1109 lines
660 KiB
Plaintext
1109 lines
660 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Práctica: Regresión Lineal con una Variable\n",
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"\n",
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"## 🎯 Objetivos del laboratorio\n",
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"\n",
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"En este notebook implementarás **regresión lineal univariable desde cero**. Al finalizar serás capaz de:\n",
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"\n",
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"- Implementar la función del modelo lineal $f_{w,b}(x) = wx + b$\n",
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"- Calcular la función de costo $J(w,b)$\n",
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"- Calcular el gradiente $\\frac{\\partial J}{\\partial w}$ y $\\frac{\\partial J}{\\partial b}$\n",
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"- Implementar el algoritmo de descenso de gradiente\n",
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"- Visualizar el proceso de entrenamiento y hacer predicciones\n",
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"\n",
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"## 📌 Indicaciones importantes\n",
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"\n",
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"- En cada celda con `### TU CÓDIGO AQUÍ ###` debes completar la implementación.\n",
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"- **No uses operaciones vectorizadas** (operaciones de NumPy sobre arreglos completos). Usa **ciclos `for` explícitos**.\n",
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"- Lee con cuidado las pistas y los comentarios antes de implementar.\n",
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"- Después de cada implementación hay una celda de prueba que valida tu código.\n",
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"- Si una celda falla, revisa tu código antes de continuar (las funciones siguientes dependen de las anteriores)."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## 1. Configuración inicial\n",
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"\n",
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"Empezamos importando las librerías necesarias. Solo usaremos NumPy para almacenar los datos y para hacer las gráficas (no para vectorizar operaciones)."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 62,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"import math\n",
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"\n",
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"# Configuración estética para las gráficas\n",
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"plt.rcParams['figure.figsize'] = (8, 5)\n",
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"plt.rcParams['font.size'] = 11"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## 2. Planteamiento del problema\n",
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"\n",
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"Trabajaremos con un conjunto de datos sobre **años de experiencia laboral** y **salario mensual** (en miles de quetzales) de profesionales en tecnología.\n",
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"\n",
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"Nuestro objetivo es ajustar un modelo de regresión lineal que nos permita **predecir el salario esperado** dado los años de experiencia de un profesional.\n",
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"\n",
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"### Notación que usaremos\n",
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"\n",
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"| Símbolo | Descripción |\n",
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"|---------|-------------|\n",
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"| $x^{(i)}$ | Años de experiencia del ejemplo $i$ |\n",
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"| $y^{(i)}$ | Salario (en miles de Q) del ejemplo $i$ |\n",
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"| $m$ | Cantidad total de ejemplos |\n",
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"| $w$ | Pendiente del modelo (parámetro) |\n",
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"| $b$ | Intercepto del modelo (parámetro) |"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 63,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Cantidad de ejemplos de entrenamiento: m = 10\n",
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"\n",
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"Datos:\n",
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" x^(0) = 1.0 años → y^(0) = 3.50 miles de Q\n",
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" x^(1) = 2.0 años → y^(1) = 4.20 miles de Q\n",
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" x^(2) = 3.0 años → y^(2) = 5.00 miles de Q\n",
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" x^(3) = 4.0 años → y^(3) = 5.80 miles de Q\n",
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" x^(4) = 5.0 años → y^(4) = 6.50 miles de Q\n",
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" x^(5) = 6.0 años → y^(5) = 7.10 miles de Q\n",
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" x^(6) = 7.0 años → y^(6) = 7.90 miles de Q\n",
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" x^(7) = 8.0 años → y^(7) = 8.60 miles de Q\n",
