Encontrar el Top 20 de viviendas de Barcelona más baratas y rentables en las que invertir¶

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

Análisis exploratorio y limpieza de instancias¶

Carga de las librerías y el dataset¶

In [184]:
# 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:

  • El barrio donde se ubica la vivienda
  • La distancia al centro
  • Metros cuadrados construidos
  • Etc.
In [185]:
raw_data = pd.read_csv('processed_renting_Barcelona.csv', delimiter = ',')
raw_data.head()
Out[185]:
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

In [186]:
raw_data.shape
Out[186]:
(8502, 33)
In [187]:
raw_data.columns
Out[187]:
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')

Limpieza de instancias¶

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.

In [188]:
raw_data.isnull().sum() / len(raw_data)
Out[188]:
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:

In [189]:
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()
Out[189]:
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:

In [190]:
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()
Out[190]:
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:

In [191]:
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()
Out[191]:
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:

In [192]:
raw_data['property_age'] = 2022 - raw_data['year_built']
raw_data.head()
Out[192]:
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
In [193]:
raw_data[['property_age']].hist(bins=60, figsize=(10, 8))
Out[193]:
array([[<AxesSubplot:title={'center':'property_age'}>]], dtype=object)
In [194]:
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()
Out[194]:
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:

In [195]:
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()
Out[195]:
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:

In [196]:
raw_data.isnull().sum() / len(raw_data)
Out[196]:
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
In [197]:
raw_data.shape
Out[197]:
(8502, 18)
In [198]:
rent_dataset = raw_data

Análisis exploratorio¶

Como se puede observar:

  • El 75% de las viviendas tienen un precio de alquiler por metro cuadradoigual o inferior a 17€.
  • La distancia al centro y la distancia a la estación más cercana siguein una distribución normal, ya que mediana y media son muy similares.
  • De media, 4 de cada 10 viviendas tiene balcón, 7 de cada 10 ascensor y 5 de cada 10 aire acondicionado.
  • La presencia de piscina o terraza es muy baja.
In [199]:
rent_dataset.describe()
Out[199]:
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
In [200]:
sn.distplot(rent_dataset['price'], kde = False, bins = 30)
Out[200]:
<AxesSubplot:xlabel='price'>
In [201]:
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.

In [202]:
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.

In [203]:
sn.countplot(x = 'rooms', data = rent_dataset)
Out[203]:
<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.

In [204]:
sn.jointplot(x = rent_dataset['rooms'], y = rent_dataset['price'], data = rent_dataset)
Out[204]:
<seaborn.axisgrid.JointGrid at 0x7f575a2ffb20>

ANOVA¶

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:

  • neighborhood
  • property_type
  • heating
  • property_age_cat
  • floor
  • ac
  • balcony
  • exterior

Entre las que destacan:

  • neighborhood
  • ac
  • property_type

Y las que no:

  • orientation
  • elevator
In [205]:
cat_features = ['neighborhood', 'property_type', 'orientation', 'heating', 'property_age_cat', 'floor', 'balcony',
               'terrace', 'exterior', 'rooftop', 'elevator', 'pool', 'ac']
In [206]:
# 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

PCA¶

El primer paso para aplicar el PCA será eliminar del dataset las variables categóricas y la del precio:

In [207]:
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()
Out[207]:
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:

In [208]:
# 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)
In [209]:
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:

In [210]:
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')
Out[210]:
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:

In [211]:
explained_variance = pca.explained_variance_ratio_
explained_variance
Out[211]:
array([0.1613582 , 0.13044271])

En este caso, para los componentes 1 y 2 las variables más relevantes son las siguientes:

In [212]:
loadings = pca.components_.T
df_loadings = pd.DataFrame(loadings, columns = ['PC1','PC2'], index = rent_dataset_numeric_pca.columns)
df_loadings
Out[212]:
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

Conclusiones¶

Como se ha podido observar mediente el análisis descriptivo y el PCA/Anova:

  • Las variables del barrio, el tipo de propiedad y si la vivienda disponde a aire acondicionado afectan en gran medida al precio por metro cuadrado
  • Hay otras como si la vivienda dispone de balcón o los años de la misma que también tienen cierta relevancia.
  • Sin embargo, otras como la orientación no tienen ninguna incidencia.

