diff --git a/doc/diagrama_proyecto_1.md b/doc/diagrama_proyecto_1.md
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+# Diagrama del pipeline — Proyecto 1 (Riesgo Crediticio)
+
+Este diagrama resume el flujo completo implementado en el notebook central `notebook/proyecto_1.ipynb`.
+
+```mermaid
+flowchart TD
+ A[Inicio] --> B[Cargar_datos]
+ B --> C[EDA]
+ C --> C1[Valores_faltantes_e_imputacion]
+ C --> C2[Outliers_y_tratamiento]
+ C --> C3[Correlacion_y_seleccion_features]
+
+ C1 --> D[Definir_X_y]
+ C2 --> D
+ C3 --> D
+
+ D --> E[Split_train_val]
+ D --> F[CV_GridSearch]
+
+ F --> F1[Grid_kNN_Pipeline]
+ F --> F2[Grid_LogReg_Pipeline]
+ F1 --> G[Comparar_modelos_por_ROC_AUC_CV]
+ F2 --> G
+
+ G --> H[Modelo_final]
+ H --> I[Evaluacion_en_validacion]
+ I --> I1[ClassificationReport_y_ConfusionMatrix]
+ I --> I2[Curva_ROC_y_AUC]
+
+ I --> J[Analisis_de_umbral]
+ J --> J1[Definir_costos_FN_FP]
+ J --> J2[Barrido_de_umbrales]
+ J2 --> J3[Elegir_umbral_optimo]
+
+ H --> K[Entrenar_con_todo_el_train]
+ K --> L[Predecir_probabilidades_en_test]
+ L --> M[Crear_submission_Id_Probability]
+ M --> N[Fin]
+```
+
diff --git a/final/proyecto_ML_FINAL.ipynb b/final/proyecto_ML_FINAL.ipynb
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+++ b/final/proyecto_ML_FINAL.ipynb
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "
\n",
+ "\n",
+ "# Proyecto 1 \n",
+ "## Clasificación de Riesgo Crediticio \n",
+ "\n",
+ "**Machine Learning** \n",
+ "Universidad del Rosario\n",
+ "\n",
+ "Vanessa Ochoa, Nilson Amaya, Juan Zamora\n",
+ "\n",
+ "
"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "---"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Tabla de contenido\n",
+ "\n",
+ "- [1. Introducción](#1-introducción)\n",
+ "- [2. Importación del dataset](#2-importación-del-dataset)\n",
+ "- [3. Análisis Exploratorio de Datos (EDA)](#3-eda)\n",
+ "- [4. Implementación de Modelos](#4-modelos)\n",
+ "- [5. Optimización de Hiperparámetros y Validación](#5-optimización)\n",
+ "- [6. Métricas de Evaluación y Decisión](#6-métricas)\n",
+ "- [7. Predicción en el conjunto de test](#7-test)\n",
+ "- [8. Conclusiones](#8-conclusiones)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 1. Introducción\n",
+ "\n",
+ "El riesgo crediticio es uno de los principales problemas que enfrentan las instituciones financieras, ya que implica la posibilidad de que una persona no cumpla con sus obligaciones de pago. Poder anticipar este tipo de situaciones es clave para reducir pérdidas y mejorar la toma de decisiones.\n",
+ "\n",
+ "En este proyecto se utiliza el dataset **\"Give Me Some Credit\"** con el objetivo de predecir si una persona tendrá dificultades financieras en los próximos dos años. Este problema se aborda como una tarea de **clasificación binaria**, donde el modelo debe identificar si un cliente presenta riesgo de incumplimiento o no.\n",
+ "\n",
+ "Para resolver este problema se desarrolla un flujo completo de **Machine Learning**, que incluye:\n",
+ "\n",
+ "- Análisis exploratorio de datos (EDA), tratamiento de valores faltantes y outliers.\n",
+ "- Implementación y comparación de modelos de clasificación: **k-NN** y **Regresión Logística**.\n",
+ "- Evaluación del impacto del tipo de escalamiento (**Normalización** vs. **Estandarización**) sobre el desempeño.\n",
+ "- Optimización de hiperparámetros mediante **Grid Search** y **validación cruzada estratificada**.\n",
+ "- Evaluación final con **métricas de clasificación** adecuadas para datos desbalanceados.\n",
+ "\n",
+ "Finalmente, se comparan los modelos para identificar cuál ofrece el mejor desempeño en la predicción del riesgo crediticio."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 2. Importación del dataset"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Antes de cargar el dataset, se importan las librerías necesarias para el desarrollo del proyecto."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "########################################################\n",
+ "## LIBRERÍAS ##\n",
+ "########################################################\n",
+ "\n",
+ "# Manipulación de datos\n",
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "\n",
+ "# Visualización\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns\n",
+ "%matplotlib inline\n",
+ "\n",
+ "# Modelado y evaluación\n",
+ "from sklearn.model_selection import train_test_split, GridSearchCV, StratifiedKFold\n",
+ "from sklearn.pipeline import Pipeline\n",
+ "from sklearn.preprocessing import StandardScaler, MinMaxScaler\n",
+ "from sklearn.neighbors import KNeighborsClassifier\n",
+ "from sklearn.linear_model import LogisticRegression\n",
+ "from sklearn.metrics import classification_report, confusion_matrix"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "A continuación cargamos los archivos `cs-training.csv` y `cs-test.csv` directamente desde Google Colab. La primera columna de ambos archivos es un índice sin nombre que se descarta al momento de la carga."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "RangeIndex: 150000 entries, 0 to 149999\n",
+ "Data columns (total 11 columns):\n",
+ " # Column Non-Null Count Dtype \n",
+ "--- ------ -------------- ----- \n",
+ " 0 SeriousDlqin2yrs 150000 non-null int64 \n",
+ " 1 RevolvingUtilizationOfUnsecuredLines 150000 non-null float64\n",
+ " 2 age 150000 non-null int64 \n",
+ " 3 NumberOfTime30-59DaysPastDueNotWorse 150000 non-null int64 \n",
+ " 4 DebtRatio 150000 non-null float64\n",
+ " 5 MonthlyIncome 120269 non-null float64\n",
+ " 6 NumberOfOpenCreditLinesAndLoans 150000 non-null int64 \n",
+ " 7 NumberOfTimes90DaysLate 150000 non-null int64 \n",
+ " 8 NumberRealEstateLoansOrLines 150000 non-null int64 \n",
+ " 9 NumberOfTime60-89DaysPastDueNotWorse 150000 non-null int64 \n",
+ " 10 NumberOfDependents 146076 non-null float64\n",
+ "dtypes: float64(4), int64(7)\n",
+ "memory usage: 12.6 MB\n"
+ ]
+ }
+ ],
+ "source": [
+ "train = pd.read_csv(\"../input/cs-training.csv\")\n",
+ "test = pd.read_csv(\"../input/cs-test.csv\")\n",
+ "train = train.drop(columns=['Unnamed: 0'])\n",
+ "test = test.drop(columns=['Unnamed: 0'])\n",
+ "\n",
+ "# ver primeras filas\n",
+ "train.info()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Revisamos un resumen estadístico de las variables para tener una primera idea de sus rangos, valores extremos y posibles inconsistencias."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
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+ " age \n",
+ " NumberOfTime30-59DaysPastDueNotWorse \n",
+ " DebtRatio \n",
+ " MonthlyIncome \n",
+ " NumberOfOpenCreditLinesAndLoans \n",
+ " NumberOfTimes90DaysLate \n",
+ " NumberRealEstateLoansOrLines \n",
+ " NumberOfTime60-89DaysPastDueNotWorse \n",
+ " NumberOfDependents \n",
+ " \n",
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+ " SeriousDlqin2yrs RevolvingUtilizationOfUnsecuredLines age \\\n",
+ "count 150000.000000 150000.000000 150000.000000 \n",
+ "mean 0.066840 6.048438 52.295207 \n",
+ "std 0.249746 249.755371 14.771866 \n",
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+ "50% 0.000000 0.154181 52.000000 \n",
+ "75% 0.000000 0.559046 63.000000 \n",
+ "max 1.000000 50708.000000 109.000000 \n",
+ "\n",
+ " NumberOfTime30-59DaysPastDueNotWorse DebtRatio MonthlyIncome \\\n",
+ "count 150000.000000 150000.000000 1.202690e+05 \n",
+ "mean 0.421033 353.005076 6.670221e+03 \n",
+ "std 4.192781 2037.818523 1.438467e+04 \n",
+ "min 0.000000 0.000000 0.000000e+00 \n",
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+ "75% 0.000000 0.868254 8.249000e+03 \n",
+ "max 98.000000 329664.000000 3.008750e+06 \n",
+ "\n",
+ " NumberOfOpenCreditLinesAndLoans NumberOfTimes90DaysLate \\\n",
+ "count 150000.000000 150000.000000 \n",
+ "mean 8.452760 0.265973 \n",
+ "std 5.145951 4.169304 \n",
+ "min 0.000000 0.000000 \n",
+ "25% 5.000000 0.000000 \n",
+ "50% 8.000000 0.000000 \n",
+ "75% 11.000000 0.000000 \n",
+ "max 58.000000 98.000000 \n",
+ "\n",
+ " NumberRealEstateLoansOrLines NumberOfTime60-89DaysPastDueNotWorse \\\n",
+ "count 150000.000000 150000.000000 \n",
+ "mean 1.018240 0.240387 \n",
+ "std 1.129771 4.155179 \n",
+ "min 0.000000 0.000000 \n",
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+ "50% 1.000000 0.000000 \n",
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+ "\n",
+ " NumberOfDependents \n",
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+ "max 20.000000 "
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "train.describe()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 2.1 Descripción de las variables\n",
+ "\n",
+ "- **SeriousDlqin2yrs:** Variable objetivo. Indica si la persona tuvo dificultades financieras graves (atraso ≥ 90 días) en los siguientes dos años. Toma valor 1 (sí incumplió) o 0 (no incumplió).\n",
+ "\n",
+ "- **RevolvingUtilizationOfUnsecuredLines:** Proporción del saldo utilizado en tarjetas de crédito y líneas personales respecto al límite total disponible. En condiciones normales se expresa entre 0 y 1.\n",
+ "\n",
+ "- **age:** Edad del titular del crédito en años.\n",
+ "\n",
+ "- **NumberOfTime30-59DaysPastDueNotWorse:** Número de veces que el prestatario tuvo atrasos entre 30 y 59 días en los últimos dos años.\n",
+ "\n",
+ "- **DebtRatio:** Relación entre las obligaciones financieras mensuales y el ingreso bruto mensual.\n",
+ "\n",
+ "- **MonthlyIncome:** Ingreso mensual reportado por el prestatario.\n",
+ "\n",
+ "- **NumberOfOpenCreditLinesAndLoans:** Número total de préstamos y líneas de crédito abiertas.\n",
+ "\n",
+ "- **NumberOfTimes90DaysLate:** Número de veces que el prestatario tuvo atrasos de 90 días o más.\n",
+ "\n",
+ "- **NumberRealEstateLoansOrLines:** Número de préstamos hipotecarios o líneas de crédito sobre vivienda.\n",
+ "\n",
+ "- **NumberOfTime60-89DaysPastDueNotWorse:** Número de veces que el prestatario tuvo atrasos entre 60 y 89 días en los últimos dos años.\n",
+ "\n",
+ "- **NumberOfDependents:** Número de personas que dependen económicamente del prestatario."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 3. Análisis Exploratorio de Datos (EDA)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 3.1 Identificación y tratamiento de datos faltantes e imputación lógica\n",
+ "\n",
+ "Antes de entrenar cualquier modelo es necesario identificar si existen variables con datos ausentes, ya que la mayoría de los algoritmos de Machine Learning no pueden trabajar con valores faltantes directamente.\n",
+ "\n",
+ "A continuación identificamos el porcentaje de datos faltantes por variable:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " Valores faltantes Porcentaje (%)\n",
+ "MonthlyIncome 29731 19.82\n",
+ "NumberOfDependents 3924 2.62\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## IDENTIFICACIÓN DE VALORES FALTANTES ##\n",
+ "########################################################\n",
+ "\n",
+ "faltantes = train.isnull().sum()\n",
+ "porcentaje = (faltantes / len(train)) * 100\n",
+ "\n",
+ "tabla_faltantes = pd.DataFrame({\n",
+ " 'Valores faltantes': faltantes,\n",
+ " 'Porcentaje (%)': porcentaje.round(2)\n",
+ "})\n",
+ "\n",
+ "print(tabla_faltantes[tabla_faltantes['Valores faltantes'] > 0])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Se identificaron dos variables con datos ausentes:\n",
+ "\n",
+ "- **MonthlyIncome:** presenta 19.82% de valores faltantes. Al analizar estos registros, se observa que las personas con ingreso desconocido tienen una tasa de incumplimiento ligeramente mayor que aquellas con ingreso conocido. Esto sugiere que la ausencia de información no es completamente aleatoria y, por tanto, el hecho de no reportar ingreso también aporta señal predictiva. Por esta razón, antes de realizar la imputación se crea la variable indicadora flag_ingreso_nulo, la cual toma valor 1 cuando el ingreso era originalmente desconocido y 0 en caso contrario.\n",
+ "\n",
+ "- **NumberOfDependents:** presenta 2.62% de valores faltantes. Dado que el porcentaje es bajo y no se identificó un patrón diferencial claro frente al incumplimiento, esta variable se imputa directamente con la mediana.\n",
+ "\n",
+ "En ambos casos se utiliza la mediana como valor de imputación, y no la media, porque las variables financieras suelen presentar outliers extremos. La media tiende a desplazarse hacia esos valores atípicos, mientras que la mediana, al representar el valor central de la distribución, es mucho más robusta y refleja mejor el comportamiento del cliente típico.\n",
+ "\n",
+ "*Regla de oro: los parámetros de imputación, como la mediana, deben calcularse únicamente sobre el conjunto de entrenamiento (train) y luego aplicarse al conjunto de prueba (test) usando exactamente esos mismos valores. Esto evita fuga de información (data leakage) y garantiza una evaluación correcta del modelo.*"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Faltantes en train después de imputación: 0\n",
+ "Faltantes en test después de imputación: 101503\n",
+ "\n",
+ "Mediana MonthlyIncome usada: 5400.00\n",
+ "Mediana NumberOfDependents usada: 0.00\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## IMPUTACIÓN CON MEDIANA ##\n",
+ "########################################################\n",
+ "\n",
+ "# Crear variable indicadora ANTES de imputar MonthlyIncome\n",
+ "# Registra si el ingreso era desconocido originalmente\n",
+ "train['flag_ingreso_nulo'] = train['MonthlyIncome'].isnull().astype(int)\n",
+ "test['flag_ingreso_nulo'] = test['MonthlyIncome'].isnull().astype(int)\n",
+ "\n",
+ "# Calcular medianas sobre el conjunto de entrenamiento\n",
+ "median_monthly_income = train['MonthlyIncome'].median()\n",
+ "median_dependents = train['NumberOfDependents'].median()\n",
+ "\n",
+ "# Imputar en train\n",
+ "train['MonthlyIncome'] = train['MonthlyIncome'].fillna(median_monthly_income)\n",
+ "train['NumberOfDependents'] = train['NumberOfDependents'].fillna(median_dependents)\n",
+ "\n",
+ "# Imputar en test con los mismos valores calculados en train\n",
+ "test['MonthlyIncome'] = test['MonthlyIncome'].fillna(median_monthly_income)\n",
+ "test['NumberOfDependents'] = test['NumberOfDependents'].fillna(median_dependents)\n",
+ "\n",
+ "# Verificar\n",
+ "print(\"Faltantes en train después de imputación:\", train.isnull().sum().sum())\n",
+ "print(\"Faltantes en test después de imputación: \", test.isnull().sum().sum())\n",
+ "print(f\"\\nMediana MonthlyIncome usada: {median_monthly_income:.2f}\")\n",
+ "print(f\"Mediana NumberOfDependents usada: {median_dependents:.2f}\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 3.2 Análisis de distribuciones y detección de outliers\n",
+ "\n",
+ "Analizamos la forma de las distribuciones con boxplots para identificar valores extremos. A continuación se visualizan las 10 variables numéricas del dataset:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## BOXPLOTS — DETECCIÓN DE OUTLIERS ##\n",
+ "########################################################\n",
+ "\n",
+ "fig, axes = plt.subplots(3, 3, figsize=(15, 12))\n",
+ "axes = axes.flatten()\n",
+ "\n",
+ "columnas = [\n",
+ " 'RevolvingUtilizationOfUnsecuredLines', 'age',\n",
+ " 'NumberOfTime30-59DaysPastDueNotWorse', 'DebtRatio',\n",
+ " 'MonthlyIncome', 'NumberOfOpenCreditLinesAndLoans',\n",
+ " 'NumberOfTimes90DaysLate', 'NumberOfDependents',\n",
+ " 'NumberOfTime60-89DaysPastDueNotWorse'\n",
+ "]\n",
+ "\n",
+ "for i, col in enumerate(columnas):\n",
+ " axes[i].boxplot(train[col], patch_artist=True,\n",
+ " boxprops=dict(facecolor='lightblue', color='navy'),\n",
+ " medianprops=dict(color='red'))\n",
+ " axes[i].set_title(col, fontsize=9, fontweight='bold')\n",
+ " axes[i].set_ylabel('Valor')\n",
+ " axes[i].grid(alpha=0.3)\n",
+ "\n",
+ "fig.suptitle('Detección de Outliers por Variable', fontsize=16, fontweight='bold')\n",
+ "plt.tight_layout()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Los boxplots revelan la presencia de valores extremos en varias variables. El tratamiento de cada una se define considerando su **significado financiero**, no simplemente su magnitud:\n",
+ "\n",
+ "| Variable | Problema | Decisión | ¿Por qué? |\n",
+ "|---|---|---|---|\n",
+ "| `RevolvingUtilization` | Máximo = 50,708 (debería ser 0–1) | `clip(0, 5)` | Los valores entre 1 y 5 son clientes que **superaron su límite** — tienen 37% de default vs 6% del resto. Recortarlos a 1 destruiría esa señal. |\n",
+ "| `DebtRatio` | Máximo = 329,664 | `clip(0, P99)` | El valor extremo viene de dividir deuda entre ingreso = 0 (división por cero). No es deuda real. Se capa en percentil 99 para conservar la variabilidad válida. |\n",
+ "| `age` | Mínimo = 0, algunos valores 96–98 | `clip(18, 95)` | Edades imposibles o errores de registro. |\n",
+ "| `MonthlyIncome` | Máximo = 3,008,750 | `clip(0, P99)` | Ingresos extremadamente altos que distorsionan el escalamiento. |\n",
