Julia package for representing dual numbers and for performing dual algebra

Implementation of dual numbers for automatic differentiation of programs

numeric facilities for C++ 14; dual numbers, dual quaternions, constrained numbers, intervals

Implemented the forward mode of automatic differentiation with the help of dual numbers using Python.

Algorithmic differentiation with hyper-dual numbers in C++ and Python

Automatic Differentiation Library

Go implementation of dual numbers.

A collection of packages that implement arithmetic for many number systems in Go.

Simple ML package that computes gradients without backpropagation

Automatic differentiation in python using dual numbers.

An interactive exploration tool for dynamics in chaotic systems.

F-1 method

forward mode automatic differentiation using dual numbers

Simple automatic differentiation tool.

Shows that it is possible to implement reverse mode autodiff using a variation on the dual numbers called the codual numbers

The dual-valued matrix Ky Fan p-k-norm is employed for causal emergence to reveal the underlying patterns and structural dependencies within complex systems.

A library for visualizing the mathematical transformations known as Laguerre transformations

Simple forward-mode automatic differentiation written in Rust.

Toy Automatic Differentiation Library

Hyperelastic formulations using an algorithmic differentiation with hyper-dual numbers in Python.

Basic implementation of dual numbers in Python.

Implementation of automatic differentiation (AD) in forward and backward modes with mathematical explanations

A small and simple header only dual number library (written in C++17)

Complexification, perplexification, and nilplexification in Julia

A simple automatic differentiation library written in Go

We develop an approach to identify spatiotemporal patterns in the time-series data, such as traveling waves, using the singular value decomposition of dual matrices.

Dual Number implementation in python

Simple C++ library for dual numbers, quaternions, and dual quaternions

Fwd:AD is a Rust library (crate) to perform forward auto-differentiation, with a focus on empowering its user to manage memory location and minimize copying. This repo is a mirror of https://gitlab.inria.fr/InBio/Public/fwd_ad.

A stable “division by zero” algebra built on nilpotent extensions (dual/jet numbers). Defines a total operator 𝑥 / 0 : = 𝑥 𝜅 x/0:=xκ that preserves ring laws while carrying residue-like remnants. Includes Python library, CLI, and explainer site.