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" x^(8) = 9.0 años → y^(8) = 9.30 miles de Q\n",
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" x^(9) = 10.0 años → y^(9) = 10.10 miles de Q\n"
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]
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}
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],
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"source": [
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"# Datos de entrenamiento\n",
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"# x_train: años de experiencia\n",
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"# y_train: salario en miles de quetzales\n",
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"\n",
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"x_train = np.array([1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0])\n",
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"y_train = np.array([3.5, 4.2, 5.0, 5.8, 6.5, 7.1, 7.9, 8.6, 9.3, 10.1])\n",
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"\n",
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"m = len(x_train)\n",
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"print(f'Cantidad de ejemplos de entrenamiento: m = {m}')\n",
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"print('\\nDatos:')\n",
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"for i in range(m):\n",
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" print(f' x^({i}) = {x_train[i]:5.1f} años → y^({i}) = {y_train[i]:5.2f} miles de Q')"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Visualización inicial de los datos\n",
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"\n",
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"Antes de modelar cualquier cosa, **siempre conviene mirar los datos**."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 64,
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"metadata": {},
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"outputs": [
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{
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"data": {
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",
|
||
"text/plain": [
|
||
"<Figure size 800x500 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"💭 ¿Se ve una relación lineal? ¿Tiene sentido modelar esto con una recta?\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.scatter(x_train, y_train, marker='x', c='red', s=80, label='Datos reales')\n",
|
||
"plt.title('Salario vs. Años de experiencia')\n",
|
||
"plt.xlabel('Años de experiencia')\n",
|
||
"plt.ylabel('Salario (miles de Q)')\n",
|
||
"plt.legend()\n",
|
||
"plt.grid(True, alpha=0.3)\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"print('💭 ¿Se ve una relación lineal? ¿Tiene sentido modelar esto con una recta?')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 3. Función del modelo\n",
|
||
"\n",
|
||
"El modelo de regresión lineal univariable se define como:\n",
|
||
"\n",
|
||
"$$f_{w,b}(x) = wx + b$$\n",
|
||
"\n",
|
||
"Donde:\n",
|
||
"- $w$ es la **pendiente** (cuánto aumenta $y$ por cada unidad de $x$).\n",
|
||
"- $b$ es el **intercepto** (valor de $y$ cuando $x = 0$).\n",
|
||
"\n",
|
||
"### ✏️ Ejercicio 1: Implementa `compute_model_output`\n",
|
||
"\n",
|
||
"Implementa la función que calcula las predicciones del modelo para **todos** los ejemplos de $x$.\n",
|
||
"\n",
|
||
"Para cada ejemplo $i$ debes calcular:\n",
|
||
"\n",
|
||
"$$f_{w,b}(x^{(i)}) = w \\cdot x^{(i)} + b$$\n",
|
||
"\n",
|
||
"🔁 **Recordatorio:** usa un ciclo `for`, no operaciones vectorizadas."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 65,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"def compute_model_output(x, w, b):\n",
|
||
" \"\"\"\n",
|
||
" Calcula la predicción del modelo lineal para cada ejemplo.\n",
|
||
"\n",
|
||
" Args:\n",
|
||
" x (ndarray): Arreglo con m ejemplos de entrada\n",
|
||
" w (float): Parámetro del modelo (pendiente)\n",
|
||
" b (float): Parámetro del modelo (intercepto)\n",
|
||
"\n",
|
||
" Returns:\n",
|
||
" f_wb (ndarray): Predicciones del modelo para cada x[i]\n",
|
||
" \"\"\"\n",
|
||
" m = len(x)\n",
|
||
" f_wb = np.zeros(m)\n",
|
||
"\n",
|
||
" ### TU CÓDIGO AQUÍ ### (≈ 2 líneas)\n",
|
||
" # Pista 1: itera sobre los m ejemplos con un ciclo for\n",
|
||
" # Pista 2: para cada i, calcula f_wb[i] = w * x[i] + b\n",
|
||
" for i in range(m):\n",
|
||
" f_wb[i] = w * x[i] + b\n",
|
||
"\n",
|
||
"\n",
|
||
" ### FIN DEL CÓDIGO ###\n",
|
||
"\n",
|
||
" return f_wb"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 66,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Predicciones obtenidas:\n",
|
||
" f_wb(1.0) = 3.70\n",
|
||
" f_wb(2.0) = 4.40\n",
|
||
" f_wb(3.0) = 5.10\n",
|
||
" f_wb(4.0) = 5.80\n",
|
||
" f_wb(5.0) = 6.50\n",
|
||
" f_wb(6.0) = 7.20\n",
|
||
" f_wb(7.0) = 7.90\n",
|
||
" f_wb(8.0) = 8.60\n",
|
||
" f_wb(9.0) = 9.30\n",
|
||
" f_wb(10.0) = 10.00\n",
|
||
"\n",
|
||
"✅ ¡Correcto! Tu función trabaja como se esperaba.\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# 🧪 Probemos tu implementación con valores conocidos\n",
|
||
"w_prueba = 0.7\n",
|
||
"b_prueba = 3.0\n",
|
||
"\n",
|
||
"predicciones = compute_model_output(x_train, w_prueba, b_prueba)\n",
|
||
"\n",
|
||
"print('Predicciones obtenidas:')\n",
|
||
"for i in range(m):\n",
|
||
" print(f' f_wb({x_train[i]:.1f}) = {predicciones[i]:.2f}')\n",
|
||
"\n",
|
||
