Descripción del dataset:
Columna | Descripción | Key |
---|---|---|
id | Identificador numérico de la vivienda | |
price | Precio de mercado de la vivienda | |
currency | Moneda | Euros / Mes |
latitude | Latitud de las coordenadas geográficas de la vivienda | |
longitude | Longitud de las coordenadas geográficas de la vivienda | |
sq_meters | Metros cuadrados de la vivienda | |
sq_meters_built | Metros cuadrados construídos de la vivienda | |
rooms | Número de habitaciones | |
bathrooms | Número de baños | |
balcony | Indicador si la vivienda tiene balcón | 1, 0 |
terrace | Indicador si la vivienda tiene terraza | 1, 0 |
exterior | Indicador si la vivienda tiene una orientación exterior o interior en el edificio | 1, 0 |
orientation | Orientación principal de la vivienda | norte, sur, este, oeste |
floor | Piso de la vivienda | |
rooftop | Indicador si la vivienda es un ático | 1, 0 |
elevator | Indicador si el edificio de la vivienda tiene ascensor | 1, 0 |
doorman | Indicador si el edificio tiene portero | 1,0 |
pool | Indicador si la vivienda cuenta con piscina o derecho de uso de piscina | 1,0 |
ac | Indicador si tiene aire acondicionado | 1,0 |
heating | Indicador si tiene calefacción | bomba, electric, gas, individual |
year_built | Año de construcción | |
quality | Indicador de calidad de la vivienda | 2 - En buen estado |
city | Ciudad de la vivienda | |
neighborhood | Barrio de la vivienda | |
dist_city_center | Distancia en kilómetros al centro de la ciudad | |
furniture | Indicador si la vivienda cuenta con mobiliario | 1: Sin Equipar; 2: Cocina Equipada; 3: Amueblado |
garage | Indicador si la vivienda tiene garage | 1, 0 |
property_type | Tipo de vivienda | |
garden | Indicador si la vivienda cuenta con jardín | 1,0 |
closest_station | Nombre de la estación de metro más cercana | |
dist_closest_station | Distancia en kilómetros a la estación de metro más cercana | |
created_at | Fecha de creación del anuncio | |
last_seen | Fecha última en la que el anuncio fue publicado en la web |
# Library load
import os
import pandas as pd
import numpy as np
# Plotting library
import seaborn as sn
import matplotlib.pyplot as plt
# Funciones para hacer cálculo estadístico
import statsmodels.api as sm
from statsmodels.formula.api import ols
# sklearn packages
from sklearn.preprocessing import StandardScaler # Análisis de PCA
from sklearn import metrics # Calcula métricas para un modelo
from sklearn import tree # Cálculo de decision trees
from sklearn.tree import DecisionTreeClassifier # Generación de modelos de decision tree
from sklearn.ensemble import BaggingClassifier # Generación de modelos de bagging
from sklearn.ensemble import RandomForestClassifier # Generación de modelo de random forest
from sklearn.ensemble import GradientBoostingClassifier
from sklearn.model_selection import train_test_split # Hace split entre training y testing
from sklearn.model_selection import cross_validate # trains model with cross validation
from sklearn.model_selection import GridSearchCV # Optimización de hiperparámetros para un modelo
from sklearn.preprocessing import OneHotEncoder # One Hot encoding de las variables categóricas
# Models
import catboost as cat
import ipywidgets
# Confusion matrix viz
from mlxtend.evaluate import confusion_matrix # Calcula la matriz de confusion
from mlxtend.plotting import plot_confusion_matrix #plot de la matriz de confusión
from mlxtend.classifier import StackingClassifier #stacking classifier
# Shap library
import shap
# print the JS visualization code to the notebook
shap.initjs()
# Ignoring warning messages
import warnings
warnings.filterwarnings('ignore') #ignora los errores en el notebook
Como se puede observar, el dataset original está formado por filas y 33 columnas. La variable price es la objetivo y el resto son variables predictoras como:
raw_data = pd.read_csv('processed_renting_Barcelona.csv', delimiter = ',')
raw_data.head()
id | price | currency | latitude | longitude | sq_meters | sq_meters_built | rooms | bathrooms | balcony | ... | neighborhood | dist_city_center | furniture | garage | property_type | garden | closest_station | dist_closest_station | created_at | last_seen | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 536625 | 850 | €/mes | 41.401708 | 2.154077 | 52.0 | 55 | 2 | 1 | NaN | ... | Gràcia | 2.026455 | 3.0 | NaN | piso | NaN | Fontana | 0.094111 | 9/1/2021 15:58 | 10/4/2021 6:01 |
1 | 545910 | 725 | €/mes | 41.407221 | 2.135569 | 32.0 | 37 | 2 | 1 | 1.0 | ... | Sant Gervasi - La Bonanova | 3.582409 | NaN | NaN | piso | NaN | Vallcarca | 0.902561 | 9/2/2021 15:24 | 9/8/2021 12:29 |
2 | 570697 | 950 | €/mes | 41.411508 | 2.164608 | NaN | 72 | 3 | 1 | NaN | ... | El Baix Guinardó | 2.663025 | 3.0 | NaN | piso | NaN | Alfons X | 0.188177 | 8/28/2021 23:52 | 8/28/2021 23:52 |
3 | 591588 | 750 | €/mes | 41.402256 | 2.140764 | NaN | 45 | 1 | 1 | 1.0 | ... | Sant Gervasi - La Bonanova | 2.910067 | 3.0 | NaN | piso | NaN | Lesseps | 0.892917 | 8/29/2021 11:25 | 9/8/2021 12:29 |
4 | 610243 | 990 | €/mes | 41.405327 | 2.146929 | NaN | 45 | 1 | 1 | NaN | ... | Sarrià-Sant Gervasi | 2.727149 | 3.0 | NaN | piso | NaN | Lesseps | 0.293784 | 8/30/2021 13:48 | 8/30/2021 14:04 |
5 rows × 33 columns
raw_data.shape
(8502, 33)
raw_data.columns
Index(['id', 'price', 'currency', 'latitude', 'longitude', 'sq_meters', 'sq_meters_built', 'rooms', 'bathrooms', 'balcony', 'terrace', 'exterior', 'orientation', 'floor', 'rooftop', 'elevator', 'doorman', 'pool', 'ac', 'heating', 'year_built', 'quality', 'city', 'neighborhood', 'dist_city_center', 'furniture', 'garage', 'property_type', 'garden', 'closest_station', 'dist_closest_station', 'created_at', 'last_seen'], dtype='object')
Como se puede apreciar, dicho dataset original contiene muchos valores nulos, por lo que a continuación se tratará de limpiar el conjunto de datos de la mejor manera posible, ya sea eliminando las instancias correspondientes o bien sustituyéndolas por algún valor como podría ser el 0.
