{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Series Temporales" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introducción" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "* Una [serie temporal](https://en.wikipedia.org/wiki/Time_series) o cronológica es una sucesión de datos medidos en determinados momentos y ordenados cronológicamente. Los datos pueden estar espaciados a intervalos iguales (como la temperatura en un observatorio meteorológico en días sucesivos al mediodía) o desiguales (como el peso de una persona en sucesivas mediciones en el consultorio médico, la farmacia, etc.). \n", "\n", "\n", "* Uno de los usos más habituales de las series de datos temporales es su análisis para **predicción** y **pronóstico** (así se hace por ejemplo con los datos climáticos, las acciones de bolsa, o las series de datos demográficos). Resulta difícil imaginar una rama de las ciencias en la que no aparezcan datos que puedan ser considerados como series temporales. Las series temporales se estudian en estadística, procesamiento de señales, econometría y muchas otras áreas.\n", "\n", "## Análisis de series temporales\n", "\n", "Para entender mejor el comportamiento de una serie temporal, nos iremos ayudando con python.\n", "\n", "\n", "### Descripción del problema\n", "\n", "El conjunto de datos se llama `AirPassengers.csv`, el cual contiene la información del total de pasajeros (a nivel de mes) entre los año 1949 y 1960.\n", "\n", "En terminos estadísticos, el problema puede ser presentado por la serie temporal \n", " $\\left \\{ X_t: t \\in T \\right \\}$ , donde:\n", "\n", "* $X_{t}$: corresponde al total de pasajeros en el tiempo t\n", "* $t$: tiempo medido a nivel de mes.\n", "\n", "\n", "Comparando la serie temporal con un dataframe, este sería un dataframe de una sola columna, en cuyo índice se encuentra las distintas fechas.\n", "\n", "El objetivo es poder desarrollar un modelo predictivo que me indique el número de pasajeros para los próximos dos años. Antes de ajustar el modelo, se debe entender el comportamiento de la serie de tiempo en estudio y con esta información, encontrar el modelo que mejor se puede ajustar (en caso que exista).\n", "\n", "Como son muchos los conceptos que se presentarán, es necesario ir apoyandose con alguna herramienta de programación, en nuestro caso **python**. Dentro de python, la librería **statsmodels** es ideal para hacer este tipo de análisis.\n", "\n", "\n", "Lo primero es cargar, transformar y visualizar el conjunto de datos." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# librerias \n", "\n", "import os\n", "import pandas as pd\n", "import numpy as np \n", "import matplotlib.pyplot as plt \n", "import seaborn as sns \n", "\n", "# graficos incrustados\n", "plt.style.use('fivethirtyeight')\n", "%matplotlib inline\n", "\n", "# parametros esteticos de seaborn\n", "sns.set_palette(\"deep\", desat=.6)\n", "sns.set_context(rc={\"figure.figsize\": (12, 4)})" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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datepassengers
01949-01112
11949-02118
21949-03132
31949-04129
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" ], "text/plain": [ " date passengers\n", "0 1949-01 112\n", "1 1949-02 118\n", "2 1949-03 132\n", "3 1949-04 129\n", "4 1949-05 121" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# cargar datos\n", "df = pd.read_csv(os.path.join(\"data\",\"AirPassengers.csv\"), sep=\",\")\n", "df.columns = ['date','passengers']\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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passengers
count144.000000
mean280.298611
std119.966317
min104.000000
25%180.000000
50%265.500000
75%360.500000
max622.000000
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" ], "text/plain": [ " passengers\n", "count 144.000000\n", "mean 280.298611\n", "std 119.966317\n", "min 104.000000\n", "25% 180.000000\n", "50% 265.500000\n", "75% 360.500000\n", "max 622.000000" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# resumen\n", "df.describe()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fecha Inicio: 1949-01\n", "Fecha Fin: 1960-12\n" ] } ], "source": [ "# fechas\n", "print('Fecha Inicio: {}\\nFecha Fin: {}'.format(df.date.min(),df.date.max()))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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passengers
