- Argonne National Laboratory, USA
- Brain and Computation Lab, National University of Ireland Maynooth, Ireland
We are working on higher-order automatic differentiation, focusing on implementations in functional languages. We are adding exact first-class differentiation operators to the lambda calculus and create systems suitable for fast numeric computing and compositional approaches in machine learning.
- Cranfield University - Centre for Simulation and Analytics, UK
Our interests include: AD Tool development for MATLAB code via both operator-overloading (MAD project) and source-transformation (MSAD project); application of source-transformation AD Tools to problems in computational engineering including CFD and structural analysis.
- FastOpt, Germany
- Friedrich Schiller University Jena, Germany
Theory, application, and tool development.
- Humboldt University, Berlin, Germany
,Treeverse / Revolve
- INRIA Sophia Antipolis, France
We study software tools for analysis and transformation of scientific
programs. Our main focus is Automatic Differentiation, for which we
study new strategies, essentially for the reverse mode. We investigate
applications of compilers and parallelizers techniques into A.D. We
develop and distribute an A.D. tool, TAPENADE (the successor of Odyssee)
- Marquette University, USA
- Massachusetts Institute of Technology, USA
- Rice University, USA
- RWTH Aachen University (SC), Germany
Tool development, large-scale applications, parallel computing
- RWTH Aachen University (STCE), Germany
Algorithms and Combinatorics in AD
NAGWare Fortran 95
- Technische Universitšt Darmstadt, Germany
Theory, tool development, and applications.
- The Taylor Center
The Taylor Center represents both a particular SOFTWARE, the THEORY surrounding it, and the community of interested researchers.
The SOFTWARE is an advanced ODE solver called the Taylor Center. The solver is an All-in-One GUI application for Windows implementing the modern Taylor integration method (Automatic Differentiation) in a multi-functional user friendly environment with unique features such as graphing and real time animation of the trajectories in 2D and 3D stereo.
The THEORY in the foundation of the method unifies the classical concept of elementary functions, Automatic Differentiation, the Taylor Method for integration of ODEs, analytic continuation, and the new type of the special points in holomorphic functions: The so called unremovable "removable" singularities. However there is an open question in this theory, the Conjecture remaining unsolved since 2004. Due to the nature of its claim, the Conjecture affects the ways of definition of general elementary functions and therefore the outline of the entire theory. Thus, as an organization, the Taylor Center seeks attention of the mathematical community in order to sooner close the gap in this otherwise comprehensive theory.
- University of Hertfordshire, UK
- University of Paderborn, Germany
,Treeverse / Revolve
- University of Waterloo, Canada
- vivlabs LLC, USA