Python逻辑回归

Logistic Regression Classifier逻辑回归主要思想就是用最大似然概率方法构建出方程，为最大化方程，利用牛顿梯度上升求解方程参数。

优点：计算代价不高，易于理解和实现。
缺点：容易欠拟合，分类精度可能不高。
使用数据类型：数值型和标称型数据。
好了，下面开始正文。

算法的思路我就不说了，我就提供一个万能模板，适用于任何纬度数据集。
虽然代码类似于梯度下降，但他是个分类算法

def sigmoid(x):
return 1/(1+np.exp(-x))

def weights(x,y,alpha,thershold):
#初始化参数
m,n = x_train.shape
theta = np.random.rand(n) #参数
cnt = 0 # 迭代次数
max_iter = 50000
#开始迭代
while cnt < max_iter:
cnt += 1
diff = np.full(n,0)
for i in range(m):
diff = (y[i]-sigmoid(theta.T @ x[i]))*x[i]
theta = theta + alpha * diff
if(abs(diff)<thershold).all():
break
return theta

def predict(x_test,theta):
if sigmoid(theta.T @ x_test)>0.5:
return 1
else:return 0

x_train = np.array([[1,2.697,6.254],
[1,1.872,2.014],
[1,2.312,0.812],
[1,1.983,4.990],
[1,0.932,3.920],
[1,1.321,5.583],
[1,2.215,1.560],
[1,1.659,2.932],
[1,0.865,7.362],
[1,1.685,4.763],
[1,1.786,2.523]])
y_train = np.array([1,0,0,1,0,1,0,0,1,0,1])
alpha = 0.001 # 学习率
thershold = 0.01 # 指定一个阈值，用于检查两次误差
print(weights(x_train,y_train,alpha,thershold))

以上所述是小编给大家介绍的Python利用逻辑回归分类实现模板，希望对大家有所帮助！