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https://issues.apache.org/jira/browse/SPARK-24431?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16502794#comment-16502794
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Xinyong Tian commented on SPARK-24431:
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I read more about first point of or curve
https://classeval.wordpress.com/introduction/introduction-to-the-precision-recall-plot/
In the above example, when setting predicted probability for each row as 0.01, 
only one point on pr curve is defined, ie recall=1, precision =0.01.  according 
to the website, first point on the problem curve should be a horizontal line 
from 2nd point (the only point (1,0.01) here), which should be (0,0.01).  In 
this way, the no model 's  areaUnderPR=0.01,  instead of 0.05.

> wrong areaUnderPR calculation in BinaryClassificationEvaluator 
> ---------------------------------------------------------------
>
>                 Key: SPARK-24431
>                 URL: https://issues.apache.org/jira/browse/SPARK-24431
>             Project: Spark
>          Issue Type: Bug
>          Components: ML
>    Affects Versions: 2.2.0
>            Reporter: Xinyong Tian
>            Priority: Major
>
> My problem, I am using CrossValidator(estimator=LogisticRegression(...), ..., 
>  evaluator=BinaryClassificationEvaluator(metricName='areaUnderPR'))  to 
> select best model. when the regParam in logistict regression is very high, no 
> variable will be selected (no model), ie every row 's prediction is same ,eg. 
> equal event rate (baseline frequency). But at this point,  
> BinaryClassificationEvaluator set the areaUnderPR highest. As a result  best 
> model seleted is a no model. 
> the reason is following.  at time of no model, precision recall curve will be 
> only two points: at recall =0, precision should be set to  zero , while the 
> software set it to 1. at recall=1, precision is the event rate. As a result, 
> the areaUnderPR will be close 0.5 (my even rate is very low), which is 
> maximum .
> the solution is to set precision =0 when recall =0.



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