Creación y comparación de modelos¶

Bagging¶

Preprocesamiento de los datos¶

Como el algoritmo bagging no permite variables categóricas, el dataset a utilizar será el siguiente:

In [213]:
rent_dataset_numeric.columns
Out[213]:
Index(['price', 'rooms', 'bathrooms', 'balcony', 'terrace', 'exterior',
       'rooftop', 'elevator', 'pool', 'ac', 'dist_city_center',
       'dist_closest_station'],
      dtype='object')
In [214]:
rent_dataset_numeric.isnull().sum() / len(rent_dataset_numeric)
Out[214]:
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

Split entre training y test¶

In [215]:
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)

Hiperoptimización de parámetros¶

En este caso, como se puede observar, los parámetros más óptimos del árbol de decisión que se utilizará como weak learner son:

  • max_depth = 7
  • min_samples_split = 2
In [216]:
# 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)
Out[216]:
GridSearchCV(cv=10, estimator=DecisionTreeClassifier(),
             param_grid=[{'max_depth': [2, 3, 4, 5, 6, 7, 9],
                          'min_samples_split': [2, 5, 10]}],
             scoring='r2')
In [217]:
grid_bag.best_params_
Out[217]:
{'max_depth': 7, 'min_samples_split': 5}

A continuación, el número ideal de bags obtenido es de 50:

In [218]:
# 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_
Out[218]:
{'n_estimators': 50}

Entrenamiento del modelo¶

In [219]:
# 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")
In [220]:
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
In [221]:
fig1, ax1 = plt.subplots()
ax1.set_title('R2 del modelo de Bagging')
ax1.boxplot(model["test_score"])
Out[221]:
{'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': []}

Comparación de los resultados en training y test¶

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:

In [222]:
bag.fit(X_train, y_train)

y_pred = bag.predict(X_train)
# Error r2
metrics.r2_score(y_train, y_pred)
Out[222]:
0.37181559350887916
In [223]:
y_pred = bag.predict(X_test)
# Error r2
metrics.r2_score(y_test, y_pred)
Out[223]:
0.2894757667633925
In [224]:
plt.figure(figsize=(10,10))
plt.scatter(y_pred, y_test.iloc[:,0], c='crimson')
plt.xlabel("Predicted")
plt.ylabel("Test")
Out[224]:
Text(0, 0.5, 'Test')

Random Forest¶

Preprocesamiento de los datos¶

El algoritmo de random forest sí permite aplicar variables categóricas, por lo que en este modelo se utilizarán principalmente dos:

  • neighborhood
  • property_age_cat

Por tanto, se elimina el resto del dataset (de las que no son 0-1):

In [225]:
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:

In [226]:
# 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()
Out[226]:
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:

In [227]:
rent_dataset_numeric_randomforest.isnull().sum() / len(rent_dataset_numeric_randomforest)
Out[227]:
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

Split entre training y test¶

In [228]:
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)

Hiperoptimización de parámetros¶

Los parámetros más óptimos del árbol de decisión que se utilizará como weak learner son:

  • max_depth = 15
  • n_estimators = 100
In [229]:
# 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_
Out[229]:
{'max_depth': 15, 'n_estimators': 100}

Entrenamiento del modelo¶

A continuación se entrena el modelo con los parámetros calculados previamente:

In [230]:
# 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
In [231]:
fig1, ax1 = plt.subplots()
ax1.set_title('R2 del modelo de Random Forest')
ax1.boxplot(model["test_score"])
Out[231]:
{'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': []}

Comparación de los resultados en training y test¶

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:

In [232]:
rf.fit(X_train, y_train)
y_pred = rf.predict(X_train)
# Error r2
metrics.r2_score(y_train, y_pred)
Out[232]:
0.8158399063686976
In [233]:
y_pred = rf.predict(X_test)
# Error r2
metrics.r2_score(y_test, y_pred)
Out[233]:
0.27850020375723883

Boosting (CatBoost)¶

Preprocesamiento de los datos¶

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:

In [234]:
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()
Out[234]:
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:

  • 0-15
  • 15-25
  • 25-35
  • +35

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:

In [235]:
rent_dataset_catboost[['price']].hist(bins=60, figsize=(10, 8))
Out[235]:
array([[<AxesSubplot:title={'center':'price'}>]], dtype=object)
In [236]:
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()
Out[236]:
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
In [237]:
# 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()
Out[237]:
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

