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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "d6112587",
+ "metadata": {},
+ "source": [
+ "# 누구에게 혜택을 줘야 효과가 가장 클까? — Meta-Learner\n",
+ "\n",
+ "Causal Studio 실습 노트북 ·\n",
+ "[Facure Ch.18](https://matheusfacure.github.io/python-causality-handbook/18-Heterogeneous-Treatment-Effects-and-Personalization.html) ·\n",
+ "[Ch.21](https://matheusfacure.github.io/python-causality-handbook/21-Meta-Learners.html) 기반\n",
+ "\n",
+ "작성자 권휘준 · GitHub"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "1336e3cf",
+ "metadata": {},
+ "source": [
+ "외식 예약 플랫폼 MealBook은 최근 **'타깃 혜택 프로모션'** 을 진행했습니다.\n",
+ "특정 조건을 만족하는 매장 약 190곳에 \"1만원+ 혜택\" 배지를 붙이고, 2주간 예약 변화를 추적했죠.\n",
+ "\n",
+ "결과 보고서가 나왔습니다. 담당자가 이렇게 말합니다.\n",
+ "\n",
+ "> \"효과 있었어. 그런데… **다음에도 같은 매장에 혜택을 줄까?\n",
+ "> 아니면 아직 혜택 못 받은 매장 중 더 효과적인 곳이 있지 않을까?**\"\n",
+ "\n",
+ "이 질문이 핵심입니다. \"평균적으로 효과 있다\"를 넘어,\n",
+ "**어떤 매장에 줄 때 효과가 가장 크냐** 를 알아야 다음 예산을 현명하게 쓸 수 있습니다.\n",
+ "\n",
+ "이 노트북에서는 그 질문에 답하기 위해 **Meta-Learner** 세 가지(S / T / X-Learner)를\n",
+ "단계별로 직접 구현합니다.\n",
+ "\n",
+ "### 이 노트북에서 배울 것\n",
+ "\n",
+ "1. 평균 효과(ATE)만으로는 왜 부족한지\n",
+ "2. **CATE**(조건부 평균 처치 효과) — 매장마다 다른 효과를 추정하는 아이디어\n",
+ "3. **S / T / X-Learner** — 세 방법의 원리, 코드, 차이\n",
+ "4. **Cumulative Gain Curve** — 모델이 정말 잘 추천하는지 평가\n",
+ "5. **정책 시뮬레이션** — \"Top-K 매장에만 줄 때 ROI\"\n",
+ "\n",
+ "### 필요한 사전 지식\n",
+ "\n",
+ "- 평균, 기댓값, 회귀분석 기초 (통계학 입문 수준)\n",
+ "- Python / pandas 기초 (데이터 다루기 수준)\n",
+ "\n",
+ "인과추론을 처음 접하는 분도 괜찮습니다.\n",
+ "수식이 나와도 앞뒤 설명을 먼저 읽으면 자연스럽게 따라올 수 있도록 구성했습니다.\n",
+ "\n",
+ "> **데이터 안내 — 시뮬레이션 데이터셋** \n",
+ "> 이 노트북은 공개 학습용으로 만든 **합성(가상) 데이터**를 사용합니다. 실제 매장·예약 데이터가 아니라, 메타러너의 작동 방식과 선택 편향을 **연습할 수 있도록 현실적인 구조(선택 편향·이질적 효과)를 갖춰 생성**한 샌드박스입니다. 실제 인과추론처럼 *진짜 처치효과는 모른다고 가정* 하며, 수치는 방법을 익히기 위한 예시일 뿐 특정 사업체의 성과가 아닙니다.\n",
+ "\n",
+ "> **구현 방식 안내** \n",
+ "> S / T / X-Learner를 `econml`·`causalml` 같은 전문 라이브러리 대신 **scikit-learn으로 직접 구현**합니다. 각 메타러너가 내부에서 *무엇을* 하는지 단계별로 이해하는 것이 이 노트북의 목적이기 때문입니다. 실무에서는 검증된 라이브러리 사용을 권장하며, 관련 링크는 마지막 **다음 단계** 절에 있습니다.\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "ccfd4f42",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:42.338067Z",
+ "iopub.status.busy": "2026-05-17T07:20:42.337913Z",
+ "iopub.status.idle": "2026-05-17T07:20:43.960312Z",
+ "shell.execute_reply": "2026-05-17T07:20:43.959863Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "✅ 한글 폰트: Apple SD Gothic Neo\n"
+ ]
+ }
+ ],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import matplotlib\n",
+ "import matplotlib.pyplot as plt\n",
+ "import matplotlib.font_manager as fm\n",
+ "import seaborn as sns\n",
+ "from pathlib import Path\n",
+ "from sklearn.ensemble import GradientBoostingRegressor\n",
+ "from sklearn.linear_model import LogisticRegression\n",
+ "from sklearn.preprocessing import OneHotEncoder\n",
+ "from sklearn.compose import ColumnTransformer\n",
+ "from sklearn.neighbors import NearestNeighbors\n",
+ "from matplotlib import style\n",
+ "\n",
+ "# 한글 폰트 자동 감지\n",
+ "KOREAN_FONTS = ['Apple SD Gothic Neo', 'NanumGothic', 'Nanum Gothic', 'Malgun Gothic', 'AppleGothic']\n",
+ "available = {f.name for f in fm.fontManager.ttflist}\n",
+ "chosen = next((f for f in KOREAN_FONTS if f in available), None)\n",
+ "if chosen:\n",
+ " matplotlib.rcParams['font.family'] = chosen\n",
+ " matplotlib.rcParams['axes.unicode_minus'] = False\n",
+ " print(f\"✅ 한글 폰트: {chosen}\")\n",
+ "else:\n",
+ " print(\"⚠️ 한글 폰트를 찾을 수 없습니다\")\n",
+ "\n",
+ "style.use(\"fivethirtyeight\")\n",
+ "matplotlib.rcParams['figure.figsize'] = (10, 4)\n",
+ "np.random.seed(42)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "3d864873",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:43.961597Z",
+ "iopub.status.busy": "2026-05-17T07:20:43.961455Z",
+ "iopub.status.idle": "2026-05-17T07:20:44.050740Z",
+ "shell.execute_reply": "2026-05-17T07:20:44.050342Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "총 매장 수: 8,802개\n",
+ "혜택 매장 (T=1): 186개 ← 이번 프로모션 대상\n",
+ "일반 매장 (T=0): 8,616개 ← 비교 대상\n",
+ "\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ "
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+ "\n",
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+ " \n",
+ " \n",
+ " | \n",
+ " unit_id | \n",
+ " treatment | \n",
+ " grade | \n",
+ " region | \n",
+ " category_main | \n",
+ " pre_metric | \n",
+ " post_metric | \n",
+ "
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+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " 203858 | \n",
+ " 0 | \n",
+ " A | \n",
+ " 대전광역시 | \n",
+ " 일식/스시/회 | \n",
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+ " 94 | \n",
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+ " \n",
+ " | 1 | \n",
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+ " unit_id treatment grade region category_main pre_metric post_metric\n",
+ "0 203858 0 A 대전광역시 일식/스시/회 118 94\n",
+ "1 417347 0 C 경기도 이자카야/주점 65 44\n",
+ "2 722775 0 A 제주특별자치도 일식/스시/회 329 362\n",
+ "3 230458 0 C 경기도 이자카야/주점 40 57\n",
+ "4 333037 0 C 경기도 와인/다이닝바 140 150"
+ ]
+ },
+ "execution_count": 2,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "data_path = Path(\"data/cohort.parquet\")\n",
+ "if not data_path.exists():\n",
+ " data_path = Path(\"book/meta_learner/data/cohort.parquet\")\n",
+ "\n",
+ "df = pd.read_parquet(data_path)\n",
+ "df.columns = [c.lower() for c in df.columns]\n",
+ "\n",
+ "print(f\"총 매장 수: {len(df):,}개\")\n",
+ "print(f\"혜택 매장 (T=1): {df.treatment.sum()}개 ← 이번 프로모션 대상\")\n",
+ "print(f\"일반 매장 (T=0): {(df.treatment==0).sum():,}개 ← 비교 대상\")\n",
+ "print()\n",
+ "cols = ['unit_id', 'treatment', 'grade', 'region',\n",
+ " 'category_main', 'pre_metric', 'post_metric']\n",
+ "df[cols].head()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5a8cc2a4",
+ "metadata": {},
+ "source": [
+ "## 1) 단순 비교의 함정 — Naive ATE\n",
+ "\n",
+ "가장 먼저 떠오르는 분석은 이겁니다.\n",
+ "\n",
+ "> \"혜택 받은 매장 평균 예약수 − 혜택 안 받은 매장 평균 예약수\"\n",
+ "\n",
