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RFC: add support for complex input to mean #846

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lucascolley opened this issue Sep 25, 2024 · 2 comments
Open

RFC: add support for complex input to mean #846

lucascolley opened this issue Sep 25, 2024 · 2 comments
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API change Changes to existing functions or objects in the API. RFC Request for comments. Feature requests and proposed changes. topic: Complex Data Types Complex number data types. topic: Statistics Statistics.
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v2024

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@lucascolley
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x-ref https://github.com/data-apis/array-api-extra/pull/10/files#r1776010210

While implementing a simple cov in array-api-extra (data-apis/array-api-extra#10) I found that xp.mean does not support complex input. @kgryte suggested opening an issue over here as the arithmetic mean is well-defined for complex numbers.
@kgryte kgryte added RFC Request for comments. Feature requests and proposed changes. API change Changes to existing functions or objects in the API. topic: Complex Data Types Complex number data types. topic: Statistics Statistics. labels Sep 25, 2024
@kgryte kgryte added this to the v2024 milestone Sep 25, 2024
@asmeurer
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Was there a reason for this or was it just an accidental omission? Mean is well-defined for complex numbers (https://en.wikipedia.org/wiki/Complex_random_variable), and should be easy to implement since you either just apply the real kernel formula directly to complex data types, or take the means of the real and imaginary parts separately.

@kgryte
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kgryte commented Sep 25, 2024

I believe an omission and thus far no R&D whether supported across all array libraries.

@lucascolley lucascolley mentioned this issue Sep 28, 2024
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API change Changes to existing functions or objects in the API. RFC Request for comments. Feature requests and proposed changes. topic: Complex Data Types Complex number data types. topic: Statistics Statistics.
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v2024
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