def f(x1, x2):
  y = 0.5 * np.sin(x1) + 0.5 * np.cos(x2) + 0.1 * x1 + 3
  return y
def load_data():
  x1_train = np.linspace(0,50,500)
  x2_train = np.linspace(-10,10,500)
  data_train = np.array([[x1,x2,f(x1,x2) + (np.random.random(1)-0.5)] for x1,x2 in zip(x1_train, x2_train)])
  x1_test = np.linspace(0,50,100)+ 0.5 * np.random.random(100)
  x2_test = np.linspace(-10,10,100) + 0.02 * np.random.random(100)
  data_test = np.array([[x1,x2,f(x1,x2)] for x1,x2 in zip(x1_test, x2_test)])
  return data_train, data_test

import numpy as np
import matplotlib.pyplot as plt
###########1.数据生成部分##########
def f(x1, x2):
  y = 0.5 * np.sin(x1) + 0.5 * np.cos(x2) + 3 + 0.1 * x1
  return y
def load_data():
  x1_train = np.linspace(0,50,500)
  x2_train = np.linspace(-10,10,500)
  data_train = np.array([[x1,x2,f(x1,x2) + (np.random.random(1)-0.5)] for x1,x2 in zip(x1_train, x2_train)])
  x1_test = np.linspace(0,50,100)+ 0.5 * np.random.random(100)
  x2_test = np.linspace(-10,10,100) + 0.02 * np.random.random(100)
  data_test = np.array([[x1,x2,f(x1,x2)] for x1,x2 in zip(x1_test, x2_test)])
  return data_train, data_test
train, test = load_data()
x_train, y_train = train[:,:2], train[:,2] #数据前两列是x1,x2 第三列是y,这里的y有随机噪声
x_test ,y_test = test[:,:2], test[:,2] # 同上,不过这里的y没有噪声
###########2.回归部分##########
def try_different_method(model):
  model.fit(x_train,y_train)
  score = model.score(x_test, y_test)
  result = model.predict(x_test)
  plt.figure()
  plt.plot(np.arange(len(result)), y_test,'go-',label='true value')
  plt.plot(np.arange(len(result)),result,'ro-',label='predict value')
  plt.title('score: %f'%score)
  plt.legend()
  plt.show()
###########3.具体方法选择##########
####3.1决策树回归####
from sklearn import tree
model_DecisionTreeRegressor = tree.DecisionTreeRegressor()
####3.2线性回归####
from sklearn import linear_model
model_LinearRegression = linear_model.LinearRegression()
####3.3SVM回归####
from sklearn import svm
model_SVR = svm.SVR()
####3.4KNN回归####
from sklearn import neighbors
model_KNeighborsRegressor = neighbors.KNeighborsRegressor()
####3.5随机森林回归####
from sklearn import ensemble
model_RandomForestRegressor = ensemble.RandomForestRegressor(n_estimators=20)#这里使用20个决策树
####3.6Adaboost回归####
from sklearn import ensemble
model_AdaBoostRegressor = ensemble.AdaBoostRegressor(n_estimators=50)#这里使用50个决策树
####3.7GBRT回归####
from sklearn import ensemble
model_GradientBoostingRegressor = ensemble.GradientBoostingRegressor(n_estimators=100)#这里使用100个决策树
####3.8Bagging回归####
from sklearn.ensemble import BaggingRegressor
model_BaggingRegressor = BaggingRegressor()
####3.9ExtraTree极端随机树回归####
from sklearn.tree import ExtraTreeRegressor
model_ExtraTreeRegressor = ExtraTreeRegressor()
###########4.具体方法调用部分##########
try_different_method(model_DecisionTreeRegressor)