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ChainRules.jl reviews and mentions
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Automatic Differentiation Does Incur Truncation Errors (Kinda)
The Julia ecosystem provides has a library that includes the differentiation rules hinted at at the end.
https://github.com/JuliaDiff/ChainRules.jl is used by (almost all) automatic differentiation engines and provides an extensive list of such rules.
If the example used sin|cos the auto diff implementations in Julia would have called native cos|-sin and not encurred such a "truncation error". However the post illustrates the idea in a good way.
Good post oxinabox
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JuliaDiff/ChainRules.jl is an open source project licensed under GNU General Public License v3.0 or later which is an OSI approved license.
The primary programming language of ChainRules.jl is Julia.
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