"# Validación automática\n",
|
||
"esperado = np.array([3.7, 4.4, 5.1, 5.8, 6.5, 7.2, 7.9, 8.6, 9.3, 10.0])\n",
|
||
"if np.allclose(predicciones, esperado):\n",
|
||
" print('\\n✅ ¡Correcto! Tu función trabaja como se esperaba.')\n",
|
||
"else:\n",
|
||
" print('\\n❌ Las predicciones no coinciden con lo esperado. Revisa tu implementación.')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 67,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
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",
|
||
"text/plain": [
|
||
"<Figure size 800x500 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"🤔 ¿Crees que estos valores de w y b son los óptimos?\n",
|
||
"Necesitamos una forma de medir qué tan bueno es el modelo: la función de costo.\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# Visualicemos las predicciones junto con los datos reales\n",
|
||
"plt.scatter(x_train, y_train, marker='x', c='red', s=80, label='Datos reales')\n",
|
||
"plt.plot(x_train, predicciones, c='blue', label=f'Modelo: w={w_prueba}, b={b_prueba}')\n",
|
||
"plt.title('Predicciones del modelo vs. datos reales')\n",
|
||
"plt.xlabel('Años de experiencia')\n",
|
||
"plt.ylabel('Salario (miles de Q)')\n",
|
||
"plt.legend()\n",
|
||
"plt.grid(True, alpha=0.3)\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"print('🤔 ¿Crees que estos valores de w y b son los óptimos?')\n",
|
||
"print('Necesitamos una forma de medir qué tan bueno es el modelo: la función de costo.')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 4. Función de costo\n",
|
||
"\n",
|
||
"La **función de costo** mide qué tan lejos están las predicciones del modelo de los valores reales. Para regresión lineal usamos el **error cuadrático medio**:\n",
|
||
"\n",
|
||
"$$J(w,b) = \\frac{1}{2m} \\sum_{i=0}^{m-1} \\left( f_{w,b}(x^{(i)}) - y^{(i)} \\right)^2$$\n",
|
||
"\n",
|
||
"Donde:\n",
|
||
"- $f_{w,b}(x^{(i)}) - y^{(i)}$ es el **error** del ejemplo $i$.\n",
|
||
"- Elevamos al cuadrado para que los errores positivos y negativos no se cancelen.\n",
|
||
"- Dividimos entre $2m$ (el 2 es por conveniencia matemática, simplifica las derivadas).\n",
|
||
"\n",
|
||
"### ✏️ Ejercicio 2: Implementa `compute_cost`\n",
|
||
"\n",
|
||
"Sigue estos pasos:\n",
|
||
"1. Inicializa `cost_sum = 0`\n",
|
||
"2. Para cada ejemplo $i$:\n",
|
||
" - Calcula la predicción: `f_wb_i = w * x[i] + b`\n",
|
||
" - Calcula el error al cuadrado: `(f_wb_i - y[i]) ** 2`\n",
|
||
" - Acumula ese valor en `cost_sum`\n",
|
||
"3. Al salir del ciclo, divide `cost_sum` entre $2m$"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 68,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"def compute_cost(x, y, w, b):\n",
|
||
" \"\"\"\n",
|
||
" Calcula el costo (error cuadrático medio dividido entre 2)\n",
|
||
" para los parámetros w y b dados.\n",
|
||
"\n",
|
||
" Args:\n",
|
||
" x (ndarray): Arreglo con m ejemplos de entrada\n",
|
||
" y (ndarray): Arreglo con m valores objetivo\n",
|
||
" w (float): Parámetro del modelo (pendiente)\n",
|
||
" b (float): Parámetro del modelo (intercepto)\n",
|
||
"\n",
|
||
" Returns:\n",
|
||
" total_cost (float): El valor del costo J(w,b)\n",
|
||
" \"\"\"\n",
|
||
" m = len(x)\n",
|
||
" cost_sum = 0\n",
|
||
"\n",
|
||
" ### TU CÓDIGO AQUÍ ### (≈ 4 líneas)\n",
|
||
" # Pista 1: itera sobre los m ejemplos con un ciclo for\n",
|
||
" # Pista 2: en cada iteración:\n",
|
||
" # - calcula la predicción: f_wb_i = w * x[i] + b\n",
|
||
" # - calcula el error al cuadrado: (f_wb_i - y[i]) ** 2\n",
|
||
" # - súmalo a cost_sum\n",
|
||
" for i in range(m):\n",
|
||
" f_wb_i = w * x[i] + b\n",
|
||
" cost_sum += (f_wb_i - y[i]) ** 2\n",
|
||
"\n",
|
||
"\n",
|
||
" ### FIN DEL CÓDIGO ###\n",
|
||
"\n",
|
||
" total_cost = cost_sum / (2 * m)\n",
|
||
" return total_cost"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 69,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Costo con w=0.7, b=3.0: 0.0055\n",
|
||
"Costo con w=0.0, b=0.0: 25.3030\n",
|
||
"Costo con w=1.0, b=5.0: 7.1530\n",
|
||
"\n",
|
||
"✅ ¡Tu función de costo trabaja correctamente!\n",
|
||
"💡 Observa cómo el costo es muy bajo cuando w y b están cerca del óptimo,\n",
|
||
" y muy alto cuando están lejos (como con w=0, b=0).\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# 🧪 Probemos tu función de costo con varios valores de w y b\n",
|
||
"costo_1 = compute_cost(x_train, y_train, 0.7, 3.0)\n",
|
||
"print(f'Costo con w=0.7, b=3.0: {costo_1:.4f}')\n",
|
||
"\n",
|
||
"costo_2 = compute_cost(x_train, y_train, 0.0, 0.0)\n",
|
||
"print(f'Costo con w=0.0, b=0.0: {costo_2:.4f}')\n",
|
||
"\n",
|
||
"costo_3 = compute_cost(x_train, y_train, 1.0, 5.0)\n",
|
||
"print(f'Costo con w=1.0, b=5.0: {costo_3:.4f}')\n",
|
||
"\n",
|
||
"# Validación automática\n",
|
||
"if math.isclose(costo_1, 0.0055, abs_tol=1e-3) and math.isclose(costo_2, 25.303, abs_tol=1e-2):\n",
|
||
" print('\\n✅ ¡Tu función de costo trabaja correctamente!')\n",
|
||
" print('💡 Observa cómo el costo es muy bajo cuando w y b están cerca del óptimo,')\n",
|
||
" print(' y muy alto cuando están lejos (como con w=0, b=0).')\n",
|
||
"else:\n",
|
||
" print('\\n❌ Los valores no coinciden con los esperados. Revisa tu implementación.')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 5. Cálculo del gradiente\n",
|
||
"\n",
|
||
"Para minimizar la función de costo necesitamos sus derivadas parciales respecto a $w$ y $b$:\n",
|
||
"\n",
|
||
"$$\\frac{\\partial J(w,b)}{\\partial w} = \\frac{1}{m} \\sum_{i=0}^{m-1} \\left( f_{w,b}(x^{(i)}) - y^{(i)} \\right) x^{(i)}$$\n",