+ "이걸 **Naive ATE**(단순 평균 처치 효과)라고 합니다. 직접 계산해봅시다."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "a935779f",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:44.051856Z",
+ "iopub.status.busy": "2026-05-17T07:20:44.051786Z",
+ "iopub.status.idle": "2026-05-17T07:20:44.063425Z",
+ "shell.execute_reply": "2026-05-17T07:20:44.063049Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "혜택 매장 평균 예약수: 499.2건\n",
+ "일반 매장 평균 예약수: 176.0건\n",
+ "단순 차이 (Naive ATE): 323.2건\n",
+ "\n",
+ "등급별 혜택 매장 분포:\n",
+ "treatment 0 1 All\n",
+ "grade \n",
+ "A 981 19 1000\n",
+ "B 3733 81 3814\n",
+ "C 3005 58 3063\n",
+ "NA 346 14 360\n",
+ "P 53 0 53\n",
+ "S 438 11 449\n",
+ "SS 60 3 63\n",
+ "All 8616 186 8802\n"
+ ]
+ }
+ ],
+ "source": [
+ "mean_t1 = df.loc[df.treatment == 1, 'post_metric'].mean()\n",
+ "mean_t0 = df.loc[df.treatment == 0, 'post_metric'].mean()\n",
+ "\n",
+ "print(f\"혜택 매장 평균 예약수: {mean_t1:.1f}건\")\n",
+ "print(f\"일반 매장 평균 예약수: {mean_t0:.1f}건\")\n",
+ "print(f\"단순 차이 (Naive ATE): {mean_t1 - mean_t0:.1f}건\")\n",
+ "print()\n",
+ "print(\"등급별 혜택 매장 분포:\")\n",
+ "print(pd.crosstab(df.grade, df.treatment, margins=True))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "5409e795",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:44.064561Z",
+ "iopub.status.busy": "2026-05-17T07:20:44.064481Z",
+ "iopub.status.idle": "2026-05-17T07:20:44.169826Z",
+ "shell.execute_reply": "2026-05-17T07:20:44.169421Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots(figsize=(10, 5))\n",
+ "for t, lbl, c, a, s in [\n",
+ " (0, '일반 매장 (T=0)', 'steelblue', 0.15, 12),\n",
+ " (1, '혜택 매장 (T=1)', 'crimson', 0.75, 40),\n",
+ "]:\n",
+ " sub = df[df.treatment == t]\n",
+ " ax.scatter(sub.pre_metric, sub.post_metric,\n",
+ " alpha=a, s=s, color=c, label=f'{lbl} (n={len(sub):,})')\n",
+ "ax.plot([0, 500], [0, 500], 'k--', lw=0.8, label='y = x (변화 없음)')\n",
+ "ax.set_xlim(0, 500); ax.set_ylim(0, 600)\n",
+ "ax.set_xlabel('프로모션 전 2주 예약수')\n",
+ "ax.set_ylabel('프로모션 후 2주 예약수')\n",
+ "ax.set_title('혜택 매장(빨강)은 처음부터 큰 매장 — 선택 편향')\n",
+ "ax.legend()\n",
+ "plt.tight_layout()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "4f933656",
+ "metadata": {},
+ "source": [
+ "Naive ATE가 **약 -2건** 으로 나왔습니다. \"혜택을 줬더니 예약이 줄었다\"는 뜻일까요?\n",
+ "\n",
+ "아닙니다. 산점도를 보면 이유가 보입니다.\n",
+ "빨간 점(혜택 매장)이 파란 점보다 전반적으로 **오른쪽 위** 에 몰려 있습니다.\n",
+ "이 매장들은 프로모션 전부터 이미 예약이 많은 큰 매장들이었어요.\n",
+ "\n",
+ "왜 그럴까요? 회사가 대상을 무작위로 고른 게 아니기 때문입니다.\n",
+ "가격대, 등급, 입점 조건을 만족한 매장만 혜택을 받았고,\n",
+ "자연스럽게 \"원래 잘 되는\" 매장이 포함될 가능성이 높았습니다.\n",
+ "\n",
+ "이처럼 처치(T) 여부가 결과(Y)와 관련 있는 제3의 변수에 의해 결정될 때,\n",
+ "단순 비교는 처치 효과와 그 변수의 효과를 **뒤섞어버립니다**.\n",
+ "이를 **선택 편향(Selection Bias)** 이라 합니다.\n",
+ "\n",
+ "인과추론의 과제는 이 편향을 걷어내고 **순수한 처치 효과를 추정** 하는 것입니다."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2efe7c33",
+ "metadata": {},
+ "source": [
+ "## 2) CATE — 매장마다 다른 효과를 추정하자\n",
+ "\n",
+ "선택 편향 문제 말고도, 더 근본적인 질문이 있습니다.\n",
+ "\n",
+ "> \"전체 평균 효과가 +10건이라면, 그게 모든 매장에게 +10건씩이라는 뜻일까?\"\n",
+ "\n",
+ "현실은 그렇지 않습니다.\n",
+ "효과가 큰 매장은 +30건, 효과가 없는 매장은 0건,\n",
+ "오히려 역효과인 매장은 -5건일 수도 있어요.\n",
+ "\n",
+ "이런 **이질성(Heterogeneity)** 을 무시하고 평균만 보면,\n",
+ "\"효과 없는 매장\"에 예산을 낭비하거나 \"효과 큰 매장\"을 놓칩니다.\n",
+ "\n",
+ "### 표기법\n",
+ "\n",
+ "먼저 자주 쓰이는 기호를 정리합니다.\n",
+ "낯설어 보여도 뒤에서 자연스럽게 쓰이니 한 번 훑어보세요.\n",
+ "\n",
+ "| 기호 | 이름 | 우리 데이터에서 의미 |\n",
+ "|------|------|------|\n",
+ "| $i$ | 관측 단위 | 매장 하나 |\n",
+ "| $T_i \\in \\{0,1\\}$ | 처치 변수 | 혜택 등록(1) / 미등록(0) |\n",
+ "| $Y_i$ | 결과 변수 | 프로모션 후 2주 예약수 |\n",
+ "| $X_i$ | 특성 벡터 | 등급, 지역, 업종, 가격대 등 |\n",
+ "| $Y_i(1),\\; Y_i(0)$ | 잠재적 결과 | \"받았을 때\" / \"안 받았을 때\" 예약수 |\n",
+ "| $\\tau_i = Y_i(1) - Y_i(0)$ | 개별 효과 | 이 매장만의 혜택 효과 (**관측 불가**) |\n",
+ "\n",
+ "**핵심 한 줄**: 매장 $i$는 혜택을 받거나 안 받거나 둘 중 하나입니다.\n",
+ "두 결과를 동시에 볼 수 없어요.\n",
+ "이걸 인과추론의 **근본적 문제(Fundamental Problem of Causal Inference)** 라고 합니다.\n",
+ "\n",
+ "### CATE — 비슷한 매장 그룹의 평균 효과\n",
+ "\n",
+ "개별 효과 $\\tau_i$ 를 직접 구할 수 없으니,\n",
+ "\"비슷한 특성을 가진 매장 그룹\"에서의 평균 효과를 추정합니다.\n",
+ "\n",
+ "$$\\tau(x) = E[Y_i(1) - Y_i(0) \\mid X_i = x]$$\n",
+ "\n",
+ "이게 **CATE(Conditional Average Treatment Effect)** 입니다.\n",
+ "\"특성이 $x$인 매장 그룹에서, 혜택을 줬을 때 예약수가 평균 얼마나 늘었는가\"를 추정하죠.\n",
+ "\n",
+ "예를 들면:\n",
+ "- 서울 강남구 A등급 매장 → $\\tau(x) = +15$건\n",
+ "- 부산 해운대구 B등급 매장 → $\\tau(x) = +5$건\n",
+ "- 지방 C등급 소규모 매장 → $\\tau(x) = -2$건\n",
+ "\n",
+ "$\\tau(x)$ 를 매장별로 추정할 수 있다면,\n",
+ "다음 프로모션에서 $\\tau(x)$ 가 높은 매장부터 혜택을 주면 됩니다."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "342a544a",
+ "metadata": {},
+ "source": [
+ "## 3) 비교 가능한 집단 만들기\n",
+ "\n",
+ "CATE를 추정하려면 먼저 선택 편향 문제를 해결해야 합니다. 전략은 이렇습니다.\n",
+ "\n",
+ "> \"비슷한 특성을 가진 매장끼리만 비교하자.\"\n",
+ "\n",
+ "A등급 서울 매장끼리, B등급 부산 매장끼리 비교하면\n",
+ "혜택 여부 외의 조건이 비슷해집니다.\n",
+ "이 전략의 핵심 도구가 **Propensity Score** 입니다.\n",
+ "\n",
+ "### Propensity Score — \"이 매장이 혜택 받을 확률\"\n",
+ "\n",
+ "$$e(x) = P(T=1 \\mid X=x)$$\n",
+ "\n",
+ "매장의 특성 $x$ 를 보고, \"이 특성을 가진 매장이 혜택을 받을 확률\"을 추정합니다.\n",
+ "로지스틱 회귀로 학습하면 됩니다.\n",
+ "\n",
+ "왜 유용할까요?\n",
+ "\n",
+ "- **Overlap 진단**: T=1과 T=0의 $e(x)$ 분포가 겹치는 구간만 신뢰할 수 있어요\n",
+ "- **Matching 기준**: $e(x)$ 가 비슷한 매장끼리 짝지어 비교합니다\n",
+ "- **X-Learner 가중치**: 뒤에서 다시 씁니다\n",
+ "\n",
+ "$e(x)$ 가 극단적인 구간(T=1만 있거나, T=0만 있거나)은\n",
+ "\"비교 상대가 없다\"는 뜻이므로 분석에서 제외(Trim)해야 합니다."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "e481c431",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:44.171135Z",
+ "iopub.status.busy": "2026-05-17T07:20:44.171047Z",
+ "iopub.status.idle": "2026-05-17T07:20:44.184608Z",
+ "shell.execute_reply": "2026-05-17T07:20:44.184243Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "특성 행렬 크기: (8802, 44) (매장 수 × 특성 수)\n",
+ "전체 혜택 비율: 2.1% ← 매우 불균형한 데이터!\n"
+ ]
+ }
+ ],
+ "source": [
+ "# 특성 변수 정의\n",
+ "numeric_features = [\n",
+ " 'price_level', 'review_volume', 'rating',\n",
+ " 'save_count', 'tenure_days', 'pre_metric'\n",
+ "]\n",
+ "cat_features = [\n",
+ " 'grade', 'region', 'category_main',\n",
+ "]\n",
+ "\n",
+ "# 결측치 처리\n",
+ "for c in cat_features:\n",
+ " df[c] = df[c].fillna('NA').astype(str)\n",
+ "for c in numeric_features:\n",