raw_data.isnull().sum() / len(raw_data)
id 0.000000 price 0.000000 currency 0.000000 latitude 0.000000 longitude 0.000000 sq_meters 0.415785 sq_meters_built 0.000000 rooms 0.000000 bathrooms 0.000000 balcony 0.590096 terrace 0.773230 exterior 0.078335 orientation 0.566455 floor 0.231240 rooftop 0.927429 elevator 0.030228 doorman 1.000000 pool 0.962244 ac 0.519407 heating 0.356387 year_built 0.528817 quality 0.000000 city 0.000000 neighborhood 0.000000 dist_city_center 0.000000 furniture 0.147259 garage 0.954717 property_type 0.000235 garden 0.994001 closest_station 0.000000 dist_closest_station 0.000000 created_at 0.000000 last_seen 0.000000 dtype: float64
Antes de eso, sin embargo, se actualizará el valor de las variables price, rooms y bathrooms. Como en este proyecto lo que se pretende es que la variable sq_meters_built no tenga tanto peso, esta se eliminará y las tres variables iniciales se dividirán por los metros cuadrados de la vivienda:
raw_data['price'] = round(raw_data['price'] / raw_data['sq_meters_built'], 2).astype(int)
raw_data['rooms'] = round(raw_data['rooms'] / raw_data['sq_meters_built'], 2)
raw_data['bathrooms'] = round(raw_data['bathrooms'] / raw_data['sq_meters_built'], 2)
raw_data.head()
id | price | currency | latitude | longitude | sq_meters | sq_meters_built | rooms | bathrooms | balcony | ... | neighborhood | dist_city_center | furniture | garage | property_type | garden | closest_station | dist_closest_station | created_at | last_seen | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 536625 | 15 | €/mes | 41.401708 | 2.154077 | 52.0 | 55 | 0.04 | 0.02 | NaN | ... | Gràcia | 2.026455 | 3.0 | NaN | piso | NaN | Fontana | 0.094111 | 9/1/2021 15:58 | 10/4/2021 6:01 |
1 | 545910 | 19 | €/mes | 41.407221 | 2.135569 | 32.0 | 37 | 0.05 | 0.03 | 1.0 | ... | Sant Gervasi - La Bonanova | 3.582409 | NaN | NaN | piso | NaN | Vallcarca | 0.902561 | 9/2/2021 15:24 | 9/8/2021 12:29 |
2 | 570697 | 13 | €/mes | 41.411508 | 2.164608 | NaN | 72 | 0.04 | 0.01 | NaN | ... | El Baix Guinardó | 2.663025 | 3.0 | NaN | piso | NaN | Alfons X | 0.188177 | 8/28/2021 23:52 | 8/28/2021 23:52 |
3 | 591588 | 16 | €/mes | 41.402256 | 2.140764 | NaN | 45 | 0.02 | 0.02 | 1.0 | ... | Sant Gervasi - La Bonanova | 2.910067 | 3.0 | NaN | piso | NaN | Lesseps | 0.892917 | 8/29/2021 11:25 | 9/8/2021 12:29 |
4 | 610243 | 22 | €/mes | 41.405327 | 2.146929 | NaN | 45 | 0.02 | 0.02 | NaN | ... | Sarrià-Sant Gervasi | 2.727149 | 3.0 | NaN | piso | NaN | Lesseps | 0.293784 | 8/30/2021 13:48 | 8/30/2021 14:04 |
5 rows × 33 columns
A continuación se eliminan algunas variables que no se tendrán en cuenta en el modelo, como la moneda o la latitud y longitud de la vivienda:
raw_data = raw_data[['price', 'rooms', 'bathrooms', 'balcony', 'terrace', 'exterior', 'orientation', 'floor', 'rooftop', 'elevator', 'pool', 'ac', 'heating', 'year_built', 'neighborhood', 'dist_city_center', 'property_type', 'dist_closest_station']]
raw_data.head()
price | rooms | bathrooms | balcony | terrace | exterior | orientation | floor | rooftop | elevator | pool | ac | heating | year_built | neighborhood | dist_city_center | property_type | dist_closest_station | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 15 | 0.04 | 0.02 | NaN | NaN | 1.0 | norte | 2.0 | NaN | 0.0 | NaN | 1.0 | NaN | NaN | Gràcia | 2.026455 | piso | 0.094111 |
1 | 19 | 0.05 | 0.03 | 1.0 | NaN | 1.0 | sur | 3.0 | NaN | 1.0 | NaN | 1.0 | NaN | 1962.0 | Sant Gervasi - La Bonanova | 3.582409 | piso | 0.902561 |
2 | 13 | 0.04 | 0.01 | NaN | NaN | 1.0 | NaN | 4.0 | NaN | 1.0 | NaN | 1.0 | NaN | NaN | El Baix Guinardó | 2.663025 | piso | 0.188177 |
3 | 16 | 0.02 | 0.02 | 1.0 | NaN | 1.0 | norte | 4.0 | NaN | 1.0 | NaN | NaN | NaN | 1936.0 | Sant Gervasi - La Bonanova | 2.910067 | piso | 0.892917 |
4 | 22 | 0.02 | 0.02 | NaN | NaN | 1.0 | sur | 3.0 | NaN | 1.0 | NaN | NaN | gas | NaN | Sarrià-Sant Gervasi | 2.727149 | piso | 0.293784 |
Existen algunas variables obligatorias en el formulario de alta de una vivienda en la plataforma de la cual se han extraído los datos, sin embargo hay otras que no. Como las variables balcony, terrace, exterior, rooftop, elevator, pool y ac tienen muchos valores vacíos, en este ejercicio se ha supuesto que si no están informadas es porque no existe (terraza, piscina, etc.). Por tanto:
features_to_null = ['balcony', 'terrace', 'exterior', 'rooftop', 'elevator', 'pool', 'ac']
for i in range(0,len(features_to_null)):
raw_data[features_to_null[i]].fillna(0, inplace = True)
raw_data.head()
price | rooms | bathrooms | balcony | terrace | exterior | orientation | floor | rooftop | elevator | pool | ac | heating | year_built | neighborhood | dist_city_center | property_type | dist_closest_station | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 15 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | norte | 2.0 | 0.0 | 0.0 | 0.0 | 1.0 | NaN | NaN | Gràcia | 2.026455 | piso | 0.094111 |
1 | 19 | 0.05 | 0.03 | 1.0 | 0.0 | 1.0 | sur | 3.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | 1962.0 | Sant Gervasi - La Bonanova | 3.582409 | piso | 0.902561 |
2 | 13 | 0.04 | 0.01 | 0.0 | 0.0 | 1.0 | NaN | 4.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | NaN | El Baix Guinardó | 2.663025 | piso | 0.188177 |
3 | 16 | 0.02 | 0.02 | 1.0 | 0.0 | 1.0 | norte | 4.0 | 0.0 | 1.0 | 0.0 | 0.0 | NaN | 1936.0 | Sant Gervasi - La Bonanova | 2.910067 | piso | 0.892917 |
4 | 22 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | sur | 3.0 | 0.0 | 1.0 | 0.0 | 0.0 | gas | NaN | Sarrià-Sant Gervasi | 2.727149 | piso | 0.293784 |
El caso del año de construcción de la vivienda es ligeramente diferente, ya que si se transforma la variable original por una categórica que cuente los años de construcción se pueden diferenciar claramente algunos clusters de viviendas similares, como las construidas hace 40 - 70 años. Por esta razón, se genera una variable categórica nueva:
raw_data['property_age'] = 2022 - raw_data['year_built']
raw_data.head()
price | rooms | bathrooms | balcony | terrace | exterior | orientation | floor | rooftop | elevator | pool | ac | heating | year_built | neighborhood | dist_city_center | property_type | dist_closest_station | property_age | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 15 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | norte | 2.0 | 0.0 | 0.0 | 0.0 | 1.0 | NaN | NaN | Gràcia | 2.026455 | piso | 0.094111 | NaN |
1 | 19 | 0.05 | 0.03 | 1.0 | 0.0 | 1.0 | sur | 3.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | 1962.0 | Sant Gervasi - La Bonanova | 3.582409 | piso | 0.902561 | 60.0 |
2 | 13 | 0.04 | 0.01 | 0.0 | 0.0 | 1.0 | NaN | 4.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | NaN | El Baix Guinardó | 2.663025 | piso | 0.188177 | NaN |
3 | 16 | 0.02 | 0.02 | 1.0 | 0.0 | 1.0 | norte | 4.0 | 0.0 | 1.0 | 0.0 | 0.0 | NaN | 1936.0 | Sant Gervasi - La Bonanova | 2.910067 | piso | 0.892917 | 86.0 |
4 | 22 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | sur | 3.0 | 0.0 | 1.0 | 0.0 | 0.0 | gas | NaN | Sarrià-Sant Gervasi | 2.727149 | piso | 0.293784 | NaN |
raw_data[['property_age']].hist(bins=60, figsize=(10, 8))
array([[<AxesSubplot:title={'center':'property_age'}>]], dtype=object)
def conditions(x):
if x < 0:
return "Unknown"
elif ((x >= 0) & (x < 40)):
return "0 - 40"
elif ((x >= 40) & (x < 70)):
return "40 - 70"
elif ((x >= 70) & (x < 120)):
return "70 - 120"
elif ((x >= 120) & (x < 150)):
return "120 - 150"
elif ((x >= 150)):
return "+150"
else:
return "Unknown"
func = np.vectorize(conditions)
raw_data['property_age_cat'] = func(raw_data['property_age'])
raw_data = raw_data.drop(['property_age','year_built'], axis=1)
raw_data.head()
price | rooms | bathrooms | balcony | terrace | exterior | orientation | floor | rooftop | elevator | pool | ac | heating | neighborhood | dist_city_center | property_type | dist_closest_station | property_age_cat | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 15 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | norte | 2.0 | 0.0 | 0.0 | 0.0 | 1.0 | NaN | Gràcia | 2.026455 | piso | 0.094111 | Unknown |
1 | 19 | 0.05 | 0.03 | 1.0 | 0.0 | 1.0 | sur | 3.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | Sant Gervasi - La Bonanova | 3.582409 | piso | 0.902561 | 40 - 70 |
2 | 13 | 0.04 | 0.01 | 0.0 | 0.0 | 1.0 | NaN | 4.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | El Baix Guinardó | 2.663025 | piso | 0.188177 | Unknown |
3 | 16 | 0.02 | 0.02 | 1.0 | 0.0 | 1.0 | norte | 4.0 | 0.0 | 1.0 | 0.0 | 0.0 | NaN | Sant Gervasi - La Bonanova | 2.910067 | piso | 0.892917 | 70 - 120 |
4 | 22 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | sur | 3.0 | 0.0 | 1.0 | 0.0 | 0.0 | gas | Sarrià-Sant Gervasi | 2.727149 | piso | 0.293784 | Unknown |