+ "| Variables de atrasos (30-59, 60-89, 90+ días) | 264 registros con valor = 98 | Crear `flag_atrasos_98`, luego `clip(0, 13)` | El valor 98 es un **código especial**, no 98 atrasos reales. Esos 264 registros tienen **54% de tasa de default** — son los clientes más riesgosos del dataset. Reemplazarlos con 0 sería el error más grave posible. |\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Tratamiento de outliers aplicado\n",
+ " Registros con flag_atrasos_98 en train: 264\n",
+ " Registros con flag_ingreso_nulo en train: 29731\n",
+ " Cap RevolvingUtilization: 5\n",
+ " Cap DebtRatio (P99): 4979.04\n",
+ " Cap MonthlyIncome (P99): 23000.00\n",
+ "\n",
+ "Estadísticas después del tratamiento:\n"
+ ]
+ },
+ {
+ "data": {
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+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " SeriousDlqin2yrs \n",
+ " RevolvingUtilizationOfUnsecuredLines \n",
+ " age \n",
+ " NumberOfTime30-59DaysPastDueNotWorse \n",
+ " DebtRatio \n",
+ " MonthlyIncome \n",
+ " NumberOfOpenCreditLinesAndLoans \n",
+ " NumberOfTimes90DaysLate \n",
+ " NumberRealEstateLoansOrLines \n",
+ " NumberOfTime60-89DaysPastDueNotWorse \n",
+ " NumberOfDependents \n",
+ " flag_ingreso_nulo \n",
+ " flag_atrasos_98 \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " count \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
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+ " 150000.00 \n",
+ " 150000.00 \n",
+ " 150000.0 \n",
+ " 150000.00 \n",
+ " \n",
+ " \n",
+ " mean \n",
+ " 0.07 \n",
+ " 0.33 \n",
+ " 52.29 \n",
+ " 0.27 \n",
+ " 316.55 \n",
+ " 6142.45 \n",
+ " 8.45 \n",
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+ " 1.02 \n",
+ " 0.09 \n",
+ " 0.74 \n",
+ " 0.2 \n",
+ " 0.00 \n",
+ " \n",
+ " \n",
+ " std \n",
+ " 0.25 \n",
+ " 0.41 \n",
+ " 14.77 \n",
+ " 0.88 \n",
+ " 906.96 \n",
+ " 3835.68 \n",
+ " 5.15 \n",
+ " 0.73 \n",
+ " 1.13 \n",
+ " 0.64 \n",
+ " 1.11 \n",
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+ " \n",
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+ " 0.0 \n",
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+ " \n",
+ " \n",
+ " 50% \n",
+ " 0.00 \n",
+ " 0.15 \n",
+ " 52.00 \n",
+ " 0.00 \n",
+ " 0.37 \n",
+ " 5400.00 \n",
+ " 8.00 \n",
+ " 0.00 \n",
+ " 1.00 \n",
+ " 0.00 \n",
+ " 0.00 \n",
+ " 0.0 \n",
+ " 0.00 \n",
+ " \n",
+ " \n",
+ " 75% \n",
+ " 0.00 \n",
+ " 0.56 \n",
+ " 63.00 \n",
+ " 0.00 \n",
+ " 0.87 \n",
+ " 7400.00 \n",
+ " 11.00 \n",
+ " 0.00 \n",
+ " 2.00 \n",
+ " 0.00 \n",
+ " 1.00 \n",
+ " 0.0 \n",
+ " 0.00 \n",
+ " \n",
+ " \n",
+ " max \n",
+ " 1.00 \n",
+ " 5.00 \n",
+ " 95.00 \n",
+ " 13.00 \n",
+ " 4979.04 \n",
+ " 23000.00 \n",
+ " 58.00 \n",
+ " 13.00 \n",
+ " 54.00 \n",
+ " 13.00 \n",
+ " 20.00 \n",
+ " 1.0 \n",
+ " 1.00 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " SeriousDlqin2yrs RevolvingUtilizationOfUnsecuredLines age \\\n",
+ "count 150000.00 150000.00 150000.00 \n",
+ "mean 0.07 0.33 52.29 \n",
+ "std 0.25 0.41 14.77 \n",
+ "min 0.00 0.00 18.00 \n",
+ "25% 0.00 0.03 41.00 \n",
+ "50% 0.00 0.15 52.00 \n",
+ "75% 0.00 0.56 63.00 \n",
+ "max 1.00 5.00 95.00 \n",
+ "\n",
+ " NumberOfTime30-59DaysPastDueNotWorse DebtRatio MonthlyIncome \\\n",
+ "count 150000.00 150000.00 150000.00 \n",
+ "mean 0.27 316.55 6142.45 \n",
+ "std 0.88 906.96 3835.68 \n",
+ "min 0.00 0.00 0.00 \n",
+ "25% 0.00 0.18 3903.00 \n",
+ "50% 0.00 0.37 5400.00 \n",
+ "75% 0.00 0.87 7400.00 \n",
+ "max 13.00 4979.04 23000.00 \n",
+ "\n",
+ " NumberOfOpenCreditLinesAndLoans NumberOfTimes90DaysLate \\\n",
+ "count 150000.00 150000.00 \n",
+ "mean 8.45 0.11 \n",
+ "std 5.15 0.73 \n",
+ "min 0.00 0.00 \n",
+ "25% 5.00 0.00 \n",
+ "50% 8.00 0.00 \n",
+ "75% 11.00 0.00 \n",
+ "max 58.00 13.00 \n",
+ "\n",
+ " NumberRealEstateLoansOrLines NumberOfTime60-89DaysPastDueNotWorse \\\n",
+ "count 150000.00 150000.00 \n",
+ "mean 1.02 0.09 \n",
+ "std 1.13 0.64 \n",
+ "min 0.00 0.00 \n",
+ "25% 0.00 0.00 \n",
+ "50% 1.00 0.00 \n",
+ "75% 2.00 0.00 \n",
+ "max 54.00 13.00 \n",
+ "\n",
+ " NumberOfDependents flag_ingreso_nulo flag_atrasos_98 \n",
+ "count 150000.00 150000.0 150000.00 \n",
+ "mean 0.74 0.2 0.00 \n",
+ "std 1.11 0.4 0.04 \n",
+ "min 0.00 0.0 0.00 \n",
+ "25% 0.00 0.0 0.00 \n",
+ "50% 0.00 0.0 0.00 \n",
+ "75% 1.00 0.0 0.00 \n",
+ "max 20.00 1.0 1.00 "
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## TRATAMIENTO DE OUTLIERS ##\n",
+ "########################################################\n",
+ "\n",
+ "# -- Variables de atrasos: tratamiento del código especial 98 --\n",
+ "# Los 264 registros con valor 98 en las 3 variables simultáneamente\n",
+ "# tienen una tasa de incumplimiento del 54%. Se preserva esa señal\n",
+ "# con una variable indicadora antes de hacer cualquier recorte.\n",
+ "\n",
+ "cols_atrasos = [\n",
+ " 'NumberOfTime30-59DaysPastDueNotWorse',\n",
+ " 'NumberOfTime60-89DaysPastDueNotWorse',\n",
+ " 'NumberOfTimes90DaysLate'\n",
+ "]\n",
+ "\n",
+ "mascara_98 = (\n",
+ " (train['NumberOfTime30-59DaysPastDueNotWorse'] == 98) &\n",
+ " (train['NumberOfTime60-89DaysPastDueNotWorse'] == 98) &\n",
+ " (train['NumberOfTimes90DaysLate'] == 98)\n",
+ ")\n",
+ "train['flag_atrasos_98'] = mascara_98.astype(int)\n",
+ "\n",
+ "mascara_98_test = (\n",
+ " (test['NumberOfTime30-59DaysPastDueNotWorse'] == 98) &\n",
+ " (test['NumberOfTime60-89DaysPastDueNotWorse'] == 98) &\n",
+ " (test['NumberOfTimes90DaysLate'] == 98)\n",
+ ")\n",
+ "test['flag_atrasos_98'] = mascara_98_test.astype(int)\n",
+ "\n",
+ "# Capar variables de atrasos al máximo real observado\n",
+ "for col in cols_atrasos:\n",
+ " train[col] = train[col].clip(0, 13)\n",
+ " test[col] = test[col].clip(0, 13)\n",
+ "\n",
+ "# -- RevolvingUtilizationOfUnsecuredLines --\n",
+ "# Se capa en 5 para conservar la señal de quienes superaron su límite\n",
+ "train['RevolvingUtilizationOfUnsecuredLines'] = train['RevolvingUtilizationOfUnsecuredLines'].clip(0, 5)\n",
+ "test['RevolvingUtilizationOfUnsecuredLines'] = test['RevolvingUtilizationOfUnsecuredLines'].clip(0, 5)\n",
+ "\n",
+ "# -- DebtRatio --\n",
+ "cap_debtratio = train['DebtRatio'].quantile(0.99)\n",
+ "train['DebtRatio'] = train['DebtRatio'].clip(0, cap_debtratio)\n",
+ "test['DebtRatio'] = test['DebtRatio'].clip(0, cap_debtratio)\n",
+ "\n",
+ "# -- age --\n",
+ "train['age'] = train['age'].clip(18, 95)\n",
+ "test['age'] = test['age'].clip(18, 95)\n",
+ "\n",
+ "# -- MonthlyIncome --\n",
+ "cap_income = train['MonthlyIncome'].quantile(0.99)\n",
+ "train['MonthlyIncome'] = train['MonthlyIncome'].clip(0, cap_income)\n",
+ "test['MonthlyIncome'] = test['MonthlyIncome'].clip(0, cap_income)\n",
+ "\n",
+ "print(\"Tratamiento de outliers aplicado\")\n",
+ "print(f\" Registros con flag_atrasos_98 en train: {train['flag_atrasos_98'].sum()}\")\n",
+ "print(f\" Registros con flag_ingreso_nulo en train: {train['flag_ingreso_nulo'].sum()}\")\n",
+ "print(f\" Cap RevolvingUtilization: 5\")\n",
+ "print(f\" Cap DebtRatio (P99): {cap_debtratio:.2f}\")\n",
+ "print(f\" Cap MonthlyIncome (P99): {cap_income:.2f}\")\n",
+ "print(\"\\nEstadísticas después del tratamiento:\")\n",
+ "train.describe().round(2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 3.3 Análisis de correlación y selección de características justificadas\n",
+ "\n",
+ "Calculamos la correlación de Pearson entre todas las variables numéricas para entender qué tan relacionadas están entre sí y con la variable objetivo (**SeriousDlqin2yrs**)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Correlación con SeriousDlqin2yrs:\n",
+ "SeriousDlqin2yrs 1.000\n",
+ "NumberOfTimes90DaysLate 0.269\n",
+ "NumberOfTime30-59DaysPastDueNotWorse 0.265\n",
+ "RevolvingUtilizationOfUnsecuredLines 0.251\n",
+ "NumberOfTime60-89DaysPastDueNotWorse 0.207\n",
+ "flag_atrasos_98 0.080\n",
+ "NumberOfDependents 0.047\n",
+ "NumberRealEstateLoansOrLines -0.007\n",
+ "DebtRatio -0.017\n",
+ "flag_ingreso_nulo -0.021\n",
+ "NumberOfOpenCreditLinesAndLoans -0.030\n",
+ "MonthlyIncome -0.050\n",
+ "age -0.115\n",
+ "Name: SeriousDlqin2yrs, dtype: float64\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## MAPA DE CORRELACIONES ##\n",
+ "########################################################\n",
+ "\n",
+ "plt.figure(figsize=(13, 9))\n",
+ "correlaciones = train.corr()\n",
+ "\n",
+ "sns.heatmap(correlaciones,\n",
+ " annot=True,\n",
+ " fmt='.2f',\n",
+ " cmap='coolwarm',\n",
+ " center=0,\n",
+ " square=True)\n",
+ "\n",
+ "plt.title('Mapa de Correlaciones', fontsize=14)\n",
+ "plt.tight_layout()\n",
+ "plt.show()\n",
+ "\n",
+ "# Correlaciones con la variable objetivo ordenadas\n",
+ "print(\"\\nCorrelación con SeriousDlqin2yrs:\")\n",
+ "print(correlaciones['SeriousDlqin2yrs'].sort_values(ascending=False).round(3))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Del análisis de correlaciones se pueden extraer las siguientes conclusiones:\n",
+ "\n",
+ "- Las **variables de atrasos** (30-59, 60-89, 90+ días) son las más correlacionadas con el incumplimiento. Sin embargo, también tienen una correlación alta entre sí (entre 0.58 y 0.75), lo que indica **multicolinealidad**. Para evitar redundancia, se excluye `NumberOfTime60-89DaysPastDueNotWorse` del modelo, conservando las otras dos.\n",
+ "\n",
+ "- **RevolvingUtilizationOfUnsecuredLines** tiene la correlación individual más alta con el target, lo que confirma que el nivel de uso del crédito es un predictor muy relevante.\n",
+ "\n",
+ "- **age** tiene correlación negativa: a mayor edad, menor riesgo de incumplimiento.\n",
+ "\n",
+ "- **DebtRatio**, **NumberOfOpenCreditLinesAndLoans** y **NumberRealEstateLoansOrLines** presentan correlaciones bajas con el target, pero se conservan ya que aportan contexto financiero.\n",
+ "\n",
+ "- Las variables indicadoras creadas en el preprocesamiento (`flag_ingreso_nulo`, `flag_atrasos_98`) se incluyen porque capturan información que de otro modo se perdería."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Variables seleccionadas para modelado:\n",
+ " - RevolvingUtilizationOfUnsecuredLines\n",
+ " - age\n",
+ " - NumberOfTime30-59DaysPastDueNotWorse\n",
+ " - NumberOfTimes90DaysLate\n",
+ " - DebtRatio\n",
+ " - MonthlyIncome\n",
+ " - NumberOfOpenCreditLinesAndLoans\n",
+ " - NumberRealEstateLoansOrLines\n",
+ " - NumberOfDependents\n",
+ " - flag_ingreso_nulo\n",
+ " - flag_atrasos_98\n",
+ "\n",
+ "Dimensiones de X: (150000, 11)\n",
+ "Dimensiones de y: (150000,)\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## SELECCIÓN DE VARIABLES ##\n",
+ "########################################################\n",
+ "\n",
+ "variables = [\n",
+ " 'RevolvingUtilizationOfUnsecuredLines', # uso del crédito — más predictiva\n",
+ " 'age', # edad — correlación negativa\n",
+ " 'NumberOfTime30-59DaysPastDueNotWorse', # historial de atrasos leves\n",
+ " 'NumberOfTimes90DaysLate', # historial de atrasos graves\n",
+ " 'DebtRatio', # nivel de endeudamiento\n",
+ " 'MonthlyIncome', # capacidad de pago\n",
+ " 'NumberOfOpenCreditLinesAndLoans', # exposición crediticia\n",
+ " 'NumberRealEstateLoansOrLines', # compromiso hipotecario\n",
+ " 'NumberOfDependents', # carga familiar\n",
+ " 'flag_ingreso_nulo', # señal: ingreso era desconocido\n",
+ " 'flag_atrasos_98' # señal: código especial de riesgo alto\n",
+ "]\n",
+ "\n",
+ "X = train[variables]\n",
+ "y = train['SeriousDlqin2yrs']\n",
+ "\n",
+ "print('Variables seleccionadas para modelado:')\n",
+ "for v in variables:\n",
+ " print(f' - {v}')\n",
+ "print(f'\\nDimensiones de X: {X.shape}')\n",
+ "print(f'Dimensiones de y: {y.shape}')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "b5bf6ed6",
+ "metadata": {},
+ "source": [
+ "Se excluyó la variable NumberOfTime60-89DaysPastDueNotWorse debido a su alta correlación con las otras dos variables relacionadas con atrasos en pagos (NumberOfTime30-59DaysPastDueNotWorse y NumberOfTimes90DaysLate), con coeficientes de correlación entre 0.58 y 0.75. Dado que estas variables capturan comportamientos muy similares, mantenerlas simultáneamente no aporta información adicional relevante y puede introducir problemas de multicolinealidad, afectando la estabilidad e interpretabilidad de modelos lineales como la Regresión Logística.\n",
+ "\n",
+ "Adicionalmente, durante la etapa de preprocesamiento se incorporaron dos variables indicadoras que preservan información relevante identificada en el análisis exploratorio:\n",
+ "\n",
+ "flag_ingreso_nulo: indica si el ingreso mensual (MonthlyIncome) estaba originalmente ausente, capturando la señal asociada a registros con ingreso desconocido.\n",
+ "\n",
+ "flag_atrasos_98: identifica los registros que presentaban el código especial 98 en las variables de atraso, el cual corresponde a un grupo con mayor riesgo de incumplimiento dentro del conjunto de datos."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 4. Implementación de Modelos"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 4.1 Preparación de datos para modelado\n",
+ "\n",
+ "Separamos las variables predictoras (`X`) de la variable objetivo (`y`) y dividimos el conjunto de entrenamiento en dos partes:\n",
+ "\n",
+ "- **X_train / y_train (80%):** datos con los que el modelo aprende.\n",
+ "- **X_val / y_val (20%):** datos que reservamos para evaluar qué tan bien generaliza el modelo antes de tocarlo con el conjunto de test.\n",
+ "\n",
+ "Se usa `stratify=y` para garantizar que la proporción de defaults (6.7%) se mantenga igual en ambas partes del split, lo cual es fundamental cuando las clases están tan desbalanceadas."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Dimensiones del split:\n",
+ " X_train: (120000, 11) | y_train: (120000,)\n",
+ " X_val: (30000, 11) | y_val: (30000,)\n",
+ " X_test: (101503, 11)\n",
+ "\n",
+ "Proporción de defaults en y_train: 6.68%\n",
+ "Proporción de defaults en y_val: 6.68%\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## SPLIT TRAIN / VALIDACIÓN ##\n",
+ "########################################################\n",
+ "\n",
+ "# Variables predictoras y objetivo\n",
+ "X = train[variables].copy()\n",
+ "y = train['SeriousDlqin2yrs'].copy()\n",
+ "\n",
+ "# Conjunto de test (ya fue imputado y tratado en la Sección 3)\n",
+ "X_test = test[variables].copy()\n",
+ "\n",
+ "# División interna: 80% entrenamiento, 20% validación\n",
+ "# stratify=y asegura la misma proporción de defaults en ambas partes\n",
+ "X_train, X_val, y_train, y_val = train_test_split(\n",
+ " X, y,\n",
+ " test_size=0.2,\n",
+ " random_state=123,\n",
+ " stratify=y\n",
+ ")\n",
+ "\n",
+ "print('Dimensiones del split:')\n",
+ "print(f' X_train: {X_train.shape} | y_train: {y_train.shape}')\n",
+ "print(f' X_val: {X_val.shape} | y_val: {y_val.shape}')\n",
+ "print(f' X_test: {X_test.shape}')\n",
+ "print(f'\\nProporción de defaults en y_train: {y_train.mean()*100:.2f}%')\n",
+ "print(f'Proporción de defaults en y_val: {y_val.mean()*100:.2f}%')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 4.2 k-Vecinos más cercanos (k-NN)\n",
+ "\n",
+ "El algoritmo k-NN clasifica cada observación según las clases de sus `k` vecinos más cercanos. Como se basa en **distancias**, el escalamiento de las variables es fundamental: una variable con valores grandes dominaría el cálculo de distancia sobre las demás.\n",
+ "\n",
+ "En esta sección evaluamos el impacto de dos tipos de escalamiento, tal como se vio en clase:\n",
+ "\n",
+ "- **MinMaxScaler (Normalización):** transforma cada variable al rango [0, 1].\n",
+ "- **StandardScaler (Estandarización):** transforma cada variable para que tenga media 0 y desviación estándar 1.\n",
+ "\n",
+ "En ambos casos el escalador se **ajusta solo con X_train** y se aplica a X_val, para no filtrar información del conjunto de validación al modelo."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "===== k-NN con Normalización (MinMaxScaler) =====\n",
+ " precision recall f1-score support\n",
+ "\n",
+ " 0 0.94 0.99 0.96 27995\n",
+ " 1 0.47 0.17 0.25 2005\n",
+ "\n",
+ " accuracy 0.93 30000\n",
+ " macro avg 0.71 0.58 0.61 30000\n",
+ "weighted avg 0.91 0.93 0.92 30000\n",
+ "\n",
+ "Matriz de confusión:\n",
+ "[[27601 394]\n",
+ " [ 1655 350]]\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## k-NN CON NORMALIZACIÓN (MinMaxScaler) ##\n",
+ "########################################################\n",
+ "\n",
+ "resultados_modelos = []\n",
+ "\n",
+ "# Escalar\n",
+ "scaler_minmax = MinMaxScaler()\n",
+ "X_train_minmax = scaler_minmax.fit_transform(X_train)\n",
+ "X_val_minmax = scaler_minmax.transform(X_val)\n",
+ "\n",
+ "# Entrenar modelo base con k=5\n",
+ "knn_minmax = KNeighborsClassifier(n_neighbors=5)\n",
+ "knn_minmax.fit(X_train_minmax, y_train)\n",
+ "\n",
+ "# Predicciones\n",
+ "pred_knn_minmax = knn_minmax.predict(X_val_minmax)\n",
+ "\n",
+ "# Resultados\n",
+ "print(\"===== k-NN con Normalización (MinMaxScaler) =====\")\n",
+ "print(classification_report(y_val, pred_knn_minmax))\n",
+ "print(\"Matriz de confusión:\")\n",
+ "print(confusion_matrix(y_val, pred_knn_minmax))\n",
+ "\n",
+ "# Guardar F1 de clase 1 (default) para comparar modelos\n",
+ "from sklearn.metrics import f1_score\n",
+ "f1_knn_minmax = f1_score(y_val, pred_knn_minmax)\n",
+ "resultados_modelos.append({\n",
+ " \"Modelo\": \"k-NN (MinMaxScaler)\",\n",
