kmeans算法用Python怎么实现

2025年03月14日 01:13
有2个网友回答
网友(1):

K-means算法是集简单和经典于一身的基于距离的聚类算法

采用距离作为相似性的评价指标,即认为两个对象的距离越近,其相似度就越大。

该算法认为类簇是由距离靠近的对象组成的,因此把得到紧凑且独立的簇作为最终目标。

核心思想

通过迭代寻找k个类簇的一种划分方案,使得用这k个类簇的均值来代表相应各类样本时所得的总体误差最小。

k个聚类具有以下特点:各聚类本身尽可能的紧凑,而各聚类之间尽可能的分开。

k-means算法的基础是最小误差平方和准则,


各类簇内的样本越相似,其与该类均值间的误差平方越小,对所有类所得到的误差平方求和,即可验证分为k类时,各聚类是否是最优的。

上式的代价函数无法用解析的方法最小化,只能有迭代的方法。

3、算法步骤图解

下图展示了对n个样本点进行K-means聚类的效果,这里k取2。

4、算法实现步骤

k-means算法是将样本聚类成 k个簇(cluster),其中k是用户给定的,其求解过程非常直观简单,具体算法描述如下:

1) 随机选取 k个聚类质心点

2) 重复下面过程直到收敛  {

网友(2):

参考 http://www.cnblogs.com/ahu-lichang/p/7161613.html

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