date
1949-01-31112
1949-02-28118
1949-03-31132
1949-04-30129
1949-05-31121
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" ], "text/plain": [ " passengers\n", "date \n", "1949-01-31 112\n", "1949-02-28 118\n", "1949-03-31 132\n", "1949-04-30 129\n", "1949-05-31 121" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# formato datetime de las fechas\n", "df['date'] = pd.to_datetime(df['date'], format='%Y-%m')\n", "\n", "# dejar en formato ts\n", "y = df.set_index('date').resample('M').mean()\n", "\n", "y.head()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# graficar datos\n", "y.plot(figsize=(15, 3),color = 'blue')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Basado en el gráfico, uno podria decir que tiene un comportamiento estacionario en el tiempo, es decir, que se repita cada cierto instante de tiempo. Además, la demanda ha tendido a incrementar año a año." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Por otro lado, podemos agregar valor a nuestro entendimiento de nuestra serie temporal, realizando un diagrama de box-plot a los distintos años." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# diagrama de caja y bigotes\n", "fig, ax = plt.subplots(figsize=(15,6))\n", "sns.boxplot(y.passengers.index.year, y.passengers, ax=ax)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Descomposición STL\n", "\n", "Una serie temporal la podemos descomponer en tres componentes:\n", "\n", " * **tendencia** ($T$): trayectoria de los datos en el tiempo (dirección positiva o negativa).\n", " * **estacionalidad**($S$): fluctuaciones regulares y predecibles en un periodo determinado (anual, semestral,etc.)\n", " * **ruido**($e$): error intrínsico al tomar una serie temporal (instrumenos, medición humana, etc.) \n", " \n", "Cuando un descompone la serie temporla en sus tres componenctes (tendencia, estacionalidad, ruido) se habla de **descompocisión STL**. En muchas ocasiones no es posible descomponer adecuadamente la serie temporal, puesto que la muestra obtenida no presenta un comportamiento ciclico o repetitivo en el periodo de tiempo analizado.\n", "\n", "Por otro lado, esta descomposición se puede realizar de dos maneras diferentes: \n", "\n", "* **Aditiva**: $$X_{t} = T_{t} + S_{t} + e_{t}$$\n", "* **Multiplicativa**: $$X_{t} = T_{t} * S_{t} * e_{t}$$\n", "\n", "\n", "Por suepuesto esta no es la única forma de descomponer una serie, pero sirve como punto de partida para comprender nuestra serie en estudio.\n", "\n", "Realizaremos un descomposición del tipo multiplicativa, ocupando el comando de statsmodels **seasonal_decompose**." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pylab import rcParams\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt\n", "\n", "rcParams['figure.figsize'] = 18, 8\n", "decomposition = sm.tsa.seasonal_decompose(y, model='multiplicative')\n", "fig = decomposition.plot()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Analicemos cada uno de estos gráficos:\n", "\n", "* **gráfico 01** (serie original): este gráfico simplemente nos muestra la serie original graficada en el tiempo.\n", "\n", "\n", "* **gráfico 02** (tendencia): este gráfico nos muestra la tendencia de la serie, para este caso, se tiene una tendencial lineal positiva.\n", "\n", "\n", "* **gráfico 03** (estacionariedad): este gráfico nos muestra la estacionariedad de la serie, para este caso, se muestra una estacionariedad año a año, esta estacionariedad se puede ver como una curva invertida (función cuadrática negativa), en donde a aumenta hasta hasta a mediados de años (o un poco más) y luego esta cae suavemente a final de año.\n", "\n", "\n", "* **gráfico 04** (error): este gráfico nos muestra el error de la serie, para este caso, el error oscila entre 0 y 1. En general se busca que el error sea siempre lo más pequeño posible y que tenga el comportamiento de una distribución normal. Cuando el error sigue una distribución normal con media cero y varianza 1, se dice que el error es un **ruido blanco**.