{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8a72f132",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "# 교차검증과 모델 평가 — Python 실습\n",
    "> 가이드라인 docx와 **같은 데이터·시드·코드**로 본문의 수치와 그림을 재현합니다. 마지막 셀에서 docx 수치와 자동 대조합니다.\n",
    "> - 회귀: Diabetes (Ridge λ=10) / 분류: Breast Cancer (**악성=1**로 뒤집어 사용, 로지스틱 회귀)\n",
    "> - 분할: test_size=0.2, random_state=42 (분류는 stratify=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7fb06eb4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:47.475529Z",
     "iopub.status.busy": "2026-09-29T10:21:47.474555Z",
     "iopub.status.idle": "2026-09-29T10:21:48.037845Z",
     "shell.execute_reply": "2026-09-29T10:21:48.036701Z"
    },
    "lines_to_next_cell": 0
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "환경 설정 완료 (한글 폰트: Noto Sans CJK JP)\n"
     ]
    }
   ],
   "source": [
    "# 환경 설정: 한글 폰트를 코드에서 직접 등록\n",
    "import numpy as np, pandas as pd, matplotlib.pyplot as plt, matplotlib.font_manager as fm, warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "import os\n",
    "# 설치된 한글 폰트를 찾아 코드에서 직접 등록 (로컬: Noto Sans CJK / Colab: 나눔고딕)\n",
    "_FONTS = [('/usr/share/fonts/opentype/noto/NotoSansCJK-Regular.ttc', '/usr/share/fonts/opentype/noto/NotoSansCJK-Bold.ttc'),\n",
    "          ('/usr/share/fonts/truetype/nanum/NanumGothic.ttf', '/usr/share/fonts/truetype/nanum/NanumGothicBold.ttf')]\n",
    "KFONT = None\n",
    "for _reg, _bold in _FONTS:\n",
    "    if os.path.exists(_reg):\n",
    "        for _p in (_reg, _bold):\n",
    "            if os.path.exists(_p): fm.fontManager.addfont(_p)\n",
    "        KFONT = fm.FontProperties(fname=_reg).get_name(); break\n",
    "if KFONT is None: print('⚠️ 한글 폰트를 찾지 못했습니다. Colab이면 맨 위 설치 셀을 먼저 실행하세요.')\n",
    "plt.rcParams.update({'font.family': KFONT or 'DejaVu Sans', 'axes.unicode_minus': False,\n",
    "                     'axes.spines.top': False, 'axes.spines.right': False})\n",
    "BLUE, ORANGE, GREEN, RED, GRAY, NAVY = '#2E5FA3', '#C45911', '#2E9E7A', '#C0392B', '#999999', '#1F3864'\n",
    "CHECKS = []   # (항목, docx 값, 노트북 값, 허용오차)\n",
    "def check(name, docx_val, nb_val, tol=0.0005):\n",
    "    CHECKS.append((name, docx_val, nb_val, tol))\n",
    "def report():\n",
    "    rows = []\n",
    "    for n, d, v, t in CHECKS:\n",
    "        ok = (abs(float(d) - float(v)) <= t) if not isinstance(d, str) else (str(d) == str(v))\n",
    "        rows.append({'항목': n, 'docx': d, '노트북': (round(v, 4) if isinstance(v, float) else v), '일치': '✅' if ok else '❌'})\n",
    "    df = pd.DataFrame(rows); print(df.to_string(index=False))\n",
    "    print(f\"\\n일치 {sum(r['일치']=='✅' for r in rows)} / {len(rows)}\")\n",
    "    return df\n",
    "print(f'환경 설정 완료 (한글 폰트: {KFONT})')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "85849903",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 1. 데이터 준비와 올바른 전처리 순서 (docx 2-2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4fb4f4d7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:48.040057Z",
     "iopub.status.busy": "2026-09-29T10:21:48.039341Z",
     "iopub.status.idle": "2026-09-29T10:21:48.878391Z",
     "shell.execute_reply": "2026-09-29T10:21:48.877100Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "회귀 Train/Test: (353, 10) / (89, 10)\n",
      "분류 Train/Test: (455, 30) / (114, 30), 테스트 악성 42개 / 양성 종양 72개\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import load_diabetes, load_breast_cancer\n",