+ " \"F1 (default)\": round(f1_knn_minmax, 4)\n",
+ "})"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "===== k-NN con Estandarización (StandardScaler) =====\n",
+ " precision recall f1-score support\n",
+ "\n",
+ " 0 0.94 0.98 0.96 27995\n",
+ " 1 0.45 0.18 0.26 2005\n",
+ "\n",
+ " accuracy 0.93 30000\n",
+ " macro avg 0.70 0.58 0.61 30000\n",
+ "weighted avg 0.91 0.93 0.92 30000\n",
+ "\n",
+ "Matriz de confusión:\n",
+ "[[27554 441]\n",
+ " [ 1644 361]]\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## k-NN CON ESTANDARIZACIÓN (StandardScaler) ##\n",
+ "########################################################\n",
+ "\n",
+ "# Escalar\n",
+ "scaler_std = StandardScaler()\n",
+ "X_train_std = scaler_std.fit_transform(X_train)\n",
+ "X_val_std = scaler_std.transform(X_val)\n",
+ "\n",
+ "# Entrenar modelo base con k=5\n",
+ "knn_std = KNeighborsClassifier(n_neighbors=5)\n",
+ "knn_std.fit(X_train_std, y_train)\n",
+ "\n",
+ "# Predicciones\n",
+ "pred_knn_std = knn_std.predict(X_val_std)\n",
+ "\n",
+ "# Resultados\n",
+ "print(\"===== k-NN con Estandarización (StandardScaler) =====\")\n",
+ "print(classification_report(y_val, pred_knn_std))\n",
+ "print(\"Matriz de confusión:\")\n",
+ "print(confusion_matrix(y_val, pred_knn_std))\n",
+ "\n",
+ "# Guardar F1 de clase 1 para comparar\n",
+ "f1_knn_std = f1_score(y_val, pred_knn_std)\n",
+ "resultados_modelos.append({\n",
+ " \"Modelo\": \"k-NN (StandardScaler)\",\n",
+ " \"F1 (default)\": round(f1_knn_std, 4)\n",
+ "})"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 4.3 Regresión Logística\n",
+ "\n",
+ "La Regresión Logística estima la **probabilidad** de que una observación pertenezca a la clase 1 (default). A diferencia de k-NN, genera un modelo explícito con coeficientes que permiten interpretar el peso de cada variable.\n",
+ "\n",
+ "También evaluamos los dos tipos de escalamiento para comparar su efecto, reutilizando los mismos `X_train_std`, `X_val_std`, `X_train_minmax` y `X_val_minmax` calculados en la sección anterior."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "===== Regresión Logística con Estandarización =====\n",
+ " precision recall f1-score support\n",
+ "\n",
+ " 0 0.94 0.99 0.97 27995\n",
+ " 1 0.56 0.14 0.23 2005\n",
+ "\n",
+ " accuracy 0.94 30000\n",
+ " macro avg 0.75 0.57 0.60 30000\n",
+ "weighted avg 0.92 0.94 0.92 30000\n",
+ "\n",
+ "Matriz de confusión:\n",
+ "[[27776 219]\n",
+ " [ 1721 284]]\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## REGRESIÓN LOGÍSTICA CON ESTANDARIZACIÓN ##\n",
+ "########################################################\n",
+ "\n",
+ "log_std = LogisticRegression(max_iter=50000, random_state=123)\n",
+ "log_std.fit(X_train_std, y_train)\n",
+ "\n",
+ "pred_log_std = log_std.predict(X_val_std)\n",
+ "\n",
+ "print(\"===== Regresión Logística con Estandarización =====\")\n",
+ "print(classification_report(y_val, pred_log_std))\n",
+ "print(\"Matriz de confusión:\")\n",
+ "print(confusion_matrix(y_val, pred_log_std))\n",
+ "\n",
+ "f1_log_std = f1_score(y_val, pred_log_std)\n",
+ "resultados_modelos.append({\n",
+ " \"Modelo\": \"Regresión Logística (StandardScaler)\",\n",
+ " \"F1 (default)\": round(f1_log_std, 4)\n",
+ "})"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "===== Regresión Logística con Normalización =====\n",
+ " precision recall f1-score support\n",
+ "\n",
+ " 0 0.94 0.99 0.97 27995\n",
+ " 1 0.56 0.13 0.21 2005\n",
+ "\n",
+ " accuracy 0.93 30000\n",
+ " macro avg 0.75 0.56 0.59 30000\n",
+ "weighted avg 0.92 0.93 0.92 30000\n",
+ "\n",
+ "Matriz de confusión:\n",
+ "[[27793 202]\n",
+ " [ 1750 255]]\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## REGRESIÓN LOGÍSTICA CON NORMALIZACIÓN ##\n",
+ "########################################################\n",
+ "\n",
+ "log_minmax = LogisticRegression(max_iter=50000, random_state=123)\n",
+ "log_minmax.fit(X_train_minmax, y_train)\n",
+ "\n",
+ "pred_log_minmax = log_minmax.predict(X_val_minmax)\n",
+ "\n",
+ "print(\"===== Regresión Logística con Normalización =====\")\n",
+ "print(classification_report(y_val, pred_log_minmax))\n",
+ "print(\"Matriz de confusión:\")\n",
+ "print(confusion_matrix(y_val, pred_log_minmax))\n",
+ "\n",
+ "f1_log_minmax = f1_score(y_val, pred_log_minmax)\n",
+ "resultados_modelos.append({\n",
+ " \"Modelo\": \"Regresión Logística (MinMaxScaler)\",\n",
+ " \"F1 (default)\": round(f1_log_minmax, 4)\n",
+ "})"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 4.4 Comparación inicial de modelos\n",
+ "\n",
+ "Comparamos los cuatro modelos entrenados usando el **F1-Score de la clase 1 (default)** como métrica principal. Esta métrica es la más adecuada aquí porque combina precisión y recall, y no se ve distorsionada por el desbalanceo de clases como sí ocurre con el accuracy.\n",
+ "\n",
+ "Esta comparación es solo un punto de partida — en la siguiente sección optimizaremos los hiperparámetros con Grid Search para mejorar estos resultados."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Comparación inicial de modelos (conjunto de validación):\n",
+ " Modelo F1 (default)\n",
+ " k-NN (StandardScaler) 0.2572\n",
+ " k-NN (MinMaxScaler) 0.2546\n",
+ "Regresión Logística (StandardScaler) 0.2265\n",
+ " Regresión Logística (MinMaxScaler) 0.2071\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## TABLA COMPARATIVA — MODELOS BASE ##\n",
+ "########################################################\n",
+ "\n",
+ "tabla_resultados = pd.DataFrame(resultados_modelos)\n",
+ "tabla_resultados = tabla_resultados.sort_values('F1 (default)', ascending=False)\n",
+ "tabla_resultados = tabla_resultados.reset_index(drop=True)\n",
+ "\n",
+ "print('Comparación inicial de modelos (conjunto de validación):')\n",
+ "print(tabla_resultados.to_string(index=False))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "48a20040",
+ "metadata": {},
+ "source": [
+ "De acuerdo con la comparación inicial de los modelos utilizando el F1-score, el modelo que presenta el mejor desempeño es **k-Nearest Neighbors (k-NN) con StandardScaler**, alcanzando un F1-score de 0.2572. Este resultado sugiere que el modelo logra un mejor equilibrio entre precisión y recall en la identificación de clientes en incumplimiento. Este comportamiento puede explicarse porque k-NN es un método no paramétrico que captura relaciones locales y potencialmente no lineales entre las variables, lo cual puede resultar ventajoso en problemas de riesgo crediticio donde los patrones de incumplimiento suelen depender de combinaciones específicas de características financieras de los clientes."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 5. Optimización de Hiperparámetros y Validación\n",
+ "\n",
+ "En la sección anterior entrenamos modelos base con hiperparámetros fijos (`k=5`, `C=1`). En esta sección buscamos la **mejor combinación de hiperparámetros** para cada modelo usando dos herramientas vistas en clase:\n",
+ "\n",
+ "- **StratifiedKFold (Validación Cruzada Estratificada):** divide los datos en 5 pliegues asegurando que cada uno mantenga la misma proporción de defaults. Así el resultado no depende de un único split sino del promedio de 5 evaluaciones diferentes.\n",
+ "\n",
+ "- **GridSearchCV (Búsqueda en Grilla):** prueba todas las combinaciones posibles de hiperparámetros dentro de la grilla definida y se queda con la que produce el mejor resultado.\n",
+ "\n",
+ "Usamos `scoring=\"f1\"` como métrica de optimización porque, dado el fuerte desbalanceo de clases, el F1-Score de la clase 1 (default) es el indicador más honesto del desempeño real del modelo."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 5.1 Grid Search para k-NN\n",
+ "\n",
+ "Usamos un `Pipeline` que combina el escalador y el modelo en un solo objeto. Esto permite incluir el **tipo de escalamiento** (MinMax vs Standard) como un hiperparámetro más dentro de la grilla, y garantiza que el escalador se ajuste solo con los datos de entrenamiento en cada pliegue de la validación cruzada.\n",
+ "\n",
+ "La grilla explora las siguientes combinaciones:\n",
+ "\n",
+ "- **Escalador:** StandardScaler o MinMaxScaler\n",
+ "- **Número de vecinos k:** 5, 10, 15, 20\n",
+ "- **Pesos:** uniform (todos los vecinos pesan igual) o distance (vecinos más cercanos pesan más)\n",
+ "- **Métrica de distancia:** euclidiana o manhattan"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Fitting 5 folds for each of 32 candidates, totalling 160 fits\n",
+ "Mejores hiperparámetros k-NN:\n",
+ "{'knn__metric': 'euclidean', 'knn__n_neighbors': 5, 'knn__weights': 'distance', 'scaler': StandardScaler()}\n",
+ "\n",
+ "Mejor F1 medio (CV): 0.2708\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## GRID SEARCH — k-NN ##\n",
+ "########################################################\n",
+ "\n",
+ "# Estrategia de validación cruzada estratificada (5 pliegues)\n",
+ "cv = StratifiedKFold(n_splits=5, shuffle=True, random_state=123)\n",
+ "\n",
+ "# Pipeline: escalador + modelo en un solo objeto\n",
+ "pipe_knn = Pipeline([\n",
+ " (\"scaler\", StandardScaler()),\n",
+ " (\"knn\", KNeighborsClassifier())\n",
+ "])\n",
+ "\n",
+ "# Grilla de hiperparámetros a explorar\n",
+ "param_grid_knn = {\n",
+ " \"scaler\": [StandardScaler(), MinMaxScaler()],\n",
+ " \"knn__n_neighbors\": [5, 10, 15, 20],\n",
+ " \"knn__weights\": [\"uniform\", \"distance\"],\n",
+ " \"knn__metric\": [\"euclidean\", \"manhattan\"]\n",
+ "}\n",
+ "\n",
+ "# Búsqueda en grilla con validación cruzada estratificada\n",
+ "grid_knn = GridSearchCV(\n",
+ " estimator=pipe_knn,\n",
+ " param_grid=param_grid_knn,\n",
+ " scoring=\"f1\", # optimizamos F1 de clase 1 (default)\n",
+ " cv=cv,\n",
+ " n_jobs=-1,\n",
+ " verbose=1\n",
+ ")\n",
+ "\n",
+ "grid_knn.fit(X_train, y_train)\n",
+ "\n",
+ "print(\"Mejores hiperparámetros k-NN:\")\n",
+ "print(grid_knn.best_params_)\n",
+ "print(f\"\\nMejor F1 medio (CV): {grid_knn.best_score_:.4f}\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Revisamos las 10 mejores combinaciones de hiperparámetros encontradas para entender qué configuraciones funcionan mejor:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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+ "6 {'knn__metric': 'euclidean', 'knn__n_neighbors... 0.251935 \n",
+ "7 {'knn__metric': 'manhattan', 'knn__n_neighbors... 0.248885 \n",
+ "8 {'knn__metric': 'manhattan', 'knn__n_neighbors... 0.247017 \n",
+ "9 {'knn__metric': 'euclidean', 'knn__n_neighbors... 0.246639 \n",
+ "\n",
+ " Desviación \n",
+ "0 0.008473 \n",
+ "1 0.005603 \n",
+ "2 0.008922 \n",
+ "3 0.008468 \n",
+ "4 0.008177 \n",
+ "5 0.013568 \n",
+ "6 0.013128 \n",
+ "7 0.009441 \n",
+ "8 0.008211 \n",
+ "9 0.007040 "
+ ]
+ },
+ "execution_count": 21,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## TOP 10 — RESULTADOS GRID SEARCH k-NN ##\n",
+ "########################################################\n",
+ "\n",
+ "resultados_knn_cv = (\n",
+ " pd.DataFrame(grid_knn.cv_results_)\n",
+ " .sort_values(\"mean_test_score\", ascending=False)\n",
+ " [[\"params\", \"mean_test_score\", \"std_test_score\"]]\n",
+ " .rename(columns={\n",
+ " \"mean_test_score\": \"F1 medio (CV)\",\n",
+ " \"std_test_score\": \"Desviación\"\n",
+ " })\n",
+ " .head(10)\n",
+ " .reset_index(drop=True)\n",
+ ")\n",
+ "resultados_knn_cv"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5ce20189",
+ "metadata": {},
+ "source": [
+ "Los resultados del Grid Search con validación cruzada de 5 folds muestran que la mejor configuración del modelo k-NN utiliza distancia euclidiana, 5 vecinos y ponderación por distancia, junto con StandardScaler para el escalamiento de las variables. Esta combinación alcanza un F1-score medio de 0.2708, mejorando el desempeño del modelo base. Además, la baja desviación observada entre los folds indica que el modelo presenta un comportamiento estable y consistente durante la validación cruzada."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 5.2 Grid Search para Regresión Logística\n",
+ "\n",
+ "Para la Regresión Logística optimizamos los siguientes hiperparámetros:\n",
+ "\n",
+ "- **C (regularización):** controla qué tan flexible es el modelo. Un C pequeño (0.01, 0.1) impone más restricciones y produce un modelo más simple. Un C grande (10, 100) da más libertad al modelo pero puede sobreajustarse.\n",
+ "\n",
+ "- **class_weight:** permite indicarle al modelo que penalice más los errores en la clase minoritaria (default). Con `\"balanced\"` el modelo ajusta automáticamente los pesos según la proporción de cada clase — útil con datos desbalanceados."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "966a9204",
+ "metadata": {},
+ "source": [
+ "Cabe destacar que, se utilizó únicamente StandardScaler para el escalamiento de las variables. Esto se debe a que, en la comparación inicial de los modelos base, la versión del modelo que empleaba StandardScaler presentó un desempeño ligeramente superior frente a otras configuraciones. Además, a diferencia de k-NN, la Regresión Logística no depende directamente de distancias entre observaciones, por lo que no es tan sensible al tipo específico de normalización. Por esta razón, se optó por mantener StandardScaler como único método de escalamiento durante el proceso de Grid Search, concentrando la optimización en los hiperparámetros propios del modelo, como C (regularización) y class_weight."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Fitting 5 folds for each of 8 candidates, totalling 40 fits\n",
+ "Mejores hiperparámetros Regresión Logística:\n",
+ "{'logreg__C': 10.0, 'logreg__class_weight': 'balanced'}\n",
+ "\n",
+ "Mejor F1 medio (CV): 0.3298\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## GRID SEARCH — REGRESIÓN LOGÍSTICA ##\n",
+ "########################################################\n",
+ "\n",
+ "# Pipeline: escalador + modelo\n",
+ "pipe_log = Pipeline([\n",
+ " (\"scaler\", StandardScaler()),\n",
+ " (\"logreg\", LogisticRegression(max_iter=50000, random_state=123))\n",
+ "])\n",
+ "\n",
+ "# Grilla de hiperparámetros\n",
+ "param_grid_log = {\n",
+ " \"logreg__C\": [0.01, 0.1, 1.0, 10.0],\n",
+ " \"logreg__class_weight\": [None, \"balanced\"]\n",
+ "}\n",
+ "\n",
+ "# Búsqueda en grilla con validación cruzada estratificada\n",
+ "grid_log = GridSearchCV(\n",
+ " estimator=pipe_log,\n",
+ " param_grid=param_grid_log,\n",
+ " scoring=\"f1\", # optimizamos F1 de clase 1 (default)\n",
+ " cv=cv,\n",
+ " n_jobs=-1,\n",
+ " verbose=1\n",
+ ")\n",
+ "\n",
+ "grid_log.fit(X_train, y_train)\n",
+ "\n",
+ "print(\"Mejores hiperparámetros Regresión Logística:\")\n",
+ "print(grid_log.best_params_)\n",
+ "print(f\"\\nMejor F1 medio (CV): {grid_log.best_score_:.4f}\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Revisamos las 10 mejores combinaciones para la Regresión Logística:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
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+ "1 {'logreg__C': 1.0, 'logreg__class_weight': 'ba... 0.329788 \n",
+ "2 {'logreg__C': 0.1, 'logreg__class_weight': 'ba... 0.329677 \n",
+ "3 {'logreg__C': 0.01, 'logreg__class_weight': 'b... 0.329386 \n",
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+ "6 {'logreg__C': 0.1, 'logreg__class_weight': None} 0.228090 \n",
+ "7 {'logreg__C': 0.01, 'logreg__class_weight': None} 0.224937 \n",
+ "\n",
+ " Desviación \n",
+ "0 0.005935 \n",
+ "1 0.005987 \n",
+ "2 0.006026 \n",
+ "3 0.006251 \n",
+ "4 0.008450 \n",
+ "5 0.008450 \n",
+ "6 0.008815 \n",
+ "7 0.008908 "
+ ]
+ },
+ "execution_count": 23,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## TOP 10 — RESULTADOS GRID SEARCH REGRESIÓN LOG. ##\n",
+ "########################################################\n",
+ "\n",
+ "resultados_log_cv = (\n",
+ " pd.DataFrame(grid_log.cv_results_)\n",
+ " .sort_values(\"mean_test_score\", ascending=False)\n",
+ " [[\"params\", \"mean_test_score\", \"std_test_score\"]]\n",
+ " .rename(columns={\n",
+ " \"mean_test_score\": \"F1 medio (CV)\",\n",
+ " \"std_test_score\": \"Desviación\"\n",
+ " })\n",
+ " .head(10)\n",
+ " .reset_index(drop=True)\n",
+ ")\n",
+ "resultados_log_cv"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "39ec1184",
+ "metadata": {},
+ "source": [
+ "Los resultados del Grid Search para la Regresión Logística muestran que la mejor configuración corresponde a C = 10 y class_weight = \"balanced\", alcanzando un F1-score medio de 0.3298 en validación cruzada. El uso de class_weight=\"balanced\" resulta especialmente útil en este problema debido al desbalance de clases, ya que asigna mayor penalización a los errores en la clase minoritaria (default). Además, la baja desviación entre folds indica que el modelo presenta un desempeño estable y consistente bajo diferentes particiones de los datos."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 5.3 Comparación de modelos tras validación cruzada\n",
+ "\n",