\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "¿ cómo es un ruido blanco?, mostremos un ruido blanco en python y veamos como este luce:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# grafico: lineplot \n", "\n", "np.random.seed(42) # fijar semilla\n", "\n", "mean = 0\n", "std = 1 \n", "num_samples = 300\n", "\n", "\n", "samples = np.random.normal(mean, std, size=num_samples)\n", "\n", "plt.plot(samples)\n", "plt.title(\"Ruido blanco: N(0,1)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observemos que el ruido blanco oscila sobre el valor 0 y tiene una varianza constante (igual a 1). \n", "\n", "Veamos su histograma:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# grafico: histograma\n", "plt.hist(samples,bins = 10)\n", "plt.title(\"Ruido blanco: N(0,1)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "EL histograma de una variable normal, se caracteriza por esa forma de campana simétrica entorno a un valor, en este caso, entorno al valor 0." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Series Estacionarias \n", "\n", "Un concepto importante para el ánalisis de series temporales, es el concepto de estacionariedad. \n", "\n", "#### Definición\n", "Sea $\\left \\{ X_t: t \\in T \\right \\}$ una serie temporal. Se dice que una serie temporal es **débilmente estacionaria** si:\n", "\n", " * $\\mathbb{V}(X_t) < \\infty$, para todo $t \\in T$.\n", " * $\\mu_{X}(t)= \\mu$, para todo $t \\in T$.\n", " * $\\gamma_{X}(r,s)= \\gamma_{X}(r+h,s+h)=\\gamma_{X}(h) $, para todo $r,s,h\\in T$.\n", "\n", "En palabras simple, una serie temporal es débilmente estacionaria si varía poco respecto a su propia media.\n", "\n", "Veamos las siguientes imágenes:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La **imagen A**: Este es un excelente ejemplo de una serie estacionaria, a simple vista se puede ver que los valores se encuentran oscilando en un rango acotado (tendencia constante) y la variabilidad es constante.\n", "\n", "Las imágenes **B**, **C** y **D** no son estacionarias porque: \n", "\n", "* **imagen B**: existe una una tendencia no contante, para este caso lineal (similar al caso que estamos analizando).\n", "\n", "\n", "* **imagen C**: existe varianza no constante, si bien varia dentro de valores acotados, la oscilaciones son erráticas.\n", "\n", "* **imagen D**: existe codependencia entre los distintos instantes de tiempo.\n", "\n", "\n", "**¿ Por qué es importante este concepto ?**\n", "\n", "* Supuesto base de muchos modelos de series temporales (desde el punto de vista estadístico)\n", "* No se requiere muchas complicaciones extras para que las predicciones sean \"buenas\".\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Formas de detectar la estacionariedad \n", "\n", "La manera más simple es gráficarla e inferir el comportamiento de esta. La ventaja que este método es rápido, sin embargo, se encuentra sesgado por el criterio del ojo humano.\n", "\n", "Por otro lado existen algunas alternativas que aquí presentamos:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Autocorrelación (ACF) y autocorrelación parcial PACF**\n", "\n", "Definamos a grandes rasgos estos conceptos:\n", "\n", "* **Función de autocorrelación** (ACF). En el retardo $k$, es la autocorrelación entre los valores de las series que se encuentran a $k$ intervalos de distancia.\n", "\n", "\n", "* **Función de autocorrelación parcial** (PACF). En el retardo $k$, es la autocorrelación entre los valores de las series que se encuentran a $k$ intervalos de distancia, teniendo en cuenta los valores de los intervalos intermedios.\n", "\n", "\n", "Si la serie temporal es estacionaria, los gráficos ACF / PACF mostrarán una rápida disminución de la correlación después de un pequeño retraso entre los puntos.\n", "\n", "Gráfiquemos la acf y pacf de nuestra serie temporal ocupando los comandos **plot_acf** y **plot_pacf**, respectivamente." