JuliaDiff / JuliaDiff/ChainRulesCore.jl

`tangent * tangent` and `dot(tangent, tangent)` can return tangents.

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Dominant language
Julia
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Description

I noticed that there are methods of * and dot for the AbstractZero types that work like

Base.:*(::NoTangent, ::NoTangent) = NoTangent()
LinearAlgebra.dot(::NoTangent, ::ZeroTangent) = ZeroTangent()

However, if both arguments are tangents,

  1. * should not be defined.
  2. dot should return a real number, not another tangent.

In my understanding, code that relies on such nonlinear tangent to tangent operations cannot be correct, so it may be worthwhile to remove such methods.

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  4. Open a pull request that references the issue number.

Research direction

Start by locating the AbstractZero definitions for * and dot, including the NoTangent and ZeroTangent cases shown in the issue. Compare the behavior when both arguments are tangents and check the surrounding tests. Done means tangent-to-tangent * is no longer defined and tangent-to-tangent dot returns a real number.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
tooling
Issue type
Bug
Difficulty
3/5
Estimated time
1-2 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
35/100

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