+ "Comparamos los **mejores modelos** de cada algoritmo según el F1 medio obtenido en la validación cruzada. El modelo con mayor F1 será el que usemos en la Sección 6 para la evaluación final."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Comparación de modelos — F1 medio en validación cruzada:\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " Modelo \n",
+ " Mejores params \n",
+ " F1 medio (CV) \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " k-NN (mejor configuración CV) \n",
+ " {'knn__metric': 'euclidean', 'knn__n_neighbors... \n",
+ " 0.2708 \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " Regresión Logística (mejor configuración CV) \n",
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+ " 0.3298 \n",
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+ "
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+ ],
+ "text/plain": [
+ " Modelo \\\n",
+ "0 k-NN (mejor configuración CV) \n",
+ "1 Regresión Logística (mejor configuración CV) \n",
+ "\n",
+ " Mejores params F1 medio (CV) \n",
+ "0 {'knn__metric': 'euclidean', 'knn__n_neighbors... 0.2708 \n",
+ "1 {'logreg__C': 10.0, 'logreg__class_weight': 'b... 0.3298 "
+ ]
+ },
+ "execution_count": 24,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## COMPARACIÓN FINAL TRAS GRID SEARCH ##\n",
+ "########################################################\n",
+ "\n",
+ "resumen_cv = pd.DataFrame([\n",
+ " {\n",
+ " \"Modelo\": \"k-NN (mejor configuración CV)\",\n",
+ " \"Mejores params\": str(grid_knn.best_params_),\n",
+ " \"F1 medio (CV)\": round(grid_knn.best_score_, 4)\n",
+ " },\n",
+ " {\n",
+ " \"Modelo\": \"Regresión Logística (mejor configuración CV)\",\n",
+ " \"Mejores params\": str(grid_log.best_params_),\n",
+ " \"F1 medio (CV)\": round(grid_log.best_score_, 4)\n",
+ " }\n",
+ "])\n",
+ "\n",
+ "print(\"Comparación de modelos — F1 medio en validación cruzada:\")\n",
+ "resumen_cv"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "0f7426fd",
+ "metadata": {},
+ "source": [
+ "Al comparar los modelos optimizados mediante validación cruzada, se observa que la Regresión Logística presenta un mejor desempeño que k-NN. En particular, la Regresión Logística alcanza un F1-score medio de 0.3298, mientras que k-NN obtiene 0.2708. Este resultado sugiere que, tras la optimización de hiperparámetros, la Regresión Logística logra un mejor equilibrio entre precisión y recall en la detección de clientes en incumplimiento, por lo que se perfila como el modelo más adecuado entre los evaluados en esta etapa."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 6. Métricas de Evaluación y Decisión\n",
+ "\n",
+ "En esta sección tomamos el **mejor modelo encontrado en la Sección 5** y lo evaluamos sobre el conjunto de validación `X_val` que fue reservado exclusivamente para esta etapa — el modelo nunca lo vio durante el entrenamiento.\n",
+ "\n",
+ "Para evaluar el desempeño usamos:\n",
+ "\n",
+ "- **Matriz de confusión:** muestra cuántos casos el modelo clasificó correctamente e incorrectamente para cada clase.\n",
+ "- **Reporte de clasificación:** resume las métricas de Accuracy, Precisión, Recall y F1-Score para cada clase."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 6.1 Evaluación del modelo final\n",
+ "\n",
+ "Comparamos los dos mejores modelos obtenidos por Grid Search — k-NN y Regresión Logística — evaluándolos sobre el conjunto de validación.\n",
+ "\n",
+ "Recordemos el significado de cada métrica en el contexto de riesgo crediticio:\n",
+ "\n",
+ "- **Accuracy:** porcentaje total de predicciones correctas. Con datos desbalanceados puede ser engañosa — un modelo que nunca predice default tendría 93% de accuracy sin detectar ningún caso de riesgo.\n",
+ "- **Precisión (clase 1):** de todos los que el modelo marcó como \"default\", ¿qué proporción realmente incumplió?\n",
+ "- **Recall (clase 1):** de todos los que realmente incumplieron, ¿qué proporción detectó el modelo? Esta métrica es crítica en riesgo crediticio porque un Falso Negativo (no detectar a alguien que va a incumplir) es más costoso que un Falso Positivo.\n",
+ "- **F1-Score (clase 1):** promedio armónico entre precisión y recall. Es la métrica principal para comparar modelos con clases desbalanceadas."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "===== Mejor k-NN (Grid Search) — Conjunto de Validación =====\n",
+ " precision recall f1-score support\n",
+ "\n",
+ " 0 0.94 0.98 0.96 27995\n",
+ " 1 0.43 0.19 0.26 2005\n",
+ "\n",
+ " accuracy 0.93 30000\n",
+ " macro avg 0.69 0.59 0.61 30000\n",
+ "weighted avg 0.91 0.93 0.92 30000\n",
+ "\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## EVALUACIÓN — MEJOR MODELO k-NN ##\n",
+ "########################################################\n",
+ "\n",
+ "# Recuperar el mejor modelo k-NN y evaluarlo en validación\n",
+ "mejor_knn = grid_knn.best_estimator_\n",
+ "mejor_knn.fit(X_train, y_train)\n",
+ "pred_val_knn = mejor_knn.predict(X_val)\n",
+ "\n",
+ "print(\"===== Mejor k-NN (Grid Search) — Conjunto de Validación =====\")\n",
+ "print(classification_report(y_val, pred_val_knn))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "3c9b9240",
+ "metadata": {},
+ "source": [
+ "El modelo k-NN presenta un F1-score de 0.26 para la clase 1, con precision de 0.43 y recall de 0.19. Esto indica que, aunque cuando predice default suele acertar con relativa frecuencia, el modelo detecta solo una pequeña proporción de los incumplimientos reales, lo que limita su utilidad en un contexto de riesgo crediticio."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "===== Mejor Regresión Logística (Grid Search) — Conjunto de Validación =====\n",
+ " precision recall f1-score support\n",
+ "\n",
+ " 0 0.98 0.81 0.89 27995\n",
+ " 1 0.22 0.73 0.33 2005\n",
+ "\n",
+ " accuracy 0.80 30000\n",
+ " macro avg 0.60 0.77 0.61 30000\n",
+ "weighted avg 0.93 0.80 0.85 30000\n",
+ "\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## EVALUACIÓN — MEJOR MODELO REGRESIÓN LOGÍSTICA ##\n",
+ "########################################################\n",
+ "\n",
+ "# Recuperar el mejor modelo de Regresión Logística y evaluarlo en validación\n",
+ "mejor_log = grid_log.best_estimator_\n",
+ "mejor_log.fit(X_train, y_train)\n",
+ "pred_val_log = mejor_log.predict(X_val)\n",
+ "\n",
+ "print(\"===== Mejor Regresión Logística (Grid Search) — Conjunto de Validación =====\")\n",
+ "print(classification_report(y_val, pred_val_log))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a1534259",
+ "metadata": {},
+ "source": [
+ "Por su parte, la Regresión Logística obtiene un F1-score de 0.33 para la clase 1, superando al modelo k-NN. En particular, destaca un recall de 0.73, lo que significa que el modelo logra identificar una mayor proporción de clientes que realmente incumplen. Aunque la precision es menor (0.22), este comportamiento es común en problemas desbalanceados donde el objetivo principal es no dejar pasar casos de alto riesgo.\n",
+ "\n",
+ "En conjunto, estos resultados sugieren que la Regresión Logística ofrece un mejor equilibrio entre precisión y recall, especialmente al priorizar la detección de incumplimientos, por lo que se perfila como el modelo más adecuado para este problema de riesgo crediticio."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 6.2 Matrices de confusión\n",
+ "\n",
+ "La matriz de confusión muestra en detalle los cuatro tipos de resultado posibles:\n",
+ "\n",
+ "- **Verdadero Negativo (TN):** predijo \"no default\" y era correcto.\n",
+ "- **Falso Positivo (FP):** predijo \"default\" pero no lo era. *(El banco rechaza a un cliente que habría pagado)*\n",
+ "- **Falso Negativo (FN):** predijo \"no default\" pero sí incumplió. *(El banco aprueba a alguien que no va a pagar — el error más costoso)*\n",
+ "- **Verdadero Positivo (TP):** predijo \"default\" y era correcto."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## MATRICES DE CONFUSIÓN — AMBOS MODELOS ##\n",
+ "########################################################\n",
+ "\n",
+ "fig, axes = plt.subplots(1, 2, figsize=(13, 5))\n",
+ "\n",
+ "modelos_eval = [\n",
+ " (pred_val_knn, \"Mejor k-NN (Grid Search)\"),\n",
+ " (pred_val_log, \"Mejor Regresión Logística (Grid Search)\")\n",
+ "]\n",
+ "\n",
+ "for ax, (pred, titulo) in zip(axes, modelos_eval):\n",
+ " mc = confusion_matrix(y_val, pred)\n",
+ " sns.heatmap(\n",
+ " mc,\n",
+ " annot=True,\n",
+ " fmt=\"d\",\n",
+ " cmap=\"Blues\",\n",
+ " ax=ax,\n",
+ " annot_kws={\"size\": 14},\n",
+ " xticklabels=[\"No default (0)\", \"Default (1)\"],\n",
+ " yticklabels=[\"No default (0)\", \"Default (1)\"]\n",
+ " )\n",
+ " ax.set_title(titulo, fontsize=11, fontweight=\"bold\")\n",
+ " ax.set_xlabel(\"Predicción\", fontsize=10)\n",
+ " ax.set_ylabel(\"Valor real\", fontsize=10)\n",
+ "\n",
+ "plt.suptitle(\"Matrices de Confusión — Conjunto de Validación\",\n",
+ " fontsize=13, fontweight=\"bold\")\n",
+ "plt.tight_layout()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "72c741c4",
+ "metadata": {},
+ "source": [
+ "Las matrices de confusión permiten comparar cómo se comportan los modelos al clasificar correctamente los casos de default y no default. En el caso de k-NN, el modelo clasifica correctamente 27 494 casos de no incumplimiento, pero solo identifica 378 de los 2 005 casos reales de default, lo que refleja una baja capacidad para detectar la clase minoritaria. Por otro lado, la Regresión Logística identifica 1 467 casos de default, una mejora sustancial frente a k-NN, aunque a costa de un mayor número de falsos positivos (clientes clasificados como default cuando no lo son). En problemas de riesgo crediticio, este comportamiento suele ser preferible, ya que es más costoso no detectar un cliente riesgoso (falso negativo) que generar una alerta adicional, lo que refuerza la elección de la Regresión Logística como modelo final."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 6.3 Decisión del modelo final\n",
+ "\n",
+ "Con base en las métricas de validación cruzada (Sección 5) y la evaluación sobre el conjunto de validación (Sección 6), seleccionamos el modelo con mejor F1-Score en la clase 1 como **modelo final**.\n",
+ "\n",
+ "En el contexto de riesgo crediticio priorizamos el **Recall de la clase 1**: es preferible ser más cauteloso y señalar algunos falsos positivos que dejar pasar clientes que van a incumplir (falsos negativos)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Comparación final de modelos — Conjunto de Validación:\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " Modelo \n",
+ " Accuracy \n",
+ " Precisión (default) \n",
+ " Recall (default) \n",
+ " F1 (default) \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " k-NN (mejor Grid Search) \n",
+ " 0.9291 \n",
+ " 0.4300 \n",
+ " 0.1885 \n",
+ " 0.2621 \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " Regresión Logística (mejor Grid Search) \n",
+ " 0.8041 \n",
+ " 0.2155 \n",
+ " 0.7317 \n",
+ " 0.3330 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
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+ ],
+ "text/plain": [
+ " Modelo Accuracy Precisión (default) \\\n",
+ "0 k-NN (mejor Grid Search) 0.9291 0.4300 \n",
+ "1 Regresión Logística (mejor Grid Search) 0.8041 0.2155 \n",
+ "\n",
+ " Recall (default) F1 (default) \n",
+ "0 0.1885 0.2621 \n",
+ "1 0.7317 0.3330 "
+ ]
+ },
+ "execution_count": 28,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## TABLA COMPARATIVA FINAL ##\n",
+ "########################################################\n",
+ "\n",
+ "from sklearn.metrics import f1_score, recall_score, precision_score, accuracy_score\n",
+ "\n",
+ "comparacion_final = pd.DataFrame([\n",
+ " {\n",
+ " \"Modelo\": \"k-NN (mejor Grid Search)\",\n",
+ " \"Accuracy\": round(accuracy_score(y_val, pred_val_knn), 4),\n",
+ " \"Precisión (default)\": round(precision_score(y_val, pred_val_knn), 4),\n",
+ " \"Recall (default)\": round(recall_score(y_val, pred_val_knn), 4),\n",
+ " \"F1 (default)\": round(f1_score(y_val, pred_val_knn), 4)\n",
+ " },\n",
+ " {\n",
+ " \"Modelo\": \"Regresión Logística (mejor Grid Search)\",\n",
+ " \"Accuracy\": round(accuracy_score(y_val, pred_val_log), 4),\n",
+ " \"Precisión (default)\": round(precision_score(y_val, pred_val_log), 4),\n",
+ " \"Recall (default)\": round(recall_score(y_val, pred_val_log), 4),\n",
+ " \"F1 (default)\": round(f1_score(y_val, pred_val_log), 4)\n",
+ " }\n",
+ "])\n",
+ "\n",
+ "print(\"Comparación final de modelos — Conjunto de Validación:\")\n",
+ "comparacion_final"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "eab68d31",
+ "metadata": {},
+ "source": [
+ "La comparación final de los modelos muestra que k-NN alcanza una mayor accuracy (0.9291) y precisión (0.43) para la clase default, pero presenta un recall muy bajo (0.1885), lo que indica que detecta solo una pequeña proporción de los clientes que realmente incumplen. En contraste, la Regresión Logística logra un recall significativamente mayor (0.7317), identificando la mayoría de los casos de incumplimiento, aunque con una precisión menor (0.2155) y una accuracy más baja (0.8041). Como consecuencia, la Regresión Logística obtiene también el mayor F1-score (0.3330) para la clase default.\n",
+ "\n",
+ "**En el contexto de riesgo crediticio, donde es más costoso no detectar un cliente que va a incumplir que generar algunos falsos positivos, resulta preferible un modelo con mayor recall en la clase de default. Por esta razón, se selecciona la Regresión Logística como modelo final.**"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 7. Predicción en el conjunto de test\n",
+ "\n",
+ "Antes de generar las predicciones finales, se realiza una inspección del conjunto de test (X_test) para verificar que las variables tengan la misma estructura que el conjunto utilizado para entrenar el modelo. En esta etapa se confirma que la base ya incorpora todas las transformaciones aplicadas en el preprocesamiento, incluyendo la imputación de valores faltantes, el tratamiento de outliers y la creación de nuevas variables derivadas como flag_ingreso_nulo y flag_atrasos_98. De esta manera, el conjunto de test mantiene exactamente las mismas variables y transformaciones que el conjunto de entrenamiento, garantizando que el modelo pueda aplicar correctamente las predicciones sobre datos preparados bajo el mismo esquema de procesamiento."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "id": "d98af9be",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " RevolvingUtilizationOfUnsecuredLines \n",
+ " age \n",
+ " NumberOfTime30-59DaysPastDueNotWorse \n",
+ " NumberOfTimes90DaysLate \n",
+ " DebtRatio \n",
+ " MonthlyIncome \n",
+ " NumberOfOpenCreditLinesAndLoans \n",
+ " NumberRealEstateLoansOrLines \n",
+ " NumberOfDependents \n",
+ " flag_ingreso_nulo \n",
+ " flag_atrasos_98 \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " count \n",
+ " 101503.000000 \n",
+ " 101503.000000 \n",
+ " 101503.000000 \n",
+ " 101503.000000 \n",
+ " 101503.000000 \n",
+ " 101503.000000 \n",
+ " 101503.000000 \n",
+ " 101503.000000 \n",
+ " 101503.00000 \n",
+ " 101503.000000 \n",
+ " 101503.000000 \n",
+ " \n",
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+ " mean \n",
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+ " 0.74915 \n",
+ " 0.198053 \n",
+ " 0.002098 \n",
+ " \n",
+ " \n",
+ " std \n",
+ " 0.407885 \n",
+ " 14.777235 \n",
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+ " 3819.079148 \n",
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+ " 1.000000 \n",
+ " 0.00000 \n",
+ " 0.000000 \n",
+ " 0.000000 \n",
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+ " \n",
+ " 75% \n",
+ " 0.564225 \n",
+ " 63.000000 \n",
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+ " 0.000000 \n",
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+ " 7374.000000 \n",
+ " 11.000000 \n",
+ " 2.000000 \n",
+ " 1.00000 \n",
+ " 0.000000 \n",
+ " 0.000000 \n",
+ " \n",
+ " \n",
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+ " 5.000000 \n",
+ " 95.000000 \n",
+ " 13.000000 \n",
+ " 13.000000 \n",
+ " 4979.040000 \n",
+ " 23000.000000 \n",
+ " 85.000000 \n",
+ " 37.000000 \n",
+ " 43.00000 \n",
+ " 1.000000 \n",
+ " 1.000000 \n",
+ " \n",
+ " \n",
+ "
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+ "
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+ ],
+ "text/plain": [
+ " RevolvingUtilizationOfUnsecuredLines age \\\n",
+ "count 101503.000000 101503.000000 \n",
+ "mean 0.330565 52.404599 \n",
+ "std 0.407885 14.777235 \n",
+ "min 0.000000 21.000000 \n",
+ "25% 0.030131 41.000000 \n",
+ "50% 0.152586 52.000000 \n",
+ "75% 0.564225 63.000000 \n",
+ "max 5.000000 95.000000 \n",
+ "\n",
+ " NumberOfTime30-59DaysPastDueNotWorse NumberOfTimes90DaysLate \\\n",
+ "count 101503.000000 101503.000000 \n",
+ "mean 0.274524 0.117386 \n",
+ "std 0.915546 0.758526 \n",
+ "min 0.000000 0.000000 \n",
+ "25% 0.000000 0.000000 \n",
+ "50% 0.000000 0.000000 \n",
+ "75% 0.000000 0.000000 \n",
+ "max 13.000000 13.000000 \n",
+ "\n",
+ " DebtRatio MonthlyIncome NumberOfOpenCreditLinesAndLoans \\\n",
+ "count 101503.000000 101503.000000 101503.000000 \n",
+ "mean 314.010870 6139.879521 8.453514 \n",
