Commit af8e969b authored by Weng's avatar Weng
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%% Cell type:markdown id:758926cd tags:
# Random Survival Trees für BU-Tafeln
%% Cell type:code id:df8cdf81 tags:
``` python
#Benötigte Bibliotheken
import pandas as pd
import numpy as np
from random import randint
from sklearn.model_selection import train_test_split
from sksurv.tree import SurvivalTree
from sksurv.tree import SurvivalTreeTruncated
from sksurv.datasets.base import _get_x_y_survival
from sksurv.datasets.base import _get_x_y_survival_truncated
from sksurv.ensemble import RandomSurvivalForest
from sksurv.ensemble import RandomSurvivalForestTruncated
from export import print_tree
import eli5
from eli5.sklearn import PermutationImportance
```
%% Cell type:code id:78289b58 tags:
``` python
#Einlesen der Daten
path="KleinerBUBestand_Test.csv"
data = pd.read_csv(path)
data_train_ges,data_test_ges=train_test_split(data,test_size=0.2, random_state=20)
del data['Unnamed: 0']
```
%% Cell type:code id:3ed487a8 tags:
``` python
data_ges=data
```
%% Cell type:code id:869c86e3 tags:
``` python
x_train_2, y_train_2=_get_x_y_survival(data_train_ges, "Ereignis", "Austrittsalter", 1)
x_train_2.drop(['Eintrittsalter'],axis = 1, inplace = True)
x_test_2, y_test_2=_get_x_y_survival(data_test_ges, "Ereignis", "Austrittsalter", 1)
x_test_2.drop(['Eintrittsalter'],axis = 1, inplace = True)
#links-abgeschnitten und rechts-zensiert
x_train_3, y_train_3=_get_x_y_survival_truncated(data_train_ges, "Ereignis","Eintrittsalter", "Austrittsalter", 1)
x_test_3, y_test_3=_get_x_y_survival_truncated(data_test_ges, "Ereignis", "Eintrittsalter", "Austrittsalter", 1)
```
%% Cell type:code id:269f3b38 tags:
``` python
from lifelines import NelsonAalenFitter
import matplotlib.pyplot as plt
nf1 = NelsonAalenFitter(nelson_aalen_smoothing=False)
nf2 = NelsonAalenFitter(nelson_aalen_smoothing=False)
data_female=data_ges[data_ges['Geschlecht']==1]
data_male=data_ges[data_ges['Geschlecht']==2]
nf1.fit(data_male['Austrittsalter'], data_male['Ereignis'],entry=data_male['Eintrittsalter'])
nf2.fit(data_female['Austrittsalter'], data_female['Ereignis'],entry=data_female['Eintrittsalter'])
#in Hazardfunktion umrechnen
s1=nf1.cumulative_hazard_.to_numpy().reshape(43)
t1=np.diff(s1)
s2=nf2.cumulative_hazard_.to_numpy().reshape(43)
t2=np.diff(s2)
data_DAV = pd.read_csv("Daten/DAV_Tafeln.csv",sep=";",decimal=",")
p_f=data_DAV['DAV Female'].to_numpy(dtype='float')[0:36]
p_m=data_DAV['DAV Male'].to_numpy(dtype='float')[0:36]
plt.plot(t1,color="red",label="Männer Daten")
plt.plot(p_m,color="blue",label="Männer DAV")
plt.plot(t2,color="green",label="Frauen Daten")
plt.plot(p_f,color="orange",label="Frauen DAV")
plt.title("Vergleich Daten mit DAV-Tafel")
plt.show()
```
%%%% Output: display_data
![](data:image/png;base64,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)
%% Cell type:markdown id:b9997db0 tags:
## Survival Trees
%% Cell type:code id:e5896a4a tags:
``` python
estimator = SurvivalTreeTruncated(max_depth=5).fit(x_train_3,y_train_3)
estimator.score(x_test_3,y_test_3)
```
%%%% Output: execute_result
0.6693620440194961
%% Cell type:code id:9d625610 tags:
``` python
print_tree(estimator)
```
%%%% Output: stream
The binary tree structure has 39 nodes and has the following tree structure:
node=0 is a split node: go to node 1 if X[:, 2] <= 1.5 else to node 12.
node=1 is a split node: go to node 2 if X[:, 0] <= 36.0 else to node 3.
node=2 is a leaf node.
node=3 is a split node: go to node 4 if X[:, 0] <= 19973.5 else to node 11.
node=4 is a split node: go to node 5 if X[:, 6] <= 6.5 else to node 8.
