JuliaDiff / JuliaDiff/ChainRulesCore.jl

Document how to construct Wirtinger derivative

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Complex Differentiation documentation good first issue
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Description

There are so many examples on here, discourse, and Zygote docs where someone writes the Wirtinger derivative in terms of frule and rrule (e.g. https://fluxml.ai/Zygote.jl/stable/complex/). Might be worth including it for completeness in https://juliadiff.org/ChainRulesCore.jl/dev/maths/complex.html

Originally posted by @sethaxen in https://github.com/JuliaDiff/ChainRulesCore.jl/issues/66#issuecomment-1440105421

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Research direction

Start with the existing complex-calculus page at juliadiff.org/ChainRulesCore.jl/dev/maths/complex.html and compare its coverage with the linked Zygote documentation. Document how the Wirtinger derivative is constructed using frule and rrule, with enough context and examples to make the existing discussion complete.

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Assessment

Tech stack
julia
Domain
documentation
Issue type
Documentation
Difficulty
2/5
Estimated time
1-3 hours
Activity status
Stale
Clarity
Clearly specified
Newbie friendliness
50/100

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