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https://issues.apache.org/jira/browse/MATH-1516?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17054157#comment-17054157
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Chen Tao edited comment on MATH-1516 at 3/7/20, 5:23 PM:
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There are many clusters evaluation algorithm:
[scikit-learn
clustering-performance-evaluation|https://scikit-learn.org/stable/modules/clustering.html#clustering-performance-evaluation]
They can be divided into 2 categories: “External Measures” and "Internal
Measures".
The function signatureis can be decided by the category the evaluation
algorithm belong to.
Althought the score is the higher the better for most of these evaluation
algorithm, but there is a special case:
[Davies-Bouldin
Index|https://scikit-learn.org/stable/modules/clustering.html#davies-bouldin-index]
There also some simplified evaluators like SumOfClusterVariances, the score is
the lower the better.
If there is a training application program, replaceable evaluator is necessary,
the evaluator algorithm has the responsibility to isolate the rank rule. This
should be considered in the design.
was (Author: chentao106):
There are many clusters evaluation algorithm:
[scikit-learn
clustering-performance-evaluation|https://scikit-learn.org/stable/modules/clustering.html#clustering-performance-evaluation]
They can be divided into 2 categories: “External Measures” and "Internal
Measures".
The function signatureis can be decided by the category the evaluation
algorithm belong to.
Althought the score is the higher the better for most of these evaluation
algorithm, but there is a special case:
[Davies-Bouldin
Index|https://scikit-learn.org/stable/modules/clustering.html#davies-bouldin-index]
There also some simplified evaluation like SumOfClusterVariances, the score is
the lower the better.
If there is a training application program, replaceable evaluator is necessary,
the evaluator algorithm has the responsibility to isolate the rank rule. This
should be considered in the design.
> Define an interface for ranking a list of clusters
> --------------------------------------------------
>
> Key: MATH-1516
> URL: https://issues.apache.org/jira/browse/MATH-1516
> Project: Commons Math
> Issue Type: Sub-task
> Reporter: Gilles Sadowski
> Assignee: Gilles Sadowski
> Priority: Minor
> Fix For: 4.0
>
>
> [On the "dev" ML|https://markmail.org/message/z4qr3fcsg5emt2nn] it has been
> suggested to create a functional interface for unequivocally defining the
> quality of a clustering:
> * a valid ranking must be positive,
> * better clustering is conveyed through higher ranking.
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