A Hitchhiker's Guide to Automatic Differentiation

J. Ritt, Differential Algebra, American Mathematical Society Colloquium Publications, vol. XXXIII, American Mathematical Society, New York, 1950

1950

Earlier work this paper cites.

R. Wengert, A Simple Automatic Derivative Evaluation Program, Communications of the ACM 7 (8) (1964), 463–464

1964

Earlier work this paper cites.

F. John, Partial Differential Equations, second edition, Springer-Verlag, New York-Heidelberg-Berlin, 1975

1975

Earlier work this paper cites.

L. B. Rall, Differentiation and generation of Taylor coefficients in Pascal-SC, In: A New Approach to Scientific Computation, Academic Press, New York, 1983, 291–309

1983

Earlier work this paper cites.

L. B. Rall, The Arithmetic of Differentiation, Mathematics Magazine 59, (1986), 275–282

1986

Earlier work this paper cites.

M. Berz, Differential algebraic description of beam dynamics to very high orders, Particle Accelerators 24 (1989), 109–124

1989

Earlier work this paper cites.

A. Griewank, Achieving Logarithmic Growth of Temporal and Spatial Complexity in Reverse Automatic Differentiation, Optimization Methods and Software 1 (1992), 35–54

1992

Earlier work this paper cites.

V. Garczynski, Remarks on differential algebraic approach to particle beam optics by M. Berz, Nuclear Instruments and Methods in Physics Research Section A , 334 (2-3) (1993), 294–298

1993

Earlier work this paper cites.

C. H. Bischof. On the Automatic Differentiation of Computer Programs and an Application to Multibody Systems, IUTAM Symposium on Optimization of Mechanical Systems Solid Mechanics and its Applications 43 (1996), 41–48

1996

Earlier work this paper cites.

J. Karczmarczuk, Functional Differentiation of Computer Programs, Proc of the III ACM SIGPLAN International Conference on Functional Programming, Baltimore, MD, 1998 , 195–203

1998

Cited alongside, same era.

J. Karczmarczuk, Functional Coding of Differential Forms, Proc First Scottish Workshop on Functional Programming, Stirling, Scotland, 1999

1999

Cited alongside, same era.

J. Karczmarczuk, Functional Differentiation of Computer Programs, Higher-Order and Symbolic Computation 14 (1) (2001), 35–57

2001

Cited alongside, same era.

D. Kalman, Double Recursive Multivariate Automatic Differentiation, Mathematics Magazine 75 (3) (2002), 187–202

2002

Cited alongside, same era.

S. Lang, Introduction to Differentiable Manifolds, second edition, Springer-Verlag, New York-Heidelberg-Berlin, 2002

2002

Cited alongside, same era.

B. A. Pearlmutter and J. M. Siskind, Reverse-Mode AD in a Functional Framework: Lambda the Ultimate Backpropagator, TOPLAS 30 (2) (2008), 1–36

2008

Later among the works it cites.

J. M. Siskind and B. A. Pearlmutter, Nesting Forward-Mode AD in a Functional Framework, Higher-Order and Symbolic Computation 21 (4) (2008),361–376

2008

Later among the works it cites.

L. Dixon, Automatic Differentiation: Calculation of the Hessian, In: Encyclopedia of Optimization, second edition, Springer Science+Business Media, LLC., 2009, 133–137

2009

Later among the works it cites.

J. H. Hubbard and B. E. Lundell, A First Look at Differential Algebra, American Mathematical Monthly 118 (3) (2011), 245–261

2011

Later among the works it cites.

R. M. Gower, M. P. Mello, A new framework for the computation of Hessians, Optimization Methods and Software 27 (2) (2012), 251–273

2012