第二个机器学习应用：乳腺癌数据集在决策树模型上的挖掘

目录

决策树优化与可视化

1 决策树分类

2 决策树可视化

3 显示树的特征重要性

 特征重要性可视化

决策树回归

1 决策树回归

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决策树优化与可视化

1 决策树分类

from sklearn.datasets import load_breast_cancer
from sklearn.tree import DecisionTreeClassifier
from sklearn.model_selection import train_test_split
from sklearn import datasets
import matplotlib.pyplot as plt
import numpy as npcancer = datasets.load_breast_cancer()
X_train, X_test, y_train, y_test = train_test_split(cancer.data, cancer.target, stratify=cancer.target, random_state = 42)
tree = DecisionTreeClassifier(random_state=0)tree.fit(X_train, y_train)
print("Accuracy on traning set:{:.3f}".format(tree.score(X_train, y_train)))
print("Accuracy on test set:{:.3f}".format(tree.score(X_test, y_test)))
print("tree max depth:{}".format(tree. tree_.max_depth))
# 报错：AttributeError: 'function' object has no attribute 'data' function对象没有data属性
# 解决之后：
#Accuracy on traning set:1.000
#Accuracy on test set:0.937
#tree max depth:7

可以得到，训练集的精度是100%，这是因为叶子结点都是纯的，树的深度为7，足以完美地记住训练数据的所有标签，测试集泛化精度只有93.7%，明显过拟合。

不限制决策树的深度，它的深度和复杂度都可以变得特别大。故未剪枝的树容易过拟合，对新数据的泛化性能不佳。

现在将预剪枝应用在决策树上，可以阻止树的完全生长。

设置max_depth=4，这表明构造的决策树只有4层，限制树的深度可以减少过拟合，这会降低训练集的精度，但可以提高测试集的精度。

from sklearn.datasets import load_breast_cancer
from sklearn.tree import DecisionTreeClassifier
from sklearn.model_selection import train_test_split
from sklearn import datasets
import matplotlib.pyplot as plt
import numpy as npcancer = datasets.load_breast_cancer()
X_train, X_test, y_train, y_test = train_test_split(cancer.data, cancer.target, stratify=cancer.target, random_state = 42)
tree = DecisionTreeClassifier(max_depth=4, random_state=0)
tree.fit(X_train, y_train)
print("Accuracy on traning set:{:.3f}".format(tree.score(X_train, y_train)))
print("Accuracy on test set:{:.3f}".format(tree.score(X_test, y_test)))

Accuracy on traning set:0.988
Accuracy on test set:0.951

训练精度为98.8%，测试精度为95.1%，树的最大深度只有4层，降低了训练精度，但提高了泛化（测试）精度，改善了过拟合的状况。

2 决策树可视化

 

 使用 pip3 install graphviz 后， import graphviz 仍然报错：

ModuleNotFoundError: No module named 'graphviz'

使用命令：conda install python-graphviz；

 

from sklearn.datasets import load_breast_cancer
from sklearn.tree import DecisionTreeClassifier
from sklearn.model_selection import train_test_split
from sklearn import datasets
import matplotlib.pyplot as plt
import numpy as np
import graphviz
from sklearn.tree import export_graphviz
cancer = datasets.load_breast_cancer()
X_train, X_test, y_train, y_test = train_test_split(cancer.data, cancer.target, stratify=cancer.target, random_state = 42)
tree = DecisionTreeClassifier(max_depth=4, random_state=0)
tree.fit(X_train, y_train)
export_graphviz(tree,out_file="tree.dot",class_names=["malignat","benign"],feature_names=cancer.feature_names,impurity=False,filled=True)with open("tree.dot") as f:dot_graph = f.read() 
graphviz.Source(dot_graph)# out：ModuleNotFoundError: No module named 'graphviz'

尝试了很多种方法并没有解决问题‼️

http://t.csdn.cn/wAVEK ⬅️可用此方法再次验证

3 显示树的特征重要性

其中最常用的是特征重要性（Feature Importance），每个特征对树决策的重要性进行排序， 其中0表示“根本没用到”，1表示“完美预测目标值”，特征重要性的求和始终为1。

from sklearn.datasets import load_breast_cancer
from sklearn.tree import DecisionTreeClassifier
from sklearn.model_selection import train_test_split
from sklearn import datasets
import matplotlib.pyplot as plt
import numpy as npcancer = datasets.load_breast_cancer()
X_train, X_test, y_train, y_test = train_test_split(cancer.data, cancer.target, stratify=cancer.target, random_state = 42)
tree = DecisionTreeClassifier(max_depth=4, random_state=0)
tree.fit(X_train, y_train)
print("Feature imprtance:\n{}".format(tree.feature_importances_))

Feature imprtance:
[0.         0.         0.         0.         0.         0.0.         0.         0.         0.         0.01019737 0.048398250.         0.         0.0024156  0.         0.         0.0.         0.         0.72682851 0.0458159  0.         0.0.0141577  0.         0.018188   0.1221132  0.01188548 0.        ]

 特征重要性可视化

from sklearn.datasets import load_breast_cancer
from sklearn.tree import DecisionTreeClassifier
from sklearn.model_selection import train_test_split
from sklearn import datasets
import matplotlib.pyplot as plt
import numpy as npcancer = datasets.load_breast_cancer()
X_train, X_test, y_train, y_test = train_test_split(cancer.data, cancer.target, stratify=cancer.target, random_state = 42)
tree = DecisionTreeClassifier(max_depth=4, random_state=0)
tree.fit(X_train, y_train)
print("Feature imprtance:\n{}".format(tree.feature_importances_))def plot_feature_importances_cancer(model):n_features = cancer.data.shape[1]plt.barh(range(n_features),model.feature_importances_,align='center')plt.yticks(np.arange(n_features),cancer.feature_names)plt.xlabel("Feature importance")plt.ylabel("Feature")plot_feature_importances_cancer(tree)

 

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决策树回归

1 决策树回归

#决策树回归
import numpy as np
import matplotlib.pyplot as plt
from sklearn import datasets
boston = datasets.load_boston()X = boston.data
y = boston.target
from sklearn.model_selection import train_test_split
X_train, X_test, y_train, y_test = train_test_split(X,y, random_state=666)# DecisionTreeRegressor决策树的回归器
from sklearn.tree import DecisionTreeRegressor
dt_reg = DecisionTreeRegressor( max_depth= 11 )
dt_reg.fit(X_train, y_train)
print(dt_reg.score(X_test,y_test))
print(dt_reg.score(X_train,y_train))
# 0.6005800948958887
# 1.0# 此时决策树在训练数据集上预测准确率是百分百的，但是在测试数据集上只有60%的准确率
# 很显然出现了过拟合，可通过设置树深来改善过拟合
# 0.6908496704356424
# 0.9918292293652428

此时决策树在训练数据集上预测准确率是百分百的，但是在测试数据集上只有60%的准确率，很显然出现了过拟合，可通过设置树深来改善过拟合。