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https://issues.apache.org/jira/browse/ARROW-6394?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
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ASF GitHub Bot updated ARROW-6394:
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    Labels: pull-request-available  (was: )

> [Java] Support conversions between delta vector and partial sum vector
> ----------------------------------------------------------------------
>
>                 Key: ARROW-6394
>                 URL: https://issues.apache.org/jira/browse/ARROW-6394
>             Project: Apache Arrow
>          Issue Type: New Feature
>          Components: Java
>            Reporter: Liya Fan
>            Assignee: Liya Fan
>            Priority: Major
>              Labels: pull-request-available
>
> What is a delta vector/partial sum vector?
> Given an integer vector a with length n, its partial sum vector is another 
> integer vector b with length n + 1, with values defined as:
> b(0) = initial sum
> b(i ) = a(0) + a(1) + ... + a(i - 1) i = 1, 2, ..., n
> Given an integer vector with length n + 1, its delta vector is another 
> integer vector b with length n, with values defined as:
> b(i ) = a(i ) - a(i - 1), i = 0, 1, ... , n -1
> In this issue, we provide utilities to convert between vector and partial sum 
> vector. It is interesting to note that the two operations corresponding to 
> the discrete integration and differentian.
> These conversions have wide applications. For example,
> 1. The run-length vector proposed by Micah is based on the partial sum 
> vector, while the deduplication functionality is based on delta vector. This 
> issue provides conversions between them.
> 2. The current VarCharVector/VarBinaryVector implementations are based on 
> partial sum vector. We can transform them to delta vectors before IPC, to 
> reduce network traffic.
> 3. Converting to delta can be considered as a way for data compression. To 
> further reduce the data volume, the operation can be applied more than once, 
> to further reduce data volume.



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