|
||
"\n",
|
||
"$$\\frac{\\partial J(w,b)}{\\partial b} = \\frac{1}{m} \\sum_{i=0}^{m-1} \\left( f_{w,b}(x^{(i)}) - y^{(i)} \\right)$$\n",
|
||
"\n",
|
||
"Estas derivadas indican **en qué dirección y con qué magnitud** debemos modificar $w$ y $b$ para reducir el costo.\n",
|
||
"\n",
|
||
"### ✏️ Ejercicio 3: Implementa `compute_gradient`\n",
|
||
"\n",
|
||
"Sigue estos pasos:\n",
|
||
"1. Inicializa `dj_dw = 0` y `dj_db = 0`\n",
|
||
"2. Para cada ejemplo $i$:\n",
|
||
" - Calcula la predicción: `f_wb_i = w * x[i] + b`\n",
|
||
" - Calcula el error: `error_i = f_wb_i - y[i]`\n",
|
||
" - Acumula `error_i * x[i]` en `dj_dw`\n",
|
||
" - Acumula `error_i` en `dj_db`\n",
|
||
"3. Al salir del ciclo, divide ambas sumas entre $m$"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 70,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"def compute_gradient(x, y, w, b):\n",
|
||
" \"\"\"\n",
|
||
" Calcula el gradiente de la función de costo respecto a w y b.\n",
|
||
"\n",
|
||
" Args:\n",
|
||
" x (ndarray): Arreglo con m ejemplos de entrada\n",
|
||
" y (ndarray): Arreglo con m valores objetivo\n",
|
||
" w (float): Parámetro del modelo (pendiente)\n",
|
||
" b (float): Parámetro del modelo (intercepto)\n",
|
||
"\n",
|
||
" Returns:\n",
|
||
" dj_dw (float): Derivada parcial del costo respecto a w\n",
|
||
" dj_db (float): Derivada parcial del costo respecto a b\n",
|
||
" \"\"\"\n",
|
||
" m = len(x)\n",
|
||
" dj_dw = 0\n",
|
||
" dj_db = 0\n",
|
||
"\n",
|
||
" ### TU CÓDIGO AQUÍ ### (≈ 5 líneas)\n",
|
||
" # Pista 1: itera sobre los m ejemplos con un ciclo for\n",
|
||
" # Pista 2: en cada iteración:\n",
|
||
" # - calcula la predicción: f_wb_i = w * x[i] + b\n",
|
||
" # - calcula el error: error_i = f_wb_i - y[i]\n",
|
||
" # - acumula error_i * x[i] en dj_dw\n",
|
||
" # - acumula error_i en dj_db\n",
|
||
" for i in range(m):\n",
|
||
" f_wb_i = w * x[i] + b\n",
|
||
" error_i = f_wb_i - y[i]\n",
|
||
" dj_dw += error_i * x[i]\n",
|
||
" dj_db += error_i\n",
|
||
"\n",
|
||
"\n",
|
||
" ### FIN DEL CÓDIGO ###\n",
|
||
"\n",
|
||
" dj_dw = dj_dw / m\n",
|
||
" dj_db = dj_db / m\n",
|
||
"\n",
|
||
" return dj_dw, dj_db"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 71,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Gradiente con w=0, b=0:\n",
|
||
" dj_dw = -43.4000\n",
|
||
" dj_db = -6.8000\n",
|
||
"\n",
|
||
"Gradiente con w=0.727, b=2.81 (cerca del óptimo):\n",
|
||
" dj_dw = 0.0445\n",
|
||
" dj_db = 0.0085\n",
|
||
"\n",
|
||
"✅ ¡Tu función de gradiente trabaja correctamente!\n",
|
||
"💡 Nota: cerca del óptimo los gradientes son MUY pequeños (cercanos a 0).\n",
|
||
" Esto indica que ya casi no hay forma de mejorar el modelo.\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# 🧪 Probemos tu función de gradiente\n",
|
||
"dj_dw_1, dj_db_1 = compute_gradient(x_train, y_train, 0.0, 0.0)\n",
|
||
"print(f'Gradiente con w=0, b=0:')\n",
|
||
"print(f' dj_dw = {dj_dw_1:.4f}')\n",
|
||
"print(f' dj_db = {dj_db_1:.4f}')\n",
|
||
"\n",
|
||
"dj_dw_2, dj_db_2 = compute_gradient(x_train, y_train, 0.727, 2.81)\n",
|
||
"print(f'\\nGradiente con w=0.727, b=2.81 (cerca del óptimo):')\n",
|
||
"print(f' dj_dw = {dj_dw_2:.4f}')\n",
|
||
"print(f' dj_db = {dj_db_2:.4f}')\n",
|
||
"\n",
|
||
"# Validación automática\n",
|
||
"if math.isclose(dj_dw_1, -43.4, abs_tol=0.1) and math.isclose(dj_db_1, -6.8, abs_tol=0.1):\n",
|
||
" print('\\n✅ ¡Tu función de gradiente trabaja correctamente!')\n",
|
||
" print('💡 Nota: cerca del óptimo los gradientes son MUY pequeños (cercanos a 0).')\n",
|
||
" print(' Esto indica que ya casi no hay forma de mejorar el modelo.')\n",
|
||
"else:\n",
|
||
" print('\\n❌ Los valores no coinciden con los esperados. Revisa tu implementación.')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 6. Descenso de gradiente\n",
|
||
"\n",
|
||
"El algoritmo de descenso de gradiente actualiza los parámetros iterativamente:\n",
|
||
"\n",
|
||
"$$w := w - \\alpha \\frac{\\partial J(w,b)}{\\partial w}$$\n",
|
||
"\n",
|
||
"$$b := b - \\alpha \\frac{\\partial J(w,b)}{\\partial b}$$\n",
|
||
"\n",
|
||
"Donde $\\alpha$ (alpha) es la **tasa de aprendizaje** (learning rate). En cada iteración:\n",
|
||
"1. Calculamos los gradientes con los valores actuales de $w$ y $b$.\n",
|
||
"2. Actualizamos $w$ y $b$ moviéndolos un \"pequeño paso\" en dirección **opuesta** al gradiente.\n",
|
||
"\n",
|
||
"⚠️ **Muy importante**: las actualizaciones deben ser **simultáneas**. Calcula primero ambos gradientes y luego actualiza. Si actualizas $w$ antes de calcular `dj_db`, estarás usando un $w$ que ya cambió.\n",
|
||
"\n",
|
||
"### ✏️ Ejercicio 4: Completa `gradient_descent`\n",
|
||
"\n",
|
||
"La función ya tiene preparada toda la lógica para guardar el historial del costo y los parámetros. Tú solo debes completar **el cuerpo del ciclo**: calcular gradientes y actualizar parámetros."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 72,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"def gradient_descent(x, y, w_init, b_init, alpha, num_iters):\n",
|
||
" \"\"\"\n",
|
||
" Ejecuta el algoritmo de descenso de gradiente para ajustar w y b.\n",
|
||
"\n",
|
||
" Args:\n",
|
||
" x (ndarray): Arreglo con m ejemplos de entrada\n",
|
||
" y (ndarray): Arreglo con m valores objetivo\n",
|
||
" w_init (float): Valor inicial del parámetro w\n",
|
||
" b_init (float): Valor inicial del parámetro b\n",
|
||
" alpha (float): Tasa de aprendizaje\n",
|
||