    "from sklearn.model_selection import train_test_split, KFold, StratifiedKFold, cross_val_score\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.pipeline import make_pipeline\n",
    "from sklearn.linear_model import Ridge, LogisticRegression\n",
    "from sklearn.metrics import (mean_squared_error, mean_absolute_error, r2_score, confusion_matrix,\n",
    "                             accuracy_score, precision_score, recall_score, f1_score, roc_auc_score,\n",
    "                             roc_curve, precision_recall_curve, auc, average_precision_score, classification_report)\n",
    "# 회귀 데이터\n",
    "Xd, yd = load_diabetes(return_X_y=True)\n",
    "Xd_train, Xd_test, yd_train, yd_test = train_test_split(Xd, yd, test_size=0.2, random_state=42)\n",
    "# 분류 데이터: sklearn 원본은 양성 종양(benign)=1 → 악성(malignant)=1로 뒤집음\n",
    "X, y = load_breast_cancer(return_X_y=True)\n",
    "y = 1 - y\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42, stratify=y)\n",
    "scaler = StandardScaler()\n",
    "X_train_s = scaler.fit_transform(X_train)   # 훈련 데이터로만 fit\n",
    "X_test_s = scaler.transform(X_test)         # 테스트는 transform만\n",
    "print(f'회귀 Train/Test: {Xd_train.shape} / {Xd_test.shape}')\n",
    "print(f'분류 Train/Test: {X_train.shape} / {X_test.shape}, 테스트 악성 {y_test.sum()}개 / 양성 종양 {(y_test==0).sum()}개')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21ec1255",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "R 버전(.Rmd)이 같은 데이터·분할을 쓰도록 CSV로 내보냅니다."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f3ffcf0f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:48.881059Z",
     "iopub.status.busy": "2026-09-29T10:21:48.880113Z",
     "iopub.status.idle": "2026-09-29T10:21:48.916441Z",
     "shell.execute_reply": "2026-09-29T10:21:48.915579Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CSV 저장 완료: ['diabetes.csv', 'diabetes_train.csv', 'diabetes_test.csv', 'breast_cancer_malignant1.csv', 'diabetes_extended.csv', 'wine.csv']\n"
     ]
    }
   ],
   "source": [
    "import os; os.makedirs('data', exist_ok=True)\n",
    "bc = load_breast_cancer()\n",
    "df_bc = pd.DataFrame(X, columns=bc.feature_names); df_bc['target'] = y\n",
    "df_bc['split'] = 'train'; df_bc.loc[train_test_split(np.arange(len(y)), test_size=0.2, random_state=42, stratify=y)[1], 'split'] = 'test'\n",
    "df_bc.to_csv('data/breast_cancer_malignant1.csv', index=False)\n",
    "dd = pd.DataFrame(Xd, columns=load_diabetes().feature_names); dd['target'] = yd\n",
    "dd['split'] = 'train'; dd.loc[train_test_split(np.arange(len(yd)), test_size=0.2, random_state=42)[1], 'split'] = 'test'\n",
    "dd.to_csv('data/diabetes.csv', index=False)\n",
    "print('CSV 저장 완료:', os.listdir('data'))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e316fd1f",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 2. 교차검증 (docx 3-4) — 표준화를 Pipeline에 넣어 fold마다 다시 학습 (fold 내 누수 방지)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "666b4c6b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:48.918643Z",
     "iopub.status.busy": "2026-09-29T10:21:48.918025Z",
     "iopub.status.idle": "2026-09-29T10:21:48.967477Z",
     "shell.execute_reply": "2026-09-29T10:21:48.966365Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE: 55.44 ± 2.35  (fold별 [53.5 56.9 52.8 54.7 59.3])\n",
      "AUC: 0.9958 ± 0.0047  (fold별 [0.9948 0.999  1.     0.9871 0.9979])\n"
     ]
    }
   ],
   "source": [
    "kf = KFold(n_splits=5, shuffle=True, random_state=42)\n",
