[Bioc-devel] Merging GInteraction/GenomicInteractions ranges

Luke Klein |k|e|001 @end|ng |rom ucr@edu
Tue Feb 19 18:14:32 CET 2019


Thank you for the tip, Aaron!  I’m working on the sorting step right now.

One thing I’m not clear on is how to expand the ranges from one step to the next.  The way GenomicInteractions are structured, there is a Granges object with all possible ranges, and the GInteractions object is populated by reference to said interactions.

What I am going to need is a new GRanges object with the new set of (expanded) ranges, and a way to map the prior ranges to the new, wider range.

For your edification, I’ve included the images in this email (which is addressed directly to you) so that you can see what I’d written in my first question.

Best,

— Luke Klein
    PhD Student
    Department of Statistics
    University of California, Riverside
    lklei001 using ucr.edu







> On Feb 13, 2019, at 3:34 AM, Aaron Lun <infinite.monkeys.with.keyboards using gmail.com> wrote:
> 
> Note that your visual won't show up for many (all?) of us. Nonetheless,
> I think I know what you want to do.
> 
> Your task does not lend itself to vectorization, which makes it
> difficult to write efficient R code. It's not impossible, but it would
> be quite hard to read and debug, and your maintenance programmer will
> be cursing you somewhere down the line.
> 
> If speed is truly a concern, I would write this code in C++. This would
> probably be several lines' worth of code:
> 
> 1. Compute a pair of bin IDs for each interaction by dividing each
> anchor coordinate by the bin width and truncating the result. (You'll
> need to decide if you want to use the midpoint/start/end, etc.)
> 2. Sort the interactions by the paired bin IDs, e.g., with std::sort.
> 3. Identify each "run" of interactions with the same paired IDs.
> 4. Repeat step 1 within each run (you'll need to offset the anchor
> coordinate before dividing this time). Append the current quadrant to
> the quadrant sequence for return to R at the end of recursion.
> 
> Clear, concise, and can be slapped together in less than half an hour
> with Rcpp and C++11, if you know what you're doing.
> 
> -A
> 
> On Tue, 2019-02-12 at 11:34 -0800, Luke Klein wrote:
>> Hello.  I am planning to develop a new package which extends the
>> GenomicInteractions package.  I would like some help/advice on
>> implementing the following functionality.
>> 
>> Consider the follow GenomicInteractions object
>> 
>> GenomicInteractions object with 10 interactions and 1 metadata
>> column:
>>        seqnames1   ranges1     seqnames2   ranges2 |    counts
>>            <Rle> <IRanges>         <Rle> <IRanges> | <integer>
>>    [1]      chrA       1-2 ---      chrA      9-10 |         1
>>    [2]      chrA       1-2 ---      chrA     15-16 |         1
>>    [3]      chrA       3-4 ---      chrA       3-4 |         1
>>    [4]      chrA       5-6 ---      chrA       7-8 |         1
>>    [5]      chrA       5-6 ---      chrA      9-10 |         1
>>    [6]      chrA       7-8 ---      chrA       7-8 |         1
>>    [7]      chrA       7-8 ---      chrA     11-12 |         1
>>    [8]      chrA       7-8 ---      chrA     17-18 |         1
>>    [9]      chrA      9-10 ---      chrA      9-10 |         1
>>   [10]      chrA      9-10 ---      chrA     15-16 |         1
>>   -------
>>   regions: 8 ranges and 0 metadata columns
>>   seqinfo: 1 sequence from an unspecified genome; no seqlengths
>> 
>> 
>> Which is visually represented thusly
>> 
>> 
>> 
>> I would like to do the following:
>> 
>> 1) I want to group the regions into bins of WxW (in this case, W will
>> be 3), as in a quad-tree structure <https://en.wikipedia.org/wiki/Qua <https://en.wikipedia.org/wiki/Qua>
>> dtree> with the final group being WxW (instead of 2x2).  This will
>> involve 
>> 	- iteratively dividing the matrix into quadrants {upper-left
>> (0), upper-right (1), lower-left (2), lower-right(3)} .
>> 	- labeling each subdivision in a new column until the final WxW
>> resolution is reached.
>> 	- sorting by the columns
>> 
>> 
>> 
>> 
>> GenomicInteractions object with 10 interactions and 1 metadata
>> column:
>>        seqnames1   ranges1     seqnames2   ranges2
>> |    counts     quad1     quad2
>>            <Rle> <IRanges>         <Rle> <IRanges> | <integer>
>> <integer> <integer>
>>    [1]      chrA       1-2 ---      chrA      9-10 |         1	
>>        0	 1
>>    [2]      chrA       1-2 ---      chrA     15-16 |         1	
>>        1	 0
>>    [3]      chrA       3-4 ---      chrA       3-4 |         1	
>>        0	 0
>>    [4]      chrA       5-6 ---      chrA       7-8 |         1	
>>        0	 1
>>    [5]      chrA       5-6 ---      chrA      9-10 |         1	
>>        0	 1
>>    [6]      chrA       7-8 ---      chrA       7-8 |         1	
