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K-means算法简单示范

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K-means算法简单示范

代码段:

import numpy as np
import matplotlib.pyplot as plt

max_iter = 200

# 获取数据
fp = open("exercise.txt")
data = []
for word in fp.readlines():
    word = word.strip('n').split('    ')
    digit = list(map(float, word))
    data.append(digit)
data = np.array(data)
x = data[:, 0]
y = data[:, 1]

# 初始化聚类质心
k = 4
center = np.zeros((k, 2), dtype=float)
for i in range(k):
    center[i, 0] = x[i]
    center[i, 1] = y[i]
n = len(x)
dis = np.zeros((n, k + 1), dtype=float)

for j in range(max_iter):
    # 获取距离,并得到聚类结果,用dis[:4]中储存分类结果,下标表示
    for i in range(n):
        dis[i, 0] = np.sqrt((x[i] - center[0, 0]) ** 2 + (y[i] - center[0, 1]) ** 2)
        dis[i, 1] = np.sqrt((x[i] - center[1, 0]) ** 2 + (y[i] - center[1, 1]) ** 2)
        dis[i, 2] = np.sqrt((x[i] - center[2, 0]) ** 2 + (y[i] - center[2, 1]) ** 2)
        dis[i, 3] = np.sqrt((x[i] - center[3, 0]) ** 2 + (y[i] - center[3, 1]) ** 2)
        dis[i, 4] = np.argmin(dis[i, :4])

    index1 = dis[:, 4] == 0
    index2 = dis[:, 4] == 1
    index3 = dis[:, 4] == 2
    index4 = dis[:, 4] == 3
    center1_new = np.array([x[index1].mean(), y[index1].mean()])
    center2_new = np.array([x[index2].mean(), y[index2].mean()])
    center3_new = np.array([x[index3].mean(), y[index3].mean()])
    center4_new = np.array([x[index4].mean(), y[index4].mean()])

    center[0, :] = center1_new
    center[1, :] = center2_new
    center[2, :] = center3_new
    center[3, :] = center4_new

index1 = dis[:, 4] == 0
index2 = dis[:, 4] == 1
index3 = dis[:, 4] == 2
index4 = dis[:, 4] == 3

plt.scatter(x[index1], y[index1], color='r')
plt.scatter(x[index2], y[index2], color='b')
plt.scatter(x[index3], y[index3], color='g')
plt.scatter(x[index4], y[index4], color='y')

plt.show()

效果:

 

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