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from statsmodels.graphics.tsaplots import plot_acf\n", "from statsmodels.graphics.tsaplots import plot_pacf\n", "from matplotlib import pyplot\n", "pyplot.figure(figsize=(12,9))\n", "\n", "# acf\n", "pyplot.subplot(211)\n", "plot_acf(y.passengers, ax=pyplot.gca(), lags = 30)\n", "\n", "#pacf\n", "pyplot.subplot(212)\n", "plot_pacf(y.passengers, ax=pyplot.gca(), lags = 30)\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Se observa de ambas imagenes, que estas no decaen rápidamente a cero, por lo cual se puede decir que la serie en estudio no es estacionaria." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Prueba Dickey-Fuller**\n", "\n", "En estadística, la prueba Dickey-Fuller prueba la hipótesis nula de que una raíz unitaria está presente en un modelo autorregresivo. La hipótesis alternativa es diferente según la versión de la prueba utilizada, pero generalmente es estacionariedad o tendencia-estacionaria. Lleva el nombre de los estadísticos David Dickey y Wayne Fuller, quienes desarrollaron la prueba en 1979.\n", "\n", "Para efectos práticos, para el caso de estacionariedad se puede definir el test como:\n", "\n", "* **Hipótesis nula**: la serie temporal no es estacionaria.\n", "* **Hipótesis alternativa**: la serie temporal es alternativa.\n", "\n", "\n", "Rechazar la hipótesis nula (es decir, un valor p muy bajo) indicará estacionariedad" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Resultados del test de Dickey-Fuller:\n", "Test Statistic 0.815369\n", "p-value 0.991880\n", "#Lags Used 13.000000\n", "Number of Observations Used 130.000000\n", "dtype: float64\n" ] } ], "source": [ "from statsmodels.tsa.stattools import adfuller\n", "\n", "#test Dickey-Fulle:\n", "print ('Resultados del test de Dickey-Fuller:')\n", "dftest = adfuller(y.passengers, autolag='AIC')\n", "dfoutput = pd.Series(dftest[0:4], \n", " index=['Test Statistic','p-value','#Lags Used','Number of Observations Used'])\n", "\n", "print(dfoutput)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dado que el **p-value** es 0.991880, se concluye que la serie temporal no es estacionaria." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**¿ Qué se puede hacer si la serie no es etacionaria ?**\n", "\n", "Nuestro caso en estudio resulto ser una serie no estacionaria, no obstante, se pueden realizar tranformaciones para solucionar este problema.\n", "\n", "Como es de esperar, estas tranformaciones deben cumplir ciertas porpiedades (inyectividad, diferenciables, etc.). A continuación, se presentan algunas de las tranformaciones más ocupadas en el ámbito de series temporales:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sea $X_{t}$ una serie temporal, entonces uno puede definir una nueva serie temporal $Y_{t}$ de la siguiente manera:\n", "\n", " * **diferenciación**: $Y_{t} =\\Delta X_{t} =X_{t}-X_{t-1}$.\n", " \n", " \n", " * **transformaciones de Box-Cox**: \n", " $$Y_{t} = \\left\\{\\begin{matrix}\n", "\\dfrac{X_{t}^{\\lambda}-1}{\\lambda}, \\ \\ \\textrm{si } \\lambda > 0\\\\ \n", "\\textrm{log}(X_{t}), \\ \\ \\textrm{si } \\lambda = 0\n", "\\end{matrix}\\right.$$\n", "\n", "Ayudemonos con python para ver el resultado de las distintas transformaciones.\n", "\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# diferenciacion\n", "\n", "Y_diff = y.diff()\n", "\n", "rcParams['figure.figsize'] = 12, 4\n", "plt.plot(Y_diff)\n", "plt.title(\"Serie diferenciada\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def box_transformations(y,param):\n", " if param>0:\n", " return y.apply(lambda x: (x**(param)-1)/param)\n", " elif param==0:\n", " return np.log(y)\n", " else:\n", " print(\"lambda es negativo, se devulve la serie original\")\n", " return y" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# logaritmo\n", "\n", "Y_log = box_transformations(y,0)\n", "\n", "rcParams['figure.figsize'] = 12, 4\n", "plt.plot(Y_log)\n", "plt.title(\"Serie logaritmica\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# cuadratica\n", "\n", "Y_quad = box_transformations(y,2)\n", "\n", "rcParams['figure.figsize'] = 12, 4\n", "plt.plot(Y_log)\n", "plt.title(\"Serie cuadratica\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Modelos de forecast (Pronóstico)\n", "\n", "Para realizar el pronóstico de series, existen varios modelos clásicos para analizar series temporales:\n", "\n", "**Modelos con variabilidad (varianza) constante**\n", "\n", "* **Modelos de media móvil** (MA(d)): el modelo queda en función de los ruidos $e_{1},e_{2},...,e_{d}$\n", " \n", "* **Modelos autorregresivos** (AR(q)): el modelo queda en función de los ruidos $X_{1},X_{2},...,X_{q}$\n", " \n", "* **Modelos ARMA** (ARMA(p,q)): Mezcla de los modelos $MA(d)$ y $AR(q)$\n", " \n", "* **Modelos ARIMA** (ARIMA(p,d,q)):: Mezcla de los modelos $MA(d)$ y $AR(q)$ sobre la serie diferenciada $d$ veces.