>>        0	 3	 
>>    [7]      chrA       7-8 ---      chrA     11-12 |         1	
>>        0	 3
>>    [8]      chrA       7-8 ---      chrA     17-18 |         1	
>>        1	 2
>>    [9]      chrA      9-10 ---      chrA      9-10 |         1	
>>        0	 3
>>   [10]      chrA      9-10 ---      chrA     15-16 |         1	
>>        1	 2
>>   -------
>>   regions: 8 ranges and 0 metadata columns
>>   seqinfo: 1 sequence from an unspecified genome; no seqlengths
>> 
>> 
>> Sorting by the two columns yields what I am after.  Of course, I
>> include the “quadX” column for illustration only.  Upon
>> implementation, I would like these columns hidden from the user.
>> 
>> GenomicInteractions object with 10 interactions and 1 metadata
>> column:
>>        seqnames1   ranges1     seqnames2   ranges2
>> |    counts     quad1     quad2
>>            <Rle> <IRanges>         <Rle> <IRanges> | <integer>
>> <integer> <integer>
>>    [1]      chrA       3-4 ---      chrA       3-4 |         1	
>>        0	 0
>>    [2]      chrA       1-2 ---      chrA      9-10 |         1	
>>        0	 1
>>    [3]      chrA       5-6 ---      chrA       7-8 |         1	
>>        0	 1
>>    [4]      chrA       5-6 ---      chrA      9-10 |         1	
>>        0	 1
>>    [5]      chrA       7-8 ---      chrA       7-8 |         1	
>>        0	 3
>>    [6]      chrA       7-8 ---      chrA     11-12 |         1	
>>        0	 3	 
>>    [7]      chrA      9-10 ---      chrA      9-10 |         1	
>>        0	 3
>>    [8]      chrA       1-2 ---      chrA     15-16 |         1	
>>        1	 0
>>    [9]      chrA       7-8 ---      chrA     17-18 |         1	
>>        1	 2
>>   [10]      chrA      9-10 ---      chrA     15-16 |         1	
>>        1	 2
>>   -------
>>   regions: 8 ranges and 0 metadata columns
>>   seqinfo: 1 sequence from an unspecified genome; no seqlengths
>> 
>> The sorting gives me the quad-tree structure, and each unique
>> quadrant sequence defines the group.
>>   
>> 
>> GenomicInteractions object with 10 interactions and 1 metadata
>> column:
>>        seqnames1   ranges1     seqnames2   ranges2 |    counts
>>            <Rle> <IRanges>         <Rle> <IRanges> | <integer>
>>    [1]      chrA       3-4 ---      chrA       3-4 |         1
>>    [2]      chrA       1-2 ---      chrA      9-10 |         1
>>    [3]      chrA       5-6 ---      chrA       7-8 |         1
>>    [4]      chrA       5-6 ---      chrA      9-10 |         1
>>    [5]      chrA       7-8 ---      chrA       7-8 |         1
>>    [6]      chrA       7-8 ---      chrA     11-12 |         1
>>    [7]      chrA      9-10 ---      chrA      9-10 |         1
>>    [8]      chrA       1-2 ---      chrA     15-16 |         1
>>    [9]      chrA       7-8 ---      chrA     17-18 |         1
>>   [10]      chrA      9-10 ---      chrA     15-16 |         1
>>   -------
>>   regions: 8 ranges and 0 metadata columns
>>   seqinfo: 1 sequence from an unspecified genome; no seqlengths
>> 
>> 
>> 2) Then I would like to merge the WxW window (i.e. bin the regions),
>> expanding the ranges accordingly and adding the counts..  This
>> process will
>> 	- ***identify all range-pairs in the same window and merge them
>> into a new range pair with appropriately expanded ranges*** (this is
>> my primary goal)
>> 	- sum the counts for each of the aforementioned range-pairs (i
>> have already figured a way to do this)
>> 
>> 
>> 
>> GenomicInteractions object with 5 interactions and 1 metadata column:
>>        seqnames1   ranges1     seqnames2   ranges2 |    counts
>>            <Rle> <IRanges>         <Rle> <IRanges> | <integer>
>>    [1]      chrA       1-6  ---      chrA      1-6  |         1
>>    [2]      chrA       1-6  ---      chrA      7-12 |         3
>>    [3]      chrA       7-12 ---      chrA      7-12 |         3
>>    [4]      chrA       1-6  ---      chrA     13-18 |         1
>>    [5]      chrA       7-12 ---      chrA     13-18 |         2
>>   -------
>>   regions: 3 ranges and 0 metadata columns
>>   seqinfo: 1 sequence from an unspecified genome; no seqlengths
>> 
>> 
>> NOTE that ranges1 and ranges2 MUST expand so that the region width is
>> 6, though the counts will only change if there exists another
>> subrange covered by this bin/expansion that contains a positive
>> count.
>> 
>> As always, speed in a concern.
>> 
>> Best,
>> 
>> — Luke Klein
>>     PhD Student
>>     Department of Statistics
>>     University of California, Riverside
>>     lklei001 using ucr.edu
>> 
>> 
>> 
>> 
>> 
>> 
>> 
>> _______________________________________________
>> Bioc-devel using r-project.org <mailto:Bioc-devel using r-project.org> mailing list
>> https://stat.ethz.ch/mailman/listinfo/bioc-devel <https://stat.ethz.ch/mailman/listinfo/bioc-devel>