Split entre training y test¶

In [238]:
# 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)

Hiperoptimización de parámetros¶

Con el siguiente grid search se pretenden obtener los valores más óptimos del learning rate y el depth. Los resultados son:

  • learning_rate = 0.03
  • depth = 8

NOTA: se adjunta la imagen en jpg para que se pueda visualizar el resultado sin ejecutarlo:

newplot.png

In [239]:
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)
MetricVisualizer(layout=Layout(align_self='stretch', height='500px'))
0:	learn: 15.9886974	test: 15.8328865	best: 15.8328865 (0)	total: 9.04ms	remaining: 9.03s
1:	learn: 15.5505387	test: 15.3886943	best: 15.3886943 (1)	total: 17.4ms	remaining: 8.69s
2:	learn: 15.1173118	test: 14.9485119	best: 14.9485119 (2)	total: 20.7ms	remaining: 6.89s
3:	learn: 14.7015989	test: 14.5290081	best: 14.5290081 (3)	total: 25.5ms	remaining: 6.35s
4:	learn: 14.2903581	test: 14.1149185	best: 14.1149185 (4)	total: 29.8ms	remaining: 5.93s
5:	learn: 13.8826349	test: 13.7031920	best: 13.7031920 (5)	total: 34.3ms	remaining: 5.69s
6:	learn: 13.4861698	test: 13.3093733	best: 13.3093733 (6)	total: 38.4ms	remaining: 5.45s
7:	learn: 13.1043133	test: 12.9238074	best: 12.9238074 (7)	total: 43ms	remaining: 5.33s
8:	learn: 12.7343691	test: 12.5501870	best: 12.5501870 (8)	total: 46ms	remaining: 5.07s
9:	learn: 12.3764087	test: 12.1896422	best: 12.1896422 (9)	total: 49.8ms	remaining: 4.93s
10:	learn: 12.0318598	test: 11.8442430	best: 11.8442430 (10)	total: 55.7ms	remaining: 5.01s
11:	learn: 11.6930598	test: 11.5027002	best: 11.5027002 (11)	total: 60.4ms	remaining: 4.98s
12:	learn: 11.3634205	test: 11.1704381	best: 11.1704381 (12)	total: 62.6ms	remaining: 4.75s
13:	learn: 11.0452168	test: 10.8544488	best: 10.8544488 (13)	total: 67.7ms	remaining: 4.77s
14:	learn: 10.7488472	test: 10.5524970	best: 10.5524970 (14)	total: 69.1ms	remaining: 4.54s
15:	learn: 10.4510714	test: 10.2511075	best: 10.2511075 (15)	total: 75.2ms	remaining: 4.62s
16:	learn: 10.1616982	test: 9.9658338	best: 9.9658338 (16)	total: 77.8ms	remaining: 4.5s
17:	learn: 9.8804575	test: 9.6820719	best: 9.6820719 (17)	total: 80.9ms	remaining: 4.41s
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bestTest = 2.014575854
bestIteration = 933

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bestTest = 2.027596269
bestIteration = 993

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bestTest = 1.984624905
bestIteration = 990

2:	loss: 1.9846249	best: 1.9846249 (2)	total: 15.4s	remaining: 25.7s
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bestTest = 1.999889289
bestIteration = 999

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bestTest = 1.98960788
bestIteration = 747

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bestTest = 1.998287936
bestIteration = 991

5:	loss: 1.9982879	best: 1.9846249 (2)	total: 39.1s	remaining: 13s
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bestTest = 1.993879978
bestIteration = 459

6:	loss: 1.9938800	best: 1.9846249 (2)	total: 1m 6s	remaining: 9.56s
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bestTest = 2.005140362
bestIteration = 997