" num_iters (int): Cantidad de iteraciones a ejecutar\n",
|
||
"\n",
|
||
" Returns:\n",
|
||
" w (float): Valor final de w\n",
|
||
" b (float): Valor final de b\n",
|
||
" J_history (list): Historial del costo en cada iteración\n",
|
||
" params_history (list): Historial de [w, b] en cada iteración\n",
|
||
" \"\"\"\n",
|
||
" # Inicialización\n",
|
||
" w = w_init\n",
|
||
" b = b_init\n",
|
||
" J_history = []\n",
|
||
" params_history = []\n",
|
||
"\n",
|
||
" for i in range(num_iters):\n",
|
||
" ### TU CÓDIGO AQUÍ ### (≈ 3 líneas)\n",
|
||
" # Paso 1: calcula los gradientes usando compute_gradient(...)\n",
|
||
" # Paso 2: actualiza w (recuerda: w = w - alpha * dj_dw)\n",
|
||
" # Paso 3: actualiza b (recuerda: b = b - alpha * dj_db)\n",
|
||
" # ⚠️ Calcula AMBOS gradientes ANTES de actualizar cualquier parámetro\n",
|
||
" dj_dw, dj_db = compute_gradient(x, y, w, b)\n",
|
||
" w = w - alpha * dj_dw\n",
|
||
" b = b - alpha * dj_db\n",
|
||
"\n",
|
||
"\n",
|
||
" ### FIN DEL CÓDIGO ###\n",
|
||
"\n",
|
||
" # Guardar el costo y los parámetros para análisis posterior\n",
|
||
" if i < 100000: # evita uso excesivo de memoria en corridas muy largas\n",
|
||
" J_history.append(compute_cost(x, y, w, b))\n",
|
||
" params_history.append([w, b])\n",
|
||
"\n",
|
||
" # Imprimir el progreso cada 10 % de las iteraciones\n",
|
||
" if i % math.ceil(num_iters / 10) == 0 or i == num_iters - 1:\n",
|
||
" print(f'Iteración {i:5}: Costo = {J_history[-1]:8.4f} | w = {w:7.4f}, b = {b:7.4f}')\n",
|
||
"\n",
|
||
" return w, b, J_history, params_history"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 7. Entrenamiento del modelo\n",
|
||
"\n",
|
||
"Ahora ejecutaremos el descenso de gradiente para encontrar los parámetros óptimos. Si todo lo anterior está bien implementado, el costo debería **disminuir progresivamente** y los valores de $w$ y $b$ deberían acercarse al óptimo."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 73,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Iniciando entrenamiento...\n",
|
||
"======================================================================\n",
|
||
"Iteración 0: Costo = 9.7955 | w = 0.4340, b = 0.0680\n",
|
||
"Iteración 100: Costo = 0.4900 | w = 1.0341, b = 0.6641\n",
|
||
"Iteración 200: Costo = 0.3222 | w = 0.9759, b = 1.0690\n",
|
||
"Iteración 300: Costo = 0.2120 | w = 0.9288, b = 1.3972\n",
|
||
"Iteración 400: Costo = 0.1397 | w = 0.8906, b = 1.6631\n",
|
||
"Iteración 500: Costo = 0.0921 | w = 0.8596, b = 1.8787\n",
|
||
"Iteración 600: Costo = 0.0609 | w = 0.8345, b = 2.0533\n",
|
||
"Iteración 700: Costo = 0.0404 | w = 0.8142, b = 2.1949\n",
|
||
"Iteración 800: Costo = 0.0270 | w = 0.7977, b = 2.3096\n",
|
||
"Iteración 900: Costo = 0.0181 | w = 0.7844, b = 2.4026\n",
|
||
"Iteración 999: Costo = 0.0123 | w = 0.7736, b = 2.4772\n",
|
||
"======================================================================\n",
|
||
"\n",
|
||
"🎯 Entrenamiento finalizado:\n",
|
||
" w final = 0.7736\n",
|
||
" b final = 2.4772\n",
|
||
" costo final = 0.012346\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# Hiperparámetros del entrenamiento\n",
|
||
"w_inicial = 0.0\n",
|
||
"b_inicial = 0.0\n",
|
||
"tasa_aprendizaje = 0.01\n",
|
||
"iteraciones = 1000\n",
|
||
"\n",
|
||
"print('Iniciando entrenamiento...')\n",
|
||
"print('=' * 70)\n",
|
||
"\n",
|
||
"w_final, b_final, J_history, params_history = gradient_descent(\n",
|
||
" x_train, y_train,\n",
|
||
" w_inicial, b_inicial,\n",
|
||
" tasa_aprendizaje, iteraciones\n",
|
||
")\n",
|
||
"\n",
|
||
"print('=' * 70)\n",
|
||
"print(f'\\n🎯 Entrenamiento finalizado:')\n",
|
||
"print(f' w final = {w_final:.4f}')\n",
|
||
"print(f' b final = {b_final:.4f}')\n",
|
||
"print(f' costo final = {J_history[-1]:.6f}')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 8. Visualización de resultados\n",
|
||
"\n",
|
||
"Veamos cómo el costo disminuyó durante el entrenamiento y cómo se ve la línea ajustada sobre los datos."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 74,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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|
||
"text/plain": [
|
||
"<Figure size 1400x500 with 2 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Gráfica del costo a lo largo de las iteraciones\n",
|
||
"fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n",
|
||
"\n",
|
||
"# Toda la curva de costo\n",
|
||
"axes[0].plot(J_history, c='blue')\n",
|
||
"axes[0].set_title('Costo durante el entrenamiento (vista completa)')\n",
|
||
"axes[0].set_xlabel('Iteración')\n",
|
||
"axes[0].set_ylabel('Costo J(w,b)')\n",
|
||
"axes[0].grid(True, alpha=0.3)\n",
|
||
"\n",
|
||
"# Zoom: a partir de la iteración 100\n",
|
||
"axes[1].plot(range(100, len(J_history)), J_history[100:], c='blue')\n",
|
||
"axes[1].set_title('Costo a partir de la iteración 100 (zoom)')\n",
|
||
"axes[1].set_xlabel('Iteración')\n",
|
||
"axes[1].set_ylabel('Costo J(w,b)')\n",
|
||
"axes[1].grid(True, alpha=0.3)\n",
|
||
"\n",
|
||
"plt.tight_layout()\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 75,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 800x500 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Calcular las predicciones finales con el modelo entrenado\n",
|
||
"predicciones_finales = compute_model_output(x_train, w_final, b_final)\n",
|
||
"\n",
|
||
"# Visualizar el ajuste sobre los datos reales\n",
|
||
"plt.scatter(x_train, y_train, marker='x', c='red', s=80, label='Datos reales')\n",
|
||
"plt.plot(x_train, predicciones_finales, c='blue',\n",
