Efficiently computes derivatives of NumPy code.
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Nov 9, 2026 - Python
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Efficiently computes derivatives of NumPy code.
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Gorgonia is a library that helps facilitate machine learning in Go.
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A fast and flexible implementation of Rigid Body Dynamics algorithms and their analytical derivatives
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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.
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Source-to-Source Debuggable Derivatives in Pure Python
automatic differentiation made easier for C++
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Self-contained Machine Learning and Natural Language Processing library in Go
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High-performance automatic differentiation of LLVM and MLIR.
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The Control Toolbox - An Open-Source C++ Library for Robotics, Optimal and Model Predictive Control
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21st century AD
A fast, ergonomic and portable tensor library in Nim with a deep learning focus for CPU, GPU and embedded devices via OpenMP, Cuda and OpenCL backends
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Aircraft design optimization made fast through computational graph transformations (e.g., automatic differentiation). Composable analysis tools for aerodynamics, propulsion, structures, trajectory design, and much more.
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Owl - OCaml Scientific Computing @ https://ocaml.xyz
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A JavaScript library like PyTorch, with GPU acceleration.
Aesara is a Python library for defining, optimizing, and efficiently evaluating mathematical expressions involving multi-dimensional arrays.
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Forward Mode Automatic Differentiation for Julia
OptimLib: a lightweight C++ library of numerical optimization methods for nonlinear functions
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『ゼロから作る Deep Learning ❸』(O'Reilly Japan, 2020)
Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.
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The Stan Math Library is a C++ template library for automatic differentiation of any order using forward, reverse, and mixed modes. It includes a range of built-in functions for probabilistic modeling, linear algebra, and equation solving.
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