JuliaDiff / JuliaDiff/ChainRulesTestUtils.jl

Testing derivatives via Integral

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speculative
Dominant language
Julia
Stars
50
Forks
18
PR merge metrics
No merged PRs in 30d

Description

The fundamental theorem of calculus says that differential problems can also be expressed as Integral problems.
Certain functions like clamp, max, min lack a definition of derivatives at every point.
When you perform a finite difference approximation the result will certainly be in doubt around these points.
Integrals would be mostly immune against those defects.

Do you have any thoughts on idea?

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Research direction

The issue names no files or tests and asks for feedback on testing derivatives through integrals. Start by reviewing the repository's existing custom AD primitive testing utilities and determine whether an integral-based approach can be specified; done would be a decided, actionable scope rather than an open-ended proposal.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
testing-qa
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
20/100

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