Después de este tratamiento inicial, las variables categóricas que se disponen son las siguientes. En caso de valores nulos, en este caso se sustituirán por un valor unknown:
features_to_unknown = ['neighborhood', 'property_type', 'orientation', 'heating', 'property_age_cat', 'floor']
for i in range(0,len(features_to_unknown)):
raw_data[features_to_unknown[i]].fillna("Unknown", inplace = True)
raw_data.head()
price | rooms | bathrooms | balcony | terrace | exterior | orientation | floor | rooftop | elevator | pool | ac | heating | neighborhood | dist_city_center | property_type | dist_closest_station | property_age_cat | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 15 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | norte | 2.0 | 0.0 | 0.0 | 0.0 | 1.0 | Unknown | Gràcia | 2.026455 | piso | 0.094111 | Unknown |
1 | 19 | 0.05 | 0.03 | 1.0 | 0.0 | 1.0 | sur | 3.0 | 0.0 | 1.0 | 0.0 | 1.0 | Unknown | Sant Gervasi - La Bonanova | 3.582409 | piso | 0.902561 | 40 - 70 |
2 | 13 | 0.04 | 0.01 | 0.0 | 0.0 | 1.0 | Unknown | 4.0 | 0.0 | 1.0 | 0.0 | 1.0 | Unknown | El Baix Guinardó | 2.663025 | piso | 0.188177 | Unknown |
3 | 16 | 0.02 | 0.02 | 1.0 | 0.0 | 1.0 | norte | 4.0 | 0.0 | 1.0 | 0.0 | 0.0 | Unknown | Sant Gervasi - La Bonanova | 2.910067 | piso | 0.892917 | 70 - 120 |
4 | 22 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | sur | 3.0 | 0.0 | 1.0 | 0.0 | 0.0 | gas | Sarrià-Sant Gervasi | 2.727149 | piso | 0.293784 | Unknown |
Finalmente se puede comprobar como se han eliminado todos los valores vacíos. El número de viviendas del dataset se mantiene igual, pero las variables predictivas han pasado de 32 a 17:
raw_data.isnull().sum() / len(raw_data)
price 0.0 rooms 0.0 bathrooms 0.0 balcony 0.0 terrace 0.0 exterior 0.0 orientation 0.0 floor 0.0 rooftop 0.0 elevator 0.0 pool 0.0 ac 0.0 heating 0.0 neighborhood 0.0 dist_city_center 0.0 property_type 0.0 dist_closest_station 0.0 property_age_cat 0.0 dtype: float64
raw_data.shape
(8502, 18)
rent_dataset = raw_data
Como se puede observar:
rent_dataset.describe()
price | rooms | bathrooms | balcony | terrace | exterior | rooftop | elevator | pool | ac | dist_city_center | dist_closest_station | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
count | 8502.000000 | 8502.000000 | 8502.000000 | 8502.000000 | 8502.000000 | 8502.000000 | 8502.000000 | 8502.000000 | 8502.000000 | 8502.000000 | 8502.000000 | 8502.000000 |
mean | 15.453305 | 0.029426 | 0.019048 | 0.409904 | 0.226770 | 0.811103 | 0.072571 | 0.663138 | 0.037756 | 0.480593 | 2.616749 | 0.392531 |
std | 5.553929 | 0.013987 | 0.007362 | 0.491845 | 0.418767 | 0.391450 | 0.259447 | 0.472665 | 0.190616 | 0.499653 | 1.409102 | 0.290708 |
min | 1.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.062165 | 0.007875 |
25% | 12.000000 | 0.020000 | 0.010000 | 0.000000 | 0.000000 | 1.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 1.475110 | 0.225168 |
50% | 14.000000 | 0.030000 | 0.020000 | 0.000000 | 0.000000 | 1.000000 | 0.000000 | 1.000000 | 0.000000 | 0.000000 | 2.481490 | 0.325357 |
75% | 17.000000 | 0.040000 | 0.020000 | 1.000000 | 0.000000 | 1.000000 | 0.000000 | 1.000000 | 0.000000 | 1.000000 | 3.589782 | 0.453814 |
max | 89.000000 | 0.080000 | 0.090000 | 1.000000 | 1.000000 | 1.000000 | 1.000000 | 1.000000 | 1.000000 | 1.000000 | 8.940761 | 3.177445 |
sn.distplot(rent_dataset['price'], kde = False, bins = 30)
<AxesSubplot:xlabel='price'>
boxplot_variables = ['dist_city_center','dist_closest_station']
for i in boxplot_variables:
sn.boxplot(y=rent_dataset[i], palette="Blues")
plt.show()
El hecho de dividir el precio por m2 ha supuesto que no se observe una diferencia ´tan clara entre el aumento que supone disponer o de aire acondicionado o ascensor, aunque sí se puede apreciar una mayor concentración de viviendas con un precio más elevado cuando sí los tienen.
boxplot_variables = ['ac','elevator']
for i in boxplot_variables:
sn.scatterplot(data=rent_dataset, x=i, y="price")
plt.show()
Otra consecuencia de haber dividido el precio, el número de habitaciones y el de baños por los metros cuadrados es la mayor limitación a la hora de comprender el dataset, como por ejemplo se puede ver en el siguiente gráfico. Una vivienda de 50 m2 con una habitación y una de 100 m2 con dos tienen un ratio habitaciones/m2 de 0,02, pero son tipos de vivienda muy diferentes.
sn.countplot(x = 'rooms', data = rent_dataset)
<AxesSubplot:xlabel='rooms', ylabel='count'>
Si se observar junto con el precio sí se puede obtener más información, porque indirectamente se puede saber si la vivienda del ejemplo anterior es más grande o no. En este caso, viviendas un ratio habitaciones/m2 más pequeño son más caras, algo normal ya que son viviendas más pequeñas y de las que se puede obtener más rentabilidad por metro cuadrado. Cuando pasan a ser muy grandes, como una vivienda de ratio 0,04 (5 baños y 175 m2), por ejemplo, el €/m3 comienza a bajar.
sn.jointplot(x = rent_dataset['rooms'], y = rent_dataset['price'], data = rent_dataset)
<seaborn.axisgrid.JointGrid at 0x7f575a2ffb20>
Si se realiza un test ANOVA respecto al precio y las variables categóricas descritas anteriormente se puede observar que las más afectan al precio son:
Entre las que destacan:
Y las que no:
cat_features = ['neighborhood', 'property_type', 'orientation', 'heating', 'property_age_cat', 'floor', 'balcony',
'terrace', 'exterior', 'rooftop', 'elevator', 'pool', 'ac']
# Test ANOVA
for i in range(0, len(cat_features)):
model_def = 'price ~ ' + cat_features[i]
anova_model = ols(model_def, data=rent_dataset).fit()
aov_table = sm.stats.anova_lm(anova_model, typ=2)
print(aov_table)
sum_sq df F PR(>F) neighborhood 43764.955568 75.0 22.507057 3.556900e-273 Residual 218458.006558 8426.0 NaN NaN sum_sq df F PR(>F) property_type 13261.265547 8.0 56.548823 3.278467e-90 Residual 248961.696579 8493.0 NaN NaN sum_sq df F PR(>F) orientation 558.211870 4.0 4.531682 0.001175 Residual 261664.750256 8497.0 NaN NaN sum_sq df F PR(>F) heating 7563.597940 5.0 50.467673 1.041002e-51 Residual 254659.364186 8496.0 NaN NaN sum_sq df F PR(>F) property_age_cat 6892.799469 5.0 45.87098 6.466751e-47 Residual 255330.162658 8496.0 NaN NaN sum_sq df F PR(>F) floor 6209.453694 25.0 8.223211 6.782647e-30 Residual 256013.508432 8476.0 NaN NaN sum_sq df F PR(>F) balcony 384.971044 1.0 12.497246 0.00041 Residual 261837.991082 8500.0 NaN NaN sum_sq df F PR(>F) terrace 3202.567473 1.0 105.09529 1.616382e-24 Residual 259020.394654 8500.0 NaN NaN sum_sq df F PR(>F) exterior 619.046459 1.0 20.113976 0.000007 Residual 261603.915667 8500.0 NaN NaN sum_sq df F PR(>F) rooftop 3353.734264 1.0 110.120239 1.321893e-25 Residual 258869.227863 8500.0 NaN NaN sum_sq df F PR(>F) elevator 38.175565 1.0 1.237647 0.265956 Residual 262184.786562 8500.0 NaN NaN sum_sq df F PR(>F) pool 10228.773198 1.0 345.0261 1.583330e-75 Residual 251994.188929 8500.0 NaN NaN sum_sq df F PR(>F) ac 20244.728016 1.0 711.139119 1.554251e-150 Residual 241978.234110 8500.0 NaN NaN
El primer paso para aplicar el PCA será eliminar del dataset las variables categóricas y la del precio:
features_to_drop_pca = ['neighborhood', 'property_type', 'orientation', 'heating', 'property_age_cat', 'floor']
rent_dataset_numeric = rent_dataset.drop(features_to_drop_pca, axis = 1)
rent_dataset_numeric_pca = rent_dataset_numeric.drop(['price'], axis = 1)
rent_dataset_numeric_pca.head()
rooms | bathrooms | balcony | terrace | exterior | rooftop | elevator | pool | ac | dist_city_center | dist_closest_station | |
---|---|---|---|---|---|---|---|---|---|---|---|
0 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | 2.026455 | 0.094111 |
1 | 0.05 | 0.03 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 3.582409 | 0.902561 |
2 | 0.04 | 0.01 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 2.663025 | 0.188177 |
3 | 0.02 | 0.02 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | 2.910067 | 0.892917 |
4 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | 2.727149 | 0.293784 |
A continuación, se importa el módulo PCA y se ejecuta solicitando que se generen dos componentes principales:
# Escalado de los datos previo a aplicar el PCA
scaler = StandardScaler()
scaler.fit(rent_dataset_numeric_pca)
scaled_data = scaler.transform(rent_dataset_numeric_pca)
from sklearn.decomposition import PCA
# Importado el PCA, se solicita que se generen únicamente dos componentes
pca = PCA(n_components = 2)
pca.fit(scaled_data)
x_pca = pca.transform(scaled_data)
Como se puede observar, los dos componentes permiten explicar el precio diferenciando por el caso de que tengan aire acondicionado o no:
plt.figure(figsize=(8,6))
