Publication: Splitting of Algebraic Expressions for Automatic Differentiation
Introduction
Applications
Tools
Research Groups
Workshops
Publications
   List Publications
   Advanced Search
   Info
   Add Publications
My Account
About

Splitting of Algebraic Expressions for Automatic Differentiation

- incollection -
 

Author(s)
Christèle Faure

Published in
Computational Differentiation: Techniques, Applications, and Tools

Editor(s)
Martin Berz, Christian Bischof, George Corliss, Andreas Griewank

Year
1996

Publisher
SIAM

Abstract
The number of products needed for the computation of a function and its first derivative is less than three times the number of essential products needed for the computation of the function itself, if each expression is split into binary subexpressions. We have implemented a split facility in Odyssée to fit this theoretical idea. Odyssée takes a set of subroutines as input and generates a new set of subroutines that compute the derivatives in forward or reverse mode. In practice, the decrease of the number of products does not lead to a decrease of run time, because current compilers do some sharing equivalent to a partial split and mismanage memory related to split variab

Cross-References
Berz1996CDT

BibTeX
@INCOLLECTION{
         Faure1996SoA,
       author = "Christ{\`e}le Faure",
       editor = "Martin Berz and Christian Bischof and George Corliss and Andreas Griewank",
       title = "Splitting of Algebraic Expressions for Automatic Differentiation",
       booktitle = "Computational Differentiation: Techniques, Applications, and Tools",
       pages = "117--127",
       publisher = "SIAM",
       address = "Philadelphia, PA",
       key = "Faure1996SoA",
       crossref = "Berz1996CDT",
       abstract = "The number of products needed for the computation of a function and its first
         derivative is less than three times the number of essential products needed for the computation of
         the function itself, if each expression is split into binary subexpressions. We have implemented a
         split facility in Odyss\'ee to fit this theoretical idea. Odyss\'ee takes a set
         of subroutines as input and generates a new set of subroutines that compute the derivatives in
         forward or reverse mode. In practice, the decrease of the number of products does not lead to a
         decrease of run time, because current compilers do some sharing equivalent to a partial split and
         mismanage memory related to split variab",
       keywords = "Complexity, split, algebraic expressions, Odyss\'ee",
       referred = "[Giles2002OtI].",
       year = "1996"
}


back
  

Contact:
autodiff.org
Username:
Password:
(lost password)