+ " df[c] = pd.to_numeric(df[c], errors='coerce').fillna(df[c].median())\n",
+ "\n",
+ "# 원-핫 인코딩\n",
+ "preprocessor = ColumnTransformer([\n",
+ " ('num', 'passthrough', numeric_features),\n",
+ " ('cat', OneHotEncoder(handle_unknown='ignore', sparse_output=False), cat_features),\n",
+ "])\n",
+ "X = preprocessor.fit_transform(df)\n",
+ "T = df.treatment.values\n",
+ "Y = df.post_metric.values\n",
+ "\n",
+ "print(f\"특성 행렬 크기: {X.shape} (매장 수 × 특성 수)\")\n",
+ "print(f\"전체 혜택 비율: {T.mean():.1%} ← 매우 불균형한 데이터!\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "d9c15736",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:44.185777Z",
+ "iopub.status.busy": "2026-05-17T07:20:44.185700Z",
+ "iopub.status.idle": "2026-05-17T07:20:44.978212Z",
+ "shell.execute_reply": "2026-05-17T07:20:44.977709Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/hj/nansoo/02_project/causal_studio/.venv/lib/python3.11/site-packages/sklearn/linear_model/_logistic.py:406: ConvergenceWarning: lbfgs failed to converge after 2000 iteration(s) (status=1):\n",
+ "STOP: TOTAL NO. OF ITERATIONS REACHED LIMIT\n",
+ "\n",
+ "Increase the number of iterations to improve the convergence (max_iter=2000).\n",
+ "You might also want to scale the data as shown in:\n",
+ " https://scikit-learn.org/stable/modules/preprocessing.html\n",
+ "Please also refer to the documentation for alternative solver options:\n",
+ " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
+ " n_iter_i = _check_optimize_result(\n"
+ ]
+ },
+ {
+ "data": {
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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Propensity Score 학습\n",
+ "ps_model = LogisticRegression(max_iter=2000, class_weight='balanced', random_state=42)\n",
+ "ps_model.fit(X, T)\n",
+ "e_hat = ps_model.predict_proba(X)[:, 1]\n",
+ "df['propensity'] = e_hat\n",
+ "\n",
+ "# Overlap 시각화\n",
+ "fig, ax = plt.subplots(figsize=(10, 4))\n",
+ "ax.hist(e_hat[T==0], bins=50, alpha=0.5, label='일반 매장 (T=0)', density=True, color='steelblue')\n",
+ "ax.hist(e_hat[T==1], bins=50, alpha=0.6, label='혜택 매장 (T=1)', density=True, color='crimson')\n",
+ "ax.axvline(0.01, color='k', ls='--', lw=1, alpha=0.6, label='Trim 경계 (0.01)')\n",
+ "ax.axvline(0.5, color='k', ls=':', lw=1, alpha=0.6, label='Trim 경계 (0.50)')\n",
+ "ax.set_xlabel('Propensity Score $\\hat{e}(x)$')\n",
+ "ax.set_ylabel('밀도')\n",
+ "ax.set_title('Propensity Score 분포 — 겹치는 구간만 비교 가능')\n",
+ "ax.legend()\n",
+ "plt.tight_layout()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "07ce7721",
+ "metadata": {},
+ "source": [
+ "그래프에서 두 가지를 읽을 수 있습니다.\n",
+ "\n",
+ "**1. 선택 편향 확인**: 빨간 분포(혜택 매장)가 파란 분포보다 오른쪽에 치우쳐 있습니다.\n",
+ "같은 Propensity에서 혜택 매장이 더 많다는 뜻이고, 이게 선택 편향의 시그널입니다.\n",
+ "\n",
+ "**2. 비교 불가 구간**: $\\hat{e}(x) > 0.5$ 구간은 거의 혜택 매장만 존재합니다.\n",
+ "비교할 일반 매장이 없어요. 반대로 $\\hat{e}(x) < 0.01$ 구간은 일반 매장만 있습니다.\n",
+ "\n",
+ "이 두 구간은 \"비교 대상이 없다\"는 뜻이므로 분석에서 제거합니다. 이 과정을 **Trimming** 이라 합니다."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "d3649236",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:44.979511Z",
+ "iopub.status.busy": "2026-05-17T07:20:44.979417Z",
+ "iopub.status.idle": "2026-05-17T07:20:44.986041Z",
+ "shell.execute_reply": "2026-05-17T07:20:44.985606Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Trim 전: 8,802개 (T=1: 186, T=0: 8,616)\n",
+ "Trim 후: 6,653개 (T=1: 58, T=0: 6,595)\n",
+ "\n",
+ "Matching 후: 227개 (T=1: 58, T=0: 169)\n",
+ "→ 혜택 매장 1개당 Propensity 가장 가까운 일반 매장 3개씩 매칭\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Trim: 비교 불가 구간 제거\n",
+ "mask = (e_hat >= 0.01) & (e_hat <= 0.5)\n",
+ "X_tr, T_tr, Y_tr, e_tr = X[mask], T[mask], Y[mask], e_hat[mask]\n",
+ "df_tr = df[mask].reset_index(drop=True)\n",
+ "\n",
+ "print(f\"Trim 전: {len(df):,}개 (T=1: {T.sum()}, T=0: {(T==0).sum():,})\")\n",
+ "print(f\"Trim 후: {mask.sum():,}개 (T=1: {T_tr.sum()}, T=0: {(T_tr==0).sum():,})\")\n",
+ "print()\n",
+ "\n",
+ "# 1:3 Nearest Neighbor Matching (Propensity Score 기준)\n",
+ "ctrl_idx = np.where(T_tr == 0)[0]\n",
+ "trt_idx = np.where(T_tr == 1)[0]\n",
+ "\n",
+ "nn = NearestNeighbors(n_neighbors=3)\n",
+ "nn.fit(e_tr[ctrl_idx].reshape(-1, 1))\n",
+ "_, nbr = nn.kneighbors(e_tr[trt_idx].reshape(-1, 1))\n",
+ "matched_ctrl = np.unique(ctrl_idx[nbr.flatten()])\n",
+ "final_idx = np.concatenate([trt_idx, matched_ctrl])\n",
+ "\n",
+ "Xm, Tm, Ym, em = X_tr[final_idx], T_tr[final_idx], Y_tr[final_idx], e_tr[final_idx]\n",
+ "dfm = df_tr.iloc[final_idx].reset_index(drop=True)\n",
+ "\n",
+ "print(f\"Matching 후: {len(Tm)}개 (T=1: {Tm.sum()}, T=0: {(Tm==0).sum()})\")\n",
+ "print(f\"→ 혜택 매장 1개당 Propensity 가장 가까운 일반 매장 3개씩 매칭\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "25774269",
+ "metadata": {},
+ "source": [
+ "Trim과 Matching을 거쳐 **총 257개 매장** 으로 코호트를 구성했습니다.\n",
+ "\n",
+ "\"데이터를 많이 버리는 거 아닌가?\"라는 의문이 생길 수 있습니다.\n",
+ "맞습니다. 하지만 비교 불가능한 매장까지 포함하면 추정 결과가 오히려 왜곡됩니다.\n",
+ "**양보다 질** — 비교 가능한 쌍으로만 추정하는 게 더 신뢰할 수 있어요.\n",
+ "\n",
+ "이제 이 257개 데이터로 세 가지 Meta-Learner를 학습합니다."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "bb09b1b7",
+ "metadata": {},
+ "source": [
+ "## 4) S-Learner — 한 모델이 다 본다\n",
+ "\n",
+ "첫 번째 방법, **S-Learner** ('S'는 Single의 S)입니다.\n",
+ "\n",
+ "아이디어는 단순합니다.\n",
+ "처치 여부 $T$ 를 그냥 특성 하나로 취급하고, **하나의 모델** 로 결과를 예측합니다.\n",
+ "\n",
+ "$$\\hat{\\mu}(x, T) \\approx E[Y \\mid X=x,\\, T]$$\n",
+ "\n",
+ "그러면 같은 매장에 대해 \"$T=1$ 이면 예약수가 얼마\"와\n",
+ "\"$T=0$ 이면 예약수가 얼마\"를 각각 예측할 수 있습니다.\n",
+ "그 차이가 CATE 추정값입니다.\n",
+ "\n",
+ "$$\\hat{\\tau}_S(x) = \\hat{\\mu}(x,\\, 1) - \\hat{\\mu}(x,\\, 0)$$\n",
+ "\n",
+ "한 명의 의사가 처치받은 환자와 안 받은 환자를 모두 진료하면서,\n",
+ "\"이 환자에게 처치를 해줬으면 / 안 해줬으면 어땠을까\"를 동시에 예측하는 것과 같습니다.\n",
+ "\n",
+ "**한계**: GBM 같은 트리 기반 모델은 정규화 과정에서\n",
+ "$T$ 를 노이즈 변수처럼 **무시** 해버릴 수 있습니다.\n",
+ "처치 효과를 실제보다 작게 추정하는 **과소추정 경향** 이 있습니다."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "3ef57e0c",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:44.987281Z",
+ "iopub.status.busy": "2026-05-17T07:20:44.987183Z",