    "rmse_scores = np.sqrt(-cross_val_score(make_pipeline(StandardScaler(), Ridge(alpha=10)), Xd_train, yd_train,\n",
    "                                       cv=kf, scoring='neg_mean_squared_error'))\n",
    "print(f'RMSE: {rmse_scores.mean():.2f} ± {rmse_scores.std():.2f}  (fold별 {np.round(rmse_scores,1)})')\n",
    "skf = StratifiedKFold(n_splits=5, shuffle=True, random_state=42)\n",
    "auc_scores = cross_val_score(make_pipeline(StandardScaler(), LogisticRegression(max_iter=1000)), X_train, y_train,\n",
    "                             cv=skf, scoring='roc_auc')\n",
    "print(f'AUC: {auc_scores.mean():.4f} ± {auc_scores.std():.4f}  (fold별 {np.round(auc_scores,4)})')\n",
    "check('그림2 회귀 fold RMSE 최소', 52.8, rmse_scores.min(), 0.05); check('그림2 회귀 fold RMSE 최대', 59.3, rmse_scores.max(), 0.05)\n",
    "check('그림2 분류 fold AUC 최소', 0.9871, auc_scores.min(), 0.00005); check('그림2 분류 fold AUC 최대', 1.0, auc_scores.max(), 0.00005)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b582c54b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:48.969853Z",
     "iopub.status.busy": "2026-09-29T10:21:48.969127Z",
     "iopub.status.idle": "2026-09-29T10:21:49.247510Z",
     "shell.execute_reply": "2026-09-29T10:21:49.246138Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x430 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4.3)); x = np.arange(1, 6)\n",
    "ax1.bar(x, rmse_scores, color=BLUE, alpha=.85, width=.6); ax1.axhline(rmse_scores.mean(), color=ORANGE, ls='--', lw=2, label=f'평균 RMSE = {rmse_scores.mean():.1f}')\n",
    "ax1.axhspan(rmse_scores.mean()-rmse_scores.std(), rmse_scores.mean()+rmse_scores.std(), color=ORANGE, alpha=.12, label=f'±1 표준편차 ({rmse_scores.std():.1f})')\n",
    "for i, v in zip(x, rmse_scores): ax1.text(i, v+.4, f'{v:.1f}', ha='center', fontsize=9)\n",
    "ax1.set_xticks(x, [f'fold {i}' for i in x]); ax1.set_ylim(45, 70); ax1.set_ylabel('RMSE'); ax1.set_title('5-fold CV: fold별 RMSE (회귀)'); ax1.legend(frameon=False, fontsize=8.5)\n",
    "ax2.bar(x, auc_scores, color=GREEN, alpha=.85, width=.6); ax2.axhline(auc_scores.mean(), color=ORANGE, ls='--', lw=2, label=f'평균 AUC = {auc_scores.mean():.4f}')\n",
    "ax2.axhspan(auc_scores.mean()-auc_scores.std(), auc_scores.mean()+auc_scores.std(), color=ORANGE, alpha=.12, label=f'±1 표준편차 ({auc_scores.std():.4f})')\n",
    "for i, v in zip(x, auc_scores): ax2.text(i, v+.0006, f'{v:.4f}', ha='center', fontsize=8.5)\n",
    "ax2.set_xticks(x, [f'fold {i}' for i in x]); ax2.set_ylim(.97, 1.004); ax2.set_ylabel('AUC-ROC'); ax2.set_title('5-fold Stratified CV: fold별 AUC (분류)')\n",
    "ax2.legend(frameon=True, facecolor='white', edgecolor='none', fontsize=8.5, loc='lower center')\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b1cce50",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 3. 회귀 지표 (docx 4-1 표)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "05f5e0ea",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:49.250504Z",
     "iopub.status.busy": "2026-09-29T10:21:49.249555Z",
     "iopub.status.idle": "2026-09-29T10:21:49.259794Z",
     "shell.execute_reply": "2026-09-29T10:21:49.258777Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE=53.63, MAE=42.86, R²=0.457\n"
     ]
    }
   ],
   "source": [
    "pred = Ridge(alpha=10).fit(StandardScaler().fit(Xd_train).transform(Xd_train), yd_train).predict(StandardScaler().fit(Xd_train).transform(Xd_test))\n",
    "rmse, mae, r2 = mean_squared_error(yd_test, pred)**.5, mean_absolute_error(yd_test, pred), r2_score(yd_test, pred)\n",
