{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0f381c7e",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "# 차원 축소 — Python 실습\n",
    "> 가이드라인 docx와 **같은 데이터·시드·코드**로 본문 수치와 그림 1~5를 재현하고, 마지막 셀에서 docx 수치와 자동 대조합니다.\n",
    "> Breast Cancer (**악성=1**), stratify 분할(test_size=0.2, random_state=42). UMAP은 `umap-learn` 설치가 필요합니다."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d8615151",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:32.530845Z",
     "iopub.status.busy": "2026-09-29T10:22:32.530512Z",
     "iopub.status.idle": "2026-09-29T10:22:33.032122Z",
     "shell.execute_reply": "2026-09-29T10:22:33.031016Z"
    },
    "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": "01706ffb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:33.034509Z",
     "iopub.status.busy": "2026-09-29T10:22:33.033809Z",
     "iopub.status.idle": "2026-09-29T10:22:33.746628Z",
     "shell.execute_reply": "2026-09-29T10:22:33.745197Z"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_breast_cancer\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.manifold import TSNE\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.metrics import roc_auc_score\n",
    "bc = load_breast_cancer(); X, y = bc.data, 1 - bc.target; fn = np.array(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",
    "scaler = StandardScaler(); X_train_s = scaler.fit_transform(X_train); X_test_s = scaler.transform(X_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4bc27513",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 1. 표준화의 효과 (그림 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f1a5ab53",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:33.749401Z",
     "iopub.status.busy": "2026-09-29T10:22:33.748414Z",
     "iopub.status.idle": "2026-09-29T10:22:33.950468Z",
     "shell.execute_reply": "2026-09-29T10:22:33.949557Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "표준화 없이 PC1: 0.981  /  표준화 후 PC1: 0.446, PC2: 0.185\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1100x420 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pr = PCA().fit(X_train).explained_variance_ratio_; ps = PCA().fit(X_train_s).explained_variance_ratio_\n",
    "print(f'표준화 없이 PC1: {pr[0]:.3f}  /  표준화 후 PC1: {ps[0]:.3f}, PC2: {ps[1]:.3f}')\n",
    "check('그림1 표준화 없이 PC1 비율(98%)', 0.98, pr[0], 0.005)\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4.2)); k = np.arange(1, 16)\n",
    "ax1.bar(k, pr[:15], color=RED); ax1.set_title(f'표준화 없이: PC1 혼자 {pr[0]*100:.0f}%를 설명'); ax2.bar(k, ps[:15], color=BLUE); ax2.set_title('표준화 후: 분산이 여러 PC에 분포')\n",
    "for ax in (ax1, ax2): ax.set_xlabel('주성분(PC) 번호'); ax.set_ylabel('설명된 분산 비율')\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03bf470b",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 2. 주성분 수 선택 (docx 2-5 코드, 그림 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "464295b4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:33.952821Z",
     "iopub.status.busy": "2026-09-29T10:22:33.952138Z",
     "iopub.status.idle": "2026-09-29T10:22:34.127961Z",
     "shell.execute_reply": "2026-09-29T10:22:34.126866Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "90% 기준: 7개, 95% 기준(선택된 PC 수): 10개\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1100x420 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pca_full = PCA().fit(X_train_s); cumvar = np.cumsum(pca_full.explained_variance_ratio_)\n",
    "n90 = np.argmax(cumvar >= 0.90) + 1; n_comp = np.argmax(cumvar >= 0.95) + 1\n",
    "print(f'90% 기준: {n90}개, 95% 기준(선택된 PC 수): {n_comp}개')\n",
    "check('그림2 90% 달성 PC 수', 7, n90, 0); check('그림2 95% 달성 PC 수', 10, n_comp, 0)\n",
    "pca = PCA(n_components=n_comp); X_train_pca = pca.fit_transform(X_train_s); X_test_pca = pca.transform(X_test_s)\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4.2))\n",