7:	loss: 2.0051404	best: 1.9846249 (2)	total: 1m 31s	remaining: 0us
Estimating final quality...
Training on fold [0/3]
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987:	learn: 1.4109089	test: 2.3097290	best: 2.2933340 (371)	total: 7.67s	remaining: 93.1ms
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999:	learn: 1.4070835	test: 2.3099968	best: 2.2933340 (371)	total: 7.73s	remaining: 0us

bestTest = 2.293333992
bestIteration = 371

Training on fold [1/3]
0:	learn: 15.9353093	test: 15.9851693	best: 15.9851693 (0)	total: 6.18ms	remaining: 6.18s
1:	learn: 15.4942888	test: 15.5446437	best: 15.5446437 (1)	total: 11ms	remaining: 5.5s
2:	learn: 15.0467216	test: 15.0955502	best: 15.0955502 (2)	total: 13ms	remaining: 4.31s
3:	learn: 14.6263732	test: 14.6724697	best: 14.6724697 (3)	total: 19.1ms	remaining: 4.74s
4:	learn: 14.2163487	test: 14.2613780	best: 14.2613780 (4)	total: 21.5ms	remaining: 4.27s
5:	learn: 13.8416080	test: 13.8943269	best: 13.8943269 (5)	total: 26.5ms	remaining: 4.38s
6:	learn: 13.4691121	test: 13.5226598	best: 13.5226598 (6)	total: 33ms	remaining: 4.68s
7:	learn: 13.1095712	test: 13.1653925	best: 13.1653925 (7)	total: 37.7ms	remaining: 4.67s
8:	learn: 12.7445839	test: 12.7987091	best: 12.7987091 (8)	total: 41.4ms	remaining: 4.56s
9:	learn: 12.3930073	test: 12.4457185	best: 12.4457185 (9)	total: 46ms	remaining: 4.55s
10:	learn: 12.0417096	test: 12.0926841	best: 12.0926841 (10)	total: 48.2ms	remaining: 4.33s
11:	learn: 11.7129360	test: 11.7628969	best: 11.7628969 (11)	total: 50.1ms	remaining: 4.12s
12:	learn: 11.3864903	test: 11.4328252	best: 11.4328252 (12)	total: 54.1ms	remaining: 4.11s
13:	learn: 11.0765767	test: 11.1258484	best: 11.1258484 (13)	total: 59.5ms	remaining: 4.19s
14:	learn: 10.7770475	test: 10.8243482	best: 10.8243482 (14)	total: 64.5ms	remaining: 4.23s
15:	learn: 10.4782855	test: 10.5226549	best: 10.5226549 (15)	total: 66.8ms	remaining: 4.11s
16:	learn: 10.1877658	test: 10.2305805	best: 10.2305805 (16)	total: 69ms	remaining: 3.99s
17:	learn: 9.9078942	test: 9.9478937	best: 9.9478937 (17)	total: 73.7ms	remaining: 4.02s
18:	learn: 9.6390092	test: 9.6778405	best: 9.6778405 (18)	total: 77.8ms	remaining: 4.02s
19:	learn: 9.3844848	test: 9.4217809	best: 9.4217809 (19)	total: 83.3ms	remaining: 4.08s
20:	learn: 9.1295193	test: 9.1672835	best: 9.1672835 (20)	total: 88.2ms	remaining: 4.11s
21:	learn: 8.8781811	test: 8.9143159	best: 8.9143159 (21)	total: 91.1ms	remaining: 4.05s
22:	learn: 8.6361046	test: 8.6709344	best: 8.6709344 (22)	total: 93.1ms	remaining: 3.96s
23:	learn: 8.4059348	test: 8.4398997	best: 8.4398997 (23)	total: 97.4ms	remaining: 3.96s
24:	learn: 8.1884523	test: 8.2209183	best: 8.2209183 (24)	total: 99.4ms	remaining: 3.88s
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984:	learn: 1.4377686	test: 2.0743599	best: 2.0577213 (484)	total: 6.41s	remaining: 97.6ms
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986:	learn: 1.4370254	test: 2.0744661	best: 2.0577213 (484)	total: 6.42s	remaining: 84.6ms
987:	learn: 1.4365402	test: 2.0743710	best: 2.0577213 (484)	total: 6.43s	remaining: 78.1ms
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999:	learn: 1.4331282	test: 2.0741672	best: 2.0577213 (484)	total: 6.5s	remaining: 0us

