NumPy实现logistic回归

本文主要是介绍NumPy实现logistic回归，希望对大家解决编程问题提供一定的参考价值，需要的开发者们随着小编来一起学习吧！

1.sklearn实现

import numpy as np
import matplotlib.pyplot as plt
import pandas as pd
import os
import sys
from sklearn.model_selection import train_test_split
from sklearn.preprocessing import StandardScaler
from sklearn.linear_model import LogisticRegression
from sklearn.metrics import  r2_score,confusion_matrixcurrent_dir=os.getcwd()
path = current_dir +"\\" +"BreastCancer.csv";cancer = pd.read_csv(path)cancer = cancer.drop(["id","Unnamed: 32"], axis=1)  # axis = 1, drop a column, axis = 0, drop a row
cancer['diagnosis'] = [ 1 if i == "M" else 0 for i in cancer['diagnosis'] ]y = cancer['diagnosis']                       # (569,)
x = cancer.drop(["diagnosis"], axis=1) # (569, 30)# (455, 30) (114, 30) (455,) (114,)
x_train, x_test, y_train, y_test = train_test_split(x, y, test_size=0.2, random_state=0)# 标准化处理，每一列求mean和std，然后X_scaled = (x-mean)/std
# 让每一列的数据，均值为0，方差为1. 否则会内存溢出
scaler = StandardScaler()
x_train_scaled = scaler.fit_transform(x_train)
x_test_scaled = scaler.transform(x_test)logreg = LogisticRegression(max_iter = 1000)
logreg.fit(x_train_scaled, y_train)train_accuracy = logreg.score(x_train_scaled, y_train)  # 0.989010989010989
test_accuracy = logreg.score(x_test_scaled, y_test)     # 0.9649122807017544
print("Training Accuracy:", train_accuracy)
print("Test Accuracy:", test_accuracy)y_pred = logreg.predict(x_test_scaled)
r2 = r2_score(y_test,y_pred)         # Test R2: 0.8551921244839632
print("Test R2:", r2)print ( confusion_matrix(y_test,y_pred) )
"""
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"""

2. NumPy实现

import numpy as np
import matplotlib.pyplot as plt
import pandas as pd
import os
import sys
from sklearn.model_selection import train_test_split
from sklearn.preprocessing import StandardScaler
from sklearn.metrics import mean_squared_error, r2_score
from sklearn.metrics import confusion_matrixclass Logistic:def __init__(self,learning_rate = 0.01, epochs = 1000, verbose= False):self.lr = learning_rateself.epochs = epochsself.verbose = verboseself.weight = Noneself.bias = Nonedef sigmoid(self,x):z = 1 / (1 + np.exp(-x))return zdef initialise_weights(self,n):self.weight = np.zeros(n)self.bias = 0def predict_prob(self,X):linear_result = X @ self.weight + self.biasy_pred = self.sigmoid(linear_result)return y_preddef fit(self,X,y):m , n = X.shapeself.initialise_weights(n)for epoch in range(self.epochs):y_pred = self.predict_prob(X)error = (y_pred - y)dcost_dw = (1/m) * ( X.T @ error )dcost_db = (1/m) * np.sum( error )self.weight -= self.lr * dcost_dwself.bias -= self.lr * dcost_dbif self.verbose and epoch % 100 == 99:loss = (-1 / m) *np.sum(y*np.log(y_pred) + (1-y) * np.log(1-y_pred))print(f"epoch:{epoch} loss:{loss}")def predict(self,X):y_pred = self.predict_prob(X)y_pred = np.where(y_pred>=0.5,1,0)return y_predcurrent_dir=os.getcwd()
path = current_dir +"\\" +"BreastCancer.csv";cancer = pd.read_csv(path)cancer = cancer.drop(["id","Unnamed: 32"], axis=1)  # axis = 1, drop a column, axis = 0, drop a row
cancer['diagnosis'] = [ 1 if i == "M" else 0 for i in cancer['diagnosis'] ]print(cancer.shape) # (569, 31)y = cancer['diagnosis']                       # (569,)
x = cancer.drop(["diagnosis"], axis=1) # (569, 30)# (455, 30) (114, 30) (455,) (114,),类型是DataFrame
x_train, x_test, y_train, y_test = train_test_split(x, y, test_size=0.2, random_state=0)
x_train,x_test,y_train,y_test = np.array(x_train),np.array(x_test),np.array(y_train),np.array(y_test) # 转为ndarray矩阵格式scaler = StandardScaler()
x_train_scaled = scaler.fit_transform(x_train)
x_test_scaled = scaler.transform(x_test)logistic = Logistic(learning_rate = 0.01, epochs = 1000, verbose = True)
logistic.fit(x_train_scaled,y_train)y_pred = logistic.predict(x_test_scaled)r2 = r2_score(y_test,y_pred)
print(r2)print ( confusion_matrix(y_test,y_pred) )
"""
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"""

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