Repositories list

• ReverseDiff.jl

  Public
  Reverse Mode Automatic Differentiation for Julia

  calculusjuliaautomatic-differentiation

  calculusjuliaautomatic-differentiation

  Julia

  •

  Other

  •6161 forks•396396 stars•6767 issues•55 pull requests•Updated Oct 6, 2026Oct 6, 2026

• DifferentiationInterface.jl

  Public
  An interface to various automatic differentiation backends in Julia.

  machine-learningjuliaautomatic-differentiation+ 2

  machine-learningjuliaautomatic-differentiationdifferentiationautodiff

  Julia

  •

  MIT License

  •3636 forks•314314 stars•7272 issues•66 pull requests•Updated Oct 5, 2026Oct 5, 2026

• SparseConnectivityTracer.jl

  Public
  Fast operator-overloading Jacobian & Hessian sparsity pattern detection.

  sparsityjuliaautomatic-differentiation+ 4

  sparsityjuliaautomatic-differentiationjacobianhessianasdautodiff

  Julia

  •

  MIT License

  •1414 forks•6060 stars•2525 issues•11 pull request•Updated Oct 5, 2026Oct 5, 2026

• TaylorSeries.jl

  Public
  Taylor polynomial expansions in one and several independent variables.

  juliaautomatic-differentiationpolynomials+ 1

  juliaautomatic-differentiationpolynomialstaylor-expansions

  Julia

  •

  Other

  •5555 forks•389389 stars•2424 issues•33 pull requests•Updated Oct 5, 2026Oct 5, 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

  •9898 forks•475475 stars•9797 issues•5151 pull requests•Updated Oct 4, 2026Oct 4, 2026

• ForwardDiff.jl

  Public
  Forward Mode Automatic Differentiation for Julia

  calculusjuliaautomatic-differentiation

  calculusjuliaautomatic-differentiation

  Julia

  •

  Other

  •162162 forks•1k1k stars•131131 issues•5050 pull requests•Updated Sep 30, 2026Sep 30, 2026

• DiffTests.jl

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

  Julia

  •

  Other

  •88 forks•1212 stars•22 issues•33 pull requests•Updated Sep 23, 2026Sep 23, 2026

• SparseMatrixColorings.jl

  Public
  Coloring algorithms for sparse Jacobian and Hessian matrices

  graphautomatic-differentiationsparse+ 3

  graphautomatic-differentiationsparsegreedycoloringautodiff

  Julia

  •

  MIT License

  •1111 forks•4545 stars•1515 issues•66 pull requests•Updated Sep 20, 2026Sep 20, 2026

• DiffRules.jl

  Public
  A simple shared suite of common derivative definitions

  Julia

  •

  Other

  •3636 forks•7474 stars•88 issues•44 pull requests•Updated Sep 19, 2026Sep 19, 2026

• FiniteDiff.jl

  Public
  Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support

  fastgpujulia+ 9

  fastgpujuliasparsederivativesgradientssparse-matrixjacobianscoloringhessians+ 2

  Julia

  •

  Other

  •4242 forks•304304 stars•1313 issues•22 pull requests•Updated Sep 16, 2026Sep 16, 2026

• AbstractDifferentiation.jl

  Public
  An abstract interface for automatic differentiation.

  Julia

  •

  MIT License

  •1818 forks•138138 stars•3838 issues•99 pull requests•Updated Aug 9, 2026Aug 9, 2026

• PolyesterForwardDiff.jl

  Public
  Julia

  •

  MIT License

  •66 forks•3434 stars•11 issue•44 pull requests•Updated Aug 5, 2026Aug 5, 2026

• DocThemeIndigo.jl

  Public
  The Documenter Theme for the ChainRules family of packages. But you can use it too

  SCSS

  •

  MIT License

  •11 fork•77 stars•22 issues•44 pull requests•Updated Aug 3, 2026Aug 3, 2026

• 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•66 pull requests•Updated Jul 27, 2026Jul 27, 2026

• TaylorDiff.jl

  Public
  Taylor-mode automatic differentiation for higher-order derivatives

  juliaautomatic-differentiationpde+ 1

  juliaautomatic-differentiationpdetaylor-series

  Julia

  •

  MIT License

  •1212 forks•8383 stars•88 issues•00 pull requests•Updated Jun 22, 2026Jun 22, 2026

• 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…

  juliaautomatic-differentiationhacktoberfest

  juliaautomatic-differentiationhacktoberfest

  Julia

  •

  Other

  •6666 forks•267267 stars•112112 issues•2929 pull requests•Updated Jun 22, 2026Jun 22, 2026

• FiniteDifferences.jl

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

  juliafinite-differencesnumerical-differentiation

  juliafinite-differencesnumerical-differentiation

  Julia

  •

  MIT License

  •3232 forks•319319 stars•3434 issues•99 pull requests•Updated May 25, 2026May 25, 2026

• Mooncake.jl

  Public
  Implementation of a language-level autograd compiler

  Julia

  •

  MIT License

  •3838 forks•00 stars•00 issues•00 pull requests•Updated Apr 20, 2026Apr 20, 2026

• DistributionsAD.jl

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

  Julia

  •

  MIT License

  •3030 forks•152152 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

  •3434 forks•519519 stars•3535 issues•22 pull requests•Updated Feb 19, 2026Feb 19, 2026

• Diffractor.jl

  Public
  Next-generation AD

  Julia

  •

  MIT License

  •3333 forks•453453 stars•4040 issues•2121 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•5050 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

• DualNumbers.jl

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

  juliadual-numbers

  juliadual-numbers

  Julia

  •

  Other

  •2727 forks•8080 stars•1515 issues•99 pull requests•Updated Nov 10, 2024Nov 10, 2024

• 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

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  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

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  Other

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