    "print(f'RMSE={rmse:.2f}, MAE={mae:.2f}, R²={r2:.3f}')\n",
    "check('표 RMSE', 53.63, rmse, 0.005); check('표 MAE', 42.86, mae, 0.005); check('표 R²', 0.457, r2, 0.0005)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2240e6ca",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 4. 분류 지표 — 혼동행렬 (docx 4-2, 그림 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "39de537c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:49.262181Z",
     "iopub.status.busy": "2026-09-29T10:21:49.261335Z",
     "iopub.status.idle": "2026-09-29T10:21:49.289675Z",
     "shell.execute_reply": "2026-09-29T10:21:49.288273Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "TN=71 FP=1 FN=3 TP=39\n",
      "              precision    recall  f1-score   support\n",
      "\n",
      "    양성 종양(0)     0.9595    0.9861    0.9726        72\n",
      "       악성(1)     0.9750    0.9286    0.9512        42\n",
      "\n",
      "    accuracy                         0.9649       114\n",
      "   macro avg     0.9672    0.9573    0.9619       114\n",
      "weighted avg     0.9652    0.9649    0.9647       114\n",
      "\n"
     ]
    }
   ],
   "source": [
    "lr = LogisticRegression(max_iter=1000).fit(X_train_s, y_train)\n",
    "y_pred = lr.predict(X_test_s); y_prob = lr.predict_proba(X_test_s)[:, 1]\n",
    "tn, fp, fn, tp = confusion_matrix(y_test, y_pred).ravel()\n",
    "acc, pre, rec, f1 = accuracy_score(y_test, y_pred), precision_score(y_test, y_pred), recall_score(y_test, y_pred), f1_score(y_test, y_pred)\n",
    "print(f'TN={tn} FP={fp} FN={fn} TP={tp}'); print(classification_report(y_test, y_pred, target_names=['양성 종양(0)', '악성(1)'], digits=4))\n",
    "for n, d, v in [('그림3 TN', 71, tn), ('그림3 FP', 1, fp), ('그림3 FN', 3, fn), ('그림3 TP', 39, tp)]: check(n, d, v, 0)\n",
    "check('본문 Precision', 0.9750, pre); check('본문 Recall', 0.9286, rec); check('본문 Accuracy', 0.9649, acc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9015ba90",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:49.292260Z",
     "iopub.status.busy": "2026-09-29T10:21:49.291435Z",
     "iopub.status.idle": "2026-09-29T10:21:49.423280Z",
     "shell.execute_reply": "2026-09-29T10:21:49.421915Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1100x430 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4.3), gridspec_kw={'width_ratios': [1, 1.05]})\n",
    "cm = np.array([[tn, fp], [fn, tp]]); ax1.imshow(cm, cmap='Blues'); names = [['TN', 'FP'], ['FN', 'TP']]\n",
    "for i in range(2):\n",
    "    for j in range(2): ax1.text(j, i, f'{names[i][j]}\\n{cm[i, j]}', ha='center', va='center', fontsize=14, weight='bold', color='white' if cm[i, j] > 30 else 'black')\n",
    "ax1.set_xticks([0, 1], ['예측: 양성 종양(0)', '예측: 악성(1)']); ax1.set_yticks([0, 1], ['실제:\\n양성 종양(0)', '실제:\\n악성(1)'])\n",
    "ax1.set_xlabel('예측값'); ax1.set_ylabel('실제값'); ax1.set_title('혼동행렬 (악성 = 1, positive 클래스)')\n",
    "ax2.axis('off'); ax2.text(.5, .95, '주요 지표 계산 방법', ha='center', fontsize=12, weight='bold', color=NAVY)\n",
    "for k, (n, fml, v) in enumerate([('Accuracy', f'(TP+TN) / 전체 = ({tp}+{tn}) / {tn+fp+fn+tp}', acc), ('Precision', f'TP / (TP+FP) = {tp} / ({tp}+{fp})', pre),\n",
    "                                  ('Recall', f'TP / (TP+FN) = {tp} / ({tp}+{fn})', rec), ('F1', '2 × (Prec × Rec) / (Prec + Rec)', f1)]):\n",