node=5 is a split node: go to node 6 if X[:, 0] <= 13581.0 else to node 7.
node=6 is a leaf node.
node=7 is a leaf node.
node=8 is a split node: go to node 9 if X[:, 0] <= 11261.0 else to node 10.
node=9 is a leaf node.
node=10 is a leaf node.
node=11 is a leaf node.
node=12 is a split node: go to node 13 if X[:, 5] <= 1.5 else to node 26.
node=13 is a split node: go to node 14 if X[:, 3] <= 1.5 else to node 21.
node=14 is a split node: go to node 15 if X[:, 0] <= 19525.5 else to node 18.
node=15 is a split node: go to node 16 if X[:, 0] <= 16218.5 else to node 17.
node=16 is a leaf node.
node=17 is a leaf node.
node=18 is a split node: go to node 19 if X[:, 0] <= 19537.0 else to node 20.
node=19 is a leaf node.
node=20 is a leaf node.
node=21 is a split node: go to node 22 if X[:, 0] <= 6871.5 else to node 23.
node=22 is a leaf node.
node=23 is a split node: go to node 24 if X[:, 2] <= 3.5 else to node 25.
node=24 is a leaf node.
node=25 is a leaf node.
node=26 is a split node: go to node 27 if X[:, 5] <= 2.5 else to node 34.
node=27 is a split node: go to node 28 if X[:, 1] <= 0.5 else to node 31.
node=28 is a split node: go to node 29 if X[:, 2] <= 2.5 else to node 30.
node=29 is a leaf node.
node=30 is a leaf node.
node=31 is a split node: go to node 32 if X[:, 1] <= 2.5 else to node 33.
node=32 is a leaf node.
node=33 is a leaf node.
node=34 is a split node: go to node 35 if X[:, 4] <= 3.5 else to node 38.
node=35 is a split node: go to node 36 if X[:, 1] <= 1.5 else to node 37.
node=36 is a leaf node.
node=37 is a leaf node.
node=38 is a leaf node.
%% Cell type:markdown id:8f961248 tags:
## Random Survival Forest
%% Cell type:code id:fed384e2 tags:
``` python
random_state=20
rsf2=RandomSurvivalForestTruncated(n_estimators=10,max_depth=5,max_features="sqrt",n_jobs=2,random_state=random_state)
rsf2.fit(x_train_3, y_train_3)
rsf2.score(x_test_3,y_test_3)
#rsf2.score(x_train_3,y_train_3)
```
%%%% Output: execute_result
0.6730808979923856
%% Cell type:code id:8a0b4a40 tags:
``` python
#import joblib
#Nützliche Befehler, wenn man das Modell abspeichern bzw. laden möchte:
#joblib.dump(rsf2, "./random_forest_truncated.joblib")
#loaded_rf_truncated = joblib.load("./random_forest_truncated.joblib")
```
%% Cell type:code id:004eade0 tags:
``` python
perm=PermutationImportance(rsf2,n_iter=20,random_state=random_state)
perm.fit(x_test_3, y_test_3)
eli5.show_weights(perm,feature_names=x_test_3.columns.to_list())
```
%%%% Output: execute_result
<IPython.core.display.HTML object>
%% Cell type:markdown id:dde0d3ce tags:
## Prognose
%% Cell type:code id:cb538b34 tags:
``` python
#Teilmenge definieren
subset=data_test_ges
data_subset_x=x_test_3
```
%% Cell type:code id:216929d3 tags:
``` python
#Modellprognose
table= rsf2.predict_cumulative_hazard_function(data_subset_x,return_array=True)
curve=table.mean(axis=0)
curve=np.diff(curve)[0:40]
#Sterblichkeiten aus Nelson-Aalen-Estimator für Teilbestand
nf = NelsonAalenFitter(nelson_aalen_smoothing=False)
nf.fit(subset['Austrittsalter'], subset['Ereignis'],entry=subset['Eintrittsalter'])
s2=nf.cumulative_hazard_.to_numpy().reshape(43)
t2=np.diff(s2)
```
%% Cell type:code id:fa3bebaf tags:
``` python
plt.plot(np.arange(20,55), curve[0:35],'b',label='Modell')
plt.plot(np.arange(20,55), t2[0:35],'r',label='Daten')
plt.legend()
plt.title("Inzidenzwahrscheinlichkeiten im Vergleich")
plt.show()
```
%%%% Output: display_data
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)
%% Cell type:code id:17ee73cb tags:
``` python
```
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