|
||
" label=f'Modelo ajustado: f(x) = {w_final:.3f}x + {b_final:.3f}')\n",
|
||
"plt.title('Modelo de regresión lineal ajustado')\n",
|
||
"plt.xlabel('Años de experiencia')\n",
|
||
"plt.ylabel('Salario (miles de Q)')\n",
|
||
"plt.legend()\n",
|
||
"plt.grid(True, alpha=0.3)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 9. Hacer predicciones con el modelo\n",
|
||
"\n",
|
||
"Ya tenemos un modelo entrenado. Usémoslo para predecir el salario para nuevos casos.\n",
|
||
"\n",
|
||
"### ✏️ Ejercicio 5: Predicciones para casos nuevos\n",
|
||
"\n",
|
||
"Usa el modelo entrenado (con `w_final` y `b_final`) para estimar el salario de tres profesionales con diferentes años de experiencia."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 76,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Predicciones del modelo entrenado:\n",
|
||
"-------------------------------------------------------\n",
|
||
" 2.5 años de experiencia → Q 4411.32 mensuales\n",
|
||
" 6.5 años de experiencia → Q 7505.86 mensuales\n",
|
||
" 12.0 años de experiencia → Q 11760.86 mensuales\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# Casos nuevos a predecir\n",
|
||
"casos = [2.5, 6.5, 12.0] # años de experiencia\n",
|
||
"\n",
|
||
"print('Predicciones del modelo entrenado:')\n",
|
||
"print('-' * 55)\n",
|
||
"\n",
|
||
"for x_nuevo in casos:\n",
|
||
" ### TU CÓDIGO AQUÍ ### (1 línea)\n",
|
||
" # Calcula la predicción usando w_final, b_final y x_nuevo\n",
|
||
" # Pista: salario_predicho = w_final * x_nuevo + b_final\n",
|
||
" # salario_predicho = None # ← reemplaza None con tu cálculo\n",
|
||
" salario_predicho = w_final * x_nuevo + b_final\n",
|
||
"\n",
|
||
"\n",
|
||
" ### FIN DEL CÓDIGO ###\n",
|
||
"\n",
|
||
" if salario_predicho is not None:\n",
|
||
" print(f' {x_nuevo:5.1f} años de experiencia → Q {salario_predicho * 1000:8.2f} mensuales')\n",
|
||
" else:\n",
|
||
" print(f' {x_nuevo:5.1f} años → ⚠️ aún no implementado')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 10. Visualización de la superficie de costo\n",
|
||
"\n",
|
||
"Para terminar, veamos en un mapa cómo $J(w, b)$ se ve sobre el espacio de parámetros y qué trayectoria siguió el descenso de gradiente para llegar al mínimo. **Esta celda ya está completamente escrita** — solo ejecútala y observa."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 77,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x700 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Generamos una malla de valores de w y b para visualizar el costo\n",
|
||
"w_range = np.linspace(0, 1.5, 50)\n",
|
||
"b_range = np.linspace(0, 6, 50)\n",
|
||
"W, B = np.meshgrid(w_range, b_range)\n",
|
||
"\n",
|
||
"# Calculamos el costo en cada punto de la malla (sí, con dos for explícitos)\n",
|
||
"Z = np.zeros_like(W)\n",
|
||
"for i in range(W.shape[0]):\n",
|
||
" for j in range(W.shape[1]):\n",
|
||
" Z[i, j] = compute_cost(x_train, y_train, W[i, j], B[i, j])\n",
|
||
"\n",
|
||
"# Extraer la trayectoria del descenso de gradiente\n",
|
||
"ws = [p[0] for p in params_history]\n",
|
||
"bs = [p[1] for p in params_history]\n",
|
||
"\n",
|
||
"# Gráfico de curvas de nivel (contornos)\n",
|
||
"fig, ax = plt.subplots(figsize=(10, 7))\n",
|
||
"contour = ax.contour(W, B, Z, levels=30, cmap='viridis')\n",
|
||
"ax.clabel(contour, inline=True, fontsize=8)\n",
|
||
"ax.plot(ws, bs, 'r.-', markersize=3, linewidth=1, label='Trayectoria del descenso de gradiente')\n",
|
||
"ax.scatter([ws[0]], [bs[0]], c='blue', s=120, marker='o', label='Inicio', zorder=5)\n",
|
||
"ax.scatter([w_final], [b_final], c='red', s=180, marker='*', label='Final', zorder=5)\n",
|
||
"ax.set_xlabel('w')\n",
|
||
"ax.set_ylabel('b')\n",
|
||
"ax.set_title('Curvas de nivel de J(w, b) y trayectoria del descenso de gradiente')\n",
|
||
"ax.legend()\n",
|
||
"ax.grid(True, alpha=0.3)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 11. Retos adicionales 🎯\n",
|
||
"\n",
|
||
"Si ya completaste los ejercicios anteriores, intenta los siguientes retos para profundizar.\n",
|
||
"\n",
|
||
"### Reto 1: Efecto de la tasa de aprendizaje\n",
|
||
"\n",
|
||
"Ejecuta el descenso de gradiente con diferentes valores de $\\alpha$ y observa qué ocurre:\n",
|
||
"- $\\alpha = 0.001$ (muy pequeño — convergencia lenta)\n",
|
||
"- $\\alpha = 0.01$ (el que usamos — convergencia razonable)\n",
|
||
"- $\\alpha = 0.1$ (más rápido… ¿siempre estable?)\n",
|
||
"- $\\alpha = 0.3$ (¿qué pasa aquí?)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 78,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"\n",
|
||
"--- α = 0.001 ---\n",
|
||
"Iteración 0: Costo = 23.4111 | w = 0.0434, b = 0.0068\n",
|
||
"Iteración 10: Costo = 10.9114 | w = 0.3937, b = 0.0628\n",
|
||
"Iteración 20: Costo = 5.3025 | w = 0.6280, b = 0.1021\n",
|
||
"Iteración 30: Costo = 2.7847 | w = 0.7847, b = 0.1302\n",
|
||
"Iteración 40: Costo = 1.6535 | w = 0.8894, b = 0.1509\n",
|
||
"Iteración 50: Costo = 1.1444 | w = 0.9593, b = 0.1665\n",
|
||
"Iteración 60: Costo = 0.9144 | w = 1.0058, b = 0.1788\n",
|
||
"Iteración 70: Costo = 0.8095 | w = 1.0367, b = 0.1888\n",
|
||
"Iteración 80: Costo = 0.7608 | w = 1.0572, b = 0.1973\n",
|
||
"Iteración 90: Costo = 0.7372 | w = 1.0706, b = 0.2048\n",
|
||
"Iteración 99: Costo = 0.7260 | w = 1.0786, b = 0.2110\n",
|
||
"\n",
|
||
"--- α = 0.01 ---\n",
|
||
"Iteración 0: Costo = 9.7955 | w = 0.4340, b = 0.0680\n",
|
||
"Iteración 10: Costo = 0.7152 | w = 1.0934, b = 0.2187\n",
|
||