\n", " \n", "* **Modelos SARIMA** (SARIMA(p,d,q)x(P,D,Q,S)): Mezcla de los modelos ARIMA(p,d,q) agregando componentes de estacionariedad ($S$).\n", " \n", "Dentro de estos modelos, se tiene que uno son un caso particular de otro más general:\n", "\n", "$$MA(d),AR(q) \\subset ARMA(p,q) \\subset ARIMA(p,d,q) \\subset SARIMA(p,d,q)x(P,D,Q,S) $$\n", " \n", " \n", " \n", "**Modelos de volatibilidad**\n", "\n", "* **Arch**\n", "\n", "* **Garch**\n", "\n", "* **Modelos de espacio estado**\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Se deja como tarea al lector profundizar más en estos conceptos. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Realizar pronóstico con statsmodels\n", "\n", "El pronóstico lo realizaremos ocupando los modelos disponible en statsmodels, particularmen los modelos $SARIMA(p,d,q)x(P,D,Q,S)$.\n", "\n", "Como todo buen proceso de machine learning es necesario separar nuestro conjunto de datos en dos (entrenamiento y testeo). ¿ Cómo se realiza esto con series temporales ?.\n", "\n", "El camino correcto para considerar una fecha objetivo (**target_date**), el cual separé en dos conjuntos, de la siguiente manera:\n", "\n", "* **y_train**: todos los datos hasta la fecha **target_date**\n", "* **y_test**: todos los datos después la fecha **target_date**" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "target_date = '1958-01-01'\n", "\n", "# crear conjunto de entrenamiento y de testeo\n", "mask_ds = y.index < target_date\n", "\n", "y_train = y[mask_ds]\n", "y_test = y[~mask_ds]\n", "\n", "#plotting the data\n", "y_train['passengers'].plot()\n", "y_test['passengers'].plot()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Una pregunta natural que surgue es: ¿ por qué no se toman datos de manera aleatoria?. \n", "\n", "La respuesta es que como se trabaja el la variable **tiempo**, por lo tanto los datos siguen un orden natural de los sucesos, en cambio, en los problemas de regresión no existe orden en los sucesos, por cada par de punto es de cierta forma **independiente** uno con otros. Además, si se sacarán puntos de testeo de manera aleatoria, podría romper con la tendencia y estacionariedad original de la serie.\n", "\n", "Veamos un ejemplo sensillo de este caso en python:\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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yyhat
date
1958-01-31340336.756041
1958-02-28318337.513783
1958-03-31362338.273230
1958-04-30348339.034386
1958-05-31363339.797254
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" ], "text/plain": [ " y yhat\n", "date \n", "1958-01-31 340 336.756041\n", "1958-02-28 318 337.513783\n", "1958-03-31 362 338.273230\n", "1958-04-30 348 339.034386\n", "1958-05-31 363 339.797254" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from statsmodels.tsa.statespace.sarimax import SARIMAX\n", "from metrics_regression import *\n", "\n", "# parametros\n", "param = [(1,0,0),(0,0,0,12)]\n", "\n", "# modelo\n", "model = SARIMAX(y_train,\n", " order=param[0],\n", " seasonal_order=param[1],\n", " enforce_stationarity=False,\n", " enforce_invertibility=False)\n", "# ajustar modelo\n", "model_fit = model.fit(disp=0)\n", "\n", "# fecha de las predicciones \n", "start_index = y_test.index.min()\n", "end_index = y_test.index.max()\n", "\n", "preds = model_fit.get_prediction(start=start_index,end=end_index, dynamic=False)\n", "df_temp = pd.DataFrame(\n", " {\n", " 'y':y_test['passengers'],\n", " 'yhat': preds.predicted_mean\n", " }\n", " )\n", "\n", "# resultados del ajuste\n", "df_temp.head()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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maemsermsemapemaapewmapemmapesmapemodel