+ "iopub.status.idle": "2026-05-17T07:20:45.063778Z",
+ "shell.execute_reply": "2026-05-17T07:20:45.063405Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "S-Learner 결과\n",
+ " ATE 추정: 48.74건\n",
+ " 중앙값: 48.19건\n",
+ " 표준편차: 16.07건\n",
+ " 범위: [11.6, 76.4]\n"
+ ]
+ }
+ ],
+ "source": [
+ "# T를 특성에 추가해 하나의 행렬로 만듦\n",
+ "XT = np.column_stack([Xm, Tm])\n",
+ "\n",
+ "# 단일 모델 학습\n",
+ "s_model = GradientBoostingRegressor(n_estimators=200, max_depth=3, random_state=42)\n",
+ "s_model.fit(XT, Ym)\n",
+ "\n",
+ "# T=1, T=0 시나리오 각각 예측\n",
+ "XT1 = np.column_stack([Xm, np.ones(len(Xm))]) # 모든 매장이 혜택받은 경우\n",
+ "XT0 = np.column_stack([Xm, np.zeros(len(Xm))]) # 모든 매장이 혜택 없는 경우\n",
+ "cate_s = s_model.predict(XT1) - s_model.predict(XT0)\n",
+ "\n",
+ "print(\"S-Learner 결과\")\n",
+ "print(f\" ATE 추정: {cate_s.mean():.2f}건\")\n",
+ "print(f\" 중앙값: {np.median(cate_s):.2f}건\")\n",
+ "print(f\" 표준편차: {cate_s.std():.2f}건\")\n",
+ "print(f\" 범위: [{cate_s.min():.1f}, {cate_s.max():.1f}]\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5b3c6941",
+ "metadata": {},
+ "source": [
+ "## 5) T-Learner — 그룹별로 따로 배운다\n",
+ "\n",
+ "두 번째 방법, **T-Learner** ('T'는 Two의 T)입니다.\n",
+ "\n",
+ "S-Learner의 한계, 즉 모델이 $T$ 를 무시할 수 있다는 문제를 해결하기 위해\n",
+ "아예 그룹별로 모델을 **따로** 학습합니다.\n",
+ "\n",
+ "$$\\hat{\\mu}_1(x): \\text{혜택 매장(T=1) 데이터만으로 학습}$$\n",
+ "\n",
+ "$$\\hat{\\mu}_0(x): \\text{일반 매장(T=0) 데이터만으로 학습}$$\n",
+ "\n",
+ "CATE는 두 모델 예측의 차이입니다.\n",
+ "\n",
+ "$$\\hat{\\tau}_T(x) = \\hat{\\mu}_1(x) - \\hat{\\mu}_0(x)$$\n",
+ "\n",
+ "두 명의 전문 의사가 있는 셈입니다.\n",
+ "한 명은 혜택 받은 매장만 수없이 봐서 그쪽 전문가고,\n",
+ "다른 한 명은 혜택 없는 매장 전문가입니다.\n",
+ "새 매장에 대해 각자 예측하고, 그 차이를 봅니다.\n",
+ "\n",
+ "**한계**: 우리 데이터는 처치군(T=1)이 전체의 약 2%로, 일반군(T=0)보다 **극심하게 적습니다**.\n",
+ "T=1 전용 모델 $\\hat{\\mu}_1$ 은 이 소수의 처치군만으로 학습해야 하니 불안정합니다.\n",
+ "극단적인 예측값(outlier)이 튀어나올 수 있어요."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "b11bea0c",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:45.065208Z",
+ "iopub.status.busy": "2026-05-17T07:20:45.065111Z",
+ "iopub.status.idle": "2026-05-17T07:20:45.160569Z",
+ "shell.execute_reply": "2026-05-17T07:20:45.160183Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "T-Learner 결과\n",
+ " ATE 추정: 58.74건\n",
+ " 중앙값: 59.15건\n",
+ " 표준편차: 38.08건 ← S-Learner보다 훨씬 큰 변동성!\n",
+ " 범위: [-114.8, 229.0] ← 극단값 주의\n"
+ ]
+ }
+ ],
+ "source": [
+ "# T=1, T=0 그룹 각각 별도 모델\n",
+ "mu1 = GradientBoostingRegressor(n_estimators=200, max_depth=3, random_state=42)\n",
+ "mu1.fit(Xm[Tm==1], Ym[Tm==1]) # 소수의 처치군(T=1)으로 학습\n",
+ "\n",
+ "mu0 = GradientBoostingRegressor(n_estimators=200, max_depth=3, random_state=42)\n",
+ "mu0.fit(Xm[Tm==0], Ym[Tm==0]) # 다수의 일반군(T=0)으로 학습\n",
+ "\n",
+ "cate_t = mu1.predict(Xm) - mu0.predict(Xm)\n",
+ "\n",
+ "print(\"T-Learner 결과\")\n",
+ "print(f\" ATE 추정: {cate_t.mean():.2f}건\")\n",
+ "print(f\" 중앙값: {np.median(cate_t):.2f}건\")\n",
+ "print(f\" 표준편차: {cate_t.std():.2f}건 ← S-Learner보다 훨씬 큰 변동성!\")\n",
+ "print(f\" 범위: [{cate_t.min():.1f}, {cate_t.max():.1f}] ← 극단값 주의\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "b310e1a3",
+ "metadata": {},
+ "source": [
+ "표준편차가 S-Learner에 비해 매우 크고, 범위도 수백 건을 넘습니다.\n",
+ "소수의 처치군으로 학습한 $\\hat{\\mu}_1$ 이 불안정하기 때문입니다.\n",
+ "\n",
+ "불균형이 심한 상황에서 T-Learner는 **\"극단값 생산기\"** 가 될 수 있습니다.\n",
+ "\n",
+ "이 문제를 해결하기 위한 방법이 바로 다음에 나오는 X-Learner입니다."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "31ec0813",
+ "metadata": {},
+ "source": [
+ "## 6) X-Learner — 불균형을 이기는 법\n",
+ "\n",
+ "2019년 Künzel 등이 PNAS에 발표한 방법으로,\n",
+ "표본 불균형 상황에서 **추정을 안정화**하도록 설계됐습니다.\n",
+ "\n",
+ "핵심 아이디어는 **\"서로의 데이터로 빈칸을 채운다\"** 입니다.\n",
+ "\n",
+ "처치군(T=1)이 워낙 적어 $\\hat{\\mu}_1$ 이 불안정했습니다.\n",
+ "반면 일반군(T=0)은 많아 $\\hat{\\mu}_0$ 은 상대적으로 안정적입니다.\n",
+ "\n",
+ "X-Learner는 안정적인 $\\hat{\\mu}_0$ 을 써서\n",
+ "T=1 매장의 \"개별 효과\"를 **직접 만들어냅니다**.\n",
+ "\n",
+ "총 4단계로 나눠서 살펴봅시다."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d60142f2",
+ "metadata": {},
+ "source": [
+ "### Step 1 — $\\hat{\\mu}_0$, $\\hat{\\mu}_1$ 각각 학습 (T-Learner Step 1과 동일)\n",
+ "\n",
+ "T=1 매장으로 $\\hat{\\mu}_1$, T=0 매장으로 $\\hat{\\mu}_0$ 을 학습합니다.\n",
+ "앞에서 이미 학습했으니 그대로 씁니다.\n",
+ "\n",
+ "---\n",
+ "\n",
+ "### Step 2 — Pseudo-outcome 만들기 ⭐ (X-Learner의 핵심)\n",
+ "\n",
+ "T=1 매장 $i$ 에 대해:\n",
+ "\n",
+ "$$\\tilde{D}^1_i = Y_i - \\hat{\\mu}_0(X_i)$$\n",
+ "\n",
+ "이게 뭘까요?\n",
+ "\n",
+ "- $Y_i$: 실제로 혜택을 받은 후 예약수\n",
+ "- $\\hat{\\mu}_0(X_i)$: 이 매장이 혜택을 **안 받았다면** 예약수 (T=0 모델로 예측)\n",
+ "- 그 차이 $\\tilde{D}^1_i$: **이 매장의 개별 처치 효과 추정값**\n",
+ "\n",
+ "T=0 매장 $j$ 에 대해서는:\n",
+ "\n",
+ "$$\\tilde{D}^0_j = \\hat{\\mu}_1(X_j) - Y_j$$\n",
+ "\n",
+ "- $\\hat{\\mu}_1(X_j)$: 이 매장이 혜택을 **받았다면** 예약수 (T=1 모델로 예측)\n",
+ "- $Y_j$: 실제 예약수 (혜택 없이)\n",
+ "- 그 차이 $\\tilde{D}^0_j$: 이 매장이 혜택받았을 때의 예상 효과\n",
+ "\n",
+ "**한 줄 핵심**:\n",
+ "관측할 수 없었던 반사실(counterfactual)을 상대 그룹 모델로 메워서,\n",
+ "**개별 효과를 직접 추정** 합니다."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "a7dc95c9",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:45.161965Z",
+ "iopub.status.busy": "2026-05-17T07:20:45.161859Z",
+ "iopub.status.idle": "2026-05-17T07:20:45.303109Z",
+ "shell.execute_reply": "2026-05-17T07:20:45.302638Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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IBVRqrYvkVcbohPl///sfmzMF1I1H44U097P166+/2iOPPOK6cUUmmUTd7dRy/8ADD7AP07DvEvnMCZ+79Fl33XXrnCSK9p26lqp6SSfoXgucPi+RSSbZaqutXJeaBx98sM79en779u1dlVT066mrzb/+9a/wsoFUUfVqdCVO9HHKcR2bYp9439Off/65/fvf/7ZTTjml3veHKovV1S76OyEfENvH1pJjaGLVpm2flhwPEndlRl4lmjSegajferSOHTu6i1qOkFmLFi2yHXfc0VXHqAJD1S3KvkfuR1XGqDw4mtdSN3fu3LSuc0uX7Gfrm2++ift8VXKo9ZbPYvZ85oTPXeapm5Gq0HSSrtY3VaXF+gyJPkP6HozsJql9qAAzujud8N2JbMBxHZ/GM1SSTvGPurqqsSb68y2xvhPKysrczM/5+LtKbF8XMbR/x0pLjFWJB+si7sqxMZoyyUs+qM96LLrf+1JBZqi1XS3rO+20k8sua7wBldWrdf6///2vbbTRRm4/NrQPhf2Y3Z+txp6vKid1wVMQzThNmf/MefuMz13mVFRUuFla1UW1qKgooc/QqlWrXAWU9xwFxLEGD45cjj6n22+/fcreB/KfKlZjUYJTx25DWuJx3dj20jAAqvDS5Cfdu3d33WfVHV3dz3/++WdXQZDo73A+TphCbP87Ymh/j5WWFqsSD9ZF3JV6eZVoWrFihbsuLS2N+bhafOLN1IP0iJ49R7OlaDwmBVg33HCDGyBX+1El4LG0atXKXbMfs/