#!/usr/bin/env python3 # -*- coding:UTF-8 -*- from sklearn.linear_model import LogisticRegression import numpy as np import random """ 函数说明:sigmoid函数 Parameters: inX - 数据 Returns: sigmoid函数 Author: Jack Cui Blog: http://blog.csdn.net/c406495762 Zhihu: https://www.zhihu.com/people/Jack--Cui/ Modify: 2017-09-05 """ def sigmoid(inX): return 1.0 / (1 + np.exp(-inX)) """ 函数说明:改进的随机梯度上升算法 Parameters: dataMatrix - 数据数组 classLabels - 数据标签 numIter - 迭代次数 Returns: weights - 求得的回归系数数组(最优参数) Author: Jack Cui Blog: http://blog.csdn.net/c406495762 Zhihu: https://www.zhihu.com/people/Jack--Cui/ Modify: 2017-09-05 """ def stocGradAscent1(dataMatrix, classLabels, numIter=150): m,n = np.shape(dataMatrix) #返回dataMatrix的大小。m为行数,n为列数。 weights = np.ones(n) #参数初始化 #存储每次更新的回归系数 for j in range(numIter): dataIndex = list(range(m)) for i in range(m): alpha = 4/(1.0+j+i)+0.01 #降低alpha的大小,每次减小1/(j+i)。 randIndex = int(random.uniform(0,len(dataIndex))) #随机选取样本 h = sigmoid(sum(dataMatrix[randIndex]*weights)) #选择随机选取的一个样本,计算h error = classLabels[randIndex] - h #计算误差 weights = weights + alpha * error * dataMatrix[randIndex] #更新回归系数 del(dataIndex[randIndex]) #删除已经使用的样本 return weights #返回 """ 函数说明:梯度上升算法 Parameters: dataMatIn - 数据集 classLabels - 数据标签 Returns: weights.getA() - 求得的权重数组(最优参数) Author: Jack Cui Blog: http://blog.csdn.net/c406495762 Zhihu: https://www.zhihu.com/people/Jack--Cui/ Modify: 2017-08-28 """ def gradAscent(dataMatIn, classLabels): dataMatrix = np.mat(dataMatIn) #转换成numpy的mat labelMat = np.mat(classLabels).transpose() #转换成numpy的mat,并进行转置 m, n = np.shape(dataMatrix) #返回dataMatrix的大小。m为行数,n为列数。 alpha = 0.01 #移动步长,也就是学习速率,控制更新的幅度。 maxCycles = 500 #最大迭代次数 weights = np.ones((n,1)) for k in range(maxCycles): h = sigmoid(dataMatrix * weights) #梯度上升矢量化公式 error = labelMat - h weights = weights + alpha * dataMatrix.transpose() * error return weights.getA() #将矩阵转换为数组,并返回 """ 函数说明:使用Python写的Logistic分类器做预测 Parameters: 无 Returns: 无 Author: Jack Cui Blog: http://blog.csdn.net/c406495762 Zhihu: https://www.zhihu.com/people/Jack--Cui/ Modify: 2017-09-05 """ def colicTest(): frTrain = open('horseColicTraining.txt') #打开训练集 frTest = open('horseColicTest.txt') #打开测试集 trainingSet = []; trainingLabels = [] for line in frTrain.readlines(): currLine = line.strip().split('\t') lineArr = [] for i in range(len(currLine)-1): lineArr.append(float(currLine[i])) trainingSet.append(lineArr) trainingLabels.append(float(currLine[-1])) trainWeights = stocGradAscent1(np.array(trainingSet), trainingLabels,500) #使用改进的随即上升梯度训练 errorCount = 0; numTestVec = 0.0 for line in frTest.readlines(): numTestVec += 1.0 currLine = line.strip().split('\t') lineArr =[] for i in range(len(currLine)-1): lineArr.append(float(currLine[i])) if int(classifyVector(np.array(lineArr), trainWeights))!= int(currLine[-1]): errorCount += 1 errorRate = (float(errorCount)/numTestVec) * 100 #错误率计算 print("测试集错误率为: %.2f%%" % errorRate) """ 函数说明:分类函数 Parameters: inX - 特征向量 weights - 回归系数 Returns: 分类结果 Author: Jack Cui Blog: http://blog.csdn.net/c406495762 Zhihu: https://www.zhihu.com/people/Jack--Cui/ Modify: 2017-09-05 """ def classifyVector(inX, weights): prob = sigmoid(sum(inX*weights)) if prob > 0.5: return 1.0 else: return 0.0 """ 函数说明:使用Sklearn构建Logistic回归分类器 Parameters: 无 Returns: 无 Author: Jack Cui Blog: http://blog.csdn.net/c406495762 Zhihu: https://www.zhihu.com/people/Jack--Cui/ Modify: 2017-09-05 """ def colicSklearn(): frTrain = open('horseColicTraining.txt') #打开训练集 frTest = open('horseColicTest.txt') #打开测试集 trainingSet = []; trainingLabels = [] testSet = []; testLabels = [] for line in frTrain.readlines(): currLine = line.strip().split('\t') lineArr = [] for i in range(len(currLine)-1): lineArr.append(float(currLine[i])) trainingSet.append(lineArr) trainingLabels.append(float(currLine[-1])) for line in frTest.readlines(): currLine = line.strip().split('\t') lineArr =[] for i in range(len(currLine)-1): lineArr.append(float(currLine[i])) testSet.append(lineArr) testLabels.append(float(currLine[-1])) classifier = LogisticRegression(solver = 'sag',max_iter = 5000).fit(trainingSet, trainingLabels) test_accurcy = classifier.score(testSet, testLabels) * 100 print('正确率:%f%%' % test_accurcy) if __name__ == '__main__': colicSklearn()