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JuliaDiff

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ForwardDiff.jl

Forward Mode Automatic Differentiation for Julia

BlueStyle

A Julia style guide that lives in a blue world

Diffractor.jl

Next-generation AD

ChainRules.jl

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

ReverseDiff.jl

Reverse Mode Automatic Differentiation for Julia

TaylorSeries.jl

Taylor polynomial expansions in one and several independent variables.

FiniteDifferences.jl

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

ChainRulesCore.jl

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.

SparseDiffTools.jl

Fast jacobian computation through sparsity exploitation and matrix coloring

FiniteDiff.jl

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

AbstractDifferentiation.jl

An abstract interface for automatic differentiation.

DualNumbers.jl

Julia package for representing dual numbers and for performing dual algebra

DiffRules.jl

A simple shared suite of common derivative definitions

TaylorDiff.jl

Taylor-mode automatic differentiation for higher-order derivatives

Capstan.jl

A Cassette-based automatic differentiation package for the Julia language

ChainRulesTestUtils.jl

Utilities for testing custom AD primitives.

HyperDualNumbers.jl

Julia implementation of HyperDualNumbers

DiffResults.jl

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

PolyesterForwardDiff.jl

DiffTests.jl

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

juliadiff.github.io

DocThemeIndigo.jl

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

ChainRulesOverloadGeneration.jl

Tools to help generate operator overloads based on ChainRules

ChainRulesDeclarationHelpers.jl

Helpers for declaring ChainRules