081.852911619.4305107.79350.17010.1660.1910.16970.195SARIMA_(1,0,0)X(0,0,0,12)
\n", "
" ], "text/plain": [ " mae mse rmse mape maape wmape mmape smape \\\n", "0 81.8529 11619.4305 107.7935 0.1701 0.166 0.191 0.1697 0.195 \n", "\n", " model \n", "0 SARIMA_(1,0,0)X(0,0,0,12) " ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# resultados de las métricas\n", "df_metrics = summary_metrics(df_temp)\n", "df_metrics['model'] = f\"SARIMA_{param[0]}X{param[1]}\".replace(' ','')\n", "df_metrics" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# graficamos resultados\n", "\n", "preds = df_temp['yhat']\n", "ax = y['1949':].plot(label='observed')\n", "preds.plot(ax=ax, label='Forecast', alpha=.7, figsize=(14, 7))\n", "ax.set_xlabel('Date')\n", "ax.set_ylabel('Passengers')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observamos a simple vista que el ajuste no es tan bueno que digamos (analizando las métricas y el gráfico).\n", "\n", "Entonces, ¿ qué se puede hacer?. La respuesta es simple ¡ probar varios modelos sarima !.\n", "\n", "Ahora, ¿ cómo lo hacemos?. Lo primero es definir una clase llamada `SarimaModels` que automatice el proceso anterior, y nos quedamos con aquel modelo que minimice alguna de las métricas propuestas, por ejemplo, minimizar las métricas de **mae** y **mape**" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# creando clase SarimaModels\n", "\n", "class SarimaModels:\n", " def __init__(self,params):\n", "\n", " self.params = params\n", " \n", " \n", " @property\n", " def name_model(self):\n", " return f\"SARIMA_{self.params[0]}X{self.params[1]}\".replace(' ','')\n", " \n", " @staticmethod\n", " def test_train_model(y,date):\n", " mask_ds = y.index < date\n", "\n", " y_train = y[mask_ds]\n", " y_test = y[~mask_ds] \n", " \n", " return y_train, y_test\n", " \n", " def fit_model(self,y,date):\n", " y_train, y_test = self.test_train_model(y,date )\n", " model = SARIMAX(y_train,\n", " order=self.params[0],\n", " seasonal_order=self.params[1],\n", " enforce_stationarity=False,\n", " enforce_invertibility=False)\n", " \n", " model_fit = model.fit(disp=0)\n", "\n", " return model_fit\n", " \n", " def df_testig(self,y,date):\n", " y_train, y_test = self.test_train_model(y,date )\n", " model = SARIMAX(y_train,\n", " order=self.params[0],\n", " seasonal_order=self.params[1],\n", " enforce_stationarity=False,\n", " enforce_invertibility=False)\n", " \n", " model_fit = model.fit(disp=0)\n", " \n", " start_index = y_test.index.min()\n", " end_index = y_test.index.max()\n", "\n", " preds = model_fit.get_prediction(start=start_index,end=end_index, dynamic=False)\n", " df_temp = pd.DataFrame(\n", " {\n", " 'y':y_test['passengers'],\n", " 'yhat': preds.predicted_mean\n", " }\n", " )\n", " \n", " return df_temp\n", " \n", " def metrics(self,y,date):\n", " df_temp = self.df_testig(y,date)\n", " df_metrics = summary_metrics(df_temp)\n", " df_metrics['model'] = self.name_model\n", " \n", " return df_metrics" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# definir parametros \n", "\n", "import itertools\n", "\n", "p = d = q = range(0, 2)\n", "pdq = list(itertools.product(p, d, q))\n", "seasonal_pdq = [(x[0], x[1], x[2], 12) for x in list(itertools.product(p, d, q))]\n", "\n", "params = list(itertools.product(pdq,seasonal_pdq))\n", "target_date = '1958-01-01'" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# iterar para los distintos escenarios\n", "\n", "frames = []\n", "for param in params:\n", " try:\n", " sarima_model = SarimaModels(param)\n", " df_metrics = sarima_model.metrics(y,target_date)\n", " frames.append(df_metrics)\n", " except:\n", " pass" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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maemsermsemapemaapewmapemmapesmapemodel
016.4272406.511420.16210.04100.04090.03830.04090.0398SARIMA_(0,1,0)X(1,0,0,12)
017.7173469.834021.67570.04200.04190.04130.04190.0414SARIMA_(0,1,1)X(1,1,1,12)
017.7204480.976421.93120.04140.04140.04140.04130.0411SARIMA_(1,1,0)X(1,1,1,12)
017.8053501.060322.38440.04120.04110.04160.04110.0410SARIMA_(1,1,1)X(0,1,0,12)
017.8056505.416722.48150.04110.04100.04160.04100.0409SARIMA_(0,1,0)X(0,1,0,12)
..............................
