原理 DBSCAN是一种基于密度的聚类算法,这类密度聚类算法一般假定类别可以通过样本分布的紧密程度决定。同一类别的样本,他们之间的紧密相连的,也就是说,在该类别任意样本周围不远处一定有同类别的样本存在。 通过将紧密相连的样本划为一类,这样就得到了一个聚类类别。通过将所有各组紧密相连的样本划为各个不同的类别,则我们就得到了最终的所有聚类类别结果。 一些概念![](https://ask.qcloudimg.com/http-save/yehe-6464930/77h7dw66ya.png) ![](https://ask.qcloudimg.com/http-save/yehe-6464930/9agahbvnkj.png) ![](https://ask.qcloudimg.com/http-save/yehe-6464930/gu0bjtg74f.png) x1是核心对象,x2由x1密度直达,x3由x1密度可达,x3与x4密度相连 伪码 python代码from sklearn import datasets
import numpy as np
import random
import matplotlib.pyplot as plt
import time
import copy
def find_neighbor(j, x, eps):
N = list()
for i in range(x.shape[0]):
temp = np.sqrt(np.sum(np.square(x[j]-x[i]))) # 计算欧式距离
if temp = min_Pts:
omega_list.append(i) # 将样本加入核心对象集合
omega_list = set(omega_list) # 转化为集合便于操作
while len(omega_list) > 0:
gama_old = copy.deepcopy(gama)
j = random.choice(list(omega_list)) # 随机选取一个核心对象
k = k + 1
Q = list()
Q.append(j)
gama.remove(j)
while len(Q) > 0:
q = Q[0]
Q.remove(q)
if len(neighbor_list[q]) >= min_Pts:
delta = neighbor_list[q] & gama
deltalist = list(delta)
for i in range(len(delta)):
Q.append(deltalist[i])
gama = gama - delta
Ck = gama_old - gama
Cklist = list(Ck)
for i in range(len(Ck)):
cluster[Cklist[i]] = k
omega_list = omega_list - Ck
return cluster
X1, y1 = datasets.make_circles(n_samples=2000, factor=.6, noise=.02)
X2, y2 = datasets.make_blobs(n_samples=400, n_features=2, centers=[[1.2, 1.2]], cluster_std=[[.1]], random_state=9)
X = np.concatenate((X1, X2))
eps = 0.08
min_Pts = 10
begin = time.time()
C = DBSCAN(X, eps, min_Pts)
end = time.time()
plt.figure()
plt.scatter(X[:, 0], X[:, 1], c=C)
plt.show()效果![](https://ask.qcloudimg.com/http-save/yehe-6464930/b4qwe12j3v.png) 选用iris鸢尾花数据集更改 from sklearn.datasets import load_iris
X = load_iris().data缺点参数敏感Eps , MinPts ,若选取不当 ,会造成聚类质量下降。
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