcks3MrAxlBYGkK4BTgUXAxnR1AN0FQTlOA2ZHxJWSjgZuknRQRGwq7BQRs4BZAI2NjdHHfZqZWYFyjwj+BnhPRKztxbaXAfUFy2PSdYXOBqYARMRjkkYAdcCKXuzHzMz6oNw5giXAtr3c9jxggqS9JQ0jmQxuKurzMnA8gKQDgBFAey/3Y2ZmfVDuEcFq4ClJDwLvHBVExAVdfUFEbJB0HnAfMAS4PiIWSpoJNEdEE3Ax8CNJXyQ51XRmRPjUj5lZBZUbBE10/mu+RxFxD3BP0bpvFDxfBLyvt9s1M7P+U1YQRMSN6emd/dJViyNifXZlmZlZpZT7rqHJwI3AUkBAvaTP9PD2UTMzqwHlnhq6EvhgRCwGkLQfcCtwRFaFmZlZZZT7rqFtO0IAICL+SO/fRWRmZgNQuUcEzZJ+DNycLp8ONGdTkpmZVVK5QXAOcC7Q8XbRufgCcWZmg0K57xpaC3wvfZiZ2SDSbRBIuj0iTpH0DMkHvrYQEQdnVpmZmVVET0cEF6b/fijrQszMrDq6fddQRLySPn0VaI2Il4DhwCH43gFmZoNCuW8ffRQYkd6T4H7gDGB2VkWZmVnllBsEiojVwEeBayPiE8CB2ZVlZmaVUnYQpDeOOR34ZbpuSDYlmZlZJZUbBBcBlwI/Ty8lvQ/wcGZVmZlZxZT7OYLfAL8pWF7C5g+XmZlZDevpcwRXRcRFku6i9OcIpmZWmZmZVURPRwQ3pf9+N+tCzMysOroNgoiYnz5tBtZExCYASUNIPk9gZmY1rtzJ4geB7QqWRwIP9H85ZmZWaeUGwYiIeLNjIX2+XTf9zcysRpQbBG9JOrxjQdIRwJpsSjIzs0oq934EFwF3SFpOcs/iPYBTsyrKzMwqp9zPEcyTtD/wnnTV4ohYn11ZZmZWKWWdGpK0HfAV4MKIeBZokORLU5uZDQLlzhHcAKwDjk6XlwGXZ1KRmZlVVLlBMD4i/glYD5BeiVSZVWVmZhVTbhCskzSS9DITksYDazOryszMKqbcdw1dBtwL1Ev6GfA+4MysijIzs8rpMQgkbQPsQnJTmqNITgldGBGvZlybmZlVQI9BEBGbJH05Im5n801pzMxskCh3juABSV+SVC9p145HppWZmVlFlDtHcCrJRPHfFa3fp7svkjQF+D7JbS1/HBHfKWr/F+AD6eJ2wG4RsXOZNZmZWT8oNwgmkoTA+0kCYS5wXXdfkF6q+hrgRKANmCepKSIWdfSJiC8W9D8fOKxX1ZuZWZ+Ve2roRuAA4GrgByTBcGMPXzMJaImIJRGxDpgDTOum/2nArWXWY2Zm/aTcI4KDImJiwfLDkhZ12TsxGmgtWG4DjizVUdI4YG/goS7aZwAzAMaOHVtmyWZmVo5yjwh+L+mojgVJR5Lctay/TAfujIiNpRojYlZENEZE46hRo/pxt2ZmVu4RwRHAf0p6OV0eCyyW9AwQEXFwia9ZBtQXLI9J15UyHTi3zFrMzKwflRsEU7Zi2/OACZL2JgmA6cAnizull7feBXhsK/ZhZmZ9VO79CF7q7YYjYoOk84D7SN4+en1ELJQ0E2iOiKa063RgTkREb/dhZmZ9V+4RwVaJiHuAe4rWfaNo+ZtZ1mBmZt0rd7LYzMwGKQeBmVnOOQjMzHLOQWBmlnMOAjOznHMQmJnlnIPAzCznHARmZjnnIDAzyzkHgZlZzjkIzMxyzkFgZpZzDgIzs5xzEJiZ5ZyDwMws5xwEZmY55yAwM8s5B4GZWc45CMzMcs5BYGaWcw4CM7OccxCYmeWcg8DMLOccBGZmOecgMDPLOQeBmVnOOQjMzHLOQWBmlnMOAjOznHMQmJnlXKZBIGmKpMWSWiRd0kWfUyQtkrRQ0i1Z1mNmZp0NzWrDkoYA1wAnAm3APElNEbGooM8E4FLgfRGxStJuWdVjZmalZXlEMAloiYglEbEOmANMK+rzeeCaiFgFEBErMqzHzMxKyDIIRgOtBctt6bpC+wH7SfqdpMclTSm1IUkzJDVLam5vb8+oXDOzfKr2ZPFQYAIwGTgN+JGknYs7RcSsiGiMiMZRo0ZVtkIzs0EuyyBYBtQXLI9J1xVqA5oiYn1EvAj8kSQYzMysQrIMgnnABEl7SxoGTAeaivr8guRoAEl1JKeKlmRYk5mZFcksCCJiA3AecB/wHHB7RCyUNFPS1LTbfcBKSYuAh4F/iIiVWdVkZmadKSKqXUOvNDY2RnNzc7XLMDOrKZLmR0RjqbZqTxabmVmVOQjMzHLOQWBmlnMOAjOznHMQmJnlnIPAzCznHARmZjnnIDAzyzkHgZlZzjkIzMxyzkFgZpZzDgIzs5xzEJiZ5ZyDwMws5xwEZmY55yAwM8s5B4GZWc45CMzMcs5BYGaWcw4CM7OccxCYmeWcg8DMLOccBGZmOecgMDPLOQeBmVnOOQjMzHLOQWBmlnMOAjOznHMQmJnlnIPAzCznHARmZjmXaRBImiJpsaQWSZeUaD9TUrukp9LH57Ksx8zMOhua1YYlDQGuAU4E2oB5kpoiYlFR19si4rys6jAzs+5lFgTAJKAlIpYASJoDTAOKg6BiTv3hY53WfejgPTnj6AbWrNvImTc80an940eM4RON9bz21jrOuXl+p/ZPHTWODx+yF8tfX8MXb3uqU/vnj9mHEybuzgvtb/LVf3+mU/v5x03g/RPqWLj8DWbe1flb8+Up7+GIcbsy/6XX+Kd7F3dq/8aHJ3LgXjvx2+df5QcPPd+p/R8/+heMH7U9Dyz6b340d0mn9n859VD22nkkdz29nJsff6lT+79+6gh2fdcw7mhu5c75bZ3aZ581iZHDhnDTY0u5e8Erndpv+9ujAZj16As8+NyKLdpGbDuEGz87CYCrH3ye37W8ukX7LtsN47ozjgDginv/wO9fWrVF+547jeCq6YcB8H/uWsii5f+zRfs+o97Ftz96MACX/vsClrS/tUX7xL125LIPHwjARXOe5JU33t6i/fBxu/CVKfsD8IWb5rNq9bot2t+3bx0XHD8BgM9c/wRvr9+4RfvxB+zGjL8cD/h3z797/fO71zGm/pblqaHRQGvBclu6rtjHJC2QdKek+lIbkjRDUrOk5vb29ixqNTPLLUVENhuWPg5MiYjPpctnAEcWngaS9G7gzYhYK+lvgVMj4rjuttvY2BjNzc2Z1GxmNlhJmh8RjaXasjwiWAYU/oU/Jl33johYGRFr08UfA0dkWI+ZmZWQZRDMAyZI2lvSMGA60FTYQdKeBYtTgecyrMfMzErIbLI4IjZIOg+4DxgCXB8RCyXNBJojogm4QNJUYAPwGnBmVvWYmVlpmc0RZMVzBGZmvVetOQIzM6sBDgIzs5xzEJiZ5ZyDwMws52puslhSO9D58+jlqQNe7bHX4OIx54PHnA99GfO4iBhVqqHmgqAvJDV3NWs+WHnM+eAx50NWY/apITOznHMQmJnlXN6CYFa1C6gCjzkfPOZ8yGTMuZojMDOzzvJ2RGBmZkUcBGZmOTcog0DSFEmLJbVIuqRE+3BJt6Xt/yWpoQpl9qsyxvz3khald4N7UNK4atTZn3oac0G/j0kKSTX/VsNyxizplPRnvVDSLZWusb+V8bs9VtLDkp5Mf79Prkad/UXS9ZJWSHq2i3ZJujr9fiyQdHifdxoRg+pBcsnrF4B9gGHA08DEoj5/B1yXPp8O3Fbtuisw5g8A26XPz8nDmNN+OwCPAo8DjdWuuwI/5wnAk8Au6fJu1a67AmOeBZyTPp8ILK123X0c818ChwPPdtF+MvArQMBRwH/1dZ+D8YhgEtASEUsiYh0wB5hW1GcacGP6/E7geEmqYI39rccxR8TDEbE6XXyc5I5xtaycnzPA/wWuAN4u0VZryhnz54FrImIVQESsoLaVM+YAdkyf7wQsr2B9/S4iHiW5P0tXpgE/jcTjwM5FN/nqtcEYBKOB1oLltnRdyT4RsQF4A3h3RarLRjljLnQ2yV8UtazHMaeHzPUR8ctKFpahcn7O+wH7SfqdpMclTalYddkoZ8zfBD4lqQ24Bzi/MqVVTW//v/coszuU2cAk6VNAI3BstWvJkqRtgO+Rv7veDSU5PTSZ5KjvUUl/ERGvV7OojJ0GzI6IKyUdDdwk6aCI2FTtwmrFYDwiWAbUFyyPSdeV7CNpKMnh5MqKVJeNcsaMpBOArwFTI2JthWrLSk9j3gE4CHhE0lKSc6lNNT5hXM7PuQ1oioj1EfEi8EeSYKhV5Yz5bOB2gIh4DBhBcnG2waqs/++9MRiDYB4wQdLekoaRTAY3FfVpAj6TPv848FCkszA1qscxSzoM+CFJCNT6eWPoYcwR8UZE1EVEQ0Q0kMyLTI2IWr7PaTm/278gORpAUh3JqaIlFayxv5Uz5peB4wEkHUASBO0VrbKymoBPp+8eOgp4IyJe6csGB92poYjYIOk84D6SdxxcHxELJc0EmiOiCfgJyeFjC8mkzPTqVdx3ZY75n4HtgTvSefGXI2Jq1YruozLHPKiUOeb7gA9KWgRsBP4hImr2aLfMMV8M/EjSF0kmjs+s5T/sJN1KEuZ16bzHZcC2ABFxHck8yMlAC7AaOKvP+6zh75eZmfWDwXhqyMzMesFBYGaWcw4CM7OccxCYmeWcg8