    "    yy = .76 - k*.19; ax2.text(.05, yy, n, fontsize=11, weight='bold', color=BLUE); ax2.text(.05, yy-.07, fml, fontsize=8.5, color='#444'); ax2.text(.95, yy-.035, f'{v:.4f}', ha='right', fontsize=11, weight='bold', color=GREEN)\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b55a4f9b",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 5. ROC와 PR 곡선 (docx 4-3, 그림 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "4e47ca7f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:49.425717Z",
     "iopub.status.busy": "2026-09-29T10:21:49.425059Z",
     "iopub.status.idle": "2026-09-29T10:21:49.642422Z",
     "shell.execute_reply": "2026-09-29T10:21:49.641139Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AUC-ROC: 0.9960, PR AUC: 0.9942, Average Precision: 0.9943\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x450 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fpr, tpr, _ = roc_curve(y_test, y_prob); p, r, _ = precision_recall_curve(y_test, y_prob)\n",
    "roc_auc, pr_auc = roc_auc_score(y_test, y_prob), auc(r, p)\n",
    "print(f'AUC-ROC: {roc_auc:.4f}, PR AUC: {pr_auc:.4f}, Average Precision: {average_precision_score(y_test, y_prob):.4f}')\n",
    "check('그림4 ROC AUC', 0.9960, roc_auc, 0.00005); check('그림4 PR AUC', 0.9942, pr_auc, 0.00005); check('그림4 PR 기준선(악성 비율)', 0.37, y_test.mean(), 0.005)\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4.5))\n",
    "ax1.plot(fpr, tpr, color=BLUE, lw=2, label=f'ROC 곡선 (AUC = {roc_auc:.4f})'); ax1.plot([0, 1], [0, 1], '--', color=GRAY, label='무작위 분류기 (AUC = 0.5)')\n",
    "ax1.set_xlabel('False Positive Rate (1 - 특이도)'); ax1.set_ylabel('True Positive Rate (민감도 / Recall)'); ax1.set_title('ROC 곡선'); ax1.legend(frameon=False, loc='lower right')\n",
    "ax2.plot(r, p, color=ORANGE, lw=2, label=f'PR 곡선 (AUC = {pr_auc:.4f})'); ax2.axhline(y_test.mean(), ls='--', color=GRAY, label=f'무작위 분류기 (양성 비율 = {y_test.mean():.2f})')\n",
    "ax2.set_xlabel('Recall'); ax2.set_ylabel('Precision'); ax2.set_ylim(0, 1.03); ax2.set_title('Precision-Recall 곡선'); ax2.legend(frameon=False, loc='lower left')\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a21e6b06",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 6. docx 수치 자동 대조"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2182c4b7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:49.645219Z",
     "iopub.status.busy": "2026-09-29T10:21:49.644196Z",
     "iopub.status.idle": "2026-09-29T10:21:49.654918Z",
     "shell.execute_reply": "2026-09-29T10:21:49.653828Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                 항목    docx     노트북 일치\n",
      "그림2 회귀 fold RMSE 최소 52.8000 52.8410  ✅\n",
      "그림2 회귀 fold RMSE 최대 59.3000 59.2655  ✅\n",
      " 그림2 분류 fold AUC 최소  0.9871  0.9871  ✅\n",
      " 그림2 분류 fold AUC 최대  1.0000  1.0000  ✅\n",
      "             표 RMSE 53.6300 53.6263  ✅\n",
      "              표 MAE 42.8600 42.8568  ✅\n",
      "               표 R²  0.4570  0.4572  ✅\n",
      "             그림3 TN 71.0000 71.0000  ✅\n",
      "             그림3 FP  1.0000  1.0000  ✅\n",
      "             그림3 FN  3.0000  3.0000  ✅\n",
      "             그림3 TP 39.0000 39.0000  ✅\n",
      "       본문 Precision  0.9750  0.9750  ✅\n",
      "          본문 Recall  0.9286  0.9286  ✅\n",
      "        본문 Accuracy  0.9649  0.9649  ✅\n",
      "        그림4 ROC AUC  0.9960  0.9960  ✅\n",
      "         그림4 PR AUC  0.9942  0.9942  ✅\n",
      "  그림4 PR 기준선(악성 비율)  0.3700  0.3684  ✅\n",
      "\n",
      "일치 17 / 17\n"
     ]
    }
   ],
   "source": [
    "_ = report()"
   ]
  }
 ],
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