bestTest = 2.057721289
bestIteration = 484

Training on fold [2/3]
0:	learn: 16.0561976	test: 15.7287926	best: 15.7287926 (0)	total: 6.39ms	remaining: 6.38s
1:	learn: 15.6128543	test: 15.2863040	best: 15.2863040 (1)	total: 11.3ms	remaining: 5.63s
2:	learn: 15.1628754	test: 14.8361518	best: 14.8361518 (2)	total: 13.3ms	remaining: 4.41s
3:	learn: 14.7392891	test: 14.4146319	best: 14.4146319 (3)	total: 19.5ms	remaining: 4.87s
4:	learn: 14.3268902	test: 14.0043232	best: 14.0043232 (4)	total: 22.1ms	remaining: 4.4s
5:	learn: 13.9518001	test: 13.6293071	best: 13.6293071 (5)	total: 28.2ms	remaining: 4.67s
6:	learn: 13.5768967	test: 13.2571638	best: 13.2571638 (6)	total: 34.1ms	remaining: 4.84s
7:	learn: 13.2204702	test: 12.9001879	best: 12.9001879 (7)	total: 39.1ms	remaining: 4.85s
8:	learn: 12.8522778	test: 12.5324643	best: 12.5324643 (8)	total: 44.1ms	remaining: 4.86s
9:	learn: 12.4965449	test: 12.1762020	best: 12.1762020 (9)	total: 49.9ms	remaining: 4.94s
10:	learn: 12.1628175	test: 11.8449077	best: 11.8449077 (10)	total: 55.7ms	remaining: 5.01s
11:	learn: 11.8211060	test: 11.5021079	best: 11.5021079 (11)	total: 58.1ms	remaining: 4.79s
12:	learn: 11.4920061	test: 11.1715691	best: 11.1715691 (12)	total: 60.8ms	remaining: 4.62s
13:	learn: 11.1817723	test: 10.8559987	best: 10.8559987 (13)	total: 62.3ms	remaining: 4.39s
14:	learn: 10.8736720	test: 10.5519085	best: 10.5519085 (14)	total: 66.7ms	remaining: 4.38s
15:	learn: 10.5728760	test: 10.2498066	best: 10.2498066 (15)	total: 69.6ms	remaining: 4.28s
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18:	learn: 9.7302236	test: 9.4037170	best: 9.4037170 (18)	total: 80.2ms	remaining: 4.14s
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966:	learn: 1.4516069	test: 1.9748392	best: 1.9716339 (651)	total: 6.28s	remaining: 214ms
967:	learn: 1.4513195	test: 1.9749426	best: 1.9716339 (651)	total: 6.29s	remaining: 208ms
968:	learn: 1.4509072	test: 1.9749698	best: 1.9716339 (651)	total: 6.29s	remaining: 201ms
969:	learn: 1.4506180	test: 1.9751103	best: 1.9716339 (651)	total: 6.3s	remaining: 195ms
970:	learn: 1.4504102	test: 1.9751378	best: 1.9716339 (651)	total: 6.3s	remaining: 188ms
971:	learn: 1.4502034	test: 1.9751776	best: 1.9716339 (651)	total: 6.31s	remaining: 182ms
972:	learn: 1.4498209	test: 1.9752330	best: 1.9716339 (651)	total: 6.31s	remaining: 175ms
973:	learn: 1.4497745	test: 1.9752488	best: 1.9716339 (651)	total: 6.32s	remaining: 169ms
974:	learn: 1.4493945	test: 1.9751673	best: 1.9716339 (651)	total: 6.32s	remaining: 162ms
975:	learn: 1.4492327	test: 1.9752126	best: 1.9716339 (651)	total: 6.33s	remaining: 156ms
976:	learn: 1.4490323	test: 1.9752280	best: 1.9716339 (651)	total: 6.33s	remaining: 149ms
977:	learn: 1.4486865	test: 1.9752367	best: 1.9716339 (651)	total: 6.34s	remaining: 143ms
978:	learn: 1.4484921	test: 1.9753198	best: 1.9716339 (651)	total: 6.34s	remaining: 136ms
979:	learn: 1.4478438	test: 1.9755143	best: 1.9716339 (651)	total: 6.35s	remaining: 130ms
980:	learn: 1.4475181	test: 1.9755030	best: 1.9716339 (651)	total: 6.36s	remaining: 123ms
981:	learn: 1.4471191	test: 1.9754314	best: 1.9716339 (651)	total: 6.36s	remaining: 117ms
982:	learn: 1.4467144	test: 1.9755312	best: 1.9716339 (651)	total: 6.36s	remaining: 110ms
983:	learn: 1.4463670	test: 1.9756228	best: 1.9716339 (651)	total: 6.37s	remaining: 104ms
984:	learn: 1.4455502	test: 1.9754742	best: 1.9716339 (651)	total: 6.37s	remaining: 97.1ms
985:	learn: 1.4451748	test: 1.9757526	best: 1.9716339 (651)	total: 6.38s	remaining: 90.6ms
986:	learn: 1.4446790	test: 1.9758820	best: 1.9716339 (651)	total: 6.38s	remaining: 84.1ms
987:	learn: 1.4442693	test: 1.9758287	best: 1.9716339 (651)	total: 6.39s	remaining: 77.6ms
988:	learn: 1.4439634	test: 1.9758780	best: 1.9716339 (651)	total: 6.4s	remaining: 71.2ms
989:	learn: 1.4435409	test: 1.9758241	best: 1.9716339 (651)	total: 6.4s	remaining: 64.7ms
990:	learn: 1.4432201	test: 1.9760129	best: 1.9716339 (651)	total: 6.41s	remaining: 58.2ms
991:	learn: 1.4426538	test: 1.9760452	best: 1.9716339 (651)	total: 6.41s	remaining: 51.7ms
992:	learn: 1.4422856	test: 1.9760961	best: 1.9716339 (651)	total: 6.42s	remaining: 45.2ms
993:	learn: 1.4418414	test: 1.9760842	best: 1.9716339 (651)	total: 6.42s	remaining: 38.8ms
994:	learn: 1.4413957	test: 1.9762367	best: 1.9716339 (651)	total: 6.43s	remaining: 32.3ms
995:	learn: 1.4408961	test: 1.9763912	best: 1.9716339 (651)	total: 6.43s	remaining: 25.8ms
996:	learn: 1.4406339	test: 1.9764220	best: 1.9716339 (651)	total: 6.44s	remaining: 19.4ms
997:	learn: 1.4406279	test: 1.9764118	best: 1.9716339 (651)	total: 6.44s	remaining: 12.9ms
998:	learn: 1.4400848	test: 1.9764984	best: 1.9716339 (651)	total: 6.45s	remaining: 6.46ms
999:	learn: 1.4395429	test: 1.9764920	best: 1.9716339 (651)	total: 6.45s	remaining: 0us

