Decision on number of clusters in Data Mining - cluster-analysis

When ever we want to cluster some data then It is required to give the number of cluster by user. Like K-Means algorithm we need to specify that how cluster are required.
My question is it possible that the algorithm decides itself that how cluster are feasible for particular data set.

There are several clustering algorithms that do not require a desired number of clusters as an input to the algorithm. An example of such an algorithm is the mean-shift clustering algorithm. However, you will need to specify a kernel as an input to the algorithm. This kernel selection (e.g., the size and shape of the kernel) will impact the number of clusters that you get as an output.
Some more information:
http://homepages.inf.ed.ac.uk/rbf/CVonline/LOCAL_COPIES/TUZEL1/MeanShift.pdf
http://scikit-learn.org/stable/auto_examples/cluster/plot_mean_shift.html

I'm not expert with that, but to answer to your question, yes there are methods to determine automatically the number of cluster for a kmeans for example.
It's quite complicated but given a dataset and a cluster method you can compute what is called gap statistic in order to estime the number of clusters.
If you are a R user, try to check clusGap and maxSE functions.

Related

Matlab cluster data into Disconnected Subsets

I am trying to extract a fixed (and known) number of clusters from a set of points using Matlab.
An immediate clustering method that I tried is the k-means algorithm which seems to tick all the boxes.
Unfortunately, in some cases, the subsets (or clusters) extracted are intertwined, as shown in the image below for the left-most cluster:
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Is there a way to set the k-means algorithm, so that the generated clusters are disconnected?
Is there a way to post-process the cluster indices returned by the k-means algorithm, so as to obtain "disconnected" clusters?
Alternatively, is there another clustering method that might be more suitable?
Thanks!

How to decide the numbers of clusters based on a distance threshold between clusters for agglomerative clustering with sklearn?

With sklearn.cluster.AgglomerativeClustering from sklearn I need to specify the number of resulting clusters in advance. What I would like to do instead is to merge clusters until a certain maximum distance between clusters is reached and then stop the clustering process.
Accordingly, the number of clusters might vary depending on the structure of the data. I also do not care about the number of resulting clusters nor the size of the clusters but only that the cluster centroids do not exceed a certain distance.
How can I achieve this?
This pull request for a distance_threshold parameter in scikit-learn's agglomerative clustering may be of interest:
https://github.com/scikit-learn/scikit-learn/pull/9069
It looks like it'll be merged in version 0.22.
EDIT: See my answer to my own question for an example of implementing single linkage clustering with a distance based stopping criterion using scipy.
Use scipy directly instead of sklearn. IMHO, it is much better.
Hierarchical clustering is a three step process:
Compute the dendrogram
Visualize and analyze
Extract branches
But that doesn't fit the supervised-learning-oriented API preference of sklearn, which would like everything to implement a fit, predict API...
SciPy has a function for you:
https://docs.scipy.org/doc/scipy/reference/generated/scipy.cluster.hierarchy.fcluster.html#scipy.cluster.hierarchy.fcluster

Partitioning densed data points using clustering

I have to cluster data which are power profiles of the solar panel output. I tried various algorithm including classical K-means to shape based clustering as well. I have to decide number of cluster possible in the pool of data. And I am always getting 2 cluster, so I think they are very dense.
Is there any way I can partition dense cluster?

Cluster assignment remapping

I have test classification datasets from UCI Machine Learning repository which are labelled.
I am stripping of the labels and using the data to benchmark a few clustering algorithm and then I am planning to use external validation methods. I will run the algorithm with different initial configurations, for say, 50 times and then take the mean value. For 50 iterations the algorithm labels the data points of one single cluster with different numbers. Because in each run the cluster labels can change, also because each iteration might have slightly different cluster assignments, how to somehow remap each of the clusters to one uniform numbering.
Primary idea is to remap by checking how many of the points in the class labels intersect the maximum in the actual labels and then making a remap based on that, but this can get incorrect remappings because when the classes will have more or less equal number of points, this will not work.
Another idea is to keep the labels while clustering, but make the clustering algorithm ignore it. This way all the cluster data will have the label tags. This is doable but I have already have a benchmarked cluster assignment data to be processed therefore I am trying to avoid modifying and re-benchmarking my implementation (which will take quite some time and cpu) of the cluster analysis algorithms and include the label tag to the vectors and then ignore it.
Is there any way that I can compute average accuracy from the cluster assignments I have right now?
EDIT:
The domain in which I am studying (metaheuristic clustering algorithms) I could not find a paper comparing these indexes. The paper which compares seems to be incorrect in their values. Can anyone point me to a paper where clustering results are compared using any of these indexes?
What do you do when the number of clusters doesn't agree?
Do not try to map clusters.
Instead, use the proper external validation measures for clustering, which do not require a 1:1 correspondence of clusters. There are plenty, for details see Wikipedia.

Determine Cluster Label in K-means

I have dataset that is contain 150 data that is actually divided into 3 group. Each group has it’s own label.
I do clustering process with K-means algorithm to group the data.
I need to assign the label of each group that is created by K-means process. So I could compare the result of K-means with the data training.
Anybody could help to explain how to determine the label of each group?
Read up on cluster evaluation in Wikipedia.
No clustering algorithm will assign a label such as iris_setosa to the cluster, unless you provide the labels to the clustering algorithm somehow (but then it is no longer clustering, actually, but classification).
So you will only have first_cluster, second_cluster, third_cluster type of labels.
There are various measures proposed to compare the structure of the clusters in comparison to the original data set. But usually there will not be a 1:1 correspondence to the original labels.