uz5T0/VmWF93x9wWtcGlVwILOfOW+f8bnLHI2rpJm6vEHbE/kMSfTnLpnnA02hgahjmTRpkhvgviEt8bhubHtpdshHH320zmNDhgxxEwFoTB59h6sbTCLbLpu3Q1MR2/+OGNrfY6WlxarEg3URd6Ve7n9qIngnSWoN8xISkTSOjLK5yC5qwVeg5bXEaT9qwO9Y9IUvqsxA9n62vOfH2496vmZHa6wPOdLzmRM+d5nz2GOPuYSfZp3SOE3e/mjsMxT5PO97sbHn892J5nrllVdi3r/JJps0+r8t8bhuyvbSWCga2F8TO8ybN8+6deuW0LaL11iQy4jtG0YM3fRjhVi15caDxF3pkVeJJv0Qi0quvduRVI6sqdmRffTFrxJx0b7TNL2xaB96z0H2fra856gveCx6vsaiyIdS5Hz4zAmfu8x466233ID66iYTOfBmIp8hDQjctm3bOv/T0PMjlws0lcZ7a6qWeFw3dXt5J8T6ntb7i9x2Gost3u9qviG2bxwxdNOOFWLV+sdPSzgPI+5Kn7waDFyD3IqmWY+mQVXVLUH935Fdqqur3Yxmm2++eXg/avpeXaJpWm9hP2b3Z0s/QKpWev/99+s9X33dtR/Zh9nzmRM+d+n37rvv2rBhw2zgwIF21VVX1Um8akBwjQ8R6zMk+gypIiLyf7QPP/nkE9eaG+v5em4uB4fIfRzXifvyyy/d9WabbVbndzjWd8Lq1avtiy++yMvfVWL7hhFDN/1YIVZtefEgcVd65VWiSf3ZNeuG+r17pX2eyZMn21prrWVHHHFExtavpfvll1/cjDPRtG/UT/rQQw91fx9//PGuL/SNN95YZ8YVfRnedtttbnyZLbfcMq3r3tIl+9nS38cdd5wrTVXZf6TXX3/d/VCdfPLJaVv/lirRz5zwuUsvnSxq+++999521113xexGqiqn6dOn24cffljvBPSll15y05xHOu2009z+vueee+rcr8STppQ/8sgjc77cHbmP47quWCdz3333nT300ENukHAl57yEkwZF10DhmikpkmaoU0XCCSecYPmG2H4NYmj/j5WWFKsSDxJ3ZUJedZ1ToD5+/HgXTA8aNMiOOeYY9wOtmXymTJli11xzTZ1ybKTXq6++aqNHj3Yt+JpqOxQKufs0CKYGvtR4BNKlSxe78MIL3XglS5cudYGWfjAUSOmE69lnn6XLVQ58trQPp06davvvv7+deeaZruVIP9qa8eyQQw5xAQGy4zMnfO7SR99j2v6qWBoxYoTNnDmzzuM9e/Z00zArcfTEE0+4/TRq1CjXXUYtj0rCq/z/qKOOqtdFRwnDSy65xM2so/GedPLpnZhedNFFaXyXQGwc17/Td7Iaz/bYYw/3m6jP/aeffmq33nqrOwnWGE2RrrjiClcBqd9VnQBrtqy3337bNcKp661X/ZRPiO3XIIZOzbHSUmLVlh4PEndlRsGyZct+LxnJE59//rldfvnl7qDS7AK9e/e28847L+70uEgPtbTff//99vzzz7spRTXQnPbN4Ycf7qZfj/7S+te//mU333yzG6BOAdd2223ngqxNN92UXZZimulGAa5KjSNn2kj2s6WTW+2zN99807Xaqhx36NCh7sdcUzojtftO+yiZz5zwuUu9gw46yI0REE/k7F0K7hQ4KxDWPlQQrBPNMWPGuAGDo6kK9IEHHnBBtU5Y27VrZzvttJMLGONN4QykwrfffmvbbLONO2E79thj6zzGcf3753XatGmuCvGzzz5zv5MaZ0nJp0svvTTmBDZ6zl//+leXYNJJoBLQJ510Ur3Ec75p6bE9MXR9xKoNIx78HXFXZuRlogkAAAAAAADpR0kBAAAAAAAAfEGiCQAAAAAAAL4g0QQAAAAAAABfkGgCAAAAAACAL0g0AQAAAAAAwBckmgAAAAAAAOALEk1AC3b//ffbiy++aNmyLi+//HKmVyOvaN9qu4ZCoUyvCgAAeYP4Kb8RPwHNR6IJaMHOPvtsu/766y1b1uWmm25q9nJmzJhhbdq0sb/97W+Wa6qrq926//GPf/Rledq32q4kmgAA8A/xU3YhfgKyD4kmIEucccYZLskQ63LwwQdbtlHy4phjjrHevXvb0qVLk/7/rbfe2rbbbruEnvvdd9/Zn//8Z7cddt11Vzv++OPtnnvucYGFn4488kjbZZddrLKystnLuvvuu+2FF16I+dhjjz1mDz74YJOWe+6558Y8RpRgS0RNTY0deOCBtttuu9nKlSubtA4AAGQL4qf4iJ9+R/wEpFdhml8PQByDBg2y7t27x3ysS5cuDW63zz77zJ5++umEtu3gwYNdcqi5/v73v9s///lPV17crl27Oo9Nnz7dHn/8cVuxYoVtu+22duqpp7pkSFPL0y+88EILBAIuyaTk1KeffuoChjvvvNMeffRR69y5s/lB2/Hbb791iaaSkpJmLeu8886znXfe2Q466KB6j40bN84leYYPH570cpUk6tSpU737u3XrltD/B4NBu/3222333Xe3kSNHuoRdQUFB0usBAEA2IH6KjfipLuInIL1INAFZYuDAge7SFJ9//rlNmDAhoeduueWWzU40ffHFF65r2nHHHecqgCJpPfSYEhrrrbeeS0Yp2HnllVesY8eOSb3Ou+++6xI2ffr0ccvYeOONw49pPKcRI0a4JNbzzz9vhYV1v87uu+++8JhP2q5jxoxp8LWWL19u33//vbs9e/Zsl9RKh+eee86qqqrC1UaN2X///d2lOZS41PYYO3asDRkyJCsr5gAASATxU33ET/URPwHpRaIJyJDDDz+8WWPn3HLLLeHEjRIFy5Yta/D5N998s1166aVWVlZmzfWXv/zFJXYuuOCCOvf/73//c0kmJbOUQFGl0wMPPODGMlAF0iOPPJLU69xwww1uG/3jH/+ok2SSAQMG2OjRo+2aa66xmTNnWr9+/eo83rp163DlTyLVVHotL9GjZNmTTz5ZL3mVCnoPjXU9VMLsk08+SXiZqqSKTgBGO/HEE92YWH/961/tgAMOaHYFFwAA6UD81DjipzWIn4DMIdEEZMi8efMSqmCJx6uCSVRFRYW7Li0tteb4+OOP7aWXXnLjM2200UZ1HvPGHZo0aZKrZpJjjz3W/dCri52qaIqLi939Sox5z4nn/ffft80339w22WSTmI/vu+++LtH0wQcf1Es0HXrooXbxxRcn9J6UyNLA2fqfnj17umSZKqXuuOOOZiWbVPmlhE60n376KbwfVOnlHQcacypWJdUzzzxjDz/8cMKvq66GjSWaWrVqZaeddprrxqek2rBhwxJePgAAmUL8RPwkxE9AdiPRBGTI//3f/8XsvrVw4UL78ccfXfKhffv21qFDB1t//fWb/XreANfNrWh69tlnw2M9RXvqqafcWEEalymSumcp0aQBsr3KGY1R1FiiScm0hsYP0rhN0tRBwTWGlBJMavnTel977bWu+kmVWXov2h/jx4+3Hj16NGn5Su4p2RTrfXmJpk033TR8f7z3cdttt7lLJFV6rVq1ytZee21rKu1DJZq0T0k0AQByAfET8ZMQPwHZjUQTkGG1tbWuWmXKlCkueNLf0dQVTcmac845J1wRlCyvoqm5iSaNh7TWWmvZnnvuWed+JY6UINP90cmhHXbYwV1rTCUldrxZ5xqz/fbb27Rp09wA3V27dq33+Kuvvhp+XjQNGK5KHVESqW/fvuHH5s6da//617/cgOZaZ1VG3XXXXda2bVv3uPaFKqXUhU6VQZrl7qijjnIJtGQqnDS2lKq/oum9N2XGN/2PBu9W5dicOXNc8lBdBLU8VWCpC2UyA3srgabLa6+95pJu66yzTtLrBABAJhA/xUf8VBfxE5B+a8oBAGSMBmQ+88wzbcmSJXbFFVe4wbPfeecd121MSRYlQ1Rlc9VVV7lkUyLd7TR+wZFHHlnnvsWLF7vr6LGOkqFKHM3Mttlmm9Xrgrdo0SJ3rSqsaF7lkt5jslMWq3Ln5JNPtvnz59d5bOrUqW7bKJmz22671ftfjRF10kknucu9994bTjBts802LmGkbnXrrruu6x732GOPhZNMXqXURRddZDNmzLD99tvPJaH69+/vZgX0klt+UVXRXnvt5S5KeMWzevVqV3Wk40XHw/nnn++SYeqa98MPP7hk2HXXXZf06ysBp2V//fXXzXwnAACkD/FTfMRPvyN+AjKDiiYgg3755Re788473ThEb731Vr1qJSU2VA10wgknuIvG6nn77bcbHX9n1qxZ9SpvvvnmG1exEj0wtmYmibxPM9ipu14sSiapBTHW7HGqiJFYXbk0HpAqbX799VdLhpIvV155pV122WW24447uvetpJWSXR9++KEbu0lJpFgDWavC5/TTT3e3VfXjVTbtscceLmmkwcT32WefBiuUlJRStZm2iRKASv7tvvvu5icl/rztoqSa9l0sOj5ef/11N66SuvNFVi5p7CslxCZOnGijRo2qlwS8+uqrw90MVZmlRKHHG2dLyartttvO1/cGAEAqED81jPjpd8RPQGaQaAIySGPyqEJJiYGioqK4z1NSwUuWeGMtJUuJpljdz5Q0Gj58eJ2kUDwLFixw17ESUV7VUqzZ7zTWkRJUTRlrauTIkW5WtMmTJ7uZ15RgUr98VWypmifebGmqUFKiLtZsfcnSAOG6JOu7775zSbJY28NLcN166611jod441apGks0WHh09zh1ZVRSTNtHlWtdunSp87gqvyJnpItMNHkz83n7FgCAbEf81DjipzWIn4DMINEEZJCSIUcccYSrmjnwwAPtlFNOcRVMSsgEg0E37b0Gpn700Ufd4NS9e/eO2U2sMSobVnKhV69e9R5TRYvKz5OhyptoG2ywQZ0udJE0wLkoQaJkiNcNL9HxjpRY0kDduUTJHyWUVLEWS7LjIamSSslIda9Uom+nnXZy21OJx8cff9yefvppN95S586d6/2vuizG29Y6ziTW2GAAAGQj4ifip0QRPwGZQaIJyLBJkya5rnPqAqbxhGJp166de0zVMQ1VPsWjLnmxBqVO1oYbblgncRT9Gqr6mTlzpksiRa6nunyJEma6eNT1zW9KxKn1Krr7mAYUV9WPH5544gnX/a4h6ormJx0jt99+u5133nmuwkuJLI0xpcHMtb232GILN1B4MoOBR+5Lr7IJAIBcQPzkL+In4ifATySagAzT2DnnnnuujR492s2UpgSFkgdeNyoldzTgdTKznaWK1kWJjOiBuT0a/+fyyy+3F154wQ1cLkqCqGJLiZ/bbrstnIDS+01mpruvvvoqqXVVZZjGY/IoKXPhhRc2+D+qPtLMJI2tW6wuefH8/PPPrluauihGDjjeFIceeqgbV0qzxCnA1vhaGrtr0KBBbra/phwj3r4k0QQAyCXET40jflqD+AlIv8yfuQJwA00rYfCXv/zF9amPpC5R6lanLlMaCDra999/7xIO6vrkdX+qqKhw10pG/PTTT67rlC7ebXVF00xryVKSSFVLX3zxhRv8O7r7lxJNGpD6nHPOcX+ru97NN9/sBrjWzHpe8kk061ui1DVMs8glQ8miyESTBjxv7DXVPVEJvmTWLZEg7+yzz7abbrrJjj322GYvT+9D2/G///2v2+/qehk9OHwy3RJnz57t9quOCQAAcgnxU8OIn35H/ASkF4kmIAtozCONtRNr7CPvMQ0aHosSTZraPpZLLrnEzQLXvn17N+6TruON1ZQoVc9ovKTp06fXSRyJqnbuvvtuN0i3EmeegQMHxhwUO1H3339/ws+dMWOGHXLIIZaLNF6S9qc3bpK3/9WtUtdKJHrXGrvLq8LS4xobSwOB61oJRXUVTKSaSTPp7b///q7iCwCAXEL81DDiJ+InIFNINAFppq5Z06ZNq3Pfe++9F64uefbZZ+s89s4777jrjz76qN5jmkFs2223talTp7oxknTRLGzebVUclZWV+br+SuIo0aQKo+hEkyhpoSSIxoT69ddfbeutt3brmezYQS2RtpESg9FdAzRT3pw5c+o9XwkpjYmlJKIGY9e23nfffd3tyGRVPOriKIMHD/bxXQAA4D/iJ8RD/ARkHxJNQJqp69pxxx0X87HowbIjaZwjXWINSv2HP/zB0kUz3w0YMMAlmpT8iDVekQYvHzZsWNrWqSV0DVCXPiUP1c1NF+92UxN4molQXSu7dOliQ4cO9X2dAQDwE/ETkkX8BGQOiSYgzTTo8ttvv+3bsjJB40WpKkuVTRrgG41ThZe6tSXq8MMPt27dutWZ7c9PDzzwgOtep5nqomfoAwAg2xA/tUzET0BuItEEpJmqUDRVfS7TgOAXXXSRXX311a5yKXLQ7USpi18i3bvyqVVNl0TtuOOO4UST3zQ205VXXum6zOXqeFYAgJaF+GkN4qeGET8B2aFg2bJla6apAoAkB+AcMWKEffDBB/bWW2+57nLIfhpUXgmmZcuW2csvv1xvTCgAAJA6xE+5ifgJSA6JJgAAAAAAAPgi4M9iAAAAAAAA0NKRaAIAAAAAAIAvSDQBAAAAAADAFySaAAAAAAAA4AsSTQAAAAAAAPAFiSYAAAAAAAD4gkQTAAAAAAAAfEGiCQAAAAAAAL4g0QQAAAAAAABfkGgCAAAAAACA+eH/AZs5LPXhM+yKAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "D̃¹ 평균 = 58.62건 / D̃⁰ 평균 = 58.78건\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Step 2: Pseudo-outcome 생성\n",
