降维PCA技术

降维技术使得数据变得更易使用,并且它们往往能够去除数据中的噪声,使得机器学习任务往往更加精确。

降维往往作为预处理步骤,在数据应用到其它算法之前清洗数据。有很多技术可以用于数据降维,在这些技术中,独立成分分析(Independent Component Analysis, ICA)、因子分析(Factor Analysis)、主成分分析(Principal Component Analysis, PCA)比较流行,其中又以主成分分析应用最广泛。

PCA可以从数据中识别其主要特征,它是通过沿着数据最大方差方向旋转坐标轴来实现的。选择方差最大的方向作为第一条坐标轴,后续坐标轴与前面的坐标轴正交。

协方差矩阵上的特征值分析可以用一系列的正交坐标轴来获取。

降维的优点

1 使得数据集更易使用

2 降低很多算法的计算开销

3 去除噪声

4 使得结果易懂

缺点

1 不一定需要,且有可能损失有用信息

注意:PCA技术适用于数值型数据,不适用与名义数据

假设有如下数据需要进行预处理,数据集合约1000行。

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PCA算法的伪代码大致如下:

1 去除平均值

2 计算协方差矩阵

3 计算协方差矩阵的特征值和特征向量

4 将特征值从大到小排序

5 保留最上面的N个特征向量

6 将数据装换到上述N个特征向量构建新的特征空间中

本文通过PCA算法对数据降维处理,主要代码如下

 from numpy import *

 def loadDataSet(filename, delim = '\t'):
fr = open(filename)
stringArr = [line.strip().split(delim) for line in fr.readlines()]
datArr = [map(float, line) for line in stringArr]
return mat(datArr) def pca(dataMat, topNfeat=9999999): meanVals = mean(dataMat, axis=0)
meanRemoved = dataMat-meanVals
covMat = cov(meanRemoved, rowvar = 0)
eigVals, eigVects = linalg.eig(mat(covMat))
eigValInd = argsort(eigVals)
eigValInd = eigValInd[:-(topNfeat+1):-1]
redEigVects = eigVects[:, eigValInd]
lowDDataMat = meanRemoved * redEigVects
reconMat = (lowDDataMat * redEigVects.T) + meanVals return lowDDataMat, reconMat

pca

以列为对象,画出原始数据的散点图

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" 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主成分分析后的叠加图像

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" alt="" />

画图Python代码

import pca
reload(pca)
dataMat = pca.loadDataSet('testSet.txt') lowDmat, reconMat = pca.pca(dataMat, 1)
import matplotlib
import matplotlib.pyplot as plt
fig = plt.figure()
ax = fig.add_subplot(111)
ax.scatter(dataMat[:, 0].flatten().A[0], dataMat[:, 1].flatten().A[0],
marker = '^', s = 90) ax.scatter(reconMat[:, 0].flatten().A[0], reconMat[:, 1].flatten().A[0],
marker = 'o', s = 50, c = 'red')

展示的图片

随机生成数据,观察降维效果

from numpy import *
import matplotlib
import matplotlib.pyplot as plt
import pca n = 1000 #number of points to create
xcord0 = []; ycord0 = []
xcord1 = []; ycord1 = []
xcord2 = []; ycord2 = []
markers =[]
colors =[]
fw = open('testSet3.txt','w')
for i in range(n):
groupNum = int(3*random.uniform())
[r0,r1] = random.standard_normal(2)
if groupNum == 0:
x = r0 + 16.0
y = 1.0*r1 + x
xcord0.append(x)
ycord0.append(y)
elif groupNum == 1:
x = r0 + 8.0
y = 1.0*r1 + x
xcord1.append(x)
ycord1.append(y)
elif groupNum == 2:
x = r0 + 0.0
y = 1.0*r1 + x
xcord2.append(x)
ycord2.append(y)
fw.write("%f\t%f\t%d\n" % (x, y, groupNum)) fw.close()
fig = plt.figure()
ax = fig.add_subplot(211)
ax.scatter(xcord0,ycord0, marker='^', s=90)
ax.scatter(xcord1,ycord1, marker='o', s=50, c='red')
ax.scatter(xcord2,ycord2, marker='v', s=50, c='yellow')
ax = fig.add_subplot(212)
myDat = pca.loadDataSet('testSet3.txt')
lowDDat,reconDat = pca.pca(myDat[:,0:2],1)
label0Mat = lowDDat[nonzero(myDat[:,2]==0)[0],:2][0] #get the items with label 0
label1Mat = lowDDat[nonzero(myDat[:,2]==1)[0],:2][0] #get the items with label 1
label2Mat = lowDDat[nonzero(myDat[:,2]==2)[0],:2][0] #get the items with label 2
#ax.scatter(label0Mat[:,0],label0Mat[:,1], marker='^', s=90)
#ax.scatter(label1Mat[:,0],label1Mat[:,1], marker='o', s=50, c='red')
#ax.scatter(label2Mat[:,0],label2Mat[:,1], marker='v', s=50, c='yellow')
ax.scatter(label0Mat[:,0],zeros(shape(label0Mat)[0]), marker='^', s=90)
ax.scatter(label1Mat[:,0],zeros(shape(label1Mat)[0]), marker='o', s=50, c='red')
ax.scatter(label2Mat[:,0],zeros(shape(label2Mat)[0]), marker='v', s=50, c='yellow')
plt.show()

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" alt="" />

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