{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "48d37888",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "# 앙상블 기법 — Python 실습\n",
    "> 가이드라인 docx와 **같은 데이터·시드·코드**로 본문 수치와 그림을 재현하고, 마지막 셀에서 docx 수치와 자동 대조합니다.\n",
    "> Breast Cancer (**악성=1**), stratify 분할(test_size=0.2, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "eacd7949",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:56.348946Z",
     "iopub.status.busy": "2026-09-29T10:21:56.348689Z",
     "iopub.status.idle": "2026-09-29T10:21:56.890461Z",
     "shell.execute_reply": "2026-09-29T10:21:56.889303Z"
    },
    "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": "code",
   "execution_count": 2,
   "id": "7d957082",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:56.892980Z",
     "iopub.status.busy": "2026-09-29T10:21:56.892109Z",
     "iopub.status.idle": "2026-09-29T10:21:57.652756Z",
     "shell.execute_reply": "2026-09-29T10:21:57.651792Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train (455, 30), Test (114, 30)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import load_breast_cancer\n",
    "from sklearn.model_selection import train_test_split, StratifiedKFold, cross_validate, GridSearchCV\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.pipeline import make_pipeline\n",
    "from sklearn.tree import DecisionTreeClassifier, DecisionTreeRegressor\n",
    "from sklearn.ensemble import RandomForestClassifier, GradientBoostingClassifier, BaggingClassifier\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.metrics import accuracy_score, roc_auc_score\n",
    "bc = load_breast_cancer(); X, y = bc.data, 1 - bc.target; feature_names = bc.feature_names\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42, stratify=y)\n",
    "sc = StandardScaler().fit(X_train); a, b = sc.transform(X_train), sc.transform(X_test)\n",
    "print(f'Train {X_train.shape}, Test {X_test.shape}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aec23260",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 1. 단일 모델 vs 앙상블 vs 베이스라인 (그림 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2969ceb4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:57.654498Z",
     "iopub.status.busy": "2026-09-29T10:21:57.654157Z",
     "iopub.status.idle": "2026-09-29T10:21:58.500349Z",
     "shell.execute_reply": "2026-09-29T10:21:58.499119Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "단일 트리 (과적합)        훈련 1.000  테스트 0.930\n",
      "단일 트리 (깊이=3)       훈련 0.967  테스트 0.904\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "배깅 (100개)          훈련 1.000  테스트 0.974\n",
      "Random Forest      훈련 1.000  테스트 0.974\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gradient Boosting  훈련 1.000  테스트 0.965\n",
      "로지스틱 회귀            훈련 0.987  테스트 0.965\n"
     ]
    }
   ],
   "source": [
    "M = {'단일 트리\\n(과적합)': DecisionTreeClassifier(random_state=42), '단일 트리\\n(깊이=3)': DecisionTreeClassifier(max_depth=3, random_state=42),\n",
    "     '배깅\\n(100개)': BaggingClassifier(DecisionTreeClassifier(), n_estimators=100, random_state=42), 'Random\\nForest': RandomForestClassifier(n_estimators=100, random_state=42),\n",
    "     'Gradient\\nBoosting': GradientBoostingClassifier(n_estimators=100, learning_rate=0.1, max_depth=3, random_state=42), '로지스틱\\n회귀': LogisticRegression(max_iter=1000, random_state=42)}\n",
    "tr, te = [], []\n",
    "for n, m in M.items():\n",
    "    m.fit(a, y_train); tr.append(accuracy_score(y_train, m.predict(a))); te.append(accuracy_score(y_test, m.predict(b)))\n",
    "    print(f\"{n.replace(chr(10),' '):<18} 훈련 {tr[-1]:.3f}  테스트 {te[-1]:.3f}\")\n",
    "for (n, d), v in zip([('단일 트리 테스트', .930), ('배깅 테스트', .974), ('RF 테스트', .974), ('GBM 테스트', .965), ('LR 테스트', .965)], [te[0], te[2], te[3], te[4], te[5]]): check('그림1 ' + n, d, v)\n",
    "check('그림1 단일 트리 훈련', 1.000, tr[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0098457f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:58.502091Z",
     "iopub.status.busy": "2026-09-29T10:21:58.501921Z",
     "iopub.status.idle": "2026-09-29T10:21:58.786042Z",
