AD in Fortran, Part 1: Design

The Calculi of Lambda Conversion

Alonzo Church · 1941

Earlier work this paper cites.

Revised report on the algorithmic language ALGOL 60

J. W. Backus, F. L. Bauer, J. Green, C. Katz, J. McCarthy, P. Naur, A. J. Perlis, H. Rutishauser, K. Samelson, B. Vauquois, J. H. Wegstein, A. van Wijngaarden, and M. Woodger · 1963

Earlier work this paper cites.

A simple automatic derivative evaluation program

R. Wengert · 1964

Earlier work this paper cites.

RABBIT, a compiler for Scheme

Guy Lewis Steele, Jr · 1978

Earlier work this paper cites.

Compiling Fast Partial Derivatives of Functions Given by Algorithms

B. Speelpenning · 1980

Earlier work this paper cites.

ADIFOR: Generating derivative codes from Fortran programs

Christian H. Bischof, Alan Carle, George F. Corliss, Andreas Griewank, and Paul D. Hovland · 1992

Cited alongside, same era.

The Glasgow Haskell compiler: a technical overview

S.L.P. Jones, C. Hall, K. Hammond, W. Partain, and P. Wadler · 1993

Cited alongside, same era.

ADIC — An extensible automatic differentiation tool for ANSI-C

Christian H. Bischof, Lucas Roh, and Andrew Mauer · 1997

Cited alongside, same era.

Haskell 98 language and libraries: the revised report

Simon Peyton Jones · 2003

Cited alongside, same era.

Putting the automatic back into AD: Part I, What’s wrong

Jeffrey Mark Siskind and Barak A. Pearlmutter

Cited in the paper.

Using polyvariant union-free flow analysis to compile a higher-order functional-programming language with a first-class derivative operator to efficient Fortran-like code

Jeffrey Mark Siskind and Barak A. Pearlmutter

Cited in the paper.

TAPENADE 2.1 user’s guide

Laurent Hascoët and Valérie Pascual · 2004

Later among the works it cites.

Computing adjoints with the NAGWare Fortran 95 compiler

Uwe Naumann and Jan Riehme · 2005

Later among the works it cites.

Using programming language theory to make automatic differentiation sound and efficient

Barak A. Pearlmutter and Jeffrey Mark Siskind · 2008

Later among the works it cites.

AD in Fortran, Part 2: Implementation via prepreprocessor

Original

Alexey Radul, Barak A. Pearlmutter, and Jeffrey Mark Siskind · 2012

Closest in time.