Repositories list

• DifferentiationInterface.jl

  Public
  An interface to various automatic differentiation backends in Julia.

  machine-learningjuliaautomatic-differentiation+ 2

  machine-learningjuliaautomatic-differentiationdifferentiationautodiff

  Julia

  •

  MIT License

  •3232 forks•300300 stars•5858 issues•77 pull requests•Updated Apr 21, 2026Apr 21, 2026

• Mooncake.jl

  Public
  Implementation of a language-level autograd compiler

  Julia

  •

  MIT License

  •3333 forks•00 stars•00 issues•00 pull requests•Updated Apr 20, 2026Apr 20, 2026

• ChainRules.jl

  Public
  forward and reverse mode automatic differentiation primitives for Julia Base + StdLibs

  juliaautomatic-differentiationhacktoberfest+ 3

  juliaautomatic-differentiationhacktoberfestreverse-modeforward-modemixed-mode

  Julia

  •

  Other

  •9797 forks•473473 stars•9696 issues•4646 pull requests•Updated Apr 20, 2026Apr 20, 2026

• ForwardDiff.jl

  Public
  Forward Mode Automatic Differentiation for Julia

  calculusjuliaautomatic-differentiation

  calculusjuliaautomatic-differentiation

  Julia

  •

  Other

  •158158 forks•987987 stars•119119 issues•3838 pull requests•Updated Apr 20, 2026Apr 20, 2026

• TaylorDiff.jl

  Public

  JuliaDiff/TaylorDiff.jl’s past year of commit activity
  Taylor-mode automatic differentiation for higher-order derivatives

  juliaautomatic-differentiationpde+ 1

  juliaautomatic-differentiationpdetaylor-series

  Julia

  •

  MIT License

  •1111 forks•8282 stars•88 issues•00 pull requests•Updated Apr 20, 2026Apr 20, 2026

• ChainRulesCore.jl

  Public

  JuliaDiff/ChainRulesCore.jl’s past year of commit activity
  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…

  juliaautomatic-differentiationhacktoberfest

  juliaautomatic-differentiationhacktoberfest

  Julia

  •

  Other

  •6666 forks•265265 stars•112112 issues•2828 pull requests•Updated Apr 20, 2026Apr 20, 2026

• SparseMatrixColorings.jl

  Public
  Coloring algorithms for sparse Jacobian and Hessian matrices

  graphautomatic-differentiationsparse+ 3

  graphautomatic-differentiationsparsegreedycoloringautodiff

  Julia

  •

  MIT License

  •88 forks•4040 stars•1515 issues•77 pull requests•Updated Apr 17, 2026Apr 17, 2026

• FiniteDiff.jl

  Public

  JuliaDiff/FiniteDiff.jl’s past year of commit activity
  Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support

  fastgpujulia+ 9

  fastgpujuliasparsederivativesgradientssparse-matrixjacobianscoloringhessians+ 2

  Julia

  •

  Other

  •4040 forks•285285 stars•1212 issues•22 pull requests•Updated Apr 16, 2026Apr 16, 2026

• TaylorSeries.jl

  Public

  JuliaDiff/TaylorSeries.jl’s past year of commit activity
  Taylor polynomial expansions in one and several independent variables.

  juliaautomatic-differentiationpolynomials+ 1

  juliaautomatic-differentiationpolynomialstaylor-expansions

  Julia

  •

  Other

  •5454 forks•368368 stars•3030 issues•33 pull requests•Updated Apr 6, 2026Apr 6, 2026

• ReverseDiff.jl

  Public
  Reverse Mode Automatic Differentiation for Julia

  calculusjuliaautomatic-differentiation

  calculusjuliaautomatic-differentiation

  Julia

  •

  Other

  •5858 forks•384384 stars•7373 issues•66 pull requests•Updated Apr 2, 2026Apr 2, 2026

• FiniteDifferences.jl

  Public
  High accuracy derivatives, estimated via numerical finite differences (formerly FDM.jl)

  juliafinite-differencesnumerical-differentiation

  juliafinite-differencesnumerical-differentiation

  Julia

  •

  MIT License

  •3030 forks•315315 stars•3333 issues•99 pull requests•Updated Mar 29, 2026Mar 29, 2026