    "ax1.bar(k, ps[:15], color=BLUE, alpha=.75); ax1.plot(k, ps[:15], 'o-', color=ORANGE); ax1.set_title('스크리 플롯')\n",
    "ax2.plot(np.arange(1, 31), cumvar, 'o-', color=BLUE, ms=4); ax2.axhline(.9, color=GRAY, ls='--'); ax2.axhline(.95, color=ORANGE, ls='--')\n",
    "ax2.axvline(n90, color=GRAY, ls=':'); ax2.axvline(n_comp, color=ORANGE, ls=':'); ax2.set_title(f'누적 설명 분산: 90% → PC{n90}, 95% → PC{n_comp}')\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c9be456",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 3. PCA 2D 투영과 PC 수에 따른 분류 성능 (그림 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1fc203ae",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:34.130481Z",
     "iopub.status.busy": "2026-09-29T10:22:34.129810Z",
     "iopub.status.idle": "2026-09-29T10:22:34.356617Z",
     "shell.execute_reply": "2026-09-29T10:22:34.355712Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "전체 30개 변수 AUC: 0.9960\n",
      "PC 수별 AUC: {2: np.float64(0.9964), 5: np.float64(0.9964), 10: np.float64(0.997), 15: np.float64(0.997), 20: np.float64(0.9967), 30: np.float64(0.996)}\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1100x460 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "full = roc_auc_score(y_test, LogisticRegression(max_iter=1000, random_state=42).fit(X_train_s, y_train).predict_proba(X_test_s)[:, 1])\n",
    "ks = [2, 5, 10, 15, 20, 30]; au = []\n",
    "for kx in ks:\n",
    "    p = PCA(n_components=kx).fit(X_train_s)\n",
    "    au.append(roc_auc_score(y_test, LogisticRegression(max_iter=1000, random_state=42).fit(p.transform(X_train_s), y_train).predict_proba(p.transform(X_test_s))[:, 1]))\n",
    "print(f'전체 30개 변수 AUC: {full:.4f}'); print('PC 수별 AUC:', dict(zip(ks, np.round(au, 4))))\n",
    "check('그림3 PC 2개 AUC', 0.9964, au[0], 0.00005); check('그림3 전체 30개 변수 AUC', 0.9960, full, 0.00005); check('본문: PC 수별 AUC 차이 0.001 이내', '예', '예' if max(au)-min(au) <= 0.00105 else '아니오')\n",
    "z = PCA(2).fit(X_train_s).transform(X_train_s)\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4.6))\n",
    "ax1.scatter(z[y_train==0, 0], z[y_train==0, 1], s=14, color=GREEN, alpha=.6, label='양성 종양(0)'); ax1.scatter(z[y_train==1, 0], z[y_train==1, 1], s=14, color=RED, alpha=.6, label='악성(1)')\n",
    "ax1.set_title('PCA 2차원 투영'); ax1.legend(frameon=False)\n",
    "ax2.plot(ks, au, 'o-', color=BLUE, label='PCA 후 로지스틱 회귀'); ax2.axhline(full, color=ORANGE, ls='--', label=f'전체 30개 변수 ({full:.4f})'); ax2.set_ylim(.975, 1.002)\n",
    "ax2.set_xlabel('PCA 주성분 수'); ax2.set_ylabel('테스트 AUC'); ax2.legend(frameon=False, loc='lower right'); plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e8c24f6e",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 4. t-SNE와 UMAP (docx 3-4 코드, 그림 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b4a152e9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:34.358457Z",
     "iopub.status.busy": "2026-09-29T10:22:34.358283Z",
     "iopub.status.idle": "2026-09-29T10:22:39.220039Z",
     "shell.execute_reply": "2026-09-29T10:22:39.219179Z"
    },
    "lines_to_next_cell": 0
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1300x440 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 3, figsize=(13, 4.4))\n",
    "for ax, pp in zip(axs, [5, 30, 100]):\n",
    "    t = TSNE(n_components=2, perplexity=pp, random_state=42, max_iter=1000).fit_transform(X_train_s)\n",
    "    ax.scatter(t[y_train==0, 0], t[y_train==0, 1], s=10, color=GREEN, alpha=.6, label='양성 종양(0)'); ax.scatter(t[y_train==1, 0], t[y_train==1, 1], s=10, color=RED, alpha=.6, label='악성(1)')\n",
    "    ax.set_title(f't-SNE (perplexity={pp})'); ax.set_xticks([]); ax.set_yticks([])\n",
    "axs[0].legend(frameon=False); plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7cfad52f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:39.221911Z",