"Iteración 20: Costo = 0.6854 | w = 1.0902, b = 0.2730\n",
|
||
"Iteración 30: Costo = 0.6573 | w = 1.0827, b = 0.3256\n",
|
||
"Iteración 40: Costo = 0.6303 | w = 1.0753, b = 0.3770\n",
|
||
"Iteración 50: Costo = 0.6044 | w = 1.0681, b = 0.4274\n",
|
||
"Iteración 60: Costo = 0.5795 | w = 1.0610, b = 0.4768\n",
|
||
"Iteración 70: Costo = 0.5557 | w = 1.0540, b = 0.5251\n",
|
||
"Iteración 80: Costo = 0.5329 | w = 1.0472, b = 0.5724\n",
|
||
"Iteración 90: Costo = 0.5110 | w = 1.0406, b = 0.6188\n",
|
||
"Iteración 99: Costo = 0.4921 | w = 1.0347, b = 0.6596\n",
|
||
"\n",
|
||
"--- α = 0.1 ---\n",
|
||
"Iteración 0: Costo = 211.3711 | w = 4.3400, b = 0.6800\n",
|
||
"Iteración 10: Costo = 454949371161.8306 | w = 150634.2168, b = 21637.7431\n",
|
||
"Iteración 20: Costo = 982556045442539323392.0000 | w = 7000318542.2909, b = 1005529612.5019\n",
|
||
"Iteración 30: Costo = 2122030370041478112231070629888.0000 | w = 325323123976390.2500, b = 46729592731865.6875\n",
|
||
"Iteración 40: Costo = 4582957798962234990592509569005342687232.0000 | w = 15118617012789649408.0000, b = 2171646475791153152.0000\n",
|
||
"Iteración 50: Costo = 9897832982785344606234297398244489210952683618304.0000 | w = 702601701304212398276608.0000, b = 100922095402734481047552.0000\n",
|
||
"Iteración 60: Costo = 21376390979925077622493064214912835934777594017335530749952.0000 | w = 32651739921579461953955299328.0000, b = 4690113908511765502934122496.0000\n",
|
||
"Iteración 70: Costo = 46166680335116337672813837252696946163438552440657454603690760470528.0000 | w = 1517411810884372437505464388812800.0000, b = 217961868380108096568550957776896.0000\n",
|
||
"Iteración 80: Costo = 99706371162766156475202217819286495493927295130212137389581139481932108660736.0000 | w = 70518098249632530179094873076337213440.0000, b = 10129258477396388849898442272622510080.0000\n",
|
||
"Iteración 90: Costo = 215336263692442088508412267204823348280618889557212890684625935226378259279186451496960.0000 | w = 3277160586911866677600404526338727600979968.0000, b = 470733151924432720512483903059671694442496.0000\n",
|
||
"Iteración 99: Costo = 54209076662330919971499575124747607943995018901367303595895026415028991439135276417449092710400.0000 | w = -51996623343012274641303498131653400467033030656.0000, b = -7468823619274765311892751605370796094038999040.0000\n",
|
||
"\n",
|
||
"--- α = 0.3 ---\n",
|
||
"Iteración 0: Costo = 2857.7959 | w = 13.0200, b = 2.0400\n",
|
||
"Iteración 10: Costo = 1300021190306020529799168.0000 | w = 254632803799.0375, b = 36575596203.2798\n",
|
||
"Iteración 20: Costo = 591520185163725956148739490053632833930395648.0000 | w = 5431551741957110759424.0000, b = 780191084179200409600.0000\n",
|
||
"Iteración 30: Costo = 269146481661398700604953474507384394954042786846818814675034046464.0000 | w = 115859990879048702676283529625600.0000, b = 16642192911218891957116996681728.0000\n",
|
||
"Iteración 40: Costo = 122463832017260893760967173084521467475289554877399555200803341050024923293791041880064.0000 | w = 2471400094157336144444337965661352345206784.0000, b = 354993270892864361287910719547984452780032.0000\n",
|
||
"Iteración 50: Costo = 55722036787460071318033809515662869084912573985821280576284577706976697814408566671598733143095046335102976.0000 | w = 52717235510376571172095777814191527193663311529902080.0000, b = 7572332747943416901734621637163680295715235950493696.0000\n",
|
||
"Iteración 60: Costo = 25353978661270524623202295226079325289187047230831533747677476462671562824253239343086410902152254788948018140951722597589975040.0000 | w = 1124507086661777057280457443427482924610791210353691193782566912.0000, b = 161524817361626382217390438715996613158032495428295734801203200.0000\n",
|
||
"Iteración 70: Costo = 11536265919497487124170710906326288137217658784436857138950801138419932571556647717597895653841422853187166756384075330525317819414633525832822292480.0000 | w = 23986769710328544712132184308344650810949419010584599339367687186674614272.0000, b = 3445472814278091206319458917355033999154590020243285356314599675452719104.0000\n",
|
||
"Iteración 80: Costo = 5249094556060896311134851608657076971199795523547921309982977429417686434836837762788011136979489163925031042318761317255164247702644586809242639068131303862552903024640.0000 | w = 511659844531855874510675932089011236018414304296426289415472735520125696747488935936.0000, b = 73495101915835116146489057612527305481294880479950281718138056649136304447364792320.0000\n",
|
||
"Iteración 90: Costo = 2388380594790272876133605188056685147474169159282821198938746563423051694596252451941358862298110162657548999431788951652214271959298635215937627767425743141493512189505061678170035353288704.0000 | w = 10914174758330859703044351313104742480084736579169411035704547509638932845058198122806934241280.0000, b = 1567718074348163466774390067884857824480842049932076971720724930160149226596158302098779275264.0000\n",
|
||
"Iteración 99: Costo = 9339438314311165404458277167070877093334276718653191277225878791784827006678058818413008750354617773121488080324260353611827594742502458638768030173308570097186737749585802624803813419391167387274884958650368.0000 | w = -21582388974804685764005760170191240688741451827025544490513623028668558871672880135786108773351624278016.0000, b = -3100106240976880499727766495225941812984632897779773714409896275904004776297923610312374302246107611136.0000\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
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",
|
||
"text/plain": [
|
||