bestTest = 1.971633876
bestIteration = 651

In [240]:
grid_search_result['params']
Out[240]:
{'depth': 8, 'learning_rate': 0.03}

Entrenamiento del modelo¶

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:

newplot%20%281%29.png

In [241]:
# 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:

In [242]:
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.
Out[242]:
<catboost.core.CatBoostRegressor at 0x7f5759d3eb50>

Comparación de los resultados en training y test¶

Con estos cambios, como se puede apreciar, se ha conseguido una accuracy del modelo muy alta tanto en train como en test:

In [243]:
y_pred = model_cat.predict(X_train)
#error rate
metrics.r2_score(y_train, y_pred)
Out[243]:
0.8883282403610695
In [244]:
y_pred = model_cat.predict(X_test)
# Error r2
metrics.r2_score(y_test, y_pred)
Out[244]:
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

In [245]:
plt.figure(figsize=(10,10))
plt.scatter(y_pred, y_test.iloc[:,0], c='crimson')
plt.xlabel("Predicted")
plt.ylabel("Test")
Out[245]:
Text(0, 0.5, 'Test')
In [246]:
cat_importance = pd.DataFrame({"Features": model_cat.feature_names_
                               , "Importance": model_cat.feature_importances_}
                             ).sort_values('Importance', ascending=False)
cat_importance
Out[246]:
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
In [247]:
plt.rcdefaults()
fig, ax = plt.subplots()

ax.barh(y = 'Features'
        , width = 'Importance'
        , data = cat_importance)
ax.invert_yaxis()  # labels read top-to-bottom

Análisis de Shap Values para el modelo de boosting escogido¶

El primer paso será aplicar el TreeExplainer al modelo de Boosting generado previamente:

In [248]:
explainer_cat = shap.TreeExplainer(model_cat)
shap_values_cat = explainer_cat.shap_values(X_train)

El resultado es un ejemplo como este:

In [249]:
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
Out[249]:
Visualization omitted, Javascript library not loaded!
Have you run `initjs()` in this notebook? If this notebook was from another user you must also trust this notebook (File -> Trust notebook). If you are viewing this notebook on github the Javascript has been stripped for security. If you are using JupyterLab this error is because a JupyterLab extension has not yet been written.