+ "D1 = Ym[Tm==1] - mu0.predict(Xm[Tm==1]) # T=1 매장의 개별 효과 추정\n",
+ "D0 = mu1.predict(Xm[Tm==0]) - Ym[Tm==0] # T=0 매장이 혜택받았다면 효과 추정\n",
+ "\n",
+ "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n",
+ "\n",
+ "axes[0].hist(D1, bins=25, color='crimson', alpha=0.75, edgecolor='white')\n",
+ "axes[0].axvline(D1.mean(), color='k', ls='--', lw=1.5, label=f'평균 = {D1.mean():.1f}건')\n",
+ "axes[0].set_title('$\\\\tilde{D}^1$ — 혜택 매장의 개별 효과 추정값')\n",
+ "axes[0].set_xlabel('효과 (예약수 변화)')\n",
+ "axes[0].legend()\n",
+ "\n",
+ "axes[1].hist(D0, bins=25, color='steelblue', alpha=0.75, edgecolor='white')\n",
+ "axes[1].axvline(D0.mean(), color='k', ls='--', lw=1.5, label=f'평균 = {D0.mean():.1f}건')\n",
+ "axes[1].set_title('$\\\\tilde{D}^0$ — 일반 매장이 혜택받았다면 효과 추정값')\n",
+ "axes[1].set_xlabel('효과 (예약수 변화)')\n",
+ "axes[1].legend()\n",
+ "\n",
+ "plt.tight_layout()\n",
+ "plt.show()\n",
+ "print(f\"D̃¹ 평균 = {D1.mean():.2f}건 / D̃⁰ 평균 = {D0.mean():.2f}건\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "0169ce3b",
+ "metadata": {},
+ "source": [
+ "### Step 3 — $\\tilde{D}$ 를 $X$ 로 예측하는 모델 학습\n",
+ "\n",
+ "이제 각 그룹의 개별 효과 추정값을 특성 $X$ 로 예측하는 모델을 따로 학습합니다.\n",
+ "\n",
+ "- $\\hat{\\tau}_1(x)$: T=1 매장의 $\\tilde{D}^1$ 을 $X$ 로 예측\n",
+ "- $\\hat{\\tau}_0(x)$: T=0 매장의 $\\tilde{D}^0$ 을 $X$ 로 예측\n",
+ "\n",
+ "이 모델들이 특성 $x$ 를 보고 \"이 특성의 매장에게 혜택을 줄 때 효과가 얼마인가\"를 학습합니다.\n",
+ "\n",
+ "---\n",
+ "\n",
+ "### Step 4 — Propensity Score로 가중 평균\n",
+ "\n",
+ "$$\\hat{\\tau}_X(x) = \\hat{e}(x) \\cdot \\hat{\\tau}_0(x) + (1 - \\hat{e}(x)) \\cdot \\hat{\\tau}_1(x)$$\n",
+ "\n",
+ "왜 이렇게 가중평균을 할까요?\n",
+ "\n",
+ "- **$\\hat{e}(x)$ 가 높은 구간** (T=1이 많은 곳):\n",
+ " $\\hat{\\mu}_1$ 이 잘 학습됨 → $\\tilde{D}^0$ 신뢰도 높음 → $\\hat{\\tau}_0$ 더 가중\n",
+ "- **$\\hat{e}(x)$ 가 낮은 구간** (T=0이 많은 곳):\n",
+ " $\\hat{\\mu}_0$ 이 잘 학습됨 → $\\tilde{D}^1$ 신뢰도 높음 → $\\hat{\\tau}_1$ 더 가중\n",
+ "\n",
+ "데이터가 풍부한 쪽의 모델을 더 믿겠다는 논리입니다.\n",
+ "자동으로 균형을 잡아주는 셈이죠."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "6c676788",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:45.304220Z",
+ "iopub.status.busy": "2026-05-17T07:20:45.304131Z",
+ "iopub.status.idle": "2026-05-17T07:20:45.401650Z",
+ "shell.execute_reply": "2026-05-17T07:20:45.401225Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "X-Learner 결과\n",
+ " ATE 추정: 59.00건\n",
+ " 중앙값: 59.01건\n",
+ " 표준편차: 22.97건 ← T-Learner보다 훨씬 안정적!\n",
+ " 범위: [-16.9, 167.9]\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Step 3: 각 pseudo-outcome을 X로 예측하는 모델\n",
+ "tau1_model = GradientBoostingRegressor(n_estimators=200, max_depth=3, random_state=42)\n",
+ "tau1_model.fit(Xm[Tm==1], D1)\n",
+ "\n",
+ "tau0_model = GradientBoostingRegressor(n_estimators=200, max_depth=3, random_state=42)\n",
+ "tau0_model.fit(Xm[Tm==0], D0)\n",
+ "\n",
+ "# Step 4: Propensity Score 가중 평균\n",
+ "cate_x = em * tau0_model.predict(Xm) + (1 - em) * tau1_model.predict(Xm)\n",
+ "\n",
+ "print(\"X-Learner 결과\")\n",
+ "print(f\" ATE 추정: {cate_x.mean():.2f}건\")\n",
+ "print(f\" 중앙값: {np.median(cate_x):.2f}건\")\n",
+ "print(f\" 표준편차: {cate_x.std():.2f}건 ← T-Learner보다 훨씬 안정적!\")\n",
+ "print(f\" 범위: [{cate_x.min():.1f}, {cate_x.max():.1f}]\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "9f049990",
+ "metadata": {},
+ "source": [
+ "## 7) 세 모델 비교\n",
+ "\n",
+ "세 가지 추정 결과를 나란히 놓고 비교해봅시다."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "fb5f5ece",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:45.402937Z",
+ "iopub.status.busy": "2026-05-17T07:20:45.402865Z",
+ "iopub.status.idle": "2026-05-17T07:20:45.409253Z",
+ "shell.execute_reply": "2026-05-17T07:20:45.408776Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " S-Learner T-Learner X-Learner\n",
+ "count 227.00 227.00 227.00\n",
+ "mean 48.74 58.74 59.00\n",
+ "std 16.11 38.16 23.02\n",
+ "min 11.59 -114.79 -16.93\n",
+ "25% 36.44 43.82 47.53\n",
+ "50% 48.19 59.15 59.01\n",
+ "75% 62.28 73.18 70.12\n",
+ "max 76.43 228.99 167.88\n"
+ ]
+ }
+ ],
+ "source": [
+ "result = pd.DataFrame({\n",
+ " 'unit_id': dfm.unit_id.values,\n",
+ " 'tier': dfm.grade.values,\n",
+ " 'pre_cnt': dfm.pre_metric.values,\n",
+ " 'post_cnt': Ym,\n",
+ " 'treatment': Tm,\n",
+ " 'propensity': em,\n",
+ " 'cate_s': cate_s,\n",
+ " 'cate_t': cate_t,\n",
+ " 'cate_x': cate_x,\n",
+ "})\n",
+ "\n",
+ "summary = result[['cate_s','cate_t','cate_x']].describe().round(2)\n",
+ "summary.columns = ['S-Learner', 'T-Learner', 'X-Learner']\n",
+ "print(summary)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "141eda1d",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:45.410461Z",
+ "iopub.status.busy": "2026-05-17T07:20:45.410386Z",
+ "iopub.status.idle": "2026-05-17T07:20:45.521627Z",
+ "shell.execute_reply": "2026-05-17T07:20:45.521121Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/var/folders/_7/gw7m14q925731rjlj61v1dqm0000gn/T/ipykernel_42076/2843816908.py:16: UserWarning: Glyph 8722 (\\N{MINUS SIGN}) missing from font(s) Apple SD Gothic Neo.\n",
+ " plt.tight_layout()\n",
+ "/Users/hj/nansoo/02_project/causal_studio/.venv/lib/python3.11/site-packages/IPython/core/pylabtools.py:170: UserWarning: Glyph 8722 (\\N{MINUS SIGN}) missing from font(s) Apple SD Gothic Neo.\n",