Hello.  I am planning to develop a new package which extends the GenomicInteractions package.  I would like some help/advice on implementing the following functionality.

Consider the follow GenomicInteractions object

GenomicInteractions object with 10 interactions and 1 metadata column:
       seqnames1   ranges1     seqnames2   ranges2 |    counts
           <Rle> <IRanges>         <Rle> <IRanges> | <integer>
   [1]      chrA       1-2 ---      chrA      9-10 |         1
   [2]      chrA       1-2 ---      chrA     15-16 |         1
   [3]      chrA       3-4 ---      chrA       3-4 |         1
   [4]      chrA       5-6 ---      chrA       7-8 |         1
   [5]      chrA       5-6 ---      chrA      9-10 |         1
   [6]      chrA       7-8 ---      chrA       7-8 |         1
   [7]      chrA       7-8 ---      chrA     11-12 |         1
   [8]      chrA       7-8 ---      chrA     17-18 |         1
   [9]      chrA      9-10 ---      chrA      9-10 |         1
  [10]      chrA      9-10 ---      chrA     15-16 |         1
  -------
  regions: 8 ranges and 0 metadata columns
  seqinfo: 1 sequence from an unspecified genome; no seqlengths


Which is visually represented thusly



I would like to do the following:

1) I want to group the regions into bins of WxW (in this case, W will be 3), as in a quad-tree structure <https://en.wikipedia.org/wiki/Quadtree> with the final group being WxW (instead of 2x2).  This will involve 
	- iteratively dividing the matrix into quadrants {upper-left (0), upper-right (1), lower-left (2), lower-right(3)} .
	- labeling each subdivision in a new column until the final WxW resolution is reached.
	- sorting by the columns




GenomicInteractions object with 10 interactions and 1 metadata column:
       seqnames1   ranges1     seqnames2   ranges2 |    counts     quad1     quad2
           <Rle> <IRanges>         <Rle> <IRanges> | <integer> <integer> <integer>
   [1]      chrA       1-2 ---      chrA      9-10 |         1	       0	 1
   [2]      chrA       1-2 ---      chrA     15-16 |         1	       1	 0
   [3]      chrA       3-4 ---      chrA       3-4 |         1	       0	 0
   [4]      chrA       5-6 ---      chrA       7-8 |         1	       0	 1
   [5]      chrA       5-6 ---      chrA      9-10 |         1	       0	 1
   [6]      chrA       7-8 ---      chrA       7-8 |         1	       0	 3	 
   [7]      chrA       7-8 ---      chrA     11-12 |         1	       0	 3
   [8]      chrA       7-8 ---      chrA     17-18 |         1	       1	 2
   [9]      chrA      9-10 ---      chrA      9-10 |         1	       0	 3
  [10]      chrA      9-10 ---      chrA     15-16 |         1	       1	 2
  -------
  regions: 8 ranges and 0 metadata columns
  seqinfo: 1 sequence from an unspecified genome; no seqlengths


Sorting by the two columns yields what I am after.  Of course, I include the “quadX” column for illustration only.  Upon implementation, I would like these columns hidden from the user.