     "shell.execute_reply": "2026-09-29T10:21:58.784961Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x450 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rs = np.random.RandomState(42); xs = np.sort(rs.uniform(0, 10, 80)); f = lambda t: 1.5*np.sin(t*0.9)+0.25*t; ys = f(xs)+rs.normal(0, .45, 80); g = np.linspace(0, 10, 400)\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4.5)); preds = []\n",
    "for i in range(20):\n",
    "    idx = rs.randint(0, 80, 80); p = DecisionTreeRegressor(min_samples_leaf=3, random_state=i).fit(xs[idx, None], ys[idx]).predict(g[:, None]); preds.append(p); ax1.plot(g, p, color=ORANGE, alpha=.18, lw=1)\n",
    "ax1.scatter(xs, ys, s=12, color=GRAY, alpha=.6, label='훈련 데이터'); ax1.plot(g, np.mean(preds, 0), color=BLUE, lw=2.4, label='배깅 평균(분산 감소)'); ax1.plot(g, f(g), '--', color=GREEN, lw=2, label='실제 패턴')\n",
    "ax1.set_title('배깅: 개별 트리의 분산을 평균으로 상쇄'); ax1.legend(frameon=False, fontsize=8.5, loc='upper left')\n",
    "xx = np.arange(len(M)); w = .36; ax2.bar(xx-w/2, tr, w, color=BLUE, label='훈련 Accuracy'); ax2.bar(xx+w/2, te, w, color=ORANGE, label='테스트 Accuracy')\n",
    "for i, (p, q) in enumerate(zip(tr, te)): ax2.text(i-w/2, p+.002, f'{p:.3f}', ha='center', fontsize=7); ax2.text(i+w/2, q+.002, f'{q:.3f}', ha='center', fontsize=7)\n",
    "ax2.set_xticks(xx, list(M), fontsize=8); ax2.set_ylim(.85, 1.03); ax2.set_title('단일 모델 vs 앙상블 vs 베이스라인 (테스트 114개)'); ax2.legend(frameon=False, fontsize=8.5)\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d123d63",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 2. 단일 분할이 아닌 교차검증으로 비교 (docx \"앙상블이 항상 최선은 아닙니다\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "534350c4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:58.788112Z",
     "iopub.status.busy": "2026-09-29T10:21:58.787566Z",
     "iopub.status.idle": "2026-09-29T10:22:00.712532Z",
     "shell.execute_reply": "2026-09-29T10:22:00.711400Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LR   CV Accuracy 0.974±0.015   CV AUC 0.9958±0.0047\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RF   CV Accuracy 0.965±0.015   CV AUC 0.9889±0.0067\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "GBM  CV Accuracy 0.967±0.014   CV AUC 0.9908±0.0055\n"
     ]
    }
   ],
   "source": [
    "skf = StratifiedKFold(5, shuffle=True, random_state=42); cvres = {}\n",
    "for n, m in [('LR', LogisticRegression(max_iter=1000, random_state=42)), ('RF', RandomForestClassifier(n_estimators=100, random_state=42)), ('GBM', GradientBoostingClassifier(random_state=42))]:\n",
    "    r = cross_validate(make_pipeline(StandardScaler(), m), X_train, y_train, cv=skf, scoring=['accuracy', 'roc_auc']); cvres[n] = r\n",
    "    print(f\"{n:<4} CV Accuracy {r['test_accuracy'].mean():.3f}±{r['test_accuracy'].std():.3f}   CV AUC {r['test_roc_auc'].mean():.4f}±{r['test_roc_auc'].std():.4f}\")\n",
    "for n, mu, sd in [('LR', .9958, .0047), ('RF', .9889, .0067), ('GBM', .9908, .0055)]:\n",
    "    check(f'본문 CV AUC 평균 {n}', mu, cvres[n]['test_roc_auc'].mean(), .00005); check(f'본문 CV AUC 표준편차 {n}', sd, cvres[n]['test_roc_auc'].std(), .00005)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01e75e60",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 3. Random Forest 코드와 트리 수 (docx 2-4, 그림 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ee7f791a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:00.714282Z",
     "iopub.status.busy": "2026-09-29T10:22:00.714124Z",
     "iopub.status.idle": "2026-09-29T10:22:02.134675Z",
     "shell.execute_reply": "2026-09-29T10:22:02.133621Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OOB Score: 0.9604\n",
      "Test AUC: 0.9929\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n=100 이후 테스트 AUC 범위: 0.9929 ~ 0.9942\n"
     ]
    }
   ],
   "source": [
    "rf = RandomForestClassifier(n_estimators=100, max_features='sqrt', oob_score=True, random_state=42).fit(X_train, y_train)\n",
    "print('OOB Score:', round(rf.oob_score_, 4)); print('Test AUC:', round(roc_auc_score(y_test, rf.predict_proba(X_test)[:, 1]), 4))\n",
    "ns = [1, 3, 5, 10, 20, 30, 50, 75, 100, 150, 200]; ta, oa = [], []\n",
    "for n in ns:\n",
    "    m = RandomForestClassifier(n_estimators=n, random_state=42, oob_score=(n >= 10)).fit(a, y_train); ta.append(roc_auc_score(y_test, m.predict_proba(b)[:, 1]))\n",