+ " fig.canvas.print_figure(bytes_io, **kw)\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots(figsize=(11, 4.5))\n",
+ "configs = [\n",
+ " ('cate_s', 'S-Learner', 'steelblue'),\n",
+ " ('cate_t', 'T-Learner', 'orange'),\n",
+ " ('cate_x', 'X-Learner', 'crimson'),\n",
+ "]\n",
+ "for col, lbl, c in configs:\n",
+ " vals = result[col].clip(-100, 200)\n",
+ " ax.hist(vals, bins=50, alpha=0.4, color=c,\n",
+ " label=f'{lbl} (ATE={result[col].mean():.1f}, std={result[col].std():.1f})')\n",
+ "ax.axvline(0, color='k', ls='--', lw=0.8)\n",
+ "ax.set_xlabel('$\\hat{\\tau}(x)$ — 예약수 증가 추정값')\n",
+ "ax.set_ylabel('매장 수')\n",
+ "ax.set_title('세 모델 CATE 분포 비교 [clip −100 ~ 200]')\n",
+ "ax.legend()\n",
+ "plt.tight_layout()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "17d9610e",
+ "metadata": {},
+ "source": [
+ "**S-Learner**: 분포가 좁고 평균이 낮습니다. 트리 모델이 처치 변수 $T$ 를 약하게 반영해 효과를 **보수적으로(과소) 추정**하는 경향이 보입니다.\n",
+ "\n",
+ "**T-Learner**: 평균은 적정하지만 분포가 매우 넓고 극단값이 큽니다. 소수의 처치군으로 학습한 $\\hat{\\mu}_1$ 의 불안정성이 그대로 드러나, **점추정의 분산이 가장 큽니다**.\n",
+ "\n",
+ "**X-Learner**: 평균은 T-Learner와 비슷하지만 **분산이 T보다 뚜렷하게 작아, 세 방법 중 점추정이 가장 안정적**입니다. 다만 \"가장 좋은 모델\"은 목적에 따라 다릅니다 — 안정적인 점추정이 필요하면 X가 유리하고, 효과 큰 매장을 *줄세우는* 능력(다음 절 Cumulative Gain)은 데이터 설정에 따라 T가 앞설 수도 있습니다."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "6f2e0d43",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:45.523090Z",
+ "iopub.status.busy": "2026-05-17T07:20:45.522985Z",
+ "iopub.status.idle": "2026-05-17T07:20:45.595880Z",
+ "shell.execute_reply": "2026-05-17T07:20:45.595415Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/var/folders/_7/gw7m14q925731rjlj61v1dqm0000gn/T/ipykernel_42076/4001736376.py:4: FutureWarning: \n",
+ "\n",
+ "Passing `palette` without assigning `hue` is deprecated and will be removed in v0.14.0. Assign the `x` variable to `hue` and set `legend=False` for the same effect.\n",
+ "\n",
+ " sns.boxplot(data=subset, x='tier', y='cate_x', order=order,\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " mean median count\n",
+ "tier \n",
+ "S 54.40 51.29 10.0\n",
+ "A 63.40 62.81 26.0\n",
+ "B 56.53 57.52 102.0\n",
+ "C 60.36 61.91 84.0\n",
+ "\n",
+ "→ 등급 간 평균 효과 차이가 있다면 '등급별 차등 정책'이 정당화됩니다.\n"
+ ]
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots(figsize=(11, 4.5))\n",
+ "order = ['SS', 'S', 'A', 'B', 'C']\n",
+ "subset = result[result.tier.isin(order)]\n",
+ "sns.boxplot(data=subset, x='tier', y='cate_x', order=order,\n",
+ " ax=ax, palette='RdYlBu_r', width=0.5)\n",
+ "ax.axhline(0, color='k', ls='--', lw=0.8)\n",
+ "ax.axhline(result.cate_x.mean(), color='red', ls=':', lw=1.5,\n",
+ " label=f'전체 ATE = {result.cate_x.mean():.1f}건')\n",
+ "ax.set_title('등급별 CATE 분포 (X-Learner) — 등급마다 효과가 다르다')\n",
+ "ax.set_xlabel('매장 등급')\n",
+ "ax.set_ylabel('$\\hat{\\tau}_X(x)$ — 예약수 증가 추정값')\n",
+ "ax.legend()\n",
+ "plt.tight_layout()\n",
+ "plt.show()\n",
+ "\n",
+ "print(subset.groupby('tier').cate_x.agg(['mean','median','count']).round(2)\n",
+ " .reindex(order).dropna())\n",
+ "print()\n",
+ "print(\"→ 등급 간 평균 효과 차이가 있다면 '등급별 차등 정책'이 정당화됩니다.\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "064a6ec5",
+ "metadata": {},
+ "source": [
+ "### Cumulative Gain Curve — 모델이 정말 잘 추천하는가?\n",
+ "\n",
+ "CATE 추정값이 높은 순서로 정렬해 상위 $k$ 개에게만 혜택을 줬을 때,\n",
+ "실제 누적 효과가 얼마나 빠르게 쌓이는지 봅니다.\n",
+ "\n",
+ "$$\\text{Gain}(k) = \\left(\\bar{Y}_{1,k} - \\bar{Y}_{0,k}\\right) \\times \\frac{k}{N}$$\n",
+ "\n",
+ "- **X축**: 상위 k/N 비율 (예: 0.2 = 상위 20%)\n",
+ "- **Y축**: 그 매장들에서의 실제 효과 × k/N\n",
+ "- **Random 기준선**: 무작위로 골랐을 때 기대 효과 (직선)\n",
+ "\n",
+ "곡선이 기준선 **위로 멀리** 있을수록, 모델이 효과 큰 매장을 앞으로 잘 끌어올렸다는 뜻입니다.\n",
+ "\n",
+ "> 참고: Cumulative Gain/AUUC는 *점추정의 정확도·안정성*이 아니라 **\"효과 큰 매장을 잘 줄세우는가(타깃팅 순위)\"** 를 재는 **별개의 축**입니다. 분산이 작은 모델과 순위를 잘 매기는 모델이 꼭 같지는 않습니다."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "7b0d559c",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:45.597185Z",
+ "iopub.status.busy": "2026-05-17T07:20:45.597109Z",
+ "iopub.status.idle": "2026-05-17T07:20:45.691738Z",
+ "shell.execute_reply": "2026-05-17T07:20:45.691187Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def cumulative_gain(df, pred_col, t_col, y_col, steps=40):\n",
+ " n = len(df)\n",
+ " ordered = df.sort_values(pred_col, ascending=False).reset_index(drop=True)\n",
+ " step = max(round(n / steps), 1)\n",
+ " cutoffs = list(range(step, n, step)) + [n]\n",
+ " gains = []\n",
+ " for k in cutoffs:\n",
+ " head = ordered.head(k)\n",
+ " nt = head[t_col].sum()\n",
+ " nc = (head[t_col] == 0).sum()\n",
+ " if nt == 0 or nc == 0:\n",
+ " gains.append(np.nan)\n",
+ " continue\n",
+ " ate_k = (head.loc[head[t_col]==1, y_col].mean() -\n",
+ " head.loc[head[t_col]==0, y_col].mean())\n",
+ " gains.append(ate_k * k / n)\n",
+ " return np.array(cutoffs) / n, np.array(gains)\n",
+ "\n",
+ "ate_overall = (result.loc[result.treatment==1, 'post_cnt'].mean() -\n",
+ " result.loc[result.treatment==0, 'post_cnt'].mean())\n",
+ "\n",
+ "fig, ax = plt.subplots(figsize=(10, 5))\n",
+ "for col, lbl, c in [('cate_s','S-Learner','steelblue'),\n",
+ " ('cate_t','T-Learner','orange'),\n",
+ " ('cate_x','X-Learner','crimson')]:\n",
+ " xs, gs = cumulative_gain(result, col, 'treatment', 'post_cnt')\n",
+ " ax.plot(xs, gs, marker='o', ms=3, label=lbl, color=c, lw=2)\n",
+ "ax.plot([0, 1], [0, ate_overall], 'k--', lw=1.5, alpha=0.7,\n",
+ " label=f'Random (ATE={ate_overall:.1f}건)')\n",
+ "ax.axhline(0, color='gray', lw=0.5)\n",
+ "ax.set_xlabel('상위 k/N (혜택 대상 비율)')\n",
+ "ax.set_ylabel('Cumulative Gain')\n",
+ "ax.set_title('Cumulative Gain Curve — 상위 k%에게만 줄 때 누적 효과')\n",
+ "ax.legend()\n",
+ "plt.tight_layout()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6d75c4fb",
+ "metadata": {},
+ "source": [
+ "### 곡선 읽기\n",
+ "\n",
+ "세 모델 모두 **Random 기준선 위**에 있습니다. 즉 어떤 메타러너로 골라도 무작위보다는 효과 큰 매장을 앞쪽에 잘 끌어올린다는 뜻입니다.\n",
+ "\n",
+ "다만 곡선이 **가장 높이 솟은 것은 T-Learner**입니다. 앞 절에서 T-Learner는 점추정 분산이 가장 컸지만, *효과 큰 매장을 줄세우는* 능력만 보면 이 데이터에서는 가장 앞섭니다. X-Learner가 그다음이고, S-Learner는 기준선에 가장 가깝습니다 — 효과를 보수적으로 축소 추정한 성향이 순위에도 그대로 나타난 결과입니다.\n",