plt.scatter(x_pca[:,0],x_pca[:,1],c=rent_dataset_numeric_pca['ac'])
plt.xlabel('First Principal Component')
plt.ylabel('Second Principal Component')
Text(0, 0.5, 'Second Principal Component')
Sin embargo, es cierto que estos dos componentes únicamente explican el 30% de la varianza de los datos:
explained_variance = pca.explained_variance_ratio_
explained_variance
array([0.1613582 , 0.13044271])
En este caso, para los componentes 1 y 2 las variables más relevantes son las siguientes:
loadings = pca.components_.T
df_loadings = pd.DataFrame(loadings, columns = ['PC1','PC2'], index = rent_dataset_numeric_pca.columns)
df_loadings
PC1 | PC2 | |
---|---|---|
rooms | -0.306582 | -0.477814 |
bathrooms | -0.083807 | 0.502522 |
balcony | -0.156647 | -0.032369 |
terrace | 0.525570 | -0.034859 |
exterior | 0.063775 | -0.093919 |
rooftop | 0.310598 | 0.114697 |
elevator | 0.231825 | -0.245782 |
pool | 0.383905 | -0.028045 |
ac | 0.399751 | 0.205652 |
dist_city_center | 0.119307 | -0.598496 |
dist_closest_station | 0.350032 | -0.182321 |
Como se ha podido observar mediente el análisis descriptivo y el PCA/Anova:
Como el algoritmo bagging no permite variables categóricas, el dataset a utilizar será el siguiente:
rent_dataset_numeric.columns
Index(['price', 'rooms', 'bathrooms', 'balcony', 'terrace', 'exterior', 'rooftop', 'elevator', 'pool', 'ac', 'dist_city_center', 'dist_closest_station'], dtype='object')
rent_dataset_numeric.isnull().sum() / len(rent_dataset_numeric)
price 0.0 rooms 0.0 bathrooms 0.0 balcony 0.0 terrace 0.0 exterior 0.0 rooftop 0.0 elevator 0.0 pool 0.0 ac 0.0 dist_city_center 0.0 dist_closest_station 0.0 dtype: float64
X = rent_dataset_numeric.drop(['price'], axis = 1)
y = rent_dataset_numeric[['price']]
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=7)
En este caso, como se puede observar, los parámetros más óptimos del árbol de decisión que se utilizará como weak learner son:
# we enumerate the values to try
parameters = [{"max_depth":[2,3,4,5,6,7,9], "min_samples_split":[2,5,10]}]
#instantiate the classifier
decision_tree_model = DecisionTreeClassifier()
# Grid search function
grid_bag = GridSearchCV(cv = 10, estimator=decision_tree_model, param_grid=parameters, scoring="r2")
grid_bag.fit(X_train, y_train)
GridSearchCV(cv=10, estimator=DecisionTreeClassifier(), param_grid=[{'max_depth': [2, 3, 4, 5, 6, 7, 9], 'min_samples_split': [2, 5, 10]}], scoring='r2')
grid_bag.best_params_
{'max_depth': 7, 'min_samples_split': 5}
A continuación, el número ideal de bags obtenido es de 50:
# Valores a probar
parameters = {"n_estimators":[1,5,10,20,50,100,200]}
# Incialización del árbol de decisión
decision_tree_model = DecisionTreeClassifier(max_depth = 7, min_samples_split = 5)
# Creación del modelo
bagging_model = BaggingClassifier(decision_tree_model)
# Función Grid search
grid_bag = GridSearchCV(cv = 10, estimator=bagging_model, param_grid=parameters, scoring="r2")
grid_bag.fit(X_train, y_train)
grid_bag.best_params_
{'n_estimators': 50}
# Creamos el modelo con los hiperpametros seleccionados en el punto anterior
bag = BaggingClassifier(DecisionTreeClassifier(max_depth = 7, min_samples_split = 5), n_estimators = 20)
# Entrenamos el modelo con el dataset de entrenamiento mediante cross validation
model = cross_validate(bag, X_train, y_train, cv = 10, scoring = "r2")
for i, score in enumerate(model["test_score"]):
print(f"Accuracy for the fold no. {i} on the test set: {score}")
Accuracy for the fold no. 0 on the test set: 0.2141460183030216 Accuracy for the fold no. 1 on the test set: 0.3166585609745194 Accuracy for the fold no. 2 on the test set: 0.2623841971200743 Accuracy for the fold no. 3 on the test set: 0.3385823380284049 Accuracy for the fold no. 4 on the test set: 0.19393793685211624 Accuracy for the fold no. 5 on the test set: 0.2337388877089719 Accuracy for the fold no. 6 on the test set: 0.35719663202255625 Accuracy for the fold no. 7 on the test set: 0.3257687290776391 Accuracy for the fold no. 8 on the test set: 0.30630391873346474 Accuracy for the fold no. 9 on the test set: 0.39177080069825354
fig1, ax1 = plt.subplots()
ax1.set_title('R2 del modelo de Bagging')
ax1.boxplot(model["test_score"])
{'whiskers': [<matplotlib.lines.Line2D at 0x7f578e1e2730>, <matplotlib.lines.Line2D at 0x7f578e1e29a0>], 'caps': [<matplotlib.lines.Line2D at 0x7f578e1e24c0>, <matplotlib.lines.Line2D at 0x7f575a7a8ee0>], 'boxes': [<matplotlib.lines.Line2D at 0x7f578e1d9160>], 'medians': [<matplotlib.lines.Line2D at 0x7f575a7a8190>], 'fliers': [<matplotlib.lines.Line2D at 0x7f575a7a8ac0>], 'means': []}
Como se puede observar, el r2 en training es superior al de test, pero ambos son muy bajos. Gráficamente se puede observar una gran dispersión entre los datos de test y los que ha predicho el modelo:
bag.fit(X_train, y_train)
y_pred = bag.predict(X_train)
# Error r2
metrics.r2_score(y_train, y_pred)
0.37181559350887916
y_pred = bag.predict(X_test)
# Error r2
metrics.r2_score(y_test, y_pred)
0.2894757667633925
plt.figure(figsize=(10,10))
plt.scatter(y_pred, y_test.iloc[:,0], c='crimson')
plt.xlabel("Predicted")
plt.ylabel("Test")
Text(0, 0.5, 'Test')
El algoritmo de random forest sí permite aplicar variables categóricas, por lo que en este modelo se utilizarán principalmente dos:
Por tanto, se elimina el resto del dataset (de las que no son 0-1):
cat_features_todrop_randomforest = ['property_type', 'orientation', 'heating', 'floor']
rent_dataset_numeric_randomforest = rent_dataset.drop(cat_features_todrop_randomforest, axis = 1)
El paso siguiente será realizar un OneHotEncoding de estas dos variables, ya que aunque sí acepta este tipo de variables, únicamente lo hace si se las informa de esta manera:
# Variables a las que aplicar el OneHotEncoding
cat_features_randomforest = ['neighborhood','property_age_cat']
# Generación del OneHotEnconder
enc = OneHotEncoder(handle_unknown='ignore')
for i in cat_features_randomforest:
enc_df = pd.DataFrame(enc.fit_transform(rent_dataset_numeric_randomforest[[i]]).toarray())
enc_df.columns = enc.categories_[0]
enc_df = enc_df.add_prefix(i + '_')
rent_dataset_numeric_randomforest = rent_dataset_numeric_randomforest.join(enc_df)
# Eliminar las variables iniciales
rent_dataset_numeric_randomforest = rent_dataset_numeric_randomforest.drop(cat_features_randomforest, axis = 1)
rent_dataset_numeric_randomforest.head()
price | rooms | bathrooms | balcony | terrace | exterior | rooftop | elevator | pool | ac | ... | neighborhood_Vallvidrera - El Tibidabo i les Planes | neighborhood_Verdun | neighborhood_Vila de Gràcia | neighborhood_Vilapicina i la Torre Llobeta | property_age_cat_+150 | property_age_cat_0 - 40 | property_age_cat_120 - 150 | property_age_cat_40 - 70 | property_age_cat_70 - 120 | property_age_cat_Unknown | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 15 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 1.0 |
1 | 19 | 0.05 | 0.03 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 |
2 | 13 | 0.04 | 0.01 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 1.0 |
3 | 16 | 0.02 | 0.02 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 1.0 | 0.0 |
4 | 22 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 1.0 |
5 rows × 94 columns
Llegados a este momento también se puede comprobar como no quedan valores vacíos:
rent_dataset_numeric_randomforest.isnull().sum() / len(rent_dataset_numeric_randomforest)
price 0.0 rooms 0.0 bathrooms 0.0 balcony 0.0 terrace 0.0 ... property_age_cat_0 - 40 0.0 property_age_cat_120 - 150 0.0 property_age_cat_40 - 70 0.0 property_age_cat_70 - 120 0.0 property_age_cat_Unknown 0.0 Length: 94, dtype: float64
X = rent_dataset_numeric_randomforest.drop(['price'], axis = 1)
y = rent_dataset_numeric_randomforest[['price']]
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=7)
Los parámetros más óptimos del árbol de decisión que se utilizará como weak learner son:
# Valores a probar
parameters = [{"n_estimators":[100,150,200], "max_depth": [5,10,15]}]
# Incialización del árbol de decisión
rf_cv = RandomForestClassifier()
# Función Grid search
grid_rf = GridSearchCV(cv = 10, estimator=rf_cv, param_grid=parameters, scoring="r2")
grid_rf.fit(X_train, y_train)
grid_rf.best_params_
{'max_depth': 15, 'n_estimators': 100}
A continuación se entrena el modelo con los parámetros calculados previamente:
# Creamos el modelo con los hiperpametros seleccionados en el punto anterior
rf = RandomForestClassifier(n_estimators = 100, max_depth=15)
# Entrenamos el modelo con el dataset de entrenamiento mediante cross validation
model = cross_validate(rf, X_train, y_train, cv = 10, scoring = "r2")
for i, score in enumerate(model["test_score"]):
print(f"Accuracy for the fold no. {i} on the test set: {score}")