"<Figure size 1000x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"\n",
|
||
"💭 ¿Qué observas? ¿Cuál tasa converge más rápido? ¿Alguna diverge?\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# Reto 1: experimenta con diferentes tasas de aprendizaje\n",
|
||
"tasas = [0.001, 0.01, 0.1, 0.3]\n",
|
||
"\n",
|
||
"fig, ax = plt.subplots(figsize=(10, 6))\n",
|
||
"\n",
|
||
"for alpha in tasas:\n",
|
||
" print(f'\\n--- α = {alpha} ---')\n",
|
||
" try:\n",
|
||
" _, _, J_hist, _ = gradient_descent(x_train, y_train, 0.0, 0.0, alpha, 100)\n",
|
||
" ax.plot(J_hist, label=f'α = {alpha}')\n",
|
||
" except Exception as e:\n",
|
||
" print(f' ⚠️ Error: {e}')\n",
|
||
"\n",
|
||
"ax.set_xlabel('Iteración')\n",
|
||
"ax.set_ylabel('Costo J(w,b)')\n",
|
||
"ax.set_title('Efecto de la tasa de aprendizaje en el costo')\n",
|
||
"ax.set_yscale('log') # escala logarítmica para apreciar mejor las diferencias\n",
|
||
"ax.legend()\n",
|
||
"ax.grid(True, alpha=0.3)\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"print('\\n💭 ¿Qué observas? ¿Cuál tasa converge más rápido? ¿Alguna diverge?')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "3cee04b8",
|
||
"metadata": {},
|
||
"source": [
|
||
"La que converge más rápido parece ser la tasa 0.01, porque esta tasa dá pasos más grandes que 0.001 y resuelve más rápido en cambio los números más altos hace que el costo sea mayor y no resuelva, por ello la tasa 0.01 es la que tiene mejor balance ajustado a estos datos."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Reto 2: Implementa una función de evaluación\n",
|
||
"\n",
|
||
"Implementa una función que calcule dos métricas para evaluar tu modelo:\n",
|
||
"\n",
|
||
"- **MAE** (Error Absoluto Medio): $\\;\\;\\dfrac{1}{m} \\sum_{i=0}^{m-1} \\left| f_{w,b}(x^{(i)}) - y^{(i)} \\right|$\n",
|
||
"\n",
|
||
"- **RMSE** (Raíz del Error Cuadrático Medio): $\\;\\;\\sqrt{\\dfrac{1}{m} \\sum_{i=0}^{m-1} \\left( f_{w,b}(x^{(i)}) - y^{(i)} \\right)^2}$"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 79,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"MAE = 0.1356 miles de Q (≈ Q 135.55 de error promedio)\n",
|
||
"RMSE = 0.1571 miles de Q (≈ Q 157.13)\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"def evaluar_modelo(x, y, w, b):\n",
|
||
" \"\"\"\n",
|
||
" Calcula MAE y RMSE para el modelo.\n",
|
||
"\n",
|
||
" Returns:\n",
|
||
" mae (float): Error Absoluto Medio\n",
|
||
" rmse (float): Raíz del Error Cuadrático Medio\n",
|
||
" \"\"\"\n",
|
||
" m = len(x)\n",
|
||
" suma_abs = 0 # acumulador para MAE\n",
|
||
" suma_cuadrada = 0 # acumulador para RMSE\n",
|
||
"\n",
|
||
" ### TU CÓDIGO AQUÍ ###\n",
|
||
" # Pista 1: usa abs(...) para el valor absoluto\n",
|
||
" # Pista 2: itera sobre los m ejemplos con un ciclo for\n",
|
||
" # Pista 3: en cada iteración, calcula la predicción y el error,\n",
|
||
" # luego acumula |error| en suma_abs y error**2 en suma_cuadrada\n",
|
||
"\n",
|
||
" for i in range(m):\n",
|
||
" f_wb_i = w * x[i] + b\n",
|
||
" error_i = f_wb_i - y[i]\n",
|
||
" suma_abs += abs(error_i)\n",
|
||
" suma_cuadrada += error_i ** 2\n",
|
||
"\n",
|
||
"\n",
|
||
" ### FIN DEL CÓDIGO ###\n",
|
||
"\n",
|
||
" mae = suma_abs / m\n",
|
||
" rmse = math.sqrt(suma_cuadrada / m)\n",
|
||
" return mae, rmse\n",
|
||
"\n",
|
||
"\n",
|
||
"# 🧪 Probar la función\n",
|
||
"mae, rmse = evaluar_modelo(x_train, y_train, w_final, b_final)\n",
|
||
"print(f'MAE = {mae:.4f} miles de Q (≈ Q {mae*1000:.2f} de error promedio)')\n",
|
||
"print(f'RMSE = {rmse:.4f} miles de Q (≈ Q {rmse*1000:.2f})')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Reto 3: Probar con tus propios datos\n",
|
||
"\n",
|
||
"Modifica `x_train` y `y_train` con datos inventados por ti (por ejemplo: horas de estudio vs. nota del examen, o cualquier otro caso) y vuelve a entrenar el modelo. ¿Qué tan bien ajusta?\n",
|
||
"\n",
|
||
"💡 *Tip:* si los valores de tu nuevo dataset son muy distintos en escala, puede que necesites ajustar la tasa de aprendizaje."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 12. Conclusiones\n",
|
||
"\n",
|
||
"¡Felicidades! 🎉 Has implementado desde cero un algoritmo completo de regresión lineal:\n",
|
||
"\n",
|
||
"✅ Función del modelo $f_{w,b}(x) = wx + b$ \n",
|
||
"✅ Función de costo $J(w,b)$ \n",
|
||
"✅ Cálculo del gradiente $\\frac{\\partial J}{\\partial w}$ y $\\frac{\\partial J}{\\partial b}$ \n",
|
||
"✅ Algoritmo de descenso de gradiente \n",
|
||
"✅ Entrenamiento, predicción y evaluación del modelo \n",
|
||
"\n",
|
||
"### Preguntas para reflexionar\n",
|
||
"\n",
|
||
"1. ¿Qué pasa si la tasa de aprendizaje es **demasiado grande**? ¿Y si es **demasiado pequeña**?\n",
|
||
"2. ¿Cómo afectan los valores iniciales de $w$ y $b$ al resultado final?\n",
|
||
"3. ¿Por qué dividimos entre $2m$ en la función de costo y no solo entre $m$?\n",
|
||
"4. ¿Qué tan bien crees que generaliza este modelo a años de experiencia muy fuera del rango entrenado (por ejemplo, 30 años)?\n",
|
||
"\n",
|
||
"### Próximos pasos\n",
|
||
"\n",
|
||
"En las siguientes clases veremos:\n",
|
||
"- **Vectorización con NumPy**: el mismo algoritmo, mucho más rápido y conciso (sin ciclos `for`).\n",
|
||
"- **Regresión lineal multivariable**: cuando tenemos más de una característica de entrada.\n",
|
||
"- **Normalización de características**: clave cuando las variables tienen escalas muy distintas."
|
||
]
|
||
}
|
||
],
|
||
"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": "3.10.12"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 5
|
||
}
|