决策树和随机森林分类

import graphviz
from sklearn.datasets import load_breast_cancer
from sklearn.ensemble import RandomForestClassifier
from sklearn.model_selection import train_test_split
from sklearn.tree import DecisionTreeClassifier, export_graphviz
from IPython.display import display
import matplotlib.pyplot as plt
import numpy as np
import matplotlib as mt
import pandas as pd

cancer = load_breast_cancer()
#决策树
# 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 training set: {:.3f}".format(tree.score(X_train, y_train)))
# print("Accuracy on test set: {:.3f}".format(tree.score(X_test, y_test)))

#随机森林
X_train, X_test, y_train, y_test = train_test_split(
    cancer.data, cancer.target, random_state=0)
tree = RandomForestClassifier(n_estimators=100,max_features=15,random_state=0)
tree.fit(X_train, y_train)

print("RandomForestClassifier Accuracy on training set: {:.3f}".format(tree.score(X_train, y_train)))
print("RandomForestClassifier Accuracy on test set: {:.3f}".format(tree.score(X_test, y_test)))


# export_graphviz(tree, out_file="tree.dot", class_names=["malignant", "benign"],
#                 feature_names=cancer.feature_names, impurity=False, filled=True)
# with open("tree.dot") as f:
#     dot_graph = f.read()
# display(graphviz.Source(dot_graph))
#
# def plot_feature_importances_cancer(model):
#     n_features = cancer.data.shape[1]
#     plt.barh(np.arange(n_features), model.feature_importances_, align='center')
#     plt.yticks(np.arange(n_features), cancer.feature_names)
#     plt.xlabel("Feature importance")
#     plt.ylabel("Feature")
#     plt.ylim(-1, n_features)
#     plt.show()
#
# plot_feature_importances_cancer(tree)

决策树：

默认深度，因为深度过大，造成过拟合，训练精度是1
Accuracy on training set: 1.000
Accuracy on test set: 0.937

设置为4，tree = DecisionTreeClassifier(max_depth=4,random_state=0)
Accuracy on training set: 0.988
Accuracy on test set: 0.951

设置为3，
Accuracy on training set: 0.977
Accuracy on test set: 0.944

设置为5，训练精度和4的时候一样，所以4是比较适合的
Accuracy on training set: 0.995
Accuracy on test set: 0.951

随机森林：

通过预剪枝进一步提升了测试精度

n_estimators=100,max_features=15

RandomForestClassifier Accuracy on training set: 1.000
RandomForestClassifier Accuracy on test set: 0.979

树算法的缺点是测试数据不可超出训练数据的特征范围，而且容易过拟合，泛化性能较差。

比如预测数据，出现了泛化异常。

from sklearn.tree import DecisionTreeRegressor
# use historical data to forecast prices after the year 2000
data_train = ram_prices[ram_prices.date < 2000]
data_test = ram_prices[ram_prices.date >= 2000]

# predict prices based on date
X_train = data_train.date[:, np.newaxis]
# we use a log-transform to get a simpler relationship of data to target
y_train = np.log(data_train.price)

tree = DecisionTreeRegressor(max_depth=3).fit(X_train, y_train)
linear_reg = LinearRegression().fit(X_train, y_train)

# predict on all data
X_all = ram_prices.date[:, np.newaxis]

pred_tree = tree.predict(X_all)
pred_lr = linear_reg.predict(X_all)

# undo log-transform
price_tree = np.exp(pred_tree)
price_lr = np.exp(pred_lr)
plt.semilogy(data_train.date, data_train.price, label="Training data")
plt.semilogy(data_test.date, data_test.price, label="Test data")
plt.semilogy(ram_prices.date, price_tree, label="Tree prediction")
plt.semilogy(ram_prices.date, price_lr, label="Linear prediction")
plt.legend()

 

随机森林本质是多个决策树的集合，避免单一决策树的过拟合。

可以看出下图在深度为4的决策树，依然有过拟合，而随机森林要好很多。

在sklearn中的随机森林只有预剪枝，没有后剪枝，梯度提升树也是一样。使用xgboost包在速度和功能上都更强于sklearn。

xgboost：https://github.com/dmlc/xgboost