Accuracy for the fold no. 0 on the test set: 0.2601397978519533 Accuracy for the fold no. 1 on the test set: 0.19684947301804234 Accuracy for the fold no. 2 on the test set: 0.23592911452575027 Accuracy for the fold no. 3 on the test set: 0.31371815931498925 Accuracy for the fold no. 4 on the test set: 0.3478154688045383 Accuracy for the fold no. 5 on the test set: 0.2799023028611306 Accuracy for the fold no. 6 on the test set: 0.28256024348143716 Accuracy for the fold no. 7 on the test set: 0.3321433534528978 Accuracy for the fold no. 8 on the test set: 0.2822479975103638 Accuracy for the fold no. 9 on the test set: 0.27205413733544803
fig1, ax1 = plt.subplots()
ax1.set_title('R2 del modelo de Random Forest')
ax1.boxplot(model["test_score"])
{'whiskers': [<matplotlib.lines.Line2D at 0x7f578c07d880>, <matplotlib.lines.Line2D at 0x7f578c07dc10>], 'caps': [<matplotlib.lines.Line2D at 0x7f578c07dfa0>, <matplotlib.lines.Line2D at 0x7f578c07b370>], 'boxes': [<matplotlib.lines.Line2D at 0x7f578c07d4f0>], 'medians': [<matplotlib.lines.Line2D at 0x7f578c07b700>], 'fliers': [<matplotlib.lines.Line2D at 0x7f578c07ba90>], 'means': []}
En este caso, el r2 en train es del 93%, pero baja demasiado en test. Por tanto, parece haber cierto sobreentrenamiento del modelo, algo que se tratará de solucionar en el algoritmo de boosting:
rf.fit(X_train, y_train)
y_pred = rf.predict(X_train)
# Error r2
metrics.r2_score(y_train, y_pred)
0.8158399063686976
y_pred = rf.predict(X_test)
# Error r2
metrics.r2_score(y_test, y_pred)
0.27850020375723883
En este caso, se intentará eliminar este sobreentrenamiento generando una nueva variable categórica para el barrio. Antes, sin embargo, se eliminarán algunas de ellas por su poca importancia en el precio:
rent_dataset_catboost = rent_dataset
# Se eliminan estas tres variables categóricas debido a su poca importancia
cat_features_todrop_catboost = ['orientation', 'heating', 'floor']
rent_dataset_catboost = rent_dataset_catboost.drop(cat_features_todrop_catboost, axis = 1)
rent_dataset_catboost.head()
price | rooms | bathrooms | balcony | terrace | exterior | rooftop | elevator | pool | ac | neighborhood | dist_city_center | property_type | dist_closest_station | property_age_cat | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 15 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | Gràcia | 2.026455 | piso | 0.094111 | Unknown |
1 | 19 | 0.05 | 0.03 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | Sant Gervasi - La Bonanova | 3.582409 | piso | 0.902561 | 40 - 70 |
2 | 13 | 0.04 | 0.01 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | El Baix Guinardó | 2.663025 | piso | 0.188177 | Unknown |
3 | 16 | 0.02 | 0.02 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | Sant Gervasi - La Bonanova | 2.910067 | piso | 0.892917 | 70 - 120 |
4 | 22 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | Sarrià-Sant Gervasi | 2.727149 | piso | 0.293784 | Unknown |
Al graficar el precio se aprecian algunos intervalos de precio bastante definidos, como pueden ser:
Por tanto, para intentar mejorar la eficiencia del algoritmo se creará una nueva variable llamada neighbourhood_rent_index que intentará agrupar los barrios en 4 índices de precios:
rent_dataset_catboost[['price']].hist(bins=60, figsize=(10, 8))
array([[<AxesSubplot:title={'center':'price'}>]], dtype=object)
def conditions(x):
if x < 0:
return "Unknown"
elif ((x >= 0) & (x < 15)):
return "0 - 15"
elif ((x >= 15) & (x < 25)):
return "15 - 25"
elif ((x >= 25) & (x < 35)):
return "25 - 35"
elif ((x >= 35)):
return "+35"
else:
return "Unknown"
func = np.vectorize(conditions)
rent_dataset_catboost['neighborhood_rent_index'] = func(rent_dataset_catboost['price'])
# Se elimina la variable neighborhood original
rent_dataset_catboost = rent_dataset_catboost.drop('neighborhood', axis = 1)
rent_dataset_catboost.head()
price | rooms | bathrooms | balcony | terrace | exterior | rooftop | elevator | pool | ac | dist_city_center | property_type | dist_closest_station | property_age_cat | neighborhood_rent_index | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 15 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | 2.026455 | piso | 0.094111 | Unknown | 15 - 25 |
1 | 19 | 0.05 | 0.03 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 3.582409 | piso | 0.902561 | 40 - 70 | 15 - 25 |
2 | 13 | 0.04 | 0.01 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 2.663025 | piso | 0.188177 | Unknown | 0 - 15 |
3 | 16 | 0.02 | 0.02 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | 2.910067 | piso | 0.892917 | 70 - 120 | 15 - 25 |
4 | 22 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | 2.727149 | piso | 0.293784 | Unknown | 15 - 25 |
# Como el CatBoost acepta variables categóricas no hay que aplicar el OneHotEncoder, solo informar cuáles son
cat_features_catboost = ['property_type', 'property_age_cat', 'neighborhood_rent_index']
for i in range(0,len(cat_features_catboost)):
rent_dataset_catboost[cat_features_catboost[i]].astype("category")
rent_dataset_catboost.head()
price | rooms | bathrooms | balcony | terrace | exterior | rooftop | elevator | pool | ac | dist_city_center | property_type | dist_closest_station | property_age_cat | neighborhood_rent_index | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 15 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | 2.026455 | piso | 0.094111 | Unknown | 15 - 25 |
1 | 19 | 0.05 | 0.03 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 3.582409 | piso | 0.902561 | 40 - 70 | 15 - 25 |
2 | 13 | 0.04 | 0.01 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 2.663025 | piso | 0.188177 | Unknown | 0 - 15 |
3 | 16 | 0.02 | 0.02 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | 2.910067 | piso | 0.892917 | 70 - 120 | 15 - 25 |
4 | 22 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | 2.727149 | piso | 0.293784 | Unknown | 15 - 25 |
# Target and variable
X = rent_dataset_catboost.drop(['price'], axis = 1)
y = rent_dataset_catboost[['price']]
# Split in training and test
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=7)
# create a train/test split with catboost
d_train_cat = cat.Pool(X_train, y_train, cat_features = cat_features_catboost)
d_test_cat = cat.Pool(X_test, y_test, cat_features = cat_features_catboost)
Con el siguiente grid search se pretenden obtener los valores más óptimos del learning rate y el depth. Los resultados son:
NOTA: se adjunta la imagen en jpg para que se pueda visualizar el resultado sin ejecutarlo:
model = cat.CatBoostRegressor()
grid = {'learning_rate': [0.03, 0.015], 'depth': [6, 8, 10, 12]}
grid_search_result = model.grid_search(grid, d_train_cat, plot=True)
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grid_search_result['params']
{'depth': 8, 'learning_rate': 0.03}
Aplicando los parámetros obtenidos en el apartado anterior, se procede a entrenar el modelo mediante el 10-Fold Cross Validation. Como se puede apreciar, a partir de las 400 iteraciones, aproximadamente, no se percibe mejora en la eficiencia del algoritmo, por lo que será el valor a utilizar:
NOTA: se adjunta la imagen en jpg para que se pueda visualizar el resultado sin ejecutarlo:
# Model cross validation
params = {"iterations": 1800
, "depth": 8
, "loss_function": "RMSE"
, "learning_rate": 0.03
, "verbose": False
, "subsample": 0.7}
scores = cat.cv(d_train_cat
, params
, fold_count = 10
, plot = "True")
MetricVisualizer(layout=Layout(align_self='stretch', height='500px'))
Training on fold [0/10] bestTest = 1.853380957 bestIteration = 557 Training on fold [1/10] bestTest = 2.84677616 bestIteration = 358 Training on fold [2/10] bestTest = 1.897903009 bestIteration = 397 Training on fold [3/10] bestTest = 2.035888661 bestIteration = 394 Training on fold [4/10] bestTest = 1.852814091 bestIteration = 1335 Training on fold [5/10] bestTest = 2.112329364 bestIteration = 661 Training on fold [6/10] bestTest = 1.874356255 bestIteration = 389 Training on fold [7/10] bestTest = 1.933521991 bestIteration = 474 Training on fold [8/10] bestTest = 1.893649935 bestIteration = 171 Training on fold [9/10] bestTest = 2.101454577 bestIteration = 1535
Finalmente, el modelo generado es el siguiente:
model_cat = cat.CatBoostRegressor(iterations = 400
, learning_rate = 0.03
, loss_function = "RMSE"
, random_seed = 2
, depth = 8
, subsample=0.7)
model_cat.fit(d_train_cat
, eval_set = d_test_cat
, verbose_eval=500
, plot = True)
MetricVisualizer(layout=Layout(align_self='stretch', height='500px'))
0: learn: 5.3762123 test: 5.5858866 best: 5.5858866 (0) total: 5.8ms remaining: 2.31s 399: learn: 1.7326676 test: 2.0514967 best: 2.0415577 (237) total: 3.53s remaining: 0us bestTest = 2.041557692 bestIteration = 237 Shrink model to first 238 iterations.