• DistributionsAD.jl

  Public archive
  Automatic differentiation of Distributions using Tracker, Zygote, ForwardDiff and ReverseDiff

  Julia

  •

  MIT License

  •3030 forks•153153 stars•2727 issues•00 pull requests•Updated Mar 3, 2026Mar 3, 2026

• BlueStyle

  Public
  A Julia style guide that lives in a blue world

  styleguideformattingjulia+ 2

  styleguideformattingjuliabluejulia-language

  Creative Commons Zero v1.0 Universal

  •3333 forks•513513 stars•3535 issues•22 pull requests•Updated Feb 19, 2026Feb 19, 2026

• PolyesterForwardDiff.jl

  Public
  Julia

  •

  MIT License

  •55 forks•3535 stars•11 issue•22 pull requests•Updated Dec 15, 2025Dec 15, 2025

• Diffractor.jl

  Public
  Next-generation AD

  Julia

  •

  MIT License

  •3232 forks•451451 stars•4040 issues•2121 pull requests•Updated Nov 24, 2025Nov 24, 2025

• DiffResults.jl

  Public
  A package which provides an API for querying differentiation results at multiple orders simultaneously

  Julia

  •

  Other

  •99 forks•3737 stars•66 issues•77 pull requests•Updated Nov 24, 2025Nov 24, 2025

• ChainRulesTestUtils.jl

  Public
  Utilities for testing custom AD primitives.

  automatic-differentiationhacktoberfestautodiff

  automatic-differentiationhacktoberfestautodiff

  Julia

  •

  MIT License

  •1818 forks•5151 stars•6464 issues•1010 pull requests•Updated Oct 3, 2025Oct 3, 2025

• SparseDiffTools.jl

  Public archive
  Fast jacobian computation through sparsity exploitation and matrix coloring

  Julia

  •

  MIT License

  •4343 forks•252252 stars•3333 issues•55 pull requests•Updated Aug 18, 2025Aug 18, 2025

• juliadiff.github.io

  Public
  JavaScript

  •99 forks•1111 stars•00 issues•00 pull requests•Updated Apr 25, 2025Apr 25, 2025

• AbstractDifferentiation.jl

  Public
  An abstract interface for automatic differentiation.

  Julia

  •

  MIT License

  •1717 forks•139139 stars•3838 issues•88 pull requests•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

  •

  MIT License

  •11 fork•88 stars•22 issues•22 pull requests•Updated Nov 18, 2024Nov 18, 2024

• DualNumbers.jl

  Public
  Julia package for representing dual numbers and for performing dual algebra

  juliadual-numbers

  juliadual-numbers

  Julia

  •

  Other

  •2828 forks•8181 stars•1515 issues•99 pull requests•Updated Nov 10, 2024Nov 10, 2024

• DiffRules.jl

  Public
  A simple shared suite of common derivative definitions

  Julia

  •

  Other

  •3636 forks•7474 stars•88 issues•66 pull requests•Updated Dec 31, 2023Dec 31, 2023

• DiffTests.jl

  Public
  A common suite of test functions for stressing the robustness of differentiation tools.

  Julia

  •

  Other

  •88 forks•1212 stars•33 issues•44 pull requests•Updated Jun 23, 2023Jun 23, 2023

• ChainRulesOverloadGeneration.jl

  Public
  Tools to help generate operator overloads based on ChainRules

  Julia

  •

  Other

  •00 forks•44 stars•22 issues•44 pull requests•Updated Mar 22, 2023Mar 22, 2023

• ChainRulesDeclarationHelpers.jl

  Public
  Helpers for declaring ChainRules

  metaprogramminghacktoberfestautodiff

  metaprogramminghacktoberfestautodiff

  Julia

  •11 fork•11 star•00 issues•44 pull requests•Updated Mar 16, 2023Mar 16, 2023

• HyperDualNumbers.jl

  Public
  Julia implementation of HyperDualNumbers

  Julia

  •

  Other

  •1616 forks•4343 stars•11 issue•00 pull requests•Updated Mar 14, 2023Mar 14, 2023

• Capstan.jl

  Public
  A Cassette-based automatic differentiation package for the Julia language

  Julia

  •

  Other

  •66 forks•5656 stars•33 issues•11 pull request•Updated Mar 14, 2023Mar 14, 2023