     "iopub.status.busy": "2026-09-29T10:22:39.221322Z",
     "iopub.status.idle": "2026-09-29T10:22:54.695474Z",
     "shell.execute_reply": "2026-09-29T10:22:54.694588Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 500x440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "try:\n",
    "    import umap\n",
    "    X_umap = umap.UMAP(n_components=2, random_state=42).fit_transform(X_train_s)\n",
    "    plt.figure(figsize=(5, 4.4)); plt.scatter(X_umap[:, 0], X_umap[:, 1], c=y_train, cmap='RdYlGn_r', s=10); plt.title('UMAP 2D 투영'); plt.show()\n",
    "except ImportError:\n",
    "    print('umap-learn이 설치되어 있지 않습니다: pip install umap-learn')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "954ea926",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 5. PCA vs Lasso (그림 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "aa8d008d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:54.697500Z",
     "iopub.status.busy": "2026-09-29T10:22:54.696919Z",
     "iopub.status.idle": "2026-09-29T10:22:54.855149Z",
     "shell.execute_reply": "2026-09-29T10:22:54.854221Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lasso(C=0.3): 0이 아닌 변수 11개, 0인 변수 19개\n",
      "fractal dimension error   -0.22\n",
      "mean texture               0.06\n",
      "worst concavity            0.30\n",
      "worst concave points       0.39\n",
      "worst smoothness           0.41\n",
      "worst symmetry             0.45\n",
      "worst texture              1.11\n",
      "mean concave points        1.18\n",
      "radius error               1.25\n",
      "worst area                 1.32\n",
      "worst radius               1.88\n",
      "dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1100x460 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ld = PCA(1).fit(X_train_s).components_[0]; ld = ld*np.sign(ld.sum())\n",
    "las = LogisticRegression(penalty='l1', solver='liblinear', C=0.3, random_state=42).fit(X_train_s, y_train); cf = pd.Series(las.coef_[0], index=fn)\n",
    "print(f'Lasso(C=0.3): 0이 아닌 변수 {(cf!=0).sum()}개, 0인 변수 {(cf==0).sum()}개'); print(cf[cf != 0].sort_values().round(2))\n",
    "check('그림5 Lasso 0인 변수 수', 19, int((cf==0).sum()), 0); check('그림5 Lasso 남은 변수 수', 11, int((cf!=0).sum()), 0)\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4.6)); o = np.argsort(np.abs(ld))[::-1][:8]\n",
    "ax1.barh(range(8)[::-1], ld[o], color=BLUE); ax1.set_yticks(range(8)[::-1], fn[o], fontsize=8.5); ax1.set_title('PCA: PC1 로딩 (상위 8개)')\n",
    "nz = cf[cf != 0].sort_values(); ax2.barh(range(len(nz)), nz.values, color=[RED if v > 0 else GREEN for v in nz.values]); ax2.set_yticks(range(len(nz)), nz.index, fontsize=8.5); ax2.axvline(0, color=GRAY)\n",
    "ax2.set_title('Lasso(C=0.3): 빨강=악성 쪽, 초록=양성 종양 쪽'); plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e83ad4b7",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 6. docx 수치 자동 대조"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c63b31de",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:22:54.856761Z",
     "iopub.status.busy": "2026-09-29T10:22:54.856573Z",
     "iopub.status.idle": "2026-09-29T10:22:54.863171Z",
     "shell.execute_reply": "2026-09-29T10:22:54.862400Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                       항목    docx     노트북 일치\n",
      "   그림1 표준화 없이 PC1 비율(98%)    0.98  0.9814  ✅\n",
      "          그림2 90% 달성 PC 수       7       7  ✅\n",
      "          그림2 95% 달성 PC 수      10      10  ✅\n",
      "            그림3 PC 2개 AUC  0.9964  0.9964  ✅\n",
      "        그림3 전체 30개 변수 AUC   0.996   0.996  ✅\n",
      "본문: PC 수별 AUC 차이 0.001 이내       예       예  ✅\n",
      "        그림5 Lasso 0인 변수 수      19      19  ✅\n",
      "        그림5 Lasso 남은 변수 수      11      11  ✅\n",
      "\n",
      "일치 8 / 8\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
}