<catboost.core.CatBoostRegressor at 0x7f5759d3eb50>
Con estos cambios, como se puede apreciar, se ha conseguido una accuracy del modelo muy alta tanto en train como en test:
y_pred = model_cat.predict(X_train)
#error rate
metrics.r2_score(y_train, y_pred)
0.8883282403610695
y_pred = model_cat.predict(X_test)
# Error r2
metrics.r2_score(y_test, y_pred)
0.8728539089601624
De hecho, la variable más importante, de largo, es la creada para este modelo (el índice de precio del barrio), algo que se puede ver si se grafica la salida el y_pred
plt.figure(figsize=(10,10))
plt.scatter(y_pred, y_test.iloc[:,0], c='crimson')
plt.xlabel("Predicted")
plt.ylabel("Test")
Text(0, 0.5, 'Test')
cat_importance = pd.DataFrame({"Features": model_cat.feature_names_
, "Importance": model_cat.feature_importances_}
).sort_values('Importance', ascending=False)
cat_importance
Features | Importance | |
---|---|---|
13 | neighborhood_rent_index | 80.911545 |
1 | bathrooms | 7.261205 |
9 | dist_city_center | 3.110629 |
11 | dist_closest_station | 1.953926 |
0 | rooms | 1.522709 |
8 | ac | 1.208751 |
7 | pool | 0.984129 |
12 | property_age_cat | 0.740397 |
6 | elevator | 0.729009 |
3 | terrace | 0.695189 |
4 | exterior | 0.265351 |
10 | property_type | 0.259400 |
5 | rooftop | 0.234405 |
2 | balcony | 0.123355 |
plt.rcdefaults()
fig, ax = plt.subplots()
ax.barh(y = 'Features'
, width = 'Importance'
, data = cat_importance)
ax.invert_yaxis() # labels read top-to-bottom
El primer paso será aplicar el TreeExplainer al modelo de Boosting generado previamente:
explainer_cat = shap.TreeExplainer(model_cat)
shap_values_cat = explainer_cat.shap_values(X_train)
El resultado es un ejemplo como este:
print("CATBoost Shap visualization for instance 0")
shap.force_plot(explainer_cat.expected_value, shap_values_cat[0,:], X_train.iloc[410,:])
CATBoost Shap visualization for instance 0
Analizando el modelo en general se ve que:
shap.summary_plot(shap_values_cat, X_train)
Viendo cada uno en detalle, las conclusiones más importantes son las siguientes:
top_inds = np.argsort(-np.sum(np.abs(shap_values_cat), 0))
for i in range(0,len(top_inds)):
shap.dependence_plot(top_inds[i], shap_values_cat, X_train)
El primer paso será cargar el dataset de venta y dejar únicamente las variables predictoras utilizadas para el modelo de CatBoost:
raw_data_sale = pd.read_csv('processed_sale_Barcelona.csv', delimiter = ',')
raw_data_sale.head()
id | price | currency | latitude | longitude | sq_meters | sq_meters_built | rooms | bathrooms | balcony | ... | neighborhood | dist_city_center | furniture | garage | property_type | garden | closest_station | dist_closest_station | created_at | last_seen | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 320294 | 150000 | € | 41.459649 | 2.174793 | 63.0 | 67 | 3 | 1 | NaN | ... | Ciutat Meridiana - Torre Baró - Vallbona | 7.990993 | NaN | NaN | piso | NaN | Ciutat Meridiana | 0.121438 | 9/3/2021 10:16 | 11/12/2021 13:50 |
1 | 1786997 | 150000 | € | 41.422081 | 2.155370 | 48.0 | 52 | 2 | 1 | NaN | ... | El Carmel | 3.991000 | NaN | NaN | piso | NaN | El Carmel | 0.277336 | 9/3/2021 10:16 | 11/12/2021 13:50 |
2 | 1787143 | 395000 | € | 41.402928 | 2.207851 | 84.0 | 91 | 2 | 2 | NaN | ... | El Poblenou | 3.579261 | NaN | NaN | duplex | NaN | Poblenou | 0.383878 | 8/30/2021 12:17 | 8/30/2021 12:17 |
3 | 1976767 | 540000 | € | 41.394692 | 2.144422 | NaN | 100 | 3 | 1 | NaN | ... | Sant Gervasi - Galvany | 2.257852 | NaN | 1.0 | piso | NaN | Hospital Clínic | 0.875652 | 9/1/2021 14:04 | 9/2/2021 13:50 |
4 | 27972575 | 650000 | € | 41.398971 | 2.120754 | NaN | 141 | 3 | 2 | NaN | ... | Sarrià | 4.283368 | NaN | 1.0 | piso | NaN | Maria Cristina | 1.310073 | 8/29/2021 11:47 | 9/2/2021 11:01 |
5 rows × 33 columns
raw_data_sale['price'] = round(raw_data_sale['price'] / raw_data_sale['sq_meters_built'], 2).astype(int)
raw_data_sale['rooms'] = round(raw_data_sale['rooms'] / raw_data_sale['sq_meters_built'], 2)
raw_data_sale['bathrooms'] = round(raw_data_sale['bathrooms'] / raw_data_sale['sq_meters_built'], 2)
raw_data_sale.head()
id | price | currency | latitude | longitude | sq_meters | sq_meters_built | rooms | bathrooms | balcony | ... | neighborhood | dist_city_center | furniture | garage | property_type | garden | closest_station | dist_closest_station | created_at | last_seen | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 320294 | 2238 | € | 41.459649 | 2.174793 | 63.0 | 67 | 0.04 | 0.01 | NaN | ... | Ciutat Meridiana - Torre Baró - Vallbona | 7.990993 | NaN | NaN | piso | NaN | Ciutat Meridiana | 0.121438 | 9/3/2021 10:16 | 11/12/2021 13:50 |
1 | 1786997 | 2884 | € | 41.422081 | 2.155370 | 48.0 | 52 | 0.04 | 0.02 | NaN | ... | El Carmel | 3.991000 | NaN | NaN | piso | NaN | El Carmel | 0.277336 | 9/3/2021 10:16 | 11/12/2021 13:50 |
2 | 1787143 | 4340 | € | 41.402928 | 2.207851 | 84.0 | 91 | 0.02 | 0.02 | NaN | ... | El Poblenou | 3.579261 | NaN | NaN | duplex | NaN | Poblenou | 0.383878 | 8/30/2021 12:17 | 8/30/2021 12:17 |
3 | 1976767 | 5400 | € | 41.394692 | 2.144422 | NaN | 100 | 0.03 | 0.01 | NaN | ... | Sant Gervasi - Galvany | 2.257852 | NaN | 1.0 | piso | NaN | Hospital Clínic | 0.875652 | 9/1/2021 14:04 | 9/2/2021 13:50 |
4 | 27972575 | 4609 | € | 41.398971 | 2.120754 | NaN | 141 | 0.02 | 0.01 | NaN | ... | Sarrià | 4.283368 | NaN | 1.0 | piso | NaN | Maria Cristina | 1.310073 | 8/29/2021 11:47 | 9/2/2021 11:01 |
5 rows × 33 columns
def conditions(x):
if x < 0:
return "Unknown"
elif ((x >= 0) & (x < 15)):
return "0 - 15"
elif ((x >= 15) & (x < 25)):
return "15 - 25"
elif ((x >= 25) & (x < 35)):
return "25 - 35"
elif ((x >= 35)):
return "+35"
else:
return "Unknown"
func = np.vectorize(conditions)
raw_data_sale['neighborhood_rent_index'] = func(raw_data_sale['price'])
# Se elimina la variable neighborhood original
raw_data_sale = raw_data_sale.drop('neighborhood', axis = 1)
raw_data_sale.head()
id | price | currency | latitude | longitude | sq_meters | sq_meters_built | rooms | bathrooms | balcony | ... | dist_city_center | furniture | garage | property_type | garden | closest_station | dist_closest_station | created_at | last_seen | neighborhood_rent_index | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 320294 | 2238 | € | 41.459649 | 2.174793 | 63.0 | 67 | 0.04 | 0.01 | NaN | ... | 7.990993 | NaN | NaN | piso | NaN | Ciutat Meridiana | 0.121438 | 9/3/2021 10:16 | 11/12/2021 13:50 | +35 |
1 | 1786997 | 2884 | € | 41.422081 | 2.155370 | 48.0 | 52 | 0.04 | 0.02 | NaN | ... | 3.991000 | NaN | NaN | piso | NaN | El Carmel | 0.277336 | 9/3/2021 10:16 | 11/12/2021 13:50 | +35 |
2 | 1787143 | 4340 | € | 41.402928 | 2.207851 | 84.0 | 91 | 0.02 | 0.02 | NaN | ... | 3.579261 | NaN | NaN | duplex | NaN | Poblenou | 0.383878 | 8/30/2021 12:17 | 8/30/2021 12:17 | +35 |
3 | 1976767 | 5400 | € | 41.394692 | 2.144422 | NaN | 100 | 0.03 | 0.01 | NaN | ... | 2.257852 | NaN | 1.0 | piso | NaN | Hospital Clínic | 0.875652 | 9/1/2021 14:04 | 9/2/2021 13:50 | +35 |
4 | 27972575 | 4609 | € | 41.398971 | 2.120754 | NaN | 141 | 0.02 | 0.01 | NaN | ... | 4.283368 | NaN | 1.0 | piso | NaN | Maria Cristina | 1.310073 | 8/29/2021 11:47 | 9/2/2021 11:01 | +35 |
5 rows × 33 columns
sale_dataset = raw_data_sale[['price', 'rooms', 'bathrooms', 'balcony', 'terrace', 'exterior', 'orientation', 'floor', 'rooftop', 'elevator', 'pool', 'ac', 'heating', 'year_built', 'neighborhood_rent_index', 'dist_city_center', 'property_type', 'dist_closest_station']]
