单连锁簇上曼哈顿与欧几里德距离的差异? [英] difference between manhattan and euclidean distance on single linkage cluster ?

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问题描述

曼哈顿与欧几里德距离计算在单个连锁簇上有什么区别?哪一个更好?我编写了一个单链接聚类程序并使用了两种距离计算,我只是看到当我想通过停止迭代来划分像5个聚类或6个聚类的聚类时,我看到聚类在相同的迭代中有不同的成员。

像这样:

为euclid

.....İTERATİON.....:39



集群0



1 7 19 33 46 47 20 27



集群1



2 8 28 34 44 17 31 5 25



群集2



3 11 12 37 39 29 42 15



群集3



4 6 14 32 41 30



集群8



9 16 35 43



Cluster 9



10 21 36



群集12



13 26 40 18 22 45 24 38



群集22

< br $> b $ b $



和曼哈顿:

.....İTERATİON.....:39



群集0



1 7 20 33 47 46 19 27



群集1



2 8 28 34 44 17 31 5 25



集群2



3 11 12 37 39 29 42 15



集群3



4 6 14 32 41 30



群集8



9 16 35 43



群集9 < br $>


10 21 36



集群12



13 26 40 18 22 45 24 38



群集22



23

what is the difference between manhattan and euclidean distances calculations on single linkage cluster ?? which one is preferable ? i wrote a program for single linkage clustering and used both distances calculations ,, i just see that when i want to divide clusters like 5 clusters or 6 clusters by stopping iterations ,, i seen clusters has different members at the same iterations.
like this :
for euclid
.....İTERATİON ..... :39

Cluster 0

1 7 19 33 46 47 20 27

Cluster 1

2 8 28 34 44 17 31 5 25

Cluster 2

3 11 12 37 39 29 42 15

Cluster 3

4 6 14 32 41 30

Cluster 8

9 16 35 43

Cluster 9

10 21 36

Cluster 12

13 26 40 18 22 45 24 38

Cluster 22

23

and for manhattan :
.....İTERATİON ..... :39

Cluster 0

1 7 20 33 47 46 19 27

Cluster 1

2 8 28 34 44 17 31 5 25

Cluster 2

3 11 12 37 39 29 42 15

Cluster 3

4 6 14 32 41 30

Cluster 8

9 16 35 43

Cluster 9

10 21 36

Cluster 12

13 26 40 18 22 45 24 38

Cluster 22

23

推荐答案

关于差异的问题是如此不正确!你能告诉我们苹果与苹果的区别吗? :-)



你只需要学习你想要比较的两个科目。请参阅:

http://en.wikipedia.org/wiki/Cluster_analysis [< a href =http://en.wikipedia.org/wiki/Cluster_analysistarget =_ blanktitle =New Window> ^ ],

http://en.wikipedia.org/wiki/Manhattan_distance [ ^ ]。



供参考:

< a href =http://en.wikipedia.org/wiki/Distance_function> http://en.wikipedia.org/wiki/Distance_function [ ^ ],

http://en.wikipedia.org/wiki/Euclidean_metric [ ^ ],

http ://en.wikipedia.org/wiki/Euclidean_geometry [ ^ ]。



如果您仍然认为可以比较一切,请熟悉这一点:

http://en.wikipedia.org/wiki/Partially_ordered_set [ ^ ],

http: //en.wikipedia.org/wiki/Lattice_theory [ ^ ]。



对于软件开发人员来说,这是非常有用的阅读。



-SA
The questions on "difference" are so incorrect! Can you tell us the difference between apple and Apple? :-)

You just need to learn both subjects you are trying to "compare". Please see:
http://en.wikipedia.org/wiki/Cluster_analysis[^],
http://en.wikipedia.org/wiki/Manhattan_distance[^].

And for reference:
http://en.wikipedia.org/wiki/Distance_function[^],
http://en.wikipedia.org/wiki/Euclidean_metric[^],
http://en.wikipedia.org/wiki/Euclidean_geometry[^].

If you still think that everything could be compared, get familiar with this:
http://en.wikipedia.org/wiki/Partially_ordered_set[^],
http://en.wikipedia.org/wiki/Lattice_theory[^].

For a software developer, this is very useful reading.

—SA


这就是为什么我问它,哪一个更合适?
that''s why i asked it ,, which one is more preferable ?


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