094.944414674.5556121.13860.19890.19330.22160.19840.2320SARIMA_(0,1,0)X(0,0,0,12)
0360.7115150709.0664388.21270.82030.66870.84180.81841.5247SARIMA_(0,0,1)X(0,0,1,12)
0366.5303153175.7993391.37680.83700.68110.85540.83511.5623SARIMA_(0,0,0)X(0,0,1,12)
0422.9626187068.9748432.51470.98370.77450.98710.98141.9589SARIMA_(0,0,1)X(0,0,0,12)
0428.5000189730.5556435.58071.00000.78541.00000.99762.0000SARIMA_(0,0,0)X(0,0,0,12)
\n", "

64 rows × 9 columns

\n", "
" ], "text/plain": [ " mae mse rmse mape maape wmape mmape smape \\\n", "0 16.4272 406.5114 20.1621 0.0410 0.0409 0.0383 0.0409 0.0398 \n", "0 17.7173 469.8340 21.6757 0.0420 0.0419 0.0413 0.0419 0.0414 \n", "0 17.7204 480.9764 21.9312 0.0414 0.0414 0.0414 0.0413 0.0411 \n", "0 17.8053 501.0603 22.3844 0.0412 0.0411 0.0416 0.0411 0.0410 \n", "0 17.8056 505.4167 22.4815 0.0411 0.0410 0.0416 0.0410 0.0409 \n", ".. ... ... ... ... ... ... ... ... \n", "0 94.9444 14674.5556 121.1386 0.1989 0.1933 0.2216 0.1984 0.2320 \n", "0 360.7115 150709.0664 388.2127 0.8203 0.6687 0.8418 0.8184 1.5247 \n", "0 366.5303 153175.7993 391.3768 0.8370 0.6811 0.8554 0.8351 1.5623 \n", "0 422.9626 187068.9748 432.5147 0.9837 0.7745 0.9871 0.9814 1.9589 \n", "0 428.5000 189730.5556 435.5807 1.0000 0.7854 1.0000 0.9976 2.0000 \n", "\n", " model \n", "0 SARIMA_(0,1,0)X(1,0,0,12) \n", "0 SARIMA_(0,1,1)X(1,1,1,12) \n", "0 SARIMA_(1,1,0)X(1,1,1,12) \n", "0 SARIMA_(1,1,1)X(0,1,0,12) \n", "0 SARIMA_(0,1,0)X(0,1,0,12) \n", ".. ... \n", "0 SARIMA_(0,1,0)X(0,0,0,12) \n", "0 SARIMA_(0,0,1)X(0,0,1,12) \n", "0 SARIMA_(0,0,0)X(0,0,1,12) \n", "0 SARIMA_(0,0,1)X(0,0,0,12) \n", "0 SARIMA_(0,0,0)X(0,0,0,12) \n", "\n", "[64 rows x 9 columns]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# juntar resultados de las métricas y comparar\n", "df_metrics_result = pd.concat(frames)\n", "df_metrics_result.sort_values(['mae','mape'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "En este caso el mejor modelo resulta ser el modelo $SARIMA(0,1,0)X(1,0,0,12)$. Veamos gráficamente que tal el ajuste de este modelo." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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yyhat
date
1958-01-31340345.765806
1958-02-28318330.574552
1958-03-31362390.254476
1958-04-30348381.573760
1958-05-31363389.169386
\n", "
" ], "text/plain": [ " y yhat\n", "date \n", "1958-01-31 340 345.765806\n", "1958-02-28 318 330.574552\n", "1958-03-31 362 390.254476\n", "1958-04-30 348 381.573760\n", "1958-05-31 363 389.169386" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# ajustar mejor modelo\n", "\n", "param = [(0,1,0),(1,0,0,12)]\n", "sarima_model = SarimaModels(param)\n", "model_fit = sarima_model.fit_model(y,target_date)\n", "best_model = sarima_model.df_testig(y,target_date)\n", "best_model.head()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# graficar mejor modelo\n", "\n", "preds = best_model['yhat']\n", "ax = y['1949':].plot(label='observed')\n", "preds.plot(ax=ax, label='Forecast', alpha=.7, figsize=(14, 7))\n", "ax.set_xlabel('Date')\n", "ax.set_ylabel('Passengers')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para este caso, el mejor modelo encontrado se ajusta bastante bien a los datos.