sale_dataset.head()
price | rooms | bathrooms | balcony | terrace | exterior | orientation | floor | rooftop | elevator | pool | ac | heating | year_built | neighborhood_rent_index | dist_city_center | property_type | dist_closest_station | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 2238 | 0.04 | 0.01 | NaN | 1.0 | 1.0 | este | 5.0 | NaN | 0.0 | NaN | 1.0 | NaN | NaN | +35 | 7.990993 | piso | 0.121438 |
1 | 2884 | 0.04 | 0.02 | NaN | NaN | 1.0 | NaN | 3.0 | NaN | 0.0 | NaN | 1.0 | individual | NaN | +35 | 3.991000 | piso | 0.277336 |
2 | 4340 | 0.02 | 0.02 | NaN | NaN | 1.0 | NaN | NaN | NaN | 0.0 | NaN | 1.0 | electric | NaN | +35 | 3.579261 | duplex | 0.383878 |
3 | 5400 | 0.03 | 0.01 | NaN | NaN | 1.0 | sur | 1.0 | NaN | 1.0 | NaN | 1.0 | NaN | NaN | +35 | 2.257852 | piso | 0.875652 |
4 | 4609 | 0.02 | 0.01 | NaN | NaN | 1.0 | este | 1.0 | NaN | 1.0 | NaN | 1.0 | NaN | NaN | +35 | 4.283368 | piso | 1.310073 |
features_to_null = ['balcony', 'terrace', 'exterior', 'rooftop', 'elevator', 'pool', 'ac']
for i in range(0,len(features_to_null)):
sale_dataset[features_to_null[i]].fillna(0, inplace = True)
sale_dataset.head()
price | rooms | bathrooms | balcony | terrace | exterior | orientation | floor | rooftop | elevator | pool | ac | heating | year_built | neighborhood_rent_index | dist_city_center | property_type | dist_closest_station | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 2238 | 0.04 | 0.01 | 0.0 | 1.0 | 1.0 | este | 5.0 | 0.0 | 0.0 | 0.0 | 1.0 | NaN | NaN | +35 | 7.990993 | piso | 0.121438 |
1 | 2884 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | NaN | 3.0 | 0.0 | 0.0 | 0.0 | 1.0 | individual | NaN | +35 | 3.991000 | piso | 0.277336 |
2 | 4340 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | NaN | NaN | 0.0 | 0.0 | 0.0 | 1.0 | electric | NaN | +35 | 3.579261 | duplex | 0.383878 |
3 | 5400 | 0.03 | 0.01 | 0.0 | 0.0 | 1.0 | sur | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | NaN | +35 | 2.257852 | piso | 0.875652 |
4 | 4609 | 0.02 | 0.01 | 0.0 | 0.0 | 1.0 | este | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | NaN | +35 | 4.283368 | piso | 1.310073 |
sale_dataset['property_age'] = 2022 - sale_dataset['year_built']
sale_dataset.head()
price | rooms | bathrooms | balcony | terrace | exterior | orientation | floor | rooftop | elevator | pool | ac | heating | year_built | neighborhood_rent_index | dist_city_center | property_type | dist_closest_station | property_age | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 2238 | 0.04 | 0.01 | 0.0 | 1.0 | 1.0 | este | 5.0 | 0.0 | 0.0 | 0.0 | 1.0 | NaN | NaN | +35 | 7.990993 | piso | 0.121438 | NaN |
1 | 2884 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | NaN | 3.0 | 0.0 | 0.0 | 0.0 | 1.0 | individual | NaN | +35 | 3.991000 | piso | 0.277336 | NaN |
2 | 4340 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | NaN | NaN | 0.0 | 0.0 | 0.0 | 1.0 | electric | NaN | +35 | 3.579261 | duplex | 0.383878 | NaN |
3 | 5400 | 0.03 | 0.01 | 0.0 | 0.0 | 1.0 | sur | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | NaN | +35 | 2.257852 | piso | 0.875652 | NaN |
4 | 4609 | 0.02 | 0.01 | 0.0 | 0.0 | 1.0 | este | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | NaN | +35 | 4.283368 | piso | 1.310073 | NaN |
def conditions(x):
if x < 0:
return "Unknown"
elif ((x >= 0) & (x < 40)):
return "0 - 40"
elif ((x >= 40) & (x < 70)):
return "40 - 70"
elif ((x >= 70) & (x < 120)):
return "70 - 120"
elif ((x >= 120) & (x < 150)):
return "120 - 150"
elif ((x >= 150)):
return "+150"
else:
return "Unknown"
func = np.vectorize(conditions)
sale_dataset['property_age_cat'] = func(sale_dataset['property_age'])
sale_dataset.head()
price | rooms | bathrooms | balcony | terrace | exterior | orientation | floor | rooftop | elevator | pool | ac | heating | year_built | neighborhood_rent_index | dist_city_center | property_type | dist_closest_station | property_age | property_age_cat | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 2238 | 0.04 | 0.01 | 0.0 | 1.0 | 1.0 | este | 5.0 | 0.0 | 0.0 | 0.0 | 1.0 | NaN | NaN | +35 | 7.990993 | piso | 0.121438 | NaN | Unknown |
1 | 2884 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | NaN | 3.0 | 0.0 | 0.0 | 0.0 | 1.0 | individual | NaN | +35 | 3.991000 | piso | 0.277336 | NaN | Unknown |
2 | 4340 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | NaN | NaN | 0.0 | 0.0 | 0.0 | 1.0 | electric | NaN | +35 | 3.579261 | duplex | 0.383878 | NaN | Unknown |
3 | 5400 | 0.03 | 0.01 | 0.0 | 0.0 | 1.0 | sur | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | NaN | +35 | 2.257852 | piso | 0.875652 | NaN | Unknown |
4 | 4609 | 0.02 | 0.01 | 0.0 | 0.0 | 1.0 | este | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | NaN | +35 | 4.283368 | piso | 1.310073 | NaN | Unknown |
features_to_unknown = ['property_type', 'orientation', 'heating', 'property_age_cat', 'floor']
for i in range(0,len(features_to_unknown)):
sale_dataset[features_to_unknown[i]].fillna("Unknown", inplace = True)
sale_dataset.head()
price | rooms | bathrooms | balcony | terrace | exterior | orientation | floor | rooftop | elevator | pool | ac | heating | year_built | neighborhood_rent_index | dist_city_center | property_type | dist_closest_station | property_age | property_age_cat | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 2238 | 0.04 | 0.01 | 0.0 | 1.0 | 1.0 | este | 5.0 | 0.0 | 0.0 | 0.0 | 1.0 | Unknown | NaN | +35 | 7.990993 | piso | 0.121438 | NaN | Unknown |
1 | 2884 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | Unknown | 3.0 | 0.0 | 0.0 | 0.0 | 1.0 | individual | NaN | +35 | 3.991000 | piso | 0.277336 | NaN | Unknown |
2 | 4340 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | Unknown | Unknown | 0.0 | 0.0 | 0.0 | 1.0 | electric | NaN | +35 | 3.579261 | duplex | 0.383878 | NaN | Unknown |
3 | 5400 | 0.03 | 0.01 | 0.0 | 0.0 | 1.0 | sur | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | Unknown | NaN | +35 | 2.257852 | piso | 0.875652 | NaN | Unknown |
4 | 4609 | 0.02 | 0.01 | 0.0 | 0.0 | 1.0 | este | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | Unknown | NaN | +35 | 4.283368 | piso | 1.310073 | NaN | Unknown |
sale_cat_features = ['orientation', 'heating']
sale_dataset_numeric = sale_dataset.drop(sale_cat_features, axis = 1)
sale_dataset_numeric
price | rooms | bathrooms | balcony | terrace | exterior | floor | rooftop | elevator | pool | ac | year_built | neighborhood_rent_index | dist_city_center | property_type | dist_closest_station | property_age | property_age_cat | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 2238 | 0.04 | 0.01 | 0.0 | 1.0 | 1.0 | 5.0 | 0.0 | 0.0 | 0.0 | 1.0 | NaN | +35 | 7.990993 | piso | 0.121438 | NaN | Unknown |
1 | 2884 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | 3.0 | 0.0 | 0.0 | 0.0 | 1.0 | NaN | +35 | 3.991000 | piso | 0.277336 | NaN | Unknown |
2 | 4340 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | Unknown | 0.0 | 0.0 | 0.0 | 1.0 | NaN | +35 | 3.579261 | duplex | 0.383878 | NaN | Unknown |
3 | 5400 | 0.03 | 0.01 | 0.0 | 0.0 | 1.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | +35 | 2.257852 | piso | 0.875652 | NaN | Unknown |
4 | 4609 | 0.02 | 0.01 | 0.0 | 0.0 | 1.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | NaN | +35 | 4.283368 | piso | 1.310073 | NaN | Unknown |
... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |
5842 | 2317 | 0.03 | 0.02 | 0.0 | 0.0 | 0.0 | Unknown | 0.0 | 1.0 | 0.0 | 1.0 | 1962.0 | +35 | 4.750976 | piso | 0.341163 | 60.0 | 40 - 70 |
5843 | 2323 | 0.03 | 0.03 | 0.0 | 1.0 | 0.0 | Unknown | 0.0 | 0.0 | 0.0 | 0.0 | NaN | +35 | 7.346138 | piso | 0.280344 | NaN | Unknown |
5844 | 2830 | 0.00 | 0.03 | 0.0 | 0.0 | 0.0 | Unknown | 0.0 | 0.0 | 0.0 | 1.0 | NaN | +35 | 0.971988 | estudio | 0.157078 | NaN | Unknown |
5845 | 1898 | 0.04 | 0.01 | 0.0 | 0.0 | 1.0 | 5.0 | 0.0 | 1.0 | 0.0 | 0.0 | NaN | +35 | 7.019433 | piso | 0.440968 | NaN | Unknown |
5846 | 1764 | 0.04 | 0.01 | 1.0 | 0.0 | 1.0 | 2.0 | 0.0 | 1.0 | 0.0 | 0.0 | NaN | +35 | 7.213495 | piso | 0.319661 | NaN | Unknown |
5847 rows × 18 columns
Finalmente, el listado de variables es el mismo y no hay ningún valor nulo:
sale_dataset_numeric_no_nulls = sale_dataset_numeric.drop(['year_built', 'property_age', 'floor'], axis = 1)
sale_dataset_numeric_no_nulls.isnull().sum() / len(sale_dataset_numeric_no_nulls)
price 0.0 rooms 0.0 bathrooms 0.0 balcony 0.0 terrace 0.0 exterior 0.0 rooftop 0.0 elevator 0.0 pool 0.0 ac 0.0 neighborhood_rent_index 0.0 dist_city_center 0.0 property_type 0.0 dist_closest_station 0.0 property_age_cat 0.0 dtype: float64
sale_dataset_numeric_no_nulls.head()
price | rooms | bathrooms | balcony | terrace | exterior | rooftop | elevator | pool | ac | neighborhood_rent_index | dist_city_center | property_type | dist_closest_station | property_age_cat | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 2238 | 0.04 | 0.01 | 0.0 | 1.0 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | +35 | 7.990993 | piso | 0.121438 | Unknown |
1 | 2884 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | +35 | 3.991000 | piso | 0.277336 | Unknown |
2 | 4340 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | +35 | 3.579261 | duplex | 0.383878 | Unknown |
3 | 5400 | 0.03 | 0.01 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | +35 | 2.257852 | piso | 0.875652 | Unknown |
4 | 4609 | 0.02 | 0.01 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | +35 | 4.283368 | piso | 1.310073 | Unknown |
# Generación del dataset para generar la predicción
X_sale = sale_dataset_numeric_no_nulls.drop(['price'], axis = 1)
y_sale = sale_dataset_numeric_no_nulls[['price']]
for i in range(0,len(cat_features_catboost)):
X_sale[cat_features_catboost[i]].astype("category")
X_sale.head()
rooms | bathrooms | balcony | terrace | exterior | rooftop | elevator | pool | ac | neighborhood_rent_index | dist_city_center | property_type | dist_closest_station | property_age_cat | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 0.04 | 0.01 | 0.0 | 1.0 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | +35 | 7.990993 | piso | 0.121438 | Unknown |
1 | 0.04 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | +35 | 3.991000 | piso | 0.277336 | Unknown |
2 | 0.02 | 0.02 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | +35 | 3.579261 | duplex | 0.383878 | Unknown |
3 | 0.03 | 0.01 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | +35 | 2.257852 | piso | 0.875652 | Unknown |
4 | 0.02 | 0.01 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | +35 | 4.283368 | piso | 1.310073 | Unknown |
# Se ordenan las columnas en el mismo orden para que la predicción no de error
X_sale = X_sale[['rooms','bathrooms', 'balcony', 'terrace', 'exterior', 'rooftop', 'elevator', 'pool',
'ac', 'dist_city_center', 'property_type', 'dist_closest_station', 'property_age_cat',
'neighborhood_rent_index']]
Se genera la predicción y se incorpora al dataset:
sale_dataset_numeric_no_nulls['rent_predict'] = model_cat.predict(X_sale)
sale_dataset_numeric_no_nulls['meters'] = raw_data_sale['sq_meters_built']
Se crea un índice de inversión que divia el €/m2 de venta entre el €/m2 de alquiler para obtener el break-even time:
sale_dataset_numeric_no_nulls['invest_index'] = sale_dataset_numeric_no_nulls['price'] / sale_dataset_numeric_no_nulls['rent_predict']
sale_dataset_numeric_no_nulls = sale_dataset_numeric_no_nulls.sort_values('invest_index', ascending=True)
best_investments = sale_dataset_numeric_no_nulls.head(20)
best_investments.head()
price | rooms | bathrooms | balcony | terrace | exterior | rooftop | elevator | pool | ac | neighborhood_rent_index | dist_city_center | property_type | dist_closest_station | property_age_cat | rent_predict | meters | invest_index | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
410 | 362 | 0.05 | 0.02 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 | +35 | 1.984758 | piso | 0.427798 | 40 - 70 | 40.633179 | 80 | 8.908976 |
1800 | 486 | 0.04 | 0.01 | 0.0 | 0.0 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 | +35 | 2.852830 | piso | 0.312926 | 40 - 70 | 36.605613 | 72 | 13.276652 |
1218 | 550 | 0.03 | 0.02 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | +35 | 4.745571 | piso | 0.394894 | 0 - 40 | 38.958001 | 118 | 14.117767 |
2896 | 608 | 0.07 | 0.02 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | +35 | 7.435571 | piso | 0.450793 | Unknown | 35.195137 | 46 | 17.275114 |
3408 | 673 | 0.04 | 0.02 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | +35 | 2.835212 | piso | 0.253943 | Unknown | 37.511705 | 52 | 17.941067 |
Como se puede apreciar:
Es decir, el algoritmo encuentra viviendas que a pesar de ser antiguas, están situadas en barrios caros, por lo que se supone que su precio también lo debería ser:
best_investments.describe(include='object')
neighborhood_rent_index | property_type | property_age_cat | |
---|---|---|---|
count | 20 | 20 | 20 |
unique | 1 | 5 | 4 |
top | +35 | piso | 40 - 70 |
freq | 20 | 13 | 8 |
De hecho, la mejor inversión es la siguiente vivienda. Su precio de venta es de 29000€ en la plataforma y el modelo predice que se podrían pagar +2000 € al mes. Lo mismo pasa con la segunda mejor:
raw_data_sale = pd.read_csv('processed_sale_Barcelona.csv', delimiter = ',')
raw_data_sale_org.iloc[410,:]
id 90230172 price 29000 currency € latitude 41.373778 longitude 2.155383 sq_meters 70.0 sq_meters_built 80 rooms 4 bathrooms 2 balcony 1.0 terrace NaN exterior NaN orientation NaN floor NaN rooftop NaN elevator 1.0 doorman NaN pool NaN ac NaN heating individual year_built 1974.0 quality 2 city Barcelona neighborhood Sants-Montjuïc dist_city_center 1.984758 furniture NaN garage NaN property_type piso garden NaN closest_station Poble Sec dist_closest_station 0.427798 created_at 9/3/2021 12:18 last_seen 10/4/2021 10:04 Name: 410, dtype: object
raw_data_sale_org.iloc[1800,:]
id 94152050 price 35000 currency € latitude 41.413491 longitude 2.172196 sq_meters NaN sq_meters_built 72 rooms 3 bathrooms 1 balcony NaN terrace NaN exterior NaN orientation NaN floor NaN rooftop NaN elevator 1.0 doorman NaN pool NaN ac NaN heating individual year_built 1958.0 quality 2 city Barcelona neighborhood Horta Guinardó dist_city_center 2.85283 furniture NaN garage NaN property_type piso garden NaN closest_station Guinardó | Hospital de Sant Pau dist_closest_station 0.312926 created_at 9/3/2021 12:18 last_seen 10/4/2021 10:04 Name: 1800, dtype: object
Como se ha podido apreciar, el modelo de Boosting generado tiene una accuracy ciertamente buena tanto en train como en test, por lo que por lo general es uno bueno. Sin embargo, se le da demasiado peso al índice de precios del barrio, por lo que una vivienda barata en un barrio caro suele ser la mejor inversión.
De esta conclusión se extraen algunas vías abiertas de mejora como podrían ser: