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» Functional Differentiation of Computer Programs
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ICFP
1998
ACM
13 years 10 months ago
Functional Differentiation of Computer Programs
We present a purely functional implementation of the computational differentiation tools — the well known numeric (i.e., not symbolic) techniques which permit one to compute poin...
Jerzy Karczmarczuk
IPPS
1998
IEEE
13 years 10 months ago
Automatic Differentiation for Message-Passing Parallel Programs
Many applications require the derivatives of functions defined by computer programs. Automatic differentiation (AD) is a means of developing code to compute the derivatives of com...
Paul D. Hovland, Christian H. Bischof
ICFP
2003
ACM
14 years 5 months ago
Functional automatic differentiation with dirac impulses
Functional Reactive Programming (FRP) is a framework for reactive programming in a functional setting. FRP has been applied to a number of domains, such as graphical animation, gr...
Henrik Nilsson
CADE
2008
Springer
14 years 6 months ago
Proving Bounds on Real-Valued Functions with Computations
Interval-based methods are commonly used for computing numerical bounds on expressions and proving inequalities on real numbers. Yet they are hardly used in proof assistants, as th...
Guillaume Melquiond
TEC
2008
139views more  TEC 2008»
13 years 5 months ago
Genetic Programming Approaches for Solving Elliptic Partial Differential Equations
In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation pr...
Andras Sobester, Prasanth B. Nair, Andy J. Keane