# [Rd] Fastest non-overlapping binning mean function out there?

Hervé Pagès hpages at fhcrc.org
Wed Oct 3 04:46:18 CEST 2012

```On 10/02/2012 06:11 PM, Hervé Pagès wrote:
> Hi Henrik,
>
> On 10/02/2012 05:19 PM, Henrik Bengtsson wrote:
>> Hi,
>>
>> I'm looking for a super-duper fast mean/sum binning implementation
>> available in R, and before implementing z = binnedMeans(x y) in native
>> code myself, does any one know of an existing function/package for
>> this?  I'm sure it already exists.  So, given data (x,y) and B bins
>> bx < bx < ... < bx[B] < bx[B+1], I'd like to calculate the
>> binned means (or sums) 'z' such that z = mean(x[bx <= x & x <
>> bx]), z = mean(x[bx <= x & x < bx]), .... z[B].  Let's
>> assume there are no missing values and 'x' and 'bx' is already
>> ordered.  The length of 'x' is in the order of 10,000-millions.  The
>> number of elements in each bin vary.
>
> You didn't say if you have a lot of bins or not. If you don't have a lot
> of bins (e.g. < 10000), something like
>
>    aggregate(x, by=list(bin=findInterval(x, bx)), FUN=mean)
>
> might not be too bad:
>
>    > x <- seq(0, 8, by=0.1)
>    > bx <- c(2, 2.5, 4, 5.8)
>    > aggregate(x, by=list(bin=findInterval(x, bx)), FUN=mean)
>      bin    x
>    1   0 0.95
>    2   1 2.20
>    3   2 3.20
>    4   3 4.85
>    5   4 6.90

Of course, if you have a lot of bins, using aggregate() is not optimal.
But you can replace it by your own optimized version e.g.:

## 'bin' must be a sorted vector of non-negative integers of the
## same length as 'x'.
fast_aggregate_mean <- function(x, bin, nbins)
{
bin_count <- tabulate(bin + 1L, nbins=nbins)
diff(c(0L, cumsum(x)[cumsum(bin_count)])) / bin_count
}

Then:

bin <- findInterval(x, bx)
fast_aggregate_mean(x, bin, nbins=length(bx)+1L)

On my machine this is 100x faster or more than using aggregate() when
the number of bins is > 100k. Memory usage is also reduced a lot.
Another benefit of using fast_aggregate_mean() over aggregate() is
that all the bins are represented in the output (aggregate() ignores
empty bins).

Cheers,
H.

>
> I didn't try it on a 10,000-millions-elements vector though (and I've
> no idea how I could do this).
>
> H.
>
>
>>
>> Thanks,
>>
>> Henrik
>>
>> ______________________________________________
>> R-devel at r-project.org mailing list
>> https://stat.ethz.ch/mailman/listinfo/r-devel
>>
>

--
Hervé Pagès

Program in Computational Biology
Division of Public Health Sciences
Fred Hutchinson Cancer Research Center
1100 Fairview Ave. N, M1-B514
P.O. Box 19024
Seattle, WA 98109-1024

E-mail: hpages at fhcrc.org
Phone:  (206) 667-5791
Fax:    (206) 667-1319

```