import numpy as np
import sklearn.datasets #加载原数据
import matplotlib.pyplot as plt
import random #点到各点距离
def PointToData(point,dataset):
a = np.multiply(dataset - point,dataset - point)
# print('a',a)
distence = np.sqrt(a[:,0]+a[:,1])
return distence #选择初始的k个中心簇
def startpoint(k,dataset):
m, n = np.shape(dataset)
index1 = random.randint(0,len(dataset) - 1)
A = [] # 初始的k个中心簇
A_dit = [] # 初始所有点到中心簇的距离
A.append(dataset[index1])
sum_dis = np.zeros((m, 1))
flag_mat = np.ones((m,1))
flag_mat[index1] = 0
for i in range(0, k - 1):
A_dit.append((PointToData(A[i], dataset)).reshape(-1,1) )
# print('A_dit[{}]:{}'.format(i,A_dit[i]))
sum_dis =(sum_dis + A_dit[i]) * flag_mat
# print('sum_dis[{}]:{}'.format(i,sum_dis))
Index = np.argmax(sum_dis)
flag_mat[Index] = 0
# print('选的Index:',Index)
A.append(dataset[Index])
return A #加载数据
Data = sklearn.datasets.load_iris()
dataset = Data.data[:,0:2] # #小数据测试编码
# test = dataset[0:15,:]
# testm,testn = np.shape(test)
# print(test) #测试k
# k = 4
#初始点测试函数
# Apoint = startpoint(k,test)
# print('Apoint',Apoint)
#距离函数测试
# d = PointToData(test[0,:],test)
# print('d,d+d:',d,d+d) def classfy(dataset,Apoint):
m,n = np.shape(dataset)
dis_li = []
num = 0
for point in Apoint:
distence = PointToData(point,dataset)
dis_li.append(distence)
if num == 0:
dis_li_mat = dis_li[num]
else:
dis_li_mat = np.column_stack((dis_li_mat,dis_li[num]))
num += 1
result = np.argmin(dis_li_mat,axis=1)
# print('dis_li:',dis_li)
# print('dis_li_mat:\n', dis_li_mat)
# print('classfy:',result)
return result
# label2 = classfy(test,Apoint)
# print('label2:',label2) #求分类的新中心
def Center(dataset,label,k):
i = 0
newpoint = []
for index in range(k):
flag = (label==index)
# print('flag,i:',flag,i)
num = sum(flag)
# print('num:',num,index)
a = flag.reshape(-1,1) * dataset
newpoint.append(np.sum(a,axis = 0)/num)
i += 1
# print(newpoint)
return newpoint
# testcenter = center(test,label2,k)
# print('testcenter:',testcenter) #K-means主体函数
def myK(k,dataset):
Startpoint = startpoint(k,dataset)
m,n = np.shape(Startpoint)
centerpoint = Startpoint
labelset = classfy(dataset,Startpoint)
newcenter = Center(dataset,labelset,k)
# print('外:cecnterpoint', centerpoint)
# print('外:newcenter', newcenter)
flag = 0
for i in range(k):
for j in range(n):
if centerpoint[i][j] != newcenter[i][j]:
flag = 1
while flag:
print('循环')
# print('里:cecnterpoint', centerpoint)
# print('里:newcenter', newcenter)
flag = 0
for i in range(k):
for j in range(n):
if centerpoint[i][j] != newcenter[i][j]:
flag = 1
# print('flag:',flag)
centerpoint = newcenter[:]
labelset = classfy(dataset,centerpoint)
newcenter = Center(dataset, labelset, k)
# print('final_resultlabel:',labelset)
# print('cenerpoint:', centerpoint)
return labelset,centerpoint #测试
k=5
final_label,centerpoint = myK(k,dataset)
print('centerpoint:',centerpoint)
mat_center = np.mat(centerpoint) #画图
# plt.scatter(test[:,0],test[:,1],40,10*(labelset+1))
plt.scatter(dataset[:, 0], dataset[:, 1],40,10*(final_label+1))
plt.show()