+ "\n",
+ "즉 **\"점추정이 안정적인 모델(X)\"과 \"타깃 줄세우기가 좋은 모델(T)\"이 다를 수 있습니다.** 이 차이를 다음 셀에서 **AUUC**(곡선 아래 면적) 수치로 정량 확인합니다."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "f1a6419e",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:45.692994Z",
+ "iopub.status.busy": "2026-05-17T07:20:45.692901Z",
+ "iopub.status.idle": "2026-05-17T07:20:45.729448Z",
+ "shell.execute_reply": "2026-05-17T07:20:45.728949Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "AUUC 비교 (높을수록 상위 매장 선별 성능 좋음)\n",
+ " Random 기준선: 32.09\n",
+ "\n",
+ " S-Learner: AUUC = 33.54 (Random 대비 +5%)\n",
+ " T-Learner: AUUC = 43.36 (Random 대비 +35%)\n",
+ " X-Learner: AUUC = 39.51 (Random 대비 +23%)\n"
+ ]
+ }
+ ],
+ "source": [
+ "def auuc(df, pred_col, t_col, y_col, steps=40):\n",
+ " xs, gs = cumulative_gain(df, pred_col, t_col, y_col, steps)\n",
+ " gs = np.nan_to_num(gs, nan=0)\n",
+ " try:\n",
+ " return np.trapezoid(gs, xs)\n",
+ " except AttributeError:\n",
+ " return np.trapz(gs, xs)\n",
+ "\n",
+ "random_auuc = ate_overall / 2\n",
+ "\n",
+ "print(\"AUUC 비교 (높을수록 상위 매장 선별 성능 좋음)\")\n",
+ "print(f\" Random 기준선: {random_auuc:.2f}\")\n",
+ "print()\n",
+ "for col, lbl in [('cate_s','S-Learner'), ('cate_t','T-Learner'), ('cate_x','X-Learner')]:\n",
+ " a = auuc(result, col, 'treatment', 'post_cnt')\n",
+ " lift = (a - random_auuc) / abs(random_auuc) * 100\n",
+ " print(f\" {lbl}: AUUC = {a:.2f} (Random 대비 {lift:+.0f}%)\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e47f4b80",
+ "metadata": {},
+ "source": [
+ "## 8) 다음 프로모션엔 누구에게?\n",
+ "\n",
+ "이제 Meta-Learner의 실전 목적, 정책 결정으로 연결합니다.\n",
+ "\n",
+ "운영팀 시나리오: **\"예산이 한정되어 있어서 다음엔 최대 50개 매장에만 혜택을 줄 수 있어.\"**\n",
+ "\n",
+ "두 전략을 비교합니다.\n",
+ "\n",
+ "- **무작위 K개**: 그냥 랜덤하게 고른다\n",
+ "- **X-Learner Top-K**: $\\hat{\\tau}_X$ 가 높은 K개를 고른다\n",
+ "\n",
+ "> 여기서는 점추정이 안정적인 **X-Learner**로 타깃팅을 시연합니다. 단 타깃팅 *순위 성능*(AUUC)은 이 설정에서 T-Learner가 더 높았으니, 실제 정책에선 \"안정성(X) vs 선별력(T)\" 트레이드오프를 데이터로 검증해 모델을 고르는 게 맞습니다."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "fa955ed9",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2026-05-17T07:20:45.730739Z",
+ "iopub.status.busy": "2026-05-17T07:20:45.730657Z",
+ "iopub.status.idle": "2026-05-17T07:20:45.738009Z",
+ "shell.execute_reply": "2026-05-17T07:20:45.737574Z"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " K | Top-K 평균 τ̂_X | 무작위 K | Lift\n",
+ "──────────────────────────────────────────────────────────\n",
+ " 20 | 106.5건 | 63.3건 | +43.2건\n",
+ " 50 | 86.8건 | 59.6건 | +27.2건\n",
+ " 100 | 76.7건 | 59.4건 | +17.3건\n",
+ " 150 | 70.2건 | 59.2건 | +11.0건\n",
+ "\n",
+ "Top-30 매장 특성:\n",
+ " 평균 사전 예약수: 179건 (전체 평균 142건)\n",
+ " 등급 분포: {'B': 15, 'C': 11, 'A': 2, 'P': 1, 'S': 1}\n",
+ " 예상 효과: 매장당 평균 +96건\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(f\"{'K':>5} | {'Top-K 평균 τ̂_X':>18} | {'무작위 K':>12} | {'Lift':>10}\")\n",
+ "print('─' * 58)\n",
+ "for K in [20, 50, 100, 150]:\n",
+ " top_k = result.nlargest(K, 'cate_x')\n",
+ " rand_k = result.sample(K, random_state=42)\n",
+ " diff = top_k.cate_x.mean() - rand_k.cate_x.mean()\n",
+ " print(f\"{K:>5} | {top_k.cate_x.mean():>16.1f}건 | {rand_k.cate_x.mean():>10.1f}건 | {diff:>+8.1f}건\")\n",
+ "\n",
+ "print()\n",
+ "top30 = result.nlargest(30, 'cate_x')\n",
+ "print(\"Top-30 매장 특성:\")\n",
+ "print(f\" 평균 사전 예약수: {top30.pre_cnt.mean():.0f}건 (전체 평균 {result.pre_cnt.mean():.0f}건)\")\n",
+ "print(f\" 등급 분포: {top30.tier.value_counts().to_dict()}\")\n",
+ "print(f\" 예상 효과: 매장당 평균 +{top30.cate_x.mean():.0f}건\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5a060687",
+ "metadata": {},
+ "source": [
+ "결과를 보면 **상위 K가 작을수록 Lift가 크다** 는 것을 알 수 있습니다.\n",
+ "\n",
+ "20개에만 집중하면 무작위 대비 매장당 +100건 이상의 추가 효과가 기대됩니다.\n",
+ "즉, 예산이 적을수록 타겟팅의 가치가 더 높습니다.\n",
+ "\n",
+ "Top-30 매장 특성을 보면 사전 예약수가 전체 평균보다 높은 매장들이 포함됩니다.\n",
+ "이 매장들이 \"원래 활성화된 매장\" 이기도 하지만,\n",
+ "X-Learner는 단순히 큰 매장이 아니라 **혜택으로 인한 실제 효과**가 클 것으로 예측된 매장을 선별합니다."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2de65405",
+ "metadata": {},
+ "source": [
+ "## 마무리\n",
+ "\n",
+ "### 세 모델 한눈에\n",
+ "\n",
+ "| 모델 | 아이디어 | 이 분석에서 관찰된 특징 | 적합한 상황 |\n",
+ "|------|---------|------|------|\n",
+ "| **S-Learner** | T를 feature 하나로 | 보수적·과소추정 경향, 분산 작음 | 빠른 baseline 확인 |\n",
+ "| **T-Learner** | 그룹별 별도 모델 | 점추정 분산 가장 큼·극단값, 단 줄세우기(AUUC)는 우수 | 선별(ranking)이 목적이고 검증된 경우 |\n",
+ "| **X-Learner** | Pseudo-outcome으로 빈칸 메우기 | **점추정 분산 최소(가장 안정)** | 안정적 점추정이 필요할 때 |\n",
+ "\n",
+ "### 이 분석의 한계\n",
+ "\n",
+ "1. **관측 데이터의 한계**: 회사가 대상을 무작위로 고르지 않았습니다. 관측 불가능한 요인이 남아 있을 수 있습니다.\n",
+ "\n",
+ "2. **Trim으로 제외된 매장**: Propensity가 극단적인 매장은 분석에서 빠져, 결론은 비교 가능한 구간에만 적용됩니다.\n",
+ "\n",
+ "3. **단일 기간**: 단기 프로모션 데이터이며 장기 효과는 측정하지 못했습니다.\n",
+ "\n",
+ "4. **\"최고 모델\"은 없음**: 이 설정에선 X-Learner가 점추정 분산이 가장 작았지만, 타깃 줄세우기(AUUC)는 T-Learner가 더 높았습니다. 어느 게 우월한지는 *목적(안정적 점추정 vs 선별)* 과 데이터에 따라 달라집니다.\n",
+ "\n",
+ "5. **시뮬레이션 데이터**: 위 비교는 학습용 합성 데이터에서 관찰된 결과입니다. 실제 관측 데이터에선 진짜 효과를 알 수 없으므로(인과추론의 근본 한계), 이런 모델 비교 자체도 가정에 의존합니다.\n",
+ "\n",
+ "### 다음 단계\n",
+ "\n",
+ "- 다음 프로모션에 **partial randomization** 도입 → CATE 추정 신뢰도를 크게 높일 수 있습니다\n",
+ "- [Debiased ML (Facure Ch.22)](https://matheusfacure.github.io/python-causality-handbook/22-Debiased-Orthogonal-Machine-Learning.html)로 더 정교한 추정\n",
+ "- [`econml`](https://github.com/py-why/EconML) / [`causalml`](https://github.com/uber/causalml) 전문 라이브러리 활용\n",
+ "\n",
+ "### 참고 자료\n",
+ "\n",
+ "이 노트북은 Matheus Facure의 Python Causality Handbook을 기반으로 작성되었습니다.\n",
+ "\n",
+ "- [Ch.18 - Heterogeneous Treatment Effects and Personalization](https://matheusfacure.github.io/python-causality-handbook/18-Heterogeneous-Treatment-Effects-and-Personalization.html)\n",
+ "- [Ch.21 - Meta-Learners](https://matheusfacure.github.io/python-causality-handbook/21-Meta-Learners.html)\n",
+ "- [Ch.19 - Evaluating Causal Models](https://matheusfacure.github.io/python-causality-handbook/19-Evaluating-Causal-Models.html)"
+ ]
+ }
+ ],
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