本文内容是基于Mac OS X系统，python版文为2.7.10，数据在网上自行搜索下载，结合《机器学习实战》，《统计学习方法》食用更加。
kNN算法概述
创建kNN.py文件，输入以下代码：
def createDataSet():
group = array([[1.0,1.1],[1.0,1.0],[0,0],[0,0.1]])
labels = ['A','A','B','B']
return group, labels
打开终端，使得路径到kNN.py文件保存的位置，我的路径是：/Users/XuanSingle/Documents/MachineLearning/Ch02。
终端输入：
cd /Users/xuanxinle/Documents/MachineLearning/Ch02
python
>>>import kNN
>>> group,labels = kNN.createDataSet()
>>> group
array([[ 1. , 1.1],
[ 1. , 1. ],
[ 0. , 0. ],
[ 0. , 0.1]])
>>> labels
['A', 'A', 'B', 'B']
接下来在kNN文件中加入以下代码：
def classify0(inX, dataSet, labels, k):
dataSetSize = dataSet.shape[0]
diffMat = tile(inX, (dataSetSize,1)) - dataSet
sqDiffMat = diffMat**2
sqDistances = sqDiffMat.sum(axis=1)
distances = sqDistances**0.5
sortedDistIndicies = distances.argsort()
classCount={}
for i in range(k):
voteIlabel = labels[sortedDistIndicies[i]]
classCount[voteIlabel] = classCount.get(voteIlabel,0) + 1
sortedClassCount = sorted(classCount.iteritems(), key = operator.itemgetter(1), reverse = True)
return sortedClassCount[0][0]
>>> kNN.classify0([0,0],group,labels,3)
'B'
示例:使用 k-近邻算法改进约会网站的配对效果
kNN中添加代码：
def file2matrix(filename):
fr = open(filename)
numberOfLines = len(fr.readlines())
returnMat = zeros((numberOfLines,3))
classLabelVector = []
fr = open(filename)
index = 0
for line in fr.readlines():
line = line.strip()
listFromLine = line.split('\t')
returnMat[index,:] = listFromLine[0:3]
classLabelVector.append(int(listFromLine[-1]))
index += 1
return returnMat,classLabelVector
终端输入：
>>> datingDataMat,datingLabels = kNN.file2matrix('datingTestSet2.txt')
>>> datingDataMat
array([[ 4.09200000e+04, 8.32697600e+00, 9.53952000e-01],
[ 1.44880000e+04, 7.15346900e+00, 1.67390400e+00],
[ 2.60520000e+04, 1.44187100e+00, 8.05124000e-01],
...,
[ 2.65750000e+04, 1.06501020e+01, 8.66627000e-01],
[ 4.81110000e+04, 9.13452800e+00, 7.28045000e-01],
[ 4.37570000e+04, 7.88260100e+00, 1.33244600e+00]])
>>> datingLabels[0:20]
[3, 2, 1, 1, 1, 1, 3, 3, 1, 3, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3]
画图：
>>> from numpy import *
>>> import matplotlib
>>> import matplotlib.pyplot as plt
>>> fig = plt.figure()
>>> ax = fig.add_subplot(111)
>>>ax.scatter(datingDataMat[:,1],datingDataMat[:,2],15.0*array(datingLabels),15.0*array(datingLabels))
>>> plt.show()
kNN中添加代码：
def autoNorm(dataSet):
minVals = dataSet.min(0)
maxVals = dataSet.max(0)
ranges = maxVals - minVals
normDataSet = zeros(shape(dataSet))
m = dataSet.shape[0]
normDataSet = dataSet - tile(minVals, (m,1))
normDataSet = normDataSet/tile(ranges, (m,1))
return normDataSet, ranges, minVals
终端输入：
>>> reload(kNN)
>>> normMat,ranges,minVals = kNN.autoNorm(datingDataMat)
>>> normMat
array([[ 0.44832535, 0.39805139, 0.56233353],
[ 0.15873259, 0.34195467, 0.98724416],
[ 0.28542943, 0.06892523, 0.47449629],
...,
[ 0.29115949, 0.50910294, 0.51079493],
[ 0.52711097, 0.43665451, 0.4290048 ],
[ 0.47940793, 0.3768091 , 0.78571804]])
>>> ranges
array([ 9.12730000e+04, 2.09193490e+01, 1.69436100e+00])
>>> minVals
array([ 0. , 0. , 0.001156])
kNN中添加代码：
def datingClassTest():
hoRatio = 0.50 #hold out 10%
datingDataMat,datingLabels = file2matrix('datingTestSet2.txt') #load data setfrom file
normMat, ranges, minVals = autoNorm(datingDataMat)
m = normMat.shape[0]
numTestVecs = int(m*hoRatio)
errorCount = 0.0
for i in range(numTestVecs):
classifierResult = classify0(normMat[i,:],normMat[numTestVecs:m,:],datingLabels[numTestVecs:m],3)
print "the classifier came back with: %d, the real answer is: %d" % (classifierResult, datingLabels[i])
if (classifierResult != datingLabels[i]): errorCount += 1.0
print "the total error rate is: %f" % (errorCount/float(numTestVecs))
print errorCount
终端输入：
>>> reload(kNN)
>>> kNN.datingClassTest()
the classifier came back with: 3, the real answer is: 3
the classifier came back with: 2, the real answer is: 2
the classifier came back with: 1, the real answer is: 1
...