+ "std 903.964523 3819.079148 5.144100 \n",
+ "min 0.000000 0.000000 0.000000 \n",
+ "25% 0.173423 3900.000000 5.000000 \n",
+ "50% 0.364260 5400.000000 8.000000 \n",
+ "75% 0.851619 7374.000000 11.000000 \n",
+ "max 4979.040000 23000.000000 85.000000 \n",
+ "\n",
+ " NumberRealEstateLoansOrLines NumberOfDependents flag_ingreso_nulo \\\n",
+ "count 101503.000000 101503.00000 101503.000000 \n",
+ "mean 1.013074 0.74915 0.198053 \n",
+ "std 1.110253 1.12860 0.398534 \n",
+ "min 0.000000 0.00000 0.000000 \n",
+ "25% 0.000000 0.00000 0.000000 \n",
+ "50% 1.000000 0.00000 0.000000 \n",
+ "75% 2.000000 1.00000 0.000000 \n",
+ "max 37.000000 43.00000 1.000000 \n",
+ "\n",
+ " flag_atrasos_98 \n",
+ "count 101503.000000 \n",
+ "mean 0.002098 \n",
+ "std 0.045761 \n",
+ "min 0.000000 \n",
+ "25% 0.000000 \n",
+ "50% 0.000000 \n",
+ "75% 0.000000 \n",
+ "max 1.000000 "
+ ]
+ },
+ "execution_count": 36,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "X_test.describe()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Predicciones generadas: 101503\n",
+ "Probabilidad mínima: 0.0364\n",
+ "Probabilidad máxima: 1.0000\n",
+ "Probabilidad media: 0.3480\n"
+ ]
+ }
+ ],
+ "source": [
+ "########################################################\n",
+ "## ENTRENAMIENTO FINAL CON TODOS LOS DATOS ##\n",
+ "########################################################\n",
+ "\n",
+ "# Seleccionar el mejor modelo según los resultados de la Sección 6\n",
+ "# (reemplazar grid_log por grid_knn si k-NN obtuvo mejor F1)\n",
+ "modelo_final = grid_log.best_estimator_\n",
+ "\n",
+ "# Entrenar con todo X (no solo X_train) para maximizar la información\n",
+ "modelo_final.fit(X, y)\n",
+ "\n",
+ "# Generar probabilidades de default para el conjunto de test\n",
+ "proba_test = modelo_final.predict_proba(X_test)[:, 1]\n",
+ "\n",
+ "print(f\"Predicciones generadas: {len(proba_test)}\")\n",
+ "print(f\"Probabilidad mínima: {proba_test.min():.4f}\")\n",
+ "print(f\"Probabilidad máxima: {proba_test.max():.4f}\")\n",
+ "print(f\"Probabilidad media: {proba_test.mean():.4f}\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "514aba95",
+ "metadata": {},
+ "source": [
+ "El modelo generó probabilidades de incumplimiento para 101 503 observaciones, lo cual coincide con el tamaño del conjunto de test. Esto confirma que se produjo una predicción para cada registro disponible.\n",
+ "\n",
+ "- **Probabilidad mínima: ** La probabilidad mínima estimada es 0.0364, lo que indica que incluso los clientes considerados de menor riesgo mantienen una probabilidad positiva de incumplimiento. Esto es esperable en modelos de riesgo crediticio, donde raramente se asignan probabilidades cercanas a cero absoluto.\n",
+ "\n",
+ "- **Probabilidad máxima:** La probabilidad máxima es 1.0000, lo que significa que el modelo identifica al menos un caso con un perfil extremadamente riesgoso.\n",
+ "\n",
+ "- **Probabilidad media.:** La probabilidad media estimada es 0.3480, lo que sugiere que, en promedio, el modelo asigna una probabilidad de incumplimiento cercana al 35 % en el conjunto de test. Este valor es mayor al porcentaje real de default observado en el entrenamiento, lo cual es coherente con el uso de class_weight=\"balanced\", que aumenta la sensibilidad del modelo hacia la clase minoritaria."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 38,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Distribución de predicciones en test:\n",
+ "No default (0): 77986\n",
+ "Default (1): 23517\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Convertir probabilidades a clases usando umbral 0.5\n",
+ "pred_test = (proba_test >= 0.5).astype(int)\n",
+ "conteo = pd.Series(pred_test).value_counts().sort_index()\n",
+ "\n",
+ "print(\"Distribución de predicciones en test:\")\n",
+ "print(f\"No default (0): {conteo.get(0,0)}\")\n",
+ "print(f\"Default (1): {conteo.get(1,0)}\")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 39,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Porcentaje:\n",
+ "0 0.768312\n",
+ "1 0.231688\n",
+ "Name: proportion, dtype: float64\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(\"\\nPorcentaje:\")\n",
+ "print(pd.Series(pred_test).value_counts(normalize=True).sort_index())"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "899104a3",
+ "metadata": {},
+ "source": [
+ "Al convertir las probabilidades a clases utilizando un umbral de 0.5, el modelo clasifica 77 986 observaciones como no default (0) y 23 517 como default (1). En términos porcentuales, el modelo predice 76.8 % de clientes como no default y 23.2 % como default. Esta distribución refleja un modelo relativamente conservador, que prioriza identificar posibles incumplimientos incluso a costa de generar algunos falsos positivos, lo cual es una estrategia común en problemas de evaluación de riesgo crediticio."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "1646902b",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 8. Conclusiones\n",
+ "\n",
+ "A lo largo del proyecto se desarrolló un flujo completo de analítica y modelado para estimar el riesgo de incumplimiento crediticio. Las decisiones clave y su justificación fueron las siguientes:\n",
+ "\n",
+ "1. **Definición del problema y métrica principal:** se priorizó el **F1-score de la clase 1 (default)** para evaluar modelos, ya que el problema está desbalanceado y esta métrica equilibra precisión y recall.\n",
+ "2. **Tratamiento de datos faltantes con criterio de negocio:**\n",
+ " - En `MonthlyIncome` se conservó la señal de ausencia mediante `flag_ingreso_nulo` y luego se imputó con mediana por grupos, evitando perder información potencialmente predictiva.\n",
+ " - En `NumberOfDependents` se imputó con la mediana por su bajo porcentaje de nulos y estabilidad estadística.\n",
+ "3. **Manejo de outliers orientado al contexto financiero:** en lugar de eliminar masivamente observaciones, se aplicaron límites razonables y reglas de corrección para conservar casos reales extremos que sí pueden representar riesgo.\n",
+ "4. **Selección de variables para reducir redundancia:** se retiró `NumberOfTime60-89DaysPastDueNotWorse` por alta colinealidad con otras variables de mora, manteniendo las de mayor aporte para evitar inestabilidad en modelos lineales.\n",
+ "5. **Comparación de modelos base y optimizados:** se probaron k-NN y Regresión Logística con y sin escalado, y luego se optimizaron hiperparámetros con validación cruzada para una comparación robusta.\n",
+ "6. **Decisión final del modelo:** se eligió **Regresión Logística** porque logró el mejor F1 en la clase de interés y un recall sustancialmente superior para detectar incumplimientos, criterio más alineado con la gestión de riesgo.\n",
+ "7. **Generación de predicciones finales:** el pipeline se aplicó de forma consistente sobre el conjunto de test, garantizando el mismo preprocesamiento usado en entrenamiento y permitiendo obtener probabilidades de default para todos los registros.\n",
+ "\n",
+ "En síntesis, el trabajo no solo buscó maximizar una métrica, sino construir una solución **coherente con el problema de negocio**: identificar la mayor cantidad posible de clientes con riesgo de incumplimiento para apoyar decisiones de crédito más seguras y mejor fundamentadas.\n"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.12.4"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
\ No newline at end of file
diff --git a/final/resumen_decisiones.md b/final/resumen_decisiones.md
new file mode 100644
index 0000000..31b8b6b
--- /dev/null
+++ b/final/resumen_decisiones.md
@@ -0,0 +1,127 @@
+# Resumen de Decisiones — Proyecto Riesgo Crediticio
+**Machine Learning 1 | Universidad del Rosario**
+Vanessa Ochoa, Nilson Amaya, Juan Zamora
+
+---
+
+## 1. ¿Por qué no usamos accuracy como métrica principal?
+
+El dataset tiene un desbalanceo severo: **93.3% no incumple** y solo **6.7% sí incumple**. Esto significa que un modelo que simplemente dijera *"nadie va a hacer default"* tendría 93% de accuracy sin haber aprendido nada útil.
+
+Por eso usamos **F1-Score de la clase 1 (default)** como métrica principal, porque combina precisión y recall y no se ve distorsionada por el desbalanceo.
+
+---
+
+## 2. Decisiones de preprocesamiento
+
+### 2.1 Valores faltantes — imputación con mediana
+
+**Variables afectadas:** `MonthlyIncome` (19.82% nulos) y `NumberOfDependents` (2.62% nulos).
+
+**¿Por qué mediana y no media?**
+Las variables financieras tienen outliers extremos. La media se arrastra hacia esos valores extremos y dejaría de representar al cliente típico. La mediana es el valor del centro y no se afecta por los extremos.
+
+**Decisión extra en `MonthlyIncome`:**
+Los registros con ingreso desconocido tienen más tasa de default que los que sí tienen ingreso. Eso significa que *no saber el ingreso* ya es una señal. Por eso creamos `flag_ingreso_nulo = 1` **antes** de imputar, para no perder esa información.
+
+> **Regla de oro:** los parámetros de imputación (la mediana) se calculan **solo en train** y se aplican al test con ese mismo valor. Nunca al revés.
+
+---
+
+### 2.2 Outliers — tratamiento con criterio financiero
+
+Cada variable se trató según su **significado real**, no solo por su magnitud.
+
+| Variable | Problema | Decisión | ¿Por qué? |
+|---|---|---|---|
+| `RevolvingUtilization` | Máximo = 50,708 (debería ser 0–1) | `clip(0, 5)` | Los valores entre 1 y 5 son clientes que **superaron su límite** — tienen 37% de default vs 6% del resto. Recortarlos a 1 destruiría esa señal. |
+| `DebtRatio` | Máximo = 329,664 | `clip(0, P99)` | El valor extremo viene de dividir deuda entre ingreso = 0 (división por cero). No es deuda real. Se capa en percentil 99 para conservar la variabilidad válida. |
+| `age` | Mínimo = 0, algunos valores 96–98 | `clip(18, 95)` | Edades imposibles o errores de registro. |
+| `MonthlyIncome` | Máximo = 3,008,750 | `clip(0, P99)` | Ingresos extremadamente altos que distorsionan el escalamiento. |
+| Variables de atrasos (30-59, 60-89, 90+ días) | 264 registros con valor = 98 | Crear `flag_atrasos_98`, luego `clip(0, 13)` | El valor 98 es un **código especial**, no 98 atrasos reales. Esos 264 registros tienen **54% de tasa de default** — son los clientes más riesgosos del dataset. Reemplazarlos con 0 sería el error más grave posible. |
+
+---
+
+### 2.3 Selección de variables
+
+Se excluyó `NumberOfTime60-89DaysPastDueNotWorse` porque tiene correlación alta con las otras dos variables de atrasos (entre 0.58 y 0.75). Incluirla no aporta información nueva y puede generar **multicolinealidad**, lo que afecta especialmente a la Regresión Logística.
+
+Se agregaron dos variables nuevas creadas en el preprocesamiento:
+- `flag_ingreso_nulo` — captura que el ingreso era desconocido
+- `flag_atrasos_98` — captura el grupo de mayor riesgo del dataset
+
+---
+
+### 2.4 Escalamiento — ¿MinMax o Standard?
+
+Ambos escaladores se probaron en los dos modelos. La diferencia clave es:
+
+- **MinMaxScaler:** lleva todo al rango [0, 1]. Sensible a outliers — si hay un valor extremo, el resto queda comprimido.
+- **StandardScaler:** centra en media 0 y desviación 1. Más robusto ante outliers.
+
+El Grid Search decide cuál funciona mejor para cada modelo con estos datos específicos.
+
+---
+
+## 3. Decisiones de modelado
+
+### 3.1 ¿Por qué dos modelos?
+
+El enunciado lo pide, pero también tiene sentido técnico: k-NN y Regresión Logística tienen naturalezas distintas.
+
+| | k-NN | Regresión Logística |
+|---|---|---|
+| ¿Cómo aprende? | Memoriza los datos y clasifica por proximidad | Aprende una ecuación con coeficientes |
+| ¿Necesita escalar? | Sí, siempre — se basa en distancias | Sí, para que la regularización sea justa |
+| ¿Es interpretable? | No | Sí — cada coeficiente dice cuánto pesa cada variable |
+| Hiperparámetro clave | `k` (número de vecinos) | `C` (nivel de regularización) |
+
+### 3.2 Split con stratify
+
+Se usó `stratify=y` en el train/test split para garantizar que la proporción de defaults (6.7%) sea la misma en train y en validación. Sin esto, podría quedar un split donde casi todos los defaults caen en un solo lado por azar.
+
+### 3.3 ¿Por qué Grid Search con Pipeline?
+
+El `Pipeline` garantiza que el escalador se ajuste **solo con los datos de entrenamiento en cada pliegue** de la validación cruzada. Si escaláramos fuera del Pipeline, estaríamos filtrando información del conjunto de validación al modelo — lo que se llama **data leakage**.
+
+### 3.4 ¿Por qué StratifiedKFold y no KFold?
+
+Con clases desbalanceadas, un KFold normal podría crear pliegues donde casi no hay defaults. El `StratifiedKFold` garantiza que cada pliegue tenga la misma proporción de defaults que el dataset completo.
+
+---
+
+## 4. ¿Cómo elegir el modelo final?
+
+Cuando tengan los resultados de Colab, apliquen este criterio en orden:
+
+### Paso 1 — Mirar el F1 medio en validación cruzada (Sección 5)
+El modelo con mayor F1 medio en CV es el punto de partida. Si la diferencia es pequeña (menos de 0.01), pasar al paso 2.
+
+### Paso 2 — Mirar el Recall de la clase 1 en validación (Sección 6)
+En riesgo crediticio, **no detectar a alguien que va a incumplir** (Falso Negativo) es más costoso que rechazar a alguien que sí pagaría (Falso Positivo). Por eso si dos modelos tienen F1 similar, gana el que tenga mayor Recall.
+
+### Paso 3 — Mirar la estabilidad (columna Desviación en la tabla de CV)
+Un modelo con F1 = 0.35 y desviación 0.01 es mejor que uno con F1 = 0.36 y desviación 0.08. El segundo depende demasiado del split específico.
+
+### Paso 4 — Mirar la matriz de confusión
+Comparar cuántos **Falsos Negativos** tiene cada modelo. El que tenga menos FN es el más conservador y adecuado para este problema.
+
+---
+
+### Tabla de decisión rápida
+
+| Situación | Recomendación |
+|---|---|
+| Regresión Logística tiene mayor F1 | Usar Regresión Logística |
+| k-NN tiene mayor F1 | Usar k-NN |
+| F1 muy similar entre ambos | Usar Regresión Logística — es más interpretable y estable |
+| Uno tiene mucho mejor Recall aunque F1 similar | Usar el de mayor Recall |
+
+---
+
+## 5. Frase clave para defender el proyecto
+
+> *"El éxito en Machine Learning no reside en el algoritmo más complejo, sino en el entendimiento profundo de los datos y la correcta evaluación del error."*
+> — Prof. Daniel Rambaut
+
+Todas las decisiones de este proyecto — desde no recortar RevolvingUtilization a 1, hasta crear el flag de los valores 98 — responden exactamente a ese principio: primero entender los datos, luego modelar.
diff --git a/final/submission.csv b/final/submission.csv
new file mode 100644
index 0000000..21af326
--- /dev/null
+++ b/final/submission.csv
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diff --git a/notebook/proyecto_1.ipynb b/notebook/proyecto_1.ipynb
index 0946185..8a087bb 100644
--- a/notebook/proyecto_1.ipynb
+++ b/notebook/proyecto_1.ipynb
@@ -1,227 +1,1640 @@
{
- "cells": [
- {
- "cell_type": "markdown",
- "id": "b1ca7847",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "# Proyecto 1 \n",
- "## Clasificación de Riesgo Crediticio \n",
- "\n",
- "**Machine Learning** \n",
- "Universidad del Rosario\n",
- "\n",
- "Vanessa Ochoa, Nilson Amaya, Juan Zamora\n",
- "\n",
- "
\n"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "02e6c89c",
- "metadata": {},
- "source": [
- "---"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "8fc99973",
- "metadata": {},
- "source": [
- "## Tabla de contenido\n",
- "\n",
- "- [Introducción](#1-introducción)\n",
- "- [Importación del dataset](#2-importación-del-dataset)\n",
- "- [EDA](#3-análisis-exploratorio-de-datos-eda)\n",
- "- [Modelos](#4-modelos)\n",
- "- [Resultados](#5-resultados)\n",
- "- [Conclusiones](#6-conclusiones)"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "03f0d790",
- "metadata": {},
- "source": [
- " \n",
- "## 1. Introducción\n",
- "\n",
- "El riesgo crediticio es uno de los principales problemas que enfrentan las instituciones financieras, ya que implica la posibilidad de que una persona no cumpla con sus obligaciones de pago. Poder anticipar este tipo de situaciones es clave para reducir pérdidas y mejorar la toma de decisiones.\n",
- "\n",
- "En este proyecto se utiliza el dataset **\"Give Me Some Credit\"** con el objetivo de predecir si una persona tendrá dificultades financieras en los próximos dos años. Este problema se aborda como una tarea de **clasificación binaria**, donde el modelo debe identificar si un cliente presenta riesgo de incumplimiento o no.\n",
- "\n",
- "Para resolver este problema se desarrolla un flujo completo de **Machine Learning**, que incluye análisis exploratorio de datos (EDA), tratamiento de valores faltantes y outliers, implementación de modelos de clasificación como **k-NN** y **Regresión Logística**, así como la optimización de hiperparámetros mediante **Grid Search** y validación cruzada.\n",
- "\n",
- "Finalmente, se comparan los modelos obtenidos para identificar cuál ofrece el mejor desempeño en la predicción del riesgo crediticio."