\n", "\n", "Finalmente, vemos algunos resultados del error asosciado al modelo. Para esto ocupamos la herramienta **plot_diagnostics**, el cual nos arroja cuatro gráficos analizando el error de diferentes manera." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# resultados del error \n", "model_fit.plot_diagnostics(figsize=(16, 8))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* **gráfico 01** (standarized residual): Este gráfico nos muestra el error estandarizado en el tiempo. En este caso se observa que esta nueva serie de tiempo corresponde a una serie estacionaria que oscila entorno al cero, es decir, un ruido blanco.\n", "\n", "\n", "* **gráfico 02** (histogram plus estimated density): Este gráfico nos muestra el histograma del error. En este caso, el histograma es muy similar al histograma de una variable $\\mathcal{N}(0,1)$ (ruido blanco).\n", "\n", "\n", "* **gráfico 03** (normal QQ): el gráfico Q-Q (\"Q\" viene de cuantil) es un método gráfico para el diagnóstico de diferencias entre la distribución de probabilidad de una población de la que se ha extraído una muestra aleatoria y una distribución usada para la comparación. En este caso se comparar la distribución del error versus una distribución normal. Cuando mejor es el ajuste lineal sobre los puntos, más parecida es la distribución entre la muestra obtenida y la distribución de prueba (distribución normal).\n", "\n", "\n", "\n", "\n", "* **gráfico 04** (correlogram): Este gráfico nos muestra el gráfico de autocorrelación entre las variables del error, se observa que no hay correlación entre ninguna de las variables, por lo que se puedan dar indicios de independencia entre las variables.\n", "\n", "\n", "En conclusión, el error asociado al modelo en estudio corresponde a un ruido blanco. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusión\n", "\n", "Este fue una introducción amigable a los conceptos claves de series temporales, a medida que más se profundice en la teoría, mejor serán las técnicas empleadas sobre la serie temporal en fin de obtener el mejor pronóstico posible.\n", "\n", "En esta sección nos limitamos a algunos modelos y algunos criterios de verificación de estacionariedad. En la literatura existen muchas más, pero con los mostrados de momento y un poco de expertice en el tema, se pueden abordar casi todos los problemas de series temporales." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Referencia\n", "\n", "\n", "1. [A comprehensive beginner’s guide to create a Time Series Forecast (with Codes in Python and R)](https://www.analyticsvidhya.com/blog/2016/02/time-series-forecasting-codes-python/)\n", "2. [A Gentle Introduction to SARIMA for Time Series Forecasting in Python](https://machinelearningmastery.com/sarima-for-time-series-forecasting-in-python/)\n", "3. [An Introductory Study on Time Series Modeling and Forecasting ](https://arxiv.org/pdf/1302.6613.pdf)" ] } ], "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": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 4 }