the classifier came back with: 1, the real answer is: 1
the classifier came back with: 1, the real answer is: 1
the classifier came back with: 2, the real answer is: 2
the total error rate is: 0.064000
kNN中添加代码：
def classifyPerson():
resultList = ['not at all','in small doses','in large doses']
percentTats = float(raw_input("percentage of time spent playing video games?"))
ffMiles = float(raw_input("frequent flier miles earned per year?"))
iceCream = float(raw_input("liters of ice cream consumed per year?"))
datingDataMat,datingLabels = file2matrix('datingTestSet2.txt')
normMat,ranges,minVals = autoNorm(datingDataMat)
inArr = array([ffMiles,percentTats,iceCream])
classifierResult = classify0((inArr-minVals)/ranges,normMat,datingLabels,3)
print "You will probably like this person:",resultList[classifierResult - 1]
终端输入：
>>> reload(kNN)
>>> kNN.classifyPerson()
percentage of time spent playing video games?10
frequent flier miles earned per year?10000
liters of ice cream consumed per year?0.5
You will probably like this person: in small doses
示例:手写识别系统
kNN中添加代码：
def img2vector(filename):
returnVect = zeros((1,1024))
fr = open(filename)
for i in range(32):
lineStr = fr.readline()
for j in range(32):
returnVect[0,32*i+j] = int(lineStr[j])
return returnVect
终端输入：
>>> reload(kNN)
>>> testVector = kNN.img2vector('testDigits/0_13.txt')
>>> testVector[0,0:31]
array([ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 1., 1., 1., 1., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0.])
>>> testVector[0,32:63]
array([ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 1.,
1., 1., 1., 1., 1., 1., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0.])
kNN中添加代码：
def handwritingClassTest():
hwLabels = []
trainingFileList = listdir('trainingDigits') #load the training set
m = len(trainingFileList)
trainingMat = zeros((m,1024))
for i in range(m):
fileNameStr = trainingFileList[i]
fileStr = fileNameStr.split('.')[0] #take off .txt
classNumStr = int(fileStr.split('_')[0])
hwLabels.append(classNumStr)
trainingMat[i,:] = img2vector('trainingDigits/%s' % fileNameStr)
testFileList = listdir('testDigits') #iterate through the test set
errorCount = 0.0
mTest = len(testFileList)
for i in range(mTest):
fileNameStr = testFileList[i]
fileStr = fileNameStr.split('.')[0] #take off .txt
classNumStr = int(fileStr.split('_')[0])
vectorUnderTest = img2vector('testDigits/%s' % fileNameStr)
classifierResult = classify0(vectorUnderTest, trainingMat, hwLabels, 3)
print "the classifier came back with: %d, the real answer is: %d" % (classifierResult, classNumStr)
if (classifierResult != classNumStr): errorCount += 1.0
print "\nthe total number of errors is: %d" % errorCount
print "\nthe total error rate is: %f" % (errorCount/float(mTest))
终端输入：
>>> reload(kNN)
>>> kNN.handwritingClassTest()
the classifier came back with: 4, the real answer is: 4
the classifier came back with: 4, the real answer is: 4
the classifier came back with: 3, the real answer is: 3
...
the classifier came back with: 4, the real answer is: 4
the classifier came back with: 3, the real answer is: 3
the classifier came back with: 3, the real answer is: 3
the total number of errors is: 12
the total error rate is: 0.012685
总结
本章是Peter的《机器学习实战》第二章的kNN算法在终端的具体实现步骤，没有对代码进行注释，希望读者自行结合周志华的《机器学习》和李航的《统计学习方法》进行领悟。