Analizando el modelo en general se ve que:

  • A mayor número de baños mayor precio
  • A menor distancia del centro mayor precio
  • El hecho de tener aire acondicionado aumenta el precio
  • Disponer de piscina aumenta el precio
In [250]:
shap.summary_plot(shap_values_cat, X_train)

Viendo cada uno en detalle, las conclusiones más importantes son las siguientes:

  • Cuando el índice de precios es +35, el precio es significativamente diferente al resto. Sin embargo, ya se aprecia un aumento en el precio a medida que aumenta ese índice de precios. También se ve como la mayoría de viviendas sin aire acondicionado pertenecen al segmento entre 0-15 €/m2
  • La mayoría de viviendas con un índice de precio más bajo está más lejos del centro, al igual que sucede con la distancia a la estación más cercana
In [251]:
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)

Generación de predicciones en el dataset de venta y selección de las 20 viviendas más rentables y baratas para comprar¶

Preparación del dataset de venta de pisos¶

El primer paso será cargar el dataset de venta y dejar únicamente las variables predictoras utilizadas para el modelo de CatBoost:

In [252]:
raw_data_sale = pd.read_csv('processed_sale_Barcelona.csv', delimiter = ',')
raw_data_sale.head()
Out[252]:
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

In [253]:
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()
Out[253]:
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

In [254]:
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()
Out[254]:
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

In [255]:
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()
Out[255]:
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
In [256]:
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()
Out[256]:
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
In [257]:
sale_dataset['property_age'] = 2022 - sale_dataset['year_built']
sale_dataset.head()
Out[257]:
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
In [258]:
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()
Out[258]:
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
In [259]:
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()
Out[259]:
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
In [260]:
sale_cat_features = ['orientation', 'heating']
sale_dataset_numeric = sale_dataset.drop(sale_cat_features, axis = 1)
sale_dataset_numeric
Out[260]:
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:

In [261]:
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)
Out[261]:
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
In [262]:
sale_dataset_numeric_no_nulls.head()
Out[262]:
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
In [263]:
# 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']]
In [264]:
for i in range(0,len(cat_features_catboost)):
    X_sale[cat_features_catboost[i]].astype("category")
X_sale.head()
Out[264]:
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
In [265]:
# 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']]

Generación de las predicciones¶

Se genera la predicción y se incorpora al dataset:

In [266]:
sale_dataset_numeric_no_nulls['rent_predict'] = model_cat.predict(X_sale)
sale_dataset_numeric_no_nulls['meters'] = raw_data_sale['sq_meters_built']

Break-even¶

Se crea un índice de inversión que divia el €/m2 de venta entre el €/m2 de alquiler para obtener el break-even time:

In [267]:
sale_dataset_numeric_no_nulls['invest_index'] = sale_dataset_numeric_no_nulls['price'] / sale_dataset_numeric_no_nulls['rent_predict']

Selección de las 20 mejores inversiones¶

In [268]:
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)
In [269]:
best_investments.head()
Out[269]:
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:

  • Las 20 viviendas se sitúan en una zona con índice de precios +35 €/m2
  • Son propiedades antiguas
  • De tipo piso

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:

In [270]:
best_investments.describe(include='object')
Out[270]:
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:

In [271]:
raw_data_sale = pd.read_csv('processed_sale_Barcelona.csv', delimiter = ',')
raw_data_sale_org.iloc[410,:]
Out[271]:
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
In [272]:
raw_data_sale_org.iloc[1800,:]
Out[272]:
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

Resultados finales, conclusiones y vías abiertas¶

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:

  • Penalizar a aquellas viviendas que tengan muchos valores nulos, porque en las mejores inversiones, por ejemplo, hay muchos valores nulos. Aquellas que tengan más información serán las mejores, porque a nivel de negocio se podrá creer más en el resultado del modelo
  • En el listado de datos no está incluido el estado de la vivienda. Es probable que si son viviendas muy antiguas en barrios caros, necesiten una reforma integral (de ahí el precio), por lo que quizás sería más interesante buscar aquellas viviendas que no necesiten de ninguna inversión extra aparte de la propia compra