How to estimate K for K-means clustring

I'm working on unsupervised classification or clustering, i want to estimate the K (which refers to cluster number) before starting th k-means algorithm

 Accepted Answer

You will probably not find any code already implemented for this purpose.
The theoretical answer for the "best" number of clusters to use is "one cluster for every unique point", as that will always have the best possible fit.
If you do not wish to use one cluster for every unique point, you need to have some kind of penalty term that favors fewer clusters. I read through the theory paper on that a few years ago, and it was clear to me that they were setting the weights arbitrarily (but usefully for the kinds of clustering they were doing), and that there was no way to calculate what the weights should be without some knowledge of the range of number of clusters that would be appropriate for the physical system being examined. The theoretical algorithms were not suitable for "unsupervised learning", only for "supervised learning". The work we were doing at the time required unsupervised learning, so there was no way for us to determine what the proper number of clusters should be.

More Answers (3)

This is not really a MATLAB question, but rather a general data science question.
Googling "how to choose k in k means" found this Wikipedia page on the topic (and many others) that might help you.

4 Comments

there are several methods i want to find the implemented ones, i don't have enough time to spend on this implementation
the cyclist
the cyclist on 15 May 2016
Edited: the cyclist on 15 May 2016
I don't know of any methods in MATLAB to help you choose K, other than plotting results post hoc to see how different choices of K did. See, for example, this page.
There are MATLAB functions for estimating the best k. I don't remember what they were - I'd have to look them up in the Machine Learning course notes.
I'm waiting for your answer

Sign in to comment.

The web page on kmeans explains how you can use silhouette() to determine the best number of clusters, k:

3 Comments

still looking and waiting for an answer !!
Did you read through the link that Image Analyst posted?
Which is also the same link that I pointed you to earlier. So, uh, now you have 3 of the top 10 contributors to this forum telling you consistently the same thing.

Sign in to comment.

old question, but I just found a way myself looking at matlab documentation:
klist=2:n;%the number of clusters you want to try
myfunc = @(X,K)(kmeans(X, K));
eva = evalclusters(net.IW{1},myfunc,'CalinskiHarabasz','klist',klist)
classes=kmeans(net.IW{1},eva.OptimalK);

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!