    "    oa.append(roc_auc_score(y_train, m.oob_decision_function_[:, 1]) if n >= 10 else np.nan)\n",
    "fig, ax = plt.subplots(figsize=(8, 4.4)); ax.plot(ns, ta, 'o-', color=BLUE, lw=2.2, label='테스트 AUC'); ax.plot(ns, oa, 's--', color=ORANGE, lw=2, label='OOB AUC')\n",
    "ax.axvline(100, color=GRAY, ls=':'); ax.set_ylim(.92, 1.0); ax.set_xlabel('트리 수'); ax.set_ylabel('AUC'); ax.set_title('트리 수에 따른 Random Forest 성능 수렴'); ax.legend(frameon=False, loc='lower right')\n",
    "plt.tight_layout(); plt.show(); print('n=100 이후 테스트 AUC 범위:', np.round(min(ta[8:]), 4), '~', np.round(max(ta[8:]), 4))\n",
    "check('그림2 테스트 AUC가 0.99 부근에서 안정(n≥20 최소)', 0.99, min(ta[4:]), 0.005)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "570c1e2b",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 4. Gradient Boosting 코드와 학습률 (docx 3-3, 그림 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "229e1e30",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:02.137165Z",
     "iopub.status.busy": "2026-09-29T10:22:02.136427Z",
     "iopub.status.idle": "2026-09-29T10:22:09.046775Z",
     "shell.execute_reply": "2026-09-29T10:22:09.045790Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test AUC: 0.9947\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "학습률별 AUC: {0.001: np.float64(0.9249), 0.005: np.float64(0.9684), 0.01: np.float64(0.9812), 0.05: np.float64(0.995), 0.1: np.float64(0.9947), 0.3: np.float64(0.9967), 0.5: np.float64(0.994), 1.0: np.float64(0.997)}\n",
      "lr=0.01 트리 수별: {10: np.float64(0.9269), 30: np.float64(0.9577), 50: np.float64(0.9674), 100: np.float64(0.9812), 200: np.float64(0.9931), 300: np.float64(0.9944), 500: np.float64(0.995)}\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1100x440 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gbm = GradientBoostingClassifier(n_estimators=100, learning_rate=0.1, max_depth=3, random_state=42).fit(X_train, y_train)\n",
    "print('Test AUC:', round(roc_auc_score(y_test, gbm.predict_proba(X_test)[:, 1]), 4))\n",
    "lrs = [0.001, 0.005, 0.01, 0.05, 0.1, 0.3, 0.5, 1.0]\n",
    "la = [roc_auc_score(y_test, GradientBoostingClassifier(n_estimators=100, learning_rate=l, random_state=42).fit(a, y_train).predict_proba(b)[:, 1]) for l in lrs]\n",
    "ns2 = [10, 30, 50, 100, 200, 300, 500]; cur = {}\n",
    "for l in [0.3, 0.1, 0.01]:\n",
    "    st = list(GradientBoostingClassifier(n_estimators=500, learning_rate=l, random_state=42).fit(a, y_train).staged_predict_proba(b)); cur[l] = [roc_auc_score(y_test, st[n-1][:, 1]) for n in ns2]\n",
    "print('학습률별 AUC:', dict(zip(lrs, np.round(la, 4)))); print('lr=0.01 트리 수별:', dict(zip(ns2, np.round(cur[0.01], 4))))\n",
    "check('그림4 lr=0.001 AUC', 0.925, la[0], 0.0005)\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4.4)); ax1.semilogx(lrs, la, 'o-', color=GREEN, lw=2.2); ax1.axvline(.1, color=GRAY, ls=':'); ax1.set_title('학습률에 따른 성능 (트리 100개)'); ax1.set_ylabel('테스트 AUC')\n",
    "for l, s_, c in [(0.3, '-', BLUE), (0.1, '--', ORANGE), (0.01, ':', GREEN)]: ax2.plot(ns2, cur[l], marker='o', ls=s_, color=c, label=f'lr={l}')\n",
    "ax2.set_title('학습률이 낮을수록 트리 더 필요'); ax2.legend(frameon=False, loc='lower right'); plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15a8ee49",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 5. 하이퍼파라미터 탐색 (docx 5-3 코드)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9dee6a60",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:09.049082Z",
     "iopub.status.busy": "2026-09-29T10:22:09.048391Z",
     "iopub.status.idle": "2026-09-29T10:22:30.207641Z",
     "shell.execute_reply": "2026-09-29T10:22:30.206564Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best params: {'max_depth': 5, 'max_features': 'sqrt', 'n_estimators': 100}\n",
      "Best AUC: 0.9904\n"
     ]
    }
   ],
   "source": [
    "param_grid = {'n_estimators': [100, 200], 'max_features': ['sqrt', 0.3, 0.5], 'max_depth': [None, 5, 10]}\n",
    "rf_cv = GridSearchCV(RandomForestClassifier(random_state=42), param_grid, cv=5, scoring='roc_auc', n_jobs=-1).fit(X_train, y_train)\n",
