[Numpy-discussion] Convolution of NumPy arrays of arbitrary dimension

[Foad Sojoodi Farimani]

Hi Hameer,

Thanks for the reply. I have indeed seen scipy.ndimage.convolve and have
mentioned it in the OP
<https://stackoverflow.com/questions/51794274/convolution-of-numpy-arrays-of-arbitrary-dimension-for-cauchy-product-of-multiva>.
but some questions:


   1. although there is nothing about the dimension of the ndarrays in its
   official page
   <https://docs.scipy.org/doc/scipy-0.16.1/reference/generated/scipy.ndimage.filters.convolve.html>,
   but I haven't seen any examples showing it works with higher dimensions.
   2. the only generalization I know of is astropy.convolution
   <http://docs.astropy.org/en/stable/convolution/> which works up to 3D.
   3. what is the difference between seen scipy.ndimage
   and scipy.signal.convolve? It seems to me the later is for function
   analysis <https://en.wikipedia.org/wiki/Convolution> not array
   arithmetics.
   4. As I can see the term convolution, even for array, arithmetics has
   different meanings. For example there is
   also scipy.ndimage.filters.convolve which apparently calculate things in a
   different way. My final goal is do finite multivariate formal power series
   multiplication (Cauchy product). I think I have figured the formula out
   here
   <https://math.stackexchange.com/questions/2877478/cauchy-product-of-multivariate-formal-power-series>,
   but I'm not sure if it is correct completely. questions are:
      1. is my formula correct?
         - if not what is the correct one?
         2. if yes has this been done before?
      - if yes where? does any of the above functions do the job?
         3. if not is my implementation correct so far?
      4. how to finish the final step to populate the ndarray using the
      conv function?

Thanks a gain and looking forwards to hearing back.

Best,
Foad

On Sat, Aug 11, 2018 at 7:39 AM <einstein.edison at gmail.com> wrote:

> On 11. Aug 2018, at 00:24, Foad Sojoodi Farimani <f.s.farimani at gmail.com>
> wrote:
>
> Hello everyone,
>
> My first email here, so sorry in advance if I'm violating any rules.
> I'm trying to implement the convolution of NumPy arrays of arbitrary
> dimension in order to get Cauchy product of multivariate power series.
> However I have some issues. I was wondering maybe you can help and this
> might also be of your interest.  I have explained everything here in this
> StackOverflow post:
>
> http://bit.ly/2MhJCex
>
> I would appreciate if you could help me figure this out. Thanks in advance.
>
> Best,
> Foad
>
> _______________________________________________
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>
>
> Hi Foad, you can use scipy.signal.convolve. It works on N-D arrays.
>
> Best Regards
> Hameer Abbasi
> Sent from my iPhone
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