Repository Index

Efficiently computes derivatives of NumPy code.

• autograd
• automatic-differentiation
• numpy
• python

A fast and flexible implementation of Rigid Body Dynamics algorithms and their analytical derivatives

• robotics
• dynamics
• analytical-derivatives
• kinematics

PennyLane is an open-source quantum software platform for quantum computing, quantum machine learning, and quantum chemistry. Create meaningful quantum algorithms, from inspiration to implementation.

• quantum
• machine-learning
• deep-learning
• neural-network

CasADi is a symbolic framework for numeric optimization implementing automatic differentiation in forward and reverse modes on sparse matrix-valued computational graphs. It supports self-contained C-code generation and interfaces state-of-the-art codes such as SUNDIALS, IPOPT etc. It can be used from C++, Python, Matlab/Octave, Julia or Javascript

• optimization
• nonlinear
• derivatives
• code-generation

automatic differentiation made easier for C++

• automatic-differentiation
• auto-differentiation
• autodiff
• autodifferentiation

The Control Toolbox - An Open-Source C++ Library for Robotics, Optimal and Model Predictive Control

• optimal-control
• model-predictive-control
• ilqr
• ilqg

Owl - OCaml Scientific Computing @ https://ocaml.xyz

• matrix
• linear-algebra
• ndarray
• statistical-functions

ACADO Toolkit is a software environment and algorithm collection for automatic control and dynamic optimization. It provides a general framework for using a great variety of algorithms for direct optimal control, including model predictive control, state and parameter estimation and robust optimization.

A tool for semi-automatic cell type classification

• python
• single-cell
• machine-learning
• scrna-seq

The fastest automatic differentiation library for C++, with Python bindings. Forward, adjoint and higher-order derivatives, checkpointing, Eigen support and JIT. Reproducible benchmarks against CppAD, Adept and autodiff.

• automatic-differentiation
• aad
• algorithmic-differentiation
• autodiff

One open-source modeler for structures, heat and fluids, built from scratch in pure Rust: parametric part in, verified results out. Automatic all-hex and tet meshing, our own nonlinear implicit and explicit FEA, heat transfer and lattice Boltzmann CFD — every result checked against theory. For engineers and AI agents alike. Free, forever.

• cae
• cfd
• computational-mechanics
• explicit-dynamics

Solve automatic numerical differentiation problems in one or more variables.

Open source math and physics engine that executes MATLAB-syntax code. Features a modern compiler, automatic GPU acceleration for large calculations, and support for math on geometry / FEA calculations.

• matlab
• rust
• jit-compiler
• linear-algebra

Trick Simulation Environment. Trick provides a common set of simulation capabilities and utilities to build simulations automatically.

An automatic code generator for nonlinear model predictive control (NMPC) and the continuation/GMRES method (C/GMRES) based numerical solvers for NMPC

• model-predictive-control
• nonlinear-model-predictive-control
• mpc
• nmpc

Accelerated tensor operations and dynamic neural networks based on reverse mode automatic differentiation for every device that can run Swift - from watchOS to Linux

• deep-learning
• deep-neural-networks
• gradient-descent
• automatic-differentiation

A .NET library that provides fast, accurate and automatic differentiation (computes derivative / gradient) of mathematical functions.

• mathematical-modelling
• automatic-differentiation
• mathematics
• math