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https://issues.apache.org/jira/browse/LUCENE-5688?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=14004562#comment-14004562
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Adrien Grand commented on LUCENE-5688:
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+1 to using binary search on an in-memory {{MonotonicBlockPackedReader}} to 
implement sparse doc values. 

> NumericDocValues fields with sparse data can be compressed better 
> ------------------------------------------------------------------
>
>                 Key: LUCENE-5688
>                 URL: https://issues.apache.org/jira/browse/LUCENE-5688
>             Project: Lucene - Core
>          Issue Type: Improvement
>            Reporter: Varun Thacker
>            Priority: Minor
>         Attachments: LUCENE-5688.patch
>
>
> I ran into this problem where I had a dynamic field in Solr and indexed data 
> into lots of fields. For each field only a few documents had actual values 
> and the remaining documents the default value ( 0 ) got indexed. Now when I 
> merge segments, the index size jumps up.
> For example I have 10 segments - Each with 1 DV field. When I merge segments 
> into 1 that segment will contain all 10 DV fields with lots if 0s. 
> This was the motivation behind trying to come up with a compression for a use 
> case like this.



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