GenomicInteractions object with 10 interactions and 1 metadata column:
       seqnames1   ranges1     seqnames2   ranges2 |    counts     quad1     quad2
           <Rle> <IRanges>         <Rle> <IRanges> | <integer> <integer> <integer>
   [1]      chrA       3-4 ---      chrA       3-4 |         1	       0	 0
   [2]      chrA       1-2 ---      chrA      9-10 |         1	       0	 1
   [3]      chrA       5-6 ---      chrA       7-8 |         1	       0	 1
   [4]      chrA       5-6 ---      chrA      9-10 |         1	       0	 1
   [5]      chrA       7-8 ---      chrA       7-8 |         1	       0	 3
   [6]      chrA       7-8 ---      chrA     11-12 |         1	       0	 3	 
   [7]      chrA      9-10 ---      chrA      9-10 |         1	       0	 3
   [8]      chrA       1-2 ---      chrA     15-16 |         1	       1	 0
   [9]      chrA       7-8 ---      chrA     17-18 |         1	       1	 2
  [10]      chrA      9-10 ---      chrA     15-16 |         1	       1	 2
  -------
  regions: 8 ranges and 0 metadata columns
  seqinfo: 1 sequence from an unspecified genome; no seqlengths

The sorting gives me the quad-tree structure, and each unique quadrant sequence defines the group.
  

GenomicInteractions object with 10 interactions and 1 metadata column:
       seqnames1   ranges1     seqnames2   ranges2 |    counts
           <Rle> <IRanges>         <Rle> <IRanges> | <integer>
   [1]      chrA       3-4 ---      chrA       3-4 |         1
   [2]      chrA       1-2 ---      chrA      9-10 |         1
   [3]      chrA       5-6 ---      chrA       7-8 |         1
   [4]      chrA       5-6 ---      chrA      9-10 |         1
   [5]      chrA       7-8 ---      chrA       7-8 |         1
   [6]      chrA       7-8 ---      chrA     11-12 |         1
   [7]      chrA      9-10 ---      chrA      9-10 |         1
   [8]      chrA       1-2 ---      chrA     15-16 |         1
   [9]      chrA       7-8 ---      chrA     17-18 |         1
  [10]      chrA      9-10 ---      chrA     15-16 |         1
  -------
  regions: 8 ranges and 0 metadata columns
  seqinfo: 1 sequence from an unspecified genome; no seqlengths


2) Then I would like to merge the WxW window (i.e. bin the regions), expanding the ranges accordingly and adding the counts..  This process will
	- ***identify all range-pairs in the same window and merge them into a new range pair with appropriately expanded ranges*** (this is my primary goal)
	- sum the counts for each of the aforementioned range-pairs (i have already figured a way to do this)



GenomicInteractions object with 5 interactions and 1 metadata column:
       seqnames1   ranges1     seqnames2   ranges2 |    counts
           <Rle> <IRanges>         <Rle> <IRanges> | <integer>
   [1]      chrA       1-6  ---      chrA      1-6  |         1
   [2]      chrA       1-6  ---      chrA      7-12 |         3
   [3]      chrA       7-12 ---      chrA      7-12 |         3
   [4]      chrA       1-6  ---      chrA     13-18 |         1
   [5]      chrA       7-12 ---      chrA     13-18 |         2
  -------
  regions: 3 ranges and 0 metadata columns
  seqinfo: 1 sequence from an unspecified genome; no seqlengths


NOTE that ranges1 and ranges2 MUST expand so that the region width is 6, though the counts will only change if there exists another subrange covered by this bin/expansion that contains a positive count.

As always, speed in a concern.

Best,

— Luke Klein
    PhD Student
    Department of Statistics
    University of California, Riverside
    lklei001 using ucr.edu <mailto:lklei001 using ucr.edu>


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