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https://issues.apache.org/jira/browse/SPARK-9075?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=14631931#comment-14631931
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Joseph K. Bradley commented on SPARK-9075:
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I agree there are ways to deal with very high-arity categories, but I think 
dealing with it is lower priority than some other improvements (such as 
providing predicted class probabilities) which we're working on.  In general, 
one should throw out that high-arity categorical feature, if you have so few 
examples.

It's true the check does not ensure all values are covered; that would be good 
to refine in the future.

It sounds like we're discussing 3 possibilities, 2 short-term and 1 long-term:
* Run without exceptions no matter what is given.
** Short-term: Run as is.  This could mean giving meaningless results.
** Long-term: We should implement a better way to handle many categories.
* Short-term: Throw exception and notify user of the problem.  I prefer this 
for now, until we can do the long-term solution.

> DecisionTreeMetadata - setting maxPossibleBins to numExamples is incorrect. 
> ----------------------------------------------------------------------------
>
>                 Key: SPARK-9075
>                 URL: https://issues.apache.org/jira/browse/SPARK-9075
>             Project: Spark
>          Issue Type: Bug
>          Components: MLlib
>    Affects Versions: 1.4.0
>            Reporter: Les Selecky
>            Priority: Minor
>
> In 
> https://github.com/apache/spark/blob/master/mllib/src/main/scala/org/apache/spark/mllib/tree/impl/DecisionTreeMetadata.scala
>  there's a statement that sets maxPossibileBins to numExamples when 
> numExamples is less than strategy.maxBins. 
> This can cause an error when training small partitions; the error is 
> triggered further down in the logic where it's required that 
> maxCategoriesPerFeature be less than or equal to maxPossibleBins.
> Here's the an example of how it was manifested: the partition contained 49 
> rows (i.e., numExamples=49 but strategy.maxBins was 57.
> The maxPossibleBins = math.min(strategy.maxBins, numExamples) logic therefore 
> reduced maxPossibleBins to 49 causing the "require(maxCategoriesPerFeature <= 
> maxPossibleBins" to throw an error.
> In short, this will be a problem when training small datasets with a feature 
> that contains more categories than numExamples.
> In our local testing we commented out the "math.min(strategy.maxBins, 
> numExamples)" line and the decision tree succeeded where it had failed 
> previously.



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