- ]
- },
- {
- "cell_type": "markdown",
- "id": "e4d49a61",
- "metadata": {},
- "source": [
- " \n",
- "## 2. Importación del dataset"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "98f3ae7d",
- "metadata": {},
- "source": [
- "Antes de cargar el dataset, se importan las librerías necesarias para realizar el proyecto."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 16,
- "id": "48e9f010",
- "metadata": {},
- "outputs": [],
- "source": [
- "import pandas as pd\n",
- "import numpy as np\n",
- "import matplotlib.pyplot as plt\n",
- "import seaborn as sns\n",
- "\n",
- "from sklearn.model_selection import train_test_split, GridSearchCV\n",
- "from sklearn.preprocessing import StandardScaler, MinMaxScaler\n",
- "from sklearn.neighbors import KNeighborsClassifier\n",
- "from sklearn.linear_model import LogisticRegression\n",
- "from sklearn.metrics import classification_report, confusion_matrix, roc_auc_score"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 17,
- "id": "c98c4be2",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "\n",
- "RangeIndex: 150000 entries, 0 to 149999\n",
- "Data columns (total 12 columns):\n",
- " # Column Non-Null Count Dtype \n",
- "--- ------ -------------- ----- \n",
- " 0 Unnamed: 0 150000 non-null int64 \n",
- " 1 SeriousDlqin2yrs 150000 non-null int64 \n",
- " 2 RevolvingUtilizationOfUnsecuredLines 150000 non-null float64\n",
- " 3 age 150000 non-null int64 \n",
- " 4 NumberOfTime30-59DaysPastDueNotWorse 150000 non-null int64 \n",
- " 5 DebtRatio 150000 non-null float64\n",
- " 6 MonthlyIncome 120269 non-null float64\n",
- " 7 NumberOfOpenCreditLinesAndLoans 150000 non-null int64 \n",
- " 8 NumberOfTimes90DaysLate 150000 non-null int64 \n",
- " 9 NumberRealEstateLoansOrLines 150000 non-null int64 \n",
- " 10 NumberOfTime60-89DaysPastDueNotWorse 150000 non-null int64 \n",
- " 11 NumberOfDependents 146076 non-null float64\n",
- "dtypes: float64(4), int64(8)\n",
- "memory usage: 13.7 MB\n"
- ]
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "b1ca7847",
+ "metadata": {},
+ "source": [
+ "\n",
+ "\n",
+ "# Proyecto 1 \n",
+ "## Clasificación de Riesgo Crediticio \n",
+ "\n",
+ "**Machine Learning** \n",
+ "Universidad del Rosario\n",
+ "\n",
+ "Vanessa Ochoa, Nilson Amaya, Juan Zamora\n",
+ "\n",
+ "
\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "02e6c89c",
+ "metadata": {},
+ "source": [
+ "---"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "8fc99973",
+ "metadata": {},
+ "source": [
+ "## Tabla de contenido\n",
+ "\n",
+ "- [Introducción](#1-introducción)\n",
+ "- [Importación del dataset](#2-importación-del-dataset)\n",
+ "- [EDA](#3-análisis-exploratorio-de-datos-eda)\n",
+ "- [Modelos](#4-modelos)\n",
+ "- [Optimización de hiperparámetros y validación](#5-resultados)\n",
+ "- [Métricas de evaluación, ROC y decisión de umbral](#6-conclusiones)\n",
+ "- [Predicción en el conjunto de test](#7-test)\n",
+ "- [Diagrama del pipeline](#8-diagrama)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "03f0d790",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 1. Introducción\n",
+ "\n",
+ "El riesgo crediticio es uno de los principales problemas que enfrentan las instituciones financieras, ya que implica la posibilidad de que una persona no cumpla con sus obligaciones de pago. Poder anticipar este tipo de situaciones es clave para reducir pérdidas y mejorar la toma de decisiones.\n",
+ "\n",
+ "En este proyecto se utiliza el dataset **\"Give Me Some Credit\"** con el objetivo de predecir si una persona tendrá dificultades financieras en los próximos dos años. Este problema se aborda como una tarea de **clasificación binaria**, donde el modelo debe identificar si un cliente presenta riesgo de incumplimiento o no.\n",
+ "\n",
+ "Para resolver este problema se desarrolla un flujo completo de **Machine Learning**, que incluye análisis exploratorio de datos (EDA), tratamiento de valores faltantes y outliers, implementación de modelos de clasificación como **k-NN** y **Regresión Logística**, así como la optimización de hiperparámetros mediante **Grid Search** y validación cruzada.\n",
+ "\n",
+ "Finalmente, se comparan los modelos obtenidos para identificar cuál ofrece el mejor desempeño en la predicción del riesgo crediticio."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e4d49a61",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 2. Importación del dataset"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "98f3ae7d",
+ "metadata": {},
+ "source": [
+ "Antes de cargar el dataset, se importan las librerías necesarias para realizar el proyecto."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "48e9f010",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns\n",
+ "\n",
+ "from sklearn.model_selection import train_test_split, GridSearchCV\n",
+ "from sklearn.preprocessing import StandardScaler, MinMaxScaler\n",
+ "from sklearn.neighbors import KNeighborsClassifier\n",
+ "from sklearn.linear_model import LogisticRegression\n",
+ "from sklearn.metrics import classification_report, confusion_matrix, roc_auc_score"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "c98c4be2",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "RangeIndex: 150000 entries, 0 to 149999\n",
+ "Data columns (total 11 columns):\n",
+ " # Column Non-Null Count Dtype \n",
+ "--- ------ -------------- ----- \n",
+ " 0 SeriousDlqin2yrs 150000 non-null int64 \n",
+ " 1 RevolvingUtilizationOfUnsecuredLines 150000 non-null float64\n",
+ " 2 age 150000 non-null int64 \n",
+ " 3 NumberOfTime30-59DaysPastDueNotWorse 150000 non-null int64 \n",
+ " 4 DebtRatio 150000 non-null float64\n",
+ " 5 MonthlyIncome 120269 non-null float64\n",
+ " 6 NumberOfOpenCreditLinesAndLoans 150000 non-null int64 \n",
+ " 7 NumberOfTimes90DaysLate 150000 non-null int64 \n",
+ " 8 NumberRealEstateLoansOrLines 150000 non-null int64 \n",
+ " 9 NumberOfTime60-89DaysPastDueNotWorse 150000 non-null int64 \n",
+ " 10 NumberOfDependents 146076 non-null float64\n",
+ "dtypes: float64(4), int64(7)\n",
+ "memory usage: 12.6 MB\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Cargamos el dataset\n",
+ "\n",
+ "train = pd.read_csv(\"../input/cs-training.csv\")\n",
+ "test = pd.read_csv(\"../input/cs-test.csv\")\n",
+ "train = train.drop(columns=['Unnamed: 0'])\n",
+ "test = test.drop(columns=['Unnamed: 0'])\n",
+ "\n",
+ "# ver primeras filas\n",
+ "train.info()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "099d50cc",
+ "metadata": {},
+ "source": [
+ "### 2.1 Descripción de las variables\n",
+ "\n",
+ "- **SeriousDlqin2yrs:** Indica si la persona ha tenido una morosidad grave, es decir, un atraso de 90 días o más en el pago de sus obligaciones durante los últimos dos años. Es la variable objetivo del modelo.\n",
+ "\n",
+ "- **RevolvingUtilizationOfUnsecuredLines:** Proporción del saldo utilizado en tarjetas de crédito y líneas de crédito personales respecto al límite total disponible.\n",
+ "\n",
+ "- **age:** Edad del solicitante del crédito expresada en años.\n",
+ "\n",
+ "- **NumberOfTime30-59DaysPastDueNotWorse:** Número de veces que el prestatario ha tenido retrasos en sus pagos entre 30 y 59 días durante los últimos dos años.\n",
+ "\n",
+ "- **DebtRatio:** Relación entre las obligaciones financieras mensuales (deudas, manutención, gastos) y el ingreso bruto mensual del prestatario.\n",
+ "\n",
+ "- **MonthlyIncome:** Ingreso mensual reportado por el prestatario.\n",
+ "\n",
+ "- **NumberOfOpenCreditLinesAndLoans:** Número total de préstamos y líneas de crédito abiertas, como tarjetas de crédito, préstamos de auto o hipotecas.\n",
+ "\n",
+ "- **NumberOfTimes90DaysLate:** Número de veces que el prestatario ha tenido retrasos en pagos de 90 días o más.\n",
+ "\n",
+ "- **NumberRealEstateLoansOrLines:** Número de préstamos relacionados con bienes raíces, incluyendo hipotecas y líneas de crédito sobre vivienda.\n",
+ "\n",
+ "- **NumberOfTime60-89DaysPastDueNotWorse:** Número de veces que el prestatario ha tenido retrasos en pagos entre 60 y 89 días en los últimos dos años.\n",
+ "\n",
+ "- **NumberOfDependents:** Número de personas dependientes económicamente del prestatario, como hijos o cónyuge."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "7b59092d",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " SeriousDlqin2yrs \n",
+ " RevolvingUtilizationOfUnsecuredLines \n",
+ " age \n",
+ " NumberOfTime30-59DaysPastDueNotWorse \n",
+ " DebtRatio \n",
+ " MonthlyIncome \n",
+ " NumberOfOpenCreditLinesAndLoans \n",
+ " NumberOfTimes90DaysLate \n",
+ " NumberRealEstateLoansOrLines \n",
+ " NumberOfTime60-89DaysPastDueNotWorse \n",
+ " NumberOfDependents \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " count \n",
+ " 150000.000000 \n",
+ " 150000.000000 \n",
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+ " \n",
+ " \n",
+ " mean \n",
+ " 0.066840 \n",
+ " 6.048438 \n",
+ " 52.295207 \n",
+ " 0.421033 \n",
+ " 353.005076 \n",
+ " 6.670221e+03 \n",
+ " 8.452760 \n",
+ " 0.265973 \n",
+ " 1.018240 \n",
+ " 0.240387 \n",
+ " 0.757222 \n",
+ " \n",
+ " \n",
+ " std \n",
+ " 0.249746 \n",
+ " 249.755371 \n",
+ " 14.771866 \n",
+ " 4.192781 \n",
+ " 2037.818523 \n",
+ " 1.438467e+04 \n",
+ " 5.145951 \n",
+ " 4.169304 \n",
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+ " 4.155179 \n",
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+ " 0.000000 \n",
+ " 0.000000 \n",
+ " 0.000000 \n",
+ " 0.000000 \n",
+ " 0.000000 \n",
+ " \n",
+ " \n",
+ " 25% \n",
+ " 0.000000 \n",
+ " 0.029867 \n",
+ " 41.000000 \n",
+ " 0.000000 \n",
+ " 0.175074 \n",
+ " 3.400000e+03 \n",
+ " 5.000000 \n",
+ " 0.000000 \n",
+ " 0.000000 \n",
+ " 0.000000 \n",
+ " 0.000000 \n",
+ " \n",
+ " \n",
+ " 50% \n",
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+ " 52.000000 \n",
+ " 0.000000 \n",
+ " 0.366508 \n",
+ " 5.400000e+03 \n",
+ " 8.000000 \n",
+ " 0.000000 \n",
+ " 1.000000 \n",
+ " 0.000000 \n",
+ " 0.000000 \n",
+ " \n",
+ " \n",
+ " 75% \n",
+ " 0.000000 \n",
+ " 0.559046 \n",
+ " 63.000000 \n",
+ " 0.000000 \n",
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+ " 8.249000e+03 \n",
+ " 11.000000 \n",
+ " 0.000000 \n",
+ " 2.000000 \n",
+ " 0.000000 \n",
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+ " \n",
+ " \n",
+ " max \n",
+ " 1.000000 \n",
+ " 50708.000000 \n",
+ " 109.000000 \n",
+ " 98.000000 \n",
+ " 329664.000000 \n",
+ " 3.008750e+06 \n",
+ " 58.000000 \n",
+ " 98.000000 \n",
+ " 54.000000 \n",
+ " 98.000000 \n",
+ " 20.000000 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
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+ ],
+ "text/plain": [
+ " SeriousDlqin2yrs RevolvingUtilizationOfUnsecuredLines age \\\n",
+ "count 150000.000000 150000.000000 150000.000000 \n",
+ "mean 0.066840 6.048438 52.295207 \n",
+ "std 0.249746 249.755371 14.771866 \n",
+ "min 0.000000 0.000000 0.000000 \n",
+ "25% 0.000000 0.029867 41.000000 \n",
+ "50% 0.000000 0.154181 52.000000 \n",
+ "75% 0.000000 0.559046 63.000000 \n",
+ "max 1.000000 50708.000000 109.000000 \n",
+ "\n",
+ " NumberOfTime30-59DaysPastDueNotWorse DebtRatio MonthlyIncome \\\n",
+ "count 150000.000000 150000.000000 1.202690e+05 \n",
+ "mean 0.421033 353.005076 6.670221e+03 \n",
+ "std 4.192781 2037.818523 1.438467e+04 \n",
+ "min 0.000000 0.000000 0.000000e+00 \n",
+ "25% 0.000000 0.175074 3.400000e+03 \n",
+ "50% 0.000000 0.366508 5.400000e+03 \n",
+ "75% 0.000000 0.868254 8.249000e+03 \n",
+ "max 98.000000 329664.000000 3.008750e+06 \n",
+ "\n",
+ " NumberOfOpenCreditLinesAndLoans NumberOfTimes90DaysLate \\\n",
+ "count 150000.000000 150000.000000 \n",
+ "mean 8.452760 0.265973 \n",
+ "std 5.145951 4.169304 \n",
+ "min 0.000000 0.000000 \n",
+ "25% 5.000000 0.000000 \n",
+ "50% 8.000000 0.000000 \n",
+ "75% 11.000000 0.000000 \n",
+ "max 58.000000 98.000000 \n",
+ "\n",
+ " NumberRealEstateLoansOrLines NumberOfTime60-89DaysPastDueNotWorse \\\n",
+ "count 150000.000000 150000.000000 \n",
+ "mean 1.018240 0.240387 \n",
+ "std 1.129771 4.155179 \n",
+ "min 0.000000 0.000000 \n",
+ "25% 0.000000 0.000000 \n",
+ "50% 1.000000 0.000000 \n",
+ "75% 2.000000 0.000000 \n",
+ "max 54.000000 98.000000 \n",
+ "\n",
+ " NumberOfDependents \n",
+ "count 146076.000000 \n",
+ "mean 0.757222 \n",
+ "std 1.115086 \n",
+ "min 0.000000 \n",
+ "25% 0.000000 \n",
+ "50% 0.000000 \n",
+ "75% 1.000000 \n",
+ "max 20.000000 "
+ ]
+ },
+ "execution_count": 3,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "train.describe()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e0f4e7e7",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 3. Análisis Exploratorio de Datos (EDA)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "91716e48",
+ "metadata": {},
+ "source": [
+ "### 3.1 Identificación y tratamiento de datos faltantes e imputación lógica\n",
+ "\n",
+ "Primero identificamos el porcentaje de datos faltantes por variable y, con base en el contexto, aplicamos una imputación lógica:\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "7a4bd274",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " Valores faltantes Porcentaje %\n",
+ "MonthlyIncome 29731 19.82\n",
+ "NumberOfDependents 3924 2.62\n"
+ ]
+ }
+ ],
+ "source": [
+ "faltantes = train.isnull().sum()\n",
+ "porcentaje = (faltantes / len(train)) * 100\n",
+ "tabla_faltantes = pd.DataFrame({\n",
+ " 'Valores faltantes': faltantes,\n",
+ " 'Porcentaje %': porcentaje.round(2)\n",
+ "})\n",
+ "print(tabla_faltantes[tabla_faltantes['Valores faltantes'] > 0])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "de8261eb",
+ "metadata": {},
+ "source": [
+ "Con base en la revisión de valores faltantes, se identificó que las variables MonthlyIncome y NumberOfDependents presentan datos ausentes. Dado que ambas corresponden a variables numéricas, se optó por realizar una imputación utilizando la mediana de cada variable. La mediana se define como el valor central de la distribución cuando los datos se ordenan de menor a mayor. A diferencia de la media, la mediana es menos sensible a la presencia de outliers que en variables financieras es muy común que pase. Por esta razón, la mediana permite imputar los valores faltantes con un valor representativo de la distribución sin distorsionar significativamente su forma. De esta manera, se conserva la estructura general de los datos y se evita introducir sesgos que podrían afectar el entrenamiento del modelo."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "122b37f6",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Faltantes después de imputación:\n",
+ "0\n",
+ "Mediana MonthlyIncome (train): 5400.00\n",
+ "Mediana NumberOfDependents (train): 0.00\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Imputación lógica con medianas del train\n",
+ "median_monthly_income = train['MonthlyIncome'].median()\n",
+ "median_dependents = train['NumberOfDependents'].median()\n",
+ "\n",
+ "train['MonthlyIncome'] = train['MonthlyIncome'].fillna(median_monthly_income)\n",
+ "train['NumberOfDependents'] = train['NumberOfDependents'].fillna(median_dependents)\n",
+ "\n",
+ "# Verificar que ya no hay faltantes\n",
+ "print(\"Faltantes después de imputación:\")\n",
+ "print(train.isnull().sum().sum())\n",
+ "print(f\"Mediana MonthlyIncome (train): {median_monthly_income:.2f}\")\n",
+ "print(f\"Mediana NumberOfDependents (train): {median_dependents:.2f}\")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "4d116435",
+ "metadata": {},
+ "source": [
+ "### 3.2 Análisis de distribuciones y detección de outliers\n",
+ "\n",
+ "Analizamos la forma de las distribuciones con histogramas y boxplots. Para detectar valores atípicos extremos usamos el criterio del **IQR (rango intercuartílico)** y realizamos winsorización suave (capado por percentiles) en variables con colas muy largas.\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "610a5772",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, axes = plt.subplots(3, 3, figsize=(15, 12))\n",
+ "axes = axes.flatten()\n",
+ "\n",
+ "columnas = [\n",
+ " 'RevolvingUtilizationOfUnsecuredLines', 'age',\n",
+ " 'NumberOfTime30-59DaysPastDueNotWorse', 'DebtRatio',\n",
+ " 'MonthlyIncome', 'NumberOfOpenCreditLinesAndLoans',\n",
+ " 'NumberOfTimes90DaysLate', 'NumberOfDependents',\n",