DMLOccBGYlSNoo6SlJz0q6S9LO/bz9pen7/JH0Zn9u26y3HARmpa2JiEMj4iCSz5qcW+2CzLLiIDDr2WOkF/WSNF7SvZLmS5oraf90/e6Sfi7p6fTx3nT9L9K+CyXNqOIYzLo06D5ZbNafJA0huXzBT9JVs4AvRMTzko4ErgWOA64GfhMRH0m/Zvu0/2cj4jVJI4F5kv6tlj/pa4OTg8CstJGSniI5EngO+LWk7YH3svkyHQDD03+PAz4NEBEbSS5tDnCBpI+kz+tJLgDnILABxUFgVtqaiDhU0nYk17k5F5gNvB4Rh5azAUmTgROAoyNitaRHSC6IZjageI7ArBvpXd0uILmw2WrgRUmfgHfuHXtI2vVBkluAImmIpJ1ILm++Kg2B/UkuhW024DgIzHoQEU8CC0hugHI6cLakp4GFbL5t4oXAByQ9A8wnuXfuvcBQSc8B3yG5FLbZgOOrj5qZ5ZyPCMzMcs5BYGaWcw4CM7OccxCYmeWcg8DMLOccBGZmOecgMDPLuf8PWSoYobi2uusAAAAASUVORK5CYII=\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":"plot_roc(y_test,probs)","metadata":{"execution":{"iopub.status.busy":"2021-06-25T14:25:46.294958Z","iopub.execute_input":"2021-06-25T14:25:46.295296Z","iopub.status.idle":"2021-06-25T14:25:46.422804Z","shell.execute_reply.started":"2021-06-25T14:25:46.295264Z","shell.execute_reply":"2021-06-25T14:25:46.421722Z"},"trusted":true},"execution_count":52,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"##### PR plot\nPrecision Recall Plot (이하 PR 그래프)의 경우도 ROC 와 유사한데, 주로 데이타 라벨의 분포가 심하게 불균등 할때 사용한데, 예를 들어 이상 거래 검출 시나리오의 경우 정상 거래의 비율이 비정상 거래에 비해서 압도적으로 많기 때문에 (98%, 2%) 이런 경우에는 ROC 그래프보다 PR 그래프가 분석에 더 유리하다. 그래프가 위쪽으로 갈수록 정확도가 높은 모델이고, ROC와 마찬가지로 PR 그래프의 AUC (면적)값을 이용하여 모델의 정확도를 평가할 수 있다. 그러면 모델이 쓸만한 모델인지 아닌지는 어떤 기준을 사용할까? ROC 그래프의 경우에는 Y=X 그래프를 기준으로 그래프 윗쪽에 있는 경우 쓸만한 모델로 판단을 했는데, PR 그래프의 경우 Base line이라는 것을 사용한다.\n\n\nhttps://bcho.tistory.com/1206 ","metadata":{}},{"cell_type":"markdown","source":"#### 12. ensemble algorithm techniques\nThe above section, deals with handling imbalanced data by resampling original data to provide balanced classes. In this section, we are going to look at an alternate approach i.e. Modifying existing classification algorithms to make them appropriate for imbalanced data sets. 즉 샘플링을 다시하는게 아니라, 분류 알고리즘 자체를 불균형 데이터셋에 맞게 변형해 본다는 것!\n\nThe main objective of ensemble methodology is to improve the performance of single classifiers. The approach involves constructing several two stage classifiers from the original data and then aggregate their prediction. 앙상블 방법론의 주요 목표는 단일 분류기의 성능을 개선하는 것이다. 여러 단일 분류기의 결과를 합쳐서 강한 분류기를 만든다. \n\n* XGBoost (Extreme Gradient Boosting) \n: 일반 Gradient boosting보다 10배 빠른 알고리즘이다. ","metadata":{}}]} \ No newline at end of file