• OpenAD/F

  • Referenced in 24 articles [sw09380]
  • modular open-source tool for automatic differentiation of Fortran codes. The Open/ADF tool allows ... transformation follows the basic principles of automatic differentiation, the tool implements new algorithmic approaches ... call graph reversal. Unlike most other automatic differentiation tools, Open/ADF uses components provided...
  • dcc

  • Referenced in 37 articles [sw07577]
  • book on algorithmic (also known as automatic) differentiation (AD), providing fundamental rules for the generation...
  • GlobSol

  • Referenced in 38 articles [sw06724]
  • combines various ideas from interval analysis, automatic differentiation, and constraint propagation to provide verified solutions...
  • FPINNs

  • Referenced in 27 articles [sw40570]
  • effective in solving integer-order partial differential equations (PDEs) based on scattered and noisy data ... explicitly encoded into the NN using automatic differentiation, while the sum of the mean-squared ... loss function using both automatic differentiation for the integer-order operators and numerical discretization...
  • MAD

  • Referenced in 26 articles [sw12534]
  • efficient overloaded implementation of forward mode automatic differentiation in MATLAB. The Mad package described here ... well-known forward mode of automatic differentiation implemented via operator overloading on variables...
  • CppAD

  • Referenced in 36 articles [sw04866]
  • Algorithm differentiation of implicit functions and optimal values In applied optimization, an understanding ... this paper we adapt a known automatic differentiation (AD) technique for obtaining derivatives of implicitly...
  • ADMIT

  • Referenced in 22 articles [sw02687]
  • ADMIT-1. Automatic differentiation and MATLAB interface toolbox. ADMIT-1 enables the computation of sparse ... Jacobian and Hessian matrices, using automatic differentiation technology, from a MATLAB environment. Given a function ... differentiated, ADMIT-1 will exploit sparsity if present to yield sparse derivative matrices ... sparse MATLAB form). A generic automatic differentiation tool, subject to some functionality requirements...
  • PCOMP

  • Referenced in 21 articles [sw00688]
  • PCOMP: A Fortran code for automatic differentiation. Automatic differentiation is an interesting and important tool...
  • SMS

  • Referenced in 31 articles [sw01085]
  • several techniques: symbolic capabilities of Mathematica, automatic differentiation technique, simultaneous optimization of expressions...
  • NLPLIB

  • Referenced in 30 articles [sw03199]
  • analytical derivatives are not available, automatic differentiation is easy using an interface to ADMAT/ADMIT...
  • ForwardDiff

  • Referenced in 19 articles [sw16106]
  • Forward-Mode Automatic Differentiation in Julia. We present ForwardDiff, a Julia package for forward-mode ... automatic differentiation (AD) featuring performance competitive with low-level languages like C++. Unlike recently developed...
  • ADVI

  • Referenced in 27 articles [sw34040]
  • propose an automatic variational inference algorithm, automatic differentiation variational inference (ADVI). The user only provides ... broad class of models. The algorithm automatically determines an appropriate variational family and optimizes...
  • MRST-AD

  • Referenced in 24 articles [sw25330]
  • discrete differential operators; and (iii) automatic differentiation that ensures that no analytical derivatives have...
  • ADMB

  • Referenced in 16 articles [sw07416]
  • model builder: using automatic differentiation for statistical inference of highly parameterized complex nonlinear models. Many ... formulated as a nonlinear optimization problem. Automatic Differentiation Model Builder (ADMB) is a programming framework ... based on automatic differentiation, aimed at highly nonlinear models with a large number of parameters...
  • SBA

  • Referenced in 24 articles [sw05242]
  • differentiation (e.g. maple), or obtained using automatic differentiation techniques. There is also the alternative...
  • DAEPACK

  • Referenced in 17 articles [sw12958]
  • derivatives of the original model using automatic differentiation (AD) (automatic differentiation...
  • PADRE2

  • Referenced in 14 articles [sw00667]
  • computation involves algorithms based on Fast Automatic Differentiation (and automatic differentiation). Since the error estimates ... numerically zero, software systems for Fast Automatic Differentiation like PADRE2 are valuable. We discuss ... performance of Fast Automatic Differentiation, specifically, the overhead for using the technique with PADRE2...
  • TMB

  • Referenced in 25 articles [sw16279]
  • templates. The package combines CppAD (C++ automatic differentiation), Eigen (templated matrix-vector library) and CHOLMOD ... approximation with exact derivatives. Key features are: Automatic sparseness detection, parallelism through BLAS and parallel...
  • Autograd

  • Referenced in 25 articles [sw22077]
  • Autograd can automatically differentiate native Python and Numpy code. It can handle a large subset...
  • GPflow

  • Referenced in 25 articles [sw21518]
  • concise code through the use of automatic differentiation, has been engineered with a particular emphasis...