    "print('Best params:', rf_cv.best_params_); print('Best AUC:', round(rf_cv.best_score_, 4))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d3f2967",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 6. 변수 중요도 (docx 6장, 그림 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "4e692081",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:30.210116Z",
     "iopub.status.busy": "2026-09-29T10:22:30.209374Z",
     "iopub.status.idle": "2026-09-29T10:22:30.334769Z",
     "shell.execute_reply": "2026-09-29T10:22:30.333609Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "worst area              0.1514\n",
      "worst concave points    0.1265\n",
      "worst radius            0.0935\n",
      "worst perimeter         0.0836\n",
      "mean concave points     0.0811\n",
      "mean perimeter          0.0771\n",
      "mean radius             0.0620\n",
      "mean concavity          0.0508\n",
      "mean area               0.0459\n",
      "worst concavity         0.0300\n",
      "dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x540 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fi = pd.Series(M['Random\\nForest'].feature_importances_, index=feature_names).sort_values(ascending=False); print(fi.head(10).round(4))\n",
    "check('그림5 1위 변수', 'worst area', fi.index[0]); check('그림5 1위 중요도', 0.151, fi.iloc[0]); check('그림5 2위 변수', 'worst concave points', fi.index[1]); check('그림5 2위 중요도', 0.126, fi.iloc[1])\n",
    "check('그림5 상위 5개 합(약 54%)', 0.54, fi.head(5).sum(), 0.005)\n",
    "fig, ax = plt.subplots(figsize=(8, 5.4)); top = fi.head(12)[::-1]; ax.barh(range(12), top.values, color=['#BBBBBB']*7+[BLUE]*5)\n",
    "ax.set_yticks(range(12), top.index, fontsize=9); ax.set_title('Random Forest 변수 중요도 (상위 12개)'); plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1d99beaa",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 7. docx 수치 자동 대조"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "3670eecf",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:30.336577Z",
     "iopub.status.busy": "2026-09-29T10:22:30.336408Z",
     "iopub.status.idle": "2026-09-29T10:22:30.343853Z",
     "shell.execute_reply": "2026-09-29T10:22:30.343000Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                항목                 docx                  노트북 일치\n",
      "                     그림1 단일 트리 테스트                 0.93               0.9298  ✅\n",
      "                        그림1 배깅 테스트                0.974               0.9737  ✅\n",
      "                        그림1 RF 테스트                0.974               0.9737  ✅\n",
      "                       그림1 GBM 테스트                0.965               0.9649  ✅\n",
      "                        그림1 LR 테스트                0.965               0.9649  ✅\n",
      "                      그림1 단일 트리 훈련                  1.0                  1.0  ✅\n",
      "                   본문 CV AUC 평균 LR               0.9958               0.9958  ✅\n",
      "                 본문 CV AUC 표준편차 LR               0.0047               0.0047  ✅\n",
      "                   본문 CV AUC 평균 RF               0.9889               0.9889  ✅\n",
      "                 본문 CV AUC 표준편차 RF               0.0067               0.0067  ✅\n",
      "                  본문 CV AUC 평균 GBM               0.9908               0.9908  ✅\n",
      "                본문 CV AUC 표준편차 GBM               0.0055               0.0055  ✅\n",
      "그림2 테스트 AUC가 0.99 부근에서 안정(n≥20 최소)                 0.99               0.9924  ✅\n",
      "                  그림4 lr=0.001 AUC                0.925               0.9249  ✅\n",
      "                         그림5 1위 변수           worst area           worst area  ✅\n",
      "                        그림5 1위 중요도                0.151               0.1514  ✅\n",
      "                         그림5 2위 변수 worst concave points worst concave points  ✅\n",
      "                        그림5 2위 중요도                0.126               0.1265  ✅\n",
      "                그림5 상위 5개 합(약 54%)                 0.54               0.5361  ✅\n",
      "\n",
      "일치 19 / 19\n"
     ]
    }
   ],
   "source": [
    "_ = report()"
   ]
  }
 ],
 "metadata": {
  "jupytext": {
   "cell_metadata_filter": "-all",
   "main_language": "python",
   "notebook_metadata_filter": "-all"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
