ClusterEvaluator inter-cluster density returns NaN
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                 Key: MAHOUT-513
                 URL: https://issues.apache.org/jira/browse/MAHOUT-513
             Project: Mahout
          Issue Type: Bug
          Components: Clustering
    Affects Versions: 0.3
            Reporter: Jeff Eastman
            Assignee: Jeff Eastman
             Fix For: 0.4


Hi Jeff,

I've been trying out the ClusterEvaluator class today since your recent 
changes, and I'm running into a problem whereby the average intra-cluster 
density can be set to NaN. Looking into it, it seems to happen for clusters 
containing points which are very close to the centroid.  For example, I have a 
cluster with:

Centroid:

{0:0.6075199543688895,1:-0.3165058387409551,2:0.2027106147825682,3:-21.246338574215706,4:-5.875047828899212,5:-0.9835694086952028,6:0.2794019939470805,7:-0.36402079609289717,8:0.5201946127074457,9:-0.47084217746293855,10:-0.14380397719670499,11:-0.10441028152861193,12:0.0698485086335405,13:0.014286758874801297}

and one of the representative points (3 per cluster):

[0.6075199543688894, -0.31650583874095506, 0.2027106147825682, 
-21.2463385742157, -5.875047828899212, -0.9835694086952026, 
0.27940199394708054, -0.36402079609289706, 0.5201946127074457, 
-0.47084217746293855, -0.14380397719670499, -0.10441028152861194, 
0.06984850863354047, 0.014286758874801297]

As far as I can tell from debugging, the representative points look identical 
to the centroid of this cluster, but I'm assuming there's some small difference 
as "if (!vector.equals(clusterI.getCenter()))" in 
ClusterEvaluator.invalidCluster() is always returning false for these points, 
and so the cluster isn't pruned from the list.

Later on, in ClusterEvaluator.intraClusterDensity(), the "min" and "max" 
distances are ending up with the same value, and the density from "double 
density = (sum / count - min) / (max - min);" is calculated as NaN, e.g. here 
are the values I'm getting:

min = max = 1.5397509610616733E-7
count = 3
sum = 4.61925288318502E-7
max - min: 0.0
count - min: 2.9999998460249038
(sum / count - min) = 0.0

This then causes avgDensity to be calculated as NaN. I'm not sure what the 
solution is here, should invalidCluster() check that the the difference between 
the centroid and the candidate representative point is greater than a certain 
threshold, which would cause such a cluster to be pruned? Or is the fix in the 
intraClusterDensity() calculation to handle the case where min = max?

BTW would you prefer that I create a Jira to record these issues, or is it okay 
to send them to the dev list as I've been doing?

Thanks,

Derek



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