JuliaDiff

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25 repositories

DifferentiationInterface.jl
Public
An interface to various automatic differentiation backends in Julia.
machine-learning julia automatic-differentiation differentiation autodiff
Julia
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MIT License
•26•279•49•4•Updated Sep 22, 2025Sep 22, 2025
TaylorSeries.jl
Public
Taylor polynomial expansions in one and several independent variables.
automatic-differentiation polynomials taylor-expansions julia
Julia
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Other
•52•359•31•3•Updated Sep 20, 2025Sep 20, 2025
ForwardDiff.jl
Public
Forward Mode Automatic Differentiation for Julia
calculus automatic-differentiation julia
Julia
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Other
•154•955•114•37•Updated Sep 15, 2025Sep 15, 2025
FiniteDifferences.jl
Public
High accuracy derivatives, estimated via numerical finite differences (formerly FDM.jl)
julia numerical-differentiation finite-differences
Julia
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MIT License
•27•306•34•8•Updated Sep 15, 2025Sep 15, 2025
ChainRules.jl
Public
forward and reverse mode automatic differentiation primitives for Julia Base + StdLibs
automatic-differentiation hacktoberfest reverse-mode forward-mode mixed-mode julia
Julia
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Other
•92•456•97•40•Updated Sep 8, 2025Sep 8, 2025
DiffResults.jl
Public
A package which provides an API for querying differentiation results at multiple orders simultaneously
Julia
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Other
•9•37•6•9•Updated Sep 8, 2025Sep 8, 2025
ReverseDiff.jl
Public
Reverse Mode Automatic Differentiation for Julia
calculus automatic-differentiation julia
Julia
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Other
•56•381•71•6•Updated Sep 4, 2025Sep 4, 2025
FiniteDiff.jl
Public
Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support
fast gpu julia sparse derivatives gradients sparse-matrix jacobians coloring hessians
Julia
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Other
•41•275•11•3•Updated Aug 26, 2025Aug 26, 2025
SparseDiffTools.jl
Public archive
Fast jacobian computation through sparsity exploitation and matrix coloring
Julia
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MIT License
•45•251•33•5•Updated Aug 18, 2025Aug 18, 2025
ChainRulesCore.jl
Public
AD-backend agnostic system defining custom forward and reverse mode rules. This is the light weight core to allow you to define rules for your functions in your packages, without depending on any particular AD system.
julia automatic-differentiation hacktoberfest
Julia
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Other
•65•262•112•23•Updated Aug 18, 2025Aug 18, 2025
TaylorDiff.jl
Public
Taylor-mode automatic differentiation for higher-order derivatives
julia automatic-differentiation pde taylor-series
Julia
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MIT License
•10•80•8•1•Updated Aug 18, 2025Aug 18, 2025
PolyesterForwardDiff.jl
Public
Julia
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MIT License
•5•34•1•1•Updated Aug 18, 2025Aug 18, 2025
Diffractor.jl
Public
Next-generation AD
Julia
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MIT License
•32•445•40•17•Updated Aug 12, 2025Aug 12, 2025
juliadiff.github.io
Public
JavaScript
•9•11•0•0•Updated Apr 25, 2025Apr 25, 2025
ChainRulesTestUtils.jl
Public
Utilities for testing custom AD primitives.
automatic-differentiation hacktoberfest autodiff
Julia
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MIT License
•17•51•64•11•Updated Apr 21, 2025Apr 21, 2025
AbstractDifferentiation.jl
Public
An abstract interface for automatic differentiation.
Julia
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MIT License
•17•140•38•8•Updated Jan 5, 2025Jan 5, 2025
DocThemeIndigo.jl
Public
The Documenter Theme for the ChainRules family of packages. But you can use it too
SCSS
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MIT License
•1•8•2•2•Updated Nov 18, 2024Nov 18, 2024
DualNumbers.jl
Public
Julia package for representing dual numbers and for performing dual algebra
julia dual-numbers
Julia
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Other
•29•81•15•9•Updated Nov 10, 2024Nov 10, 2024
BlueStyle
Public
A Julia style guide that lives in a blue world
styleguide formatting blue julia-language julia
Creative Commons Zero v1.0 Universal
•33•506•35•2•Updated Mar 8, 2024Mar 8, 2024
DiffRules.jl
Public
A simple shared suite of common derivative definitions
Julia
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Other
•36•73•8•6•Updated Dec 31, 2023Dec 31, 2023
DiffTests.jl
Public
A common suite of test functions for stressing the robustness of differentiation tools.
Julia
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Other
•8•12•3•4•Updated Jun 23, 2023Jun 23, 2023
ChainRulesOverloadGeneration.jl
Public
Tools to help generate operator overloads based on ChainRules
Julia
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Other
•0•4•2•4•Updated Mar 22, 2023Mar 22, 2023
ChainRulesDeclarationHelpers.jl
Public
Helpers for declaring ChainRules
metaprogramming hacktoberfest autodiff
Julia
•1•1•0•4•Updated Mar 16, 2023Mar 16, 2023
HyperDualNumbers.jl
Public
Julia implementation of HyperDualNumbers
Julia
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Other
•16•43•1•0•Updated Mar 14, 2023Mar 14, 2023
Capstan.jl
Public
A Cassette-based automatic differentiation package for the Julia language
Julia
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Other
•6•56•3•1•Updated Mar 14, 2023Mar 14, 2023