+ " 'NumberOfTime60-89DaysPastDueNotWorse'\n",
+ "]\n",
+ "\n",
+ "for i, col in enumerate(columnas):\n",
+ " axes[i].boxplot(train[col], patch_artist=True,\n",
+ " boxprops=dict(facecolor='lightblue', color='navy'),\n",
+ " medianprops=dict(color='red'))\n",
+ " \n",
+ " axes[i].set_title(col, fontsize=10, fontweight='bold')\n",
+ " axes[i].set_ylabel('Valor')\n",
+ " axes[i].grid(alpha=0.3)\n",
+ "\n",
+ "fig.suptitle('Detección de Outliers por Variable',\n",
+ " fontsize=16, fontweight='bold')\n",
+ "\n",
+ "plt.tight_layout()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "4cd7a8ed",
+ "metadata": {},
+ "source": [
+ "A partir de los boxplots se observa que varias variables presentan valores atípicos, especialmente en RevolvingUtilizationOfUnsecuredLines, DebtRatio y MonthlyIncome, donde hay una gran dispersión y algunos valores extremadamente altos. En las variables relacionadas con retrasos en pagos, la mayoría de los valores se concentran cerca de cero, pero aparecen algunos casos con muchos incumplimientos."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "ce567172",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Outliers tratados en variables continuas\n",
+ "\n",
+ "Estadísticas después del tratamiento:\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " SeriousDlqin2yrs \n",
+ " RevolvingUtilizationOfUnsecuredLines \n",
+ " age \n",
+ " NumberOfTime30-59DaysPastDueNotWorse \n",
+ " DebtRatio \n",
+ " MonthlyIncome \n",
+ " NumberOfOpenCreditLinesAndLoans \n",
+ " NumberOfTimes90DaysLate \n",
+ " NumberRealEstateLoansOrLines \n",
+ " NumberOfTime60-89DaysPastDueNotWorse \n",
+ " NumberOfDependents \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " count \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
+ " 150000.00 \n",
+ " \n",
+ " \n",
+ " mean \n",
+ " 0.07 \n",
+ " 0.32 \n",
+ " 52.30 \n",
+ " 0.42 \n",
+ " 0.47 \n",
+ " 6142.45 \n",
+ " 8.45 \n",
+ " 0.27 \n",
+ " 1.02 \n",
+ " 0.24 \n",
+ " 0.74 \n",
+ " \n",
+ " \n",
+ " std \n",
+ " 0.25 \n",
+ " 0.35 \n",
+ " 14.77 \n",
+ " 4.19 \n",
+ " 0.36 \n",
+ " 3835.68 \n",
+ " 5.15 \n",
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+ " 1.13 \n",
+ " 4.16 \n",
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+ " \n",
+ " \n",
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+ " 0.00 \n",
+ " 0.00 \n",
+ " 0.00 \n",
+ " 0.00 \n",
+ " \n",
+ " \n",
+ " 25% \n",
+ " 0.00 \n",
+ " 0.03 \n",
+ " 41.00 \n",
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+ " 0.18 \n",
+ " 3903.00 \n",
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+ " 0.00 \n",
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+ " 0.00 \n",
+ " \n",
+ " \n",
+ " 50% \n",
+ " 0.00 \n",
+ " 0.15 \n",
+ " 52.00 \n",
+ " 0.00 \n",
+ " 0.37 \n",
+ " 5400.00 \n",
+ " 8.00 \n",
+ " 0.00 \n",
+ " 1.00 \n",
+ " 0.00 \n",
+ " 0.00 \n",
+ " \n",
+ " \n",
+ " 75% \n",
+ " 0.00 \n",
+ " 0.56 \n",
+ " 63.00 \n",
+ " 0.00 \n",
+ " 0.87 \n",
+ " 7400.00 \n",
+ " 11.00 \n",
+ " 0.00 \n",
+ " 2.00 \n",
+ " 0.00 \n",
+ " 1.00 \n",
+ " \n",
+ " \n",
+ " max \n",
+ " 1.00 \n",
+ " 1.00 \n",
+ " 100.00 \n",
+ " 98.00 \n",
+ " 1.00 \n",
+ " 23000.00 \n",
+ " 58.00 \n",
+ " 98.00 \n",
+ " 54.00 \n",
+ " 98.00 \n",
+ " 20.00 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " SeriousDlqin2yrs RevolvingUtilizationOfUnsecuredLines age \\\n",
+ "count 150000.00 150000.00 150000.00 \n",
+ "mean 0.07 0.32 52.30 \n",
+ "std 0.25 0.35 14.77 \n",
+ "min 0.00 0.00 18.00 \n",
+ "25% 0.00 0.03 41.00 \n",
+ "50% 0.00 0.15 52.00 \n",
+ "75% 0.00 0.56 63.00 \n",
+ "max 1.00 1.00 100.00 \n",
+ "\n",
+ " NumberOfTime30-59DaysPastDueNotWorse DebtRatio MonthlyIncome \\\n",
+ "count 150000.00 150000.00 150000.00 \n",
+ "mean 0.42 0.47 6142.45 \n",
+ "std 4.19 0.36 3835.68 \n",
+ "min 0.00 0.00 0.00 \n",
+ "25% 0.00 0.18 3903.00 \n",
+ "50% 0.00 0.37 5400.00 \n",
+ "75% 0.00 0.87 7400.00 \n",
+ "max 98.00 1.00 23000.00 \n",
+ "\n",
+ " NumberOfOpenCreditLinesAndLoans NumberOfTimes90DaysLate \\\n",
+ "count 150000.00 150000.00 \n",
+ "mean 8.45 0.27 \n",
+ "std 5.15 4.17 \n",
+ "min 0.00 0.00 \n",
+ "25% 5.00 0.00 \n",
+ "50% 8.00 0.00 \n",
+ "75% 11.00 0.00 \n",
+ "max 58.00 98.00 \n",
+ "\n",
+ " NumberRealEstateLoansOrLines NumberOfTime60-89DaysPastDueNotWorse \\\n",
+ "count 150000.00 150000.00 \n",
+ "mean 1.02 0.24 \n",
+ "std 1.13 4.16 \n",
+ "min 0.00 0.00 \n",
+ "25% 0.00 0.00 \n",
+ "50% 1.00 0.00 \n",
+ "75% 2.00 0.00 \n",
+ "max 54.00 98.00 \n",
+ "\n",
+ " NumberOfDependents \n",
+ "count 150000.00 \n",
+ "mean 0.74 \n",
+ "std 1.11 \n",
+ "min 0.00 \n",
+ "25% 0.00 \n",
+ "50% 0.00 \n",
+ "75% 1.00 \n",
+ "max 20.00 "
+ ]
+ },
+ "execution_count": 12,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Tratamiento de valores extremos\n",
+ "\n",
+ "# RevolvingUtilization y DebtRatio como proporciones entre 0 y 1\n",
+ "train['RevolvingUtilizationOfUnsecuredLines'] = train['RevolvingUtilizationOfUnsecuredLines'].clip(0, 1)\n",
+ "train['DebtRatio'] = train['DebtRatio'].clip(0, 1)\n",
+ "\n",
+ "# Age en un rango razonable\n",
+ "train['age'] = train['age'].clip(18, 100)\n",
+ "\n",
+ "# MonthlyIncome: recorte en percentil 99 para reducir el efecto de outliers\n",
+ "cap_income = train['MonthlyIncome'].quantile(0.99)\n",
+ "train['MonthlyIncome'] = train['MonthlyIncome'].clip(0, cap_income)\n",
+ "\n",
+ "print(\"Outliers tratados en variables continuas\")\n",
+ "print(\"\\nEstadísticas después del tratamiento:\")\n",
+ "train.describe().round(2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "04e8d5a0",
+ "metadata": {},
+ "source": [
+ "El tratamiento de outliers se aplicó únicamente a variables continuas donde existían valores claramente extremos o inconsistentes. Las variables de retrasos en pagos se mantuvieron sin modificación, ya que no se cuenta con evidencia suficiente para considerar algunos valores como errores de registro."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "0ff4e13e",
+ "metadata": {},
+ "source": [
+ "### 3.3 Análisis de correlación y selección de características justificadas\n",
+ "\n",
+ "Calculamos la correlación de Pearson entre variables numéricas y observamos su relación con la variable objetivo (**SeriousDlqin2yrs**). \n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "1be01d4b",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Correlación con SeriousDlqin2yrs:\n",
+ "SeriousDlqin2yrs 1.000000\n",
+ "NumberOfTime30-59DaysPastDueNotWorse 0.125587\n",
+ "NumberOfTimes90DaysLate 0.117175\n",
+ "NumberOfTime60-89DaysPastDueNotWorse 0.102261\n",
+ "NumberOfDependents 0.046869\n",
+ "RevolvingUtilizationOfUnsecuredLines -0.001802\n",
+ "NumberRealEstateLoansOrLines -0.007038\n",
+ "DebtRatio -0.007602\n",
+ "MonthlyIncome -0.017151\n",
+ "NumberOfOpenCreditLinesAndLoans -0.029669\n",
+ "age -0.115386\n",
+ "Name: SeriousDlqin2yrs, dtype: float64\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Mapa de calor de correlaciones\n",
+ "plt.figure(figsize=(12, 8))\n",
+ "correlaciones = train.corr()\n",
+ "\n",
+ "sns.heatmap(correlaciones,\n",
+ " annot=True, # muestra los números\n",
+ " fmt='.2f', # 2 decimales\n",
+ " cmap='coolwarm', # azul=negativo, rojo=positivo\n",
+ " center=0,\n",
+ " square=True)\n",
+ "\n",
+ "plt.title('Mapa de Correlaciones', fontsize=14)\n",
+ "plt.tight_layout()\n",
+ "plt.show()\n",
+ "\n",
+ "# Correlaciones con la variable objetivo\n",
+ "print(\"\\nCorrelación con SeriousDlqin2yrs:\")\n",
+ "print(correlaciones['SeriousDlqin2yrs'].sort_values(ascending=False))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "f64323be",
+ "metadata": {},
+ "source": [
+ "Para el análisis se utilizaron únicamente las variables con mayor relación con el incumplimiento (SeriousDlqin2yrs). Dado que las variables de retrasos en pagos presentan correlaciones muy altas entre sí, se decidió no considerar NumberOfTime60-89DaysPastDueNotWorse para evitar redundancia y posibles problemas de multicolinealidad."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "ad52d012",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Variables seleccionadas para modelado:\n",
+ "['RevolvingUtilizationOfUnsecuredLines', 'age', 'NumberOfTime30-59DaysPastDueNotWorse', 'NumberOfTimes90DaysLate', 'DebtRatio', 'MonthlyIncome', 'NumberOfOpenCreditLinesAndLoans', 'NumberRealEstateLoansOrLines', 'NumberOfDependents']\n",
+ "\n",
+ "Dimensiones de X e y: (150000, 9) (150000,)\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Selección justificada de características\n",
+ "variables = [\n",
+ " 'RevolvingUtilizationOfUnsecuredLines',\n",
+ " 'age',\n",
+ " 'NumberOfTime30-59DaysPastDueNotWorse',\n",
+ " 'NumberOfTimes90DaysLate',\n",
+ " 'DebtRatio',\n",
+ " 'MonthlyIncome',\n",
+ " 'NumberOfOpenCreditLinesAndLoans',\n",
+ " 'NumberRealEstateLoansOrLines',\n",
+ " 'NumberOfDependents'\n",
+ "]\n",
+ "\n",
+ "X = train[variables]\n",
+ "y = train['SeriousDlqin2yrs']\n",
+ "\n",
+ "print('Variables seleccionadas para modelado:')\n",
+ "print(variables)\n",
+ "print('\\nDimensiones de X e y:', X.shape, y.shape)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a7b34b7c",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 4. Implementación de Modelos"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "c356c762",
+ "metadata": {},
+ "source": [
+ "### 4.1 Preparación de datos para modelado y validación\n",
+ "Se divide el conjunto de entrenamiento en entrenamiento interno y validación. Además, se aplica al set de `test` la misma lógica de imputación y tratamiento de variables continuas usando parámetros obtenidos en train."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "5405f3fc",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Dimensiones split interno:\n",
+ "X_train: (120000, 9) | X_val: (30000, 9)\n",
+ "\n",
+ "Faltantes:\n",
+ "X_val: 0\n",
+ "X_test: 0\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Variables predictoras y objetivo\n",
+ "X = train[variables].copy()\n",
+ "y = train['SeriousDlqin2yrs'].copy()\n",
+ "\n",
+ "# Split interno para comparar modelos\n",
+ "X_train, X_val, y_train, y_val = train_test_split(\n",
+ " X, y,\n",
+ " test_size=0.2\n",
+ ")\n",
+ "\n",
+ "# Preparación del conjunto test\n",
+ "X_test = test[variables].copy()\n",
+ "\n",
+ "X_test['MonthlyIncome'] = X_test['MonthlyIncome'].fillna(median_monthly_income)\n",
+ "X_test['NumberOfDependents'] = X_test['NumberOfDependents'].fillna(median_dependents)\n",
+ "\n",
+ "# Mismo tratamiento de continuas realizado en train\n",
+ "for df in [X_test]:\n",
+ " df['RevolvingUtilizationOfUnsecuredLines'] = df['RevolvingUtilizationOfUnsecuredLines'].clip(0, 1)\n",
+ " df['DebtRatio'] = df['DebtRatio'].clip(0, 1)\n",
+ " df['age'] = df['age'].clip(18, 100)\n",
+ " df['MonthlyIncome'] = df['MonthlyIncome'].clip(0, cap_income)\n",
+ "\n",
+ "print('Dimensiones split interno:')\n",
+ "print('X_train:', X_train.shape, '| X_val:', X_val.shape)\n",
+ "\n",
+ "print('\\nFaltantes:')\n",
+ "print('X_val:', X_val.isnull().sum().sum())\n",
+ "print('X_test:', X_test.isnull().sum().sum())"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "4b01231b",
+ "metadata": {},
+ "source": [
+ "### 4.2 k-Vecinos más cercanos"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "c057d149",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "===== k-NN con Normalización (MinMax) =====\n",
+ " precision recall f1-score support\n",
+ "\n",
+ " 0 0.94 0.99 0.96 27993\n",
+ " 1 0.36 0.08 0.13 2007\n",
+ "\n",
+ " accuracy 0.93 30000\n",
+ " macro avg 0.65 0.53 0.54 30000\n",
+ "weighted avg 0.90 0.93 0.91 30000\n",
+ "\n",
+ "Matriz de confusión:\n",
+ "[[27716 277]\n",
+ " [ 1853 154]]\n",
+ "ROC-AUC: 0.6602\n"
+ ]
+ }
+ ],
+ "source": [
+ "resultados_modelos = []\n",
+ "\n",
+ "# -----------------------------\n",
+ "# k-NN con Escalamiento (Min-Max)\n",
+ "# -----------------------------\n",
+ "scaler_minmax = MinMaxScaler()\n",
+ "\n",
+ "X_train_minmax = scaler_minmax.fit_transform(X_train)\n",
+ "X_val_minmax = scaler_minmax.transform(X_val)\n",
+ "\n",
+ "knn_minmax = KNeighborsClassifier(n_neighbors=5)\n",
+ "knn_minmax.fit(X_train_minmax, y_train)\n",
+ "\n",
+ "pred_knn_minmax = knn_minmax.predict(X_val_minmax)\n",
+ "proba_knn_minmax = knn_minmax.predict_proba(X_val_minmax)[:, 1]\n",
+ "\n",
+ "auc_knn_minmax = roc_auc_score(y_val, proba_knn_minmax)\n",
+ "\n",
+ "# Guardar resultados\n",
+ "resultados_modelos.append({\n",
+ " \"Modelo\": \"k-NN (MinMax Scaling)\",\n",
+ " \"ROC-AUC\": auc_knn_minmax\n",
+ "})\n",
+ "\n",
+ "# Resultados en pantalla\n",
+ "print(\"\\n===== k-NN con Normalización (MinMax) =====\")\n",
+ "print(classification_report(y_val, pred_knn_minmax))\n",
+ "\n",
+ "print(\"Matriz de confusión:\")\n",
+ "print(confusion_matrix(y_val, pred_knn_minmax))\n",
+ "\n",
+ "print(f\"ROC-AUC: {auc_knn_minmax:.4f}\")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "3ce6fc3d",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "===== k-NN con Estandarización (StandardScaler) =====\n",
+ " precision recall f1-score support\n",
+ "\n",
+ " 0 0.94 0.99 0.96 27993\n",
+ " 1 0.46 0.12 0.19 2007\n",
+ "\n",
+ " accuracy 0.93 30000\n",
+ " macro avg 0.70 0.56 0.58 30000\n",
+ "weighted avg 0.91 0.93 0.91 30000\n",
+ "\n",
+ "Matriz de confusión:\n",
+ "[[27709 284]\n",
+ " [ 1765 242]]\n",
+ "ROC-AUC: 0.6904\n"
+ ]
+ }
+ ],
+ "source": [
+ "# -----------------------------\n",
+ "# k-NN con Estandarización (media y desviación estándar)\n",
+ "# -----------------------------\n",
+ "scaler_std = StandardScaler()\n",
+ "\n",
+ "X_train_std = scaler_std.fit_transform(X_train)\n",
+ "X_val_std = scaler_std.transform(X_val)\n",
+ "\n",
+ "knn_std = KNeighborsClassifier(n_neighbors=5)\n",
+ "knn_std.fit(X_train_std, y_train)\n",
+ "\n",
+ "pred_knn_std = knn_std.predict(X_val_std)\n",
+ "proba_knn_std = knn_std.predict_proba(X_val_std)[:, 1]\n",
+ "\n",
+ "auc_knn_std = roc_auc_score(y_val, proba_knn_std)\n",
+ "\n",
+ "# Guardar resultados\n",
+ "resultados_modelos.append({\n",
+ " \"Modelo\": \"k-NN (Standard Scaling)\",\n",
+ " \"ROC-AUC\": auc_knn_std\n",
+ "})\n",
+ "\n",
+ "# Resultados en pantalla\n",
+ "print(\"\\n===== k-NN con Estandarización (StandardScaler) =====\")\n",
+ "print(classification_report(y_val, pred_knn_std))\n",
+ "\n",
+ "print(\"Matriz de confusión:\")\n",
+ "print(confusion_matrix(y_val, pred_knn_std))\n",
+ "\n",
+ "print(f\"ROC-AUC: {auc_knn_std:.4f}\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "03c512cb",
+ "metadata": {},
+ "source": [
+ "### 4.3 Regresión Logística "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "id": "49a4e758",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Regresión Logística con Estandarización\n",
+ " precision recall f1-score support\n",
+ "\n",
+ " 0 0.93 1.00 0.97 27993\n",
+ " 1 0.45 0.01 0.02 2007\n",
+ "\n",
+ " accuracy 0.93 30000\n",
+ " macro avg 0.69 0.50 0.49 30000\n",
+ "weighted avg 0.90 0.93 0.90 30000\n",
+ "\n",
+ "Matriz de confusión:\n",
+ " [[27966 27]\n",
+ " [ 1985 22]]\n",
+ "ROC-AUC: 0.8025\n"
+ ]
+ }
+ ],
+ "source": [
+ "# -----------------------------\n",
+ "# Regresión Logística con Estandarización (media y desviación estándar)\n",
+ "# -----------------------------\n",
+ "\n",
+ "log_reg = LogisticRegression(max_iter=50000, random_state=123)\n",
+ "log_reg.fit(X_train_std, y_train)\n",
+ "\n",
+ "pred_log = log_reg.predict(X_val_std)\n",
+ "proba_log = log_reg.predict_proba(X_val_std)[:, 1]\n",
+ "auc_log = roc_auc_score(y_val, proba_log)\n",
+ "\n",
+ "resultados_modelos.append({\n",
+ " 'Modelo': 'Regresión Logística con Estandarización',\n",
+ " 'ROC-AUC': auc_log\n",
+ "})\n",
+ "\n",
+ "print('Regresión Logística con Estandarización')\n",
+ "print(classification_report(y_val, pred_log))\n",
+ "print('Matriz de confusión:\\n', confusion_matrix(y_val, pred_log))\n",
+ "print(f'ROC-AUC: {auc_log:.4f}')\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "id": "2de8d035",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Regresión Logística con Escalamiento (Min-Max)\n",
+ " precision recall f1-score support\n",
+ "\n",
+ " 0 0.93 1.00 0.97 27993\n",
+ " 1 0.45 0.01 0.02 2007\n",
+ "\n",
+ " accuracy 0.93 30000\n",
+ " macro avg 0.69 0.50 0.49 30000\n",
+ "weighted avg 0.90 0.93 0.90 30000\n",
+ "\n",
+ "Matriz de confusión:\n",
+ " [[27966 27]\n",
+ " [ 1985 22]]\n",
+ "ROC-AUC: 0.8013\n"
+ ]
+ }
+ ],
+ "source": [
+ "# -----------------------------\n",
+ "# Regresión Logística con Escalamiento (Min-Max)\n",
+ "# -----------------------------\n",
+ "\n",
+ "log_reg = LogisticRegression(max_iter=50000, random_state=123)\n",
+ "log_reg.fit(X_train_minmax, y_train)\n",
+ "\n",
+ "pred_log_minmax = log_reg.predict(X_val_minmax)\n",
+ "proba_log_minmax = log_reg.predict_proba(X_val_minmax)[:, 1]\n",
+ "auc_log_minmax = roc_auc_score(y_val, proba_log_minmax)\n",
+ "\n",
+ "resultados_modelos.append({\n",
+ " 'Modelo': 'Regresión Logística con Escalamiento (Min-Max)',\n",
+ " 'ROC-AUC': auc_log_minmax\n",
+ "})\n",
+ "\n",
+ "print('Regresión Logística con Escalamiento (Min-Max)')\n",
+ "print(classification_report(y_val, pred_log_minmax))\n",
+ "print('Matriz de confusión:\\n', confusion_matrix(y_val, pred_log_minmax))\n",
+ "print(f'ROC-AUC: {auc_log_minmax:.4f}')\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "a3f23596",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Comparación inicial de modelos (validación):\n",
+ " Modelo ROC-AUC\n",
+ "2 Regresión Logística con Estandarización 0.802463\n",
+ "3 Regresión Logística con Escalamiento (Min-Max) 0.801265\n",
+ "1 k-NN (Standard Scaling) 0.690378\n",
+ "0 k-NN (MinMax Scaling) 0.660195\n"
+ ]
+ }
+ ],
+ "source": [
+ "tabla_resultados = pd.DataFrame(resultados_modelos).sort_values('ROC-AUC', ascending=False)\n",
+ "print('Comparación inicial de modelos (validación):')\n",
+ "print(tabla_resultados)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "9ff8868a",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 5. Optimización de Hiperparámetros y Validación\n",
+ "\n",
+ "En esta sección utilizamos **validación cruzada estratificada (StratifiedKFold)** y **Grid Search (GridSearchCV)** para buscar los mejores hiperparámetros de los modelos k-NN y Regresión Logística, usando como métrica principal el **ROC-AUC** debido al desbalance de clases."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "5a2739b2",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.model_selection import StratifiedKFold\n",
+ "from sklearn.pipeline import Pipeline\n",
+ "\n",
+ "# Estrategia de validación cruzada estratificada\n",
+ "cv = StratifiedKFold(n_splits=5, shuffle=True, random_state=123)\n",
+ "\n",
+ "# Pipeline para k-NN con escalado\n",
+ "pipe_knn = Pipeline([\n",
+ " (\"scaler\", StandardScaler()), # el tipo de escalador se ajustará vía grilla\n",
+ " (\"knn\", KNeighborsClassifier())\n",
+ "])\n",
+ "\n",
+ "param_grid_knn = {\n",
+ " \"scaler\": [StandardScaler(), MinMaxScaler()],\n",
+ " \"knn__n_neighbors\": [5, 10, 20],\n",
+ " \"knn__weights\": [\"uniform\", \"distance\"],\n",
+ "}\n",
+ "\n",
+ "grid_knn = GridSearchCV(\n",
+ " estimator=pipe_knn,\n",
+ " param_grid=param_grid_knn,\n",
+ " scoring=\"roc_auc\",\n",
+ " cv=cv,\n",
+ " n_jobs=-1,\n",
+ " verbose=0,\n",
+ ")\n",
+ "\n",
+ "# Ajuste de Grid Search para k-NN sobre todo el conjunto de entrenamiento\n",
+ "grid_knn.fit(X, y)\n",
+ "\n",
+ "print(\"Mejores hiperparámetros k-NN:\")\n",
+ "print(grid_knn.best_params_)\n",
+ "print(f\"Mejor ROC-AUC medio (CV): {grid_knn.best_score_:.4f}\")\n",
+ "\n",
+ "# Tabla resumida de los mejores resultados de k-NN\n",
+ "resultados_knn_cv = (\n",
+ " pd.DataFrame(grid_knn.cv_results_)\n",
+ " .sort_values(\"mean_test_score\", ascending=False)[\n",
+ " [\"params\", \"mean_test_score\", \"std_test_score\"]\n",
+ " ]\n",
+ " .head(10)\n",
+ ")\n",
+ "resultados_knn_cv"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "f9031e95",
+ "metadata": {},
+ "source": [
+ "### 5.1 Grid Search para Regresión Logística\n",
+ "\n",
+ "A continuación optimizamos una **Regresión Logística** usando un `Pipeline` con `StandardScaler` y explorando distintos valores de `C` y del parámetro `class_weight`. Usamos nuevamente validación cruzada estratificada y **ROC-AUC** como métrica principal."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "85413737",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Grid Search para Regresión Logística con StandardScaler\n",
+ "\n",
+ "pipe_log = Pipeline([\n",
+ " (\"scaler\", StandardScaler()),\n",
+ " (\"logreg\", LogisticRegression(max_iter=50000, random_state=123))\n",
+ "])\n",
+ "\n",
+ "param_grid_log = {\n",
+ " \"logreg__C\": [0.1, 1.0, 10.0],\n",
+ " \"logreg__class_weight\": [None, \"balanced\"],\n",
+ "}\n",
+ "\n",
+ "grid_log = GridSearchCV(\n",
+ " estimator=pipe_log,\n",
+ " param_grid=param_grid_log,\n",
+ " scoring=\"roc_auc\",\n",
+ " cv=cv,\n",
+ " n_jobs=-1,\n",
+ " verbose=0,\n",
+ ")\n",
+ "\n",
+ "grid_log.fit(X, y)\n",
+ "\n",
+ "print(\"Mejores hiperparámetros Regresión Logística:\")\n",
+ "print(grid_log.best_params_)\n",
+ "print(f\"Mejor ROC-AUC medio (CV): {grid_log.best_score_:.4f}\")\n",
+ "\n",
+ "resultados_log_cv = (\n",
+ " pd.DataFrame(grid_log.cv_results_)\n",
+ " .sort_values(\"mean_test_score\", ascending=False)[\n",
+ " [\"params\", \"mean_test_score\", \"std_test_score\"]\n",
+ " ]\n",
+ " .head(10)\n",
+ ")\n",
+ "resultados_log_cv"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "c258bac3",
+ "metadata": {},
+ "source": [
+ "### 5.2 Comparación de modelos tras validación cruzada\n",
+ "\n",
+ "A partir de los resultados de `GridSearchCV`, comparamos los **mejores modelos** de k-NN y Regresión Logística según el ROC-AUC medio de validación cruzada. Esto nos permite elegir un **modelo final** para el resto del análisis."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "900b204c",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Resumen comparativo de modelos después de Grid Search\n",
+ "\n",
+ "mejor_auc_knn = grid_knn.best_score_\n",
+ "mejor_auc_log = grid_log.best_score_\n",
+ "\n",
+ "resumen_modelos_cv = pd.DataFrame([\n",
+ " {\"Modelo\": \"k-NN (mejor configuración CV)\", \"ROC_AUC_CV\": mejor_auc_knn},\n",
+ " {\"Modelo\": \"Regresión Logística (mejor configuración CV)\", \"ROC_AUC_CV\": mejor_auc_log},\n",
+ "])\n",
+ "\n",
+ "print(\"Comparación de modelos (ROC-AUC medio en CV):\")\n",
+ "resumen_modelos_cv"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "9f252bd0",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 6. Métricas de Evaluación y Decisión\n",
+ "\n",
+ "En esta sección tomamos como **modelo final** la Regresión Logística con la mejor configuración encontrada en la sección 5 y:\n",
+ "\n",
+ "- Evaluamos sus métricas en un conjunto de validación (accuracy, precision, recall, F1, matriz de confusión y ROC-AUC).\n",
+ "- Analizamos la **curva ROC**.\n",
+ "- Realizamos un **análisis de umbral** considerando distintos costos para Falsos Positivos (FP) y Falsos Negativos (FN), para proponer un umbral de decisión adecuado para riesgo crediticio."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "08b36606",
+ "metadata": {},
+ "source": [
+ "### 6.1 Métricas del modelo final en el conjunto de validación\n",
+ "\n",
+ "Usamos el split `X_train`, `X_val`, `y_train`, `y_val` definido anteriormente para evaluar el modelo de Regresión Logística con los mejores hiperparámetros obtenidos por Grid Search."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "e3b0a09a",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Ajuste del modelo final (Regresión Logística óptima) en el conjunto de entrenamiento interno\n",
+ "\n",
+ "best_log_model = grid_log.best_estimator_\n",
+ "\n",
+ "best_log_model.fit(X_train, y_train)\n",
+ "\n",
+ "proba_val = best_log_model.predict_proba(X_val)[:, 1]\n",
+ "pred_val_05 = (proba_val >= 0.5).astype(int)\n",
+ "\n",
+ "from sklearn.metrics import roc_curve, roc_auc_score\n",
+ "\n",
+ "print(\"Métricas con umbral 0.5 (Regresión Logística óptima):\")\n",
+ "print(classification_report(y_val, pred_val_05))\n",
+ "print(\"Matriz de confusión:\\n\", confusion_matrix(y_val, pred_val_05))\n",
+ "print(f\"ROC-AUC (val): {roc_auc_score(y_val, proba_val):.4f}\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "88d4d613",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Curva ROC del modelo final\n",
+ "\n",
+ "fpr, tpr, thresholds = roc_curve(y_val, proba_val)\n",
+ "auc_val = roc_auc_score(y_val, proba_val)\n",
+ "\n",
+ "plt.figure(figsize=(6, 5))\n",
+ "plt.plot(fpr, tpr, label=f\"ROC (AUC = {auc_val:.3f})\")\n",
+ "plt.plot([0, 1], [0, 1], \"k--\", alpha=0.6)\n",
+ "plt.xlabel(\"Tasa de Falsos Positivos (FPR)\")\n",
+ "plt.ylabel(\"Tasa de Verdaderos Positivos (TPR)\")\n",
+ "plt.title(\"Curva ROC - Regresión Logística (validación)\")\n",
+ "plt.legend(loc=\"lower right\")\n",
+ "plt.grid(alpha=0.3)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "97ebb85d",
+ "metadata": {},
+ "source": [
+ "### 6.2 Análisis de umbral (threshold) basado en costo\n",
+ "\n",
+ "En riesgo crediticio, típicamente un **Falso Negativo (FN)** (clasificar como “no riesgoso” a alguien que sí incumple) es más costoso que un **Falso Positivo (FP)** (clasificar como riesgoso a alguien que realmente pagaría). Para reflejar esto, definimos un esquema simple de costos:\n",
+ "\n",
+ "- Costo(FN) = 5\n",
+ "- Costo(FP) = 1\n",
+ "\n",
+ "Luego barrimos distintos umbrales \\(t\\) sobre la probabilidad estimada \\(\\hat{p}\\) y calculamos el costo total \\(5\\cdot FN + 1\\cdot FP\\)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "5fa62b89",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Barrido de umbrales con costos FN/FP\n",
+ "\n",
+ "costo_FN = 5\n",
+ "costo_FP = 1\n",
+ "\n",
+ "umbrales = np.linspace(0.05, 0.95, 19)\n",
+ "\n",
+ "rows = []\n",
+ "for t in umbrales:\n",
+ " pred_t = (proba_val >= t).astype(int)\n",
+ " tn, fp, fn, tp = confusion_matrix(y_val, pred_t).ravel()\n",
+ "\n",
+ " precision_1 = tp / (tp + fp) if (tp + fp) > 0 else 0.0\n",
+ " recall_1 = tp / (tp + fn) if (tp + fn) > 0 else 0.0\n",
+ "\n",
+ " costo_total = costo_FN * fn + costo_FP * fp\n",
+ "\n",
+ " rows.append({\n",
+ " \"umbral\": float(t),\n",
+ " \"TP\": int(tp),\n",
+ " \"FP\": int(fp),\n",
+ " \"TN\": int(tn),\n",
+ " \"FN\": int(fn),\n",
+ " \"precision_clase1\": precision_1,\n",
+ " \"recall_clase1\": recall_1,\n",
+ " \"costo_total\": int(costo_total),\n",
+ " })\n",
+ "\n",
+ "tabla_umbral = pd.DataFrame(rows).sort_values(\"costo_total\")\n",
+ "\n",
+ "print(\"Top 10 umbrales con menor costo total:\")\n",
+ "tabla_umbral.head(10)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "38ca55dc",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Visualización del costo total vs umbral\n",
+ "\n",
+ "tabla_plot = pd.DataFrame(rows).sort_values(\"umbral\")\n",
+ "\n",
+ "best_row = tabla_plot.loc[tabla_plot[\"costo_total\"].idxmin()]\n",
+ "best_t = best_row[\"umbral\"]\n",
+ "\n",
+ "plt.figure(figsize=(7, 4))\n",
+ "plt.plot(tabla_plot[\"umbral\"], tabla_plot[\"costo_total\"], marker=\"o\")\n",
+ "plt.axvline(best_t, color=\"red\", linestyle=\"--\", alpha=0.7, label=f\"Mejor umbral: {best_t:.2f}\")\n",
+ "plt.xlabel(\"Umbral\")\n",
+ "plt.ylabel(\"Costo total (5·FN + 1·FP)\")\n",
+ "plt.title(\"Costo vs Umbral - Modelo final (validación)\")\n",
+ "plt.grid(alpha=0.3)\n",
+ "plt.legend()\n",
+ "plt.show()\n",
+ "\n",
+ "print(f\"Umbral recomendado (mínimo costo): {best_t:.2f}\")\n",
+ "best_row"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "2be98251",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Métricas del modelo final con el umbral recomendado\n",
+ "\n",
+ "pred_val_best = (proba_val >= best_t).astype(int)\n",
+ "\n",
+ "print(f\"Métricas con umbral recomendado t={best_t:.2f}:\")\n",
+ "print(classification_report(y_val, pred_val_best))\n",
+ "print(\"Matriz de confusión:\\n\", confusion_matrix(y_val, pred_val_best))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "c6ca88a4",
+ "metadata": {},
+ "source": [
+ " \n",
+ "## 7. Predicción en el conjunto de test\n",
+ "\n",
+ "Entrenamos el **modelo final** (Regresión Logística con hiperparámetros óptimos) usando **todo el conjunto de entrenamiento** y generamos probabilidades para el conjunto `test`.\n",
+ "\n",
+ "Finalmente, construimos un archivo tipo *submission* con el formato de `sampleEntry.csv` (`Id`, `Probability`)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "e1c82129",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Entrenar modelo final con todos los datos y predecir en test\n",
+ "\n",
+ "modelo_final = grid_log.best_estimator_\n",
+ "modelo_final.fit(X, y)\n",
+ "\n",
+ "proba_test = modelo_final.predict_proba(X_test)[:, 1]\n",
+ "\n",
+ "# Construcción del DataFrame de envío\n",
+ "submission = pd.DataFrame({\n",
+ " \"Id\": test.index + 1,\n",
+ " \"Probability\": proba_test,\n",
+ "})\n",
+ "\n",
+ "submission.head()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "b13b1664",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# (Opcional) Guardar submission en disco\n",
+ "\n",
+ "import os\n",
+ "\n",
+ "os.makedirs(\"../output\", exist_ok=True)\n",
+ "output_path = \"../output/submission_logistic.csv\"\n",
+ "submission.to_csv(output_path, index=False)\n",
+ "print(f\"Archivo guardado en: {output_path}\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "4d3047f1",
+ "metadata": {},
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.12.4"
}
- ],
- "source": [
- "# Cargamos el dataset\n",
- "\n",
- "train = pd.read_csv(\"../input/cs-training.csv\")\n",
- "test = pd.read_csv(\"../input/cs-test.csv\")\n",
- "\n",
- "# ver primeras filas\n",
- "train.info()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "099d50cc",
- "metadata": {},
- "source": [
- "### 2.1 Descripción de las variables\n",
- "\n",
- "- **SeriousDlqin2yrs:** Indica si la persona ha tenido una morosidad grave, es decir, un atraso de 90 días o más en el pago de sus obligaciones durante los últimos dos años. Es la variable objetivo del modelo.\n",
- "\n",
- "- **RevolvingUtilizationOfUnsecuredLines:** Proporción del saldo utilizado en tarjetas de crédito y líneas de crédito personales respecto al límite total disponible.\n",
- "\n",
- "- **age:** Edad del solicitante del crédito expresada en años.\n",
- "\n",
- "- **NumberOfTime30-59DaysPastDueNotWorse:** Número de veces que el prestatario ha tenido retrasos en sus pagos entre 30 y 59 días durante los últimos dos años.\n",
- "\n",
- "- **DebtRatio:** Relación entre las obligaciones financieras mensuales (deudas, manutención, gastos) y el ingreso bruto mensual del prestatario.\n",
- "\n",
- "- **MonthlyIncome:** Ingreso mensual reportado por el prestatario.\n",
- "\n",
- "- **NumberOfOpenCreditLinesAndLoans:** Número total de préstamos y líneas de crédito abiertas, como tarjetas de crédito, préstamos de auto o hipotecas.\n",
- "\n",
- "- **NumberOfTimes90DaysLate:** Número de veces que el prestatario ha tenido retrasos en pagos de 90 días o más.\n",
- "\n",
- "- **NumberRealEstateLoansOrLines:** Número de préstamos relacionados con bienes raíces, incluyendo hipotecas y líneas de crédito sobre vivienda.\n",
- "\n",
- "- **NumberOfTime60-89DaysPastDueNotWorse:** Número de veces que el prestatario ha tenido retrasos en pagos entre 60 y 89 días en los últimos dos años.\n",
- "\n",
- "- **NumberOfDependents:** Número de personas dependientes económicamente del prestatario, como hijos o cónyuge."
- ]
- },
- {
- "cell_type": "markdown",
- "id": "e0f4e7e7",
- "metadata": {},
- "source": [
- " \n",
- "## 3. Análisis Exploratorio de Datos (EDA)"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "a7b34b7c",
- "metadata": {},
- "source": [
- " \n",
- "## 4. Implementación de Modelos"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "8a6ec5ff",
- "metadata": {},
- "source": [
- " \n",
- "## 5. Optimización de Hiperparámetros y Validación"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "105fa98a",
- "metadata": {},
- "source": [
- " \n",
- "## 6. Métricas de Evaluación y Decisión"
- ]
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "Python 3",
- "language": "python",
- "name": "python3"
},
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.12.4"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 5
+ "nbformat": 4,
+ "nbformat_minor": 5
}