mirror of
https://github.com/marian-nmt/marian.git
synced 2024-11-27 10:33:14 +03:00
Added more references
This commit is contained in:
parent
0d623adc87
commit
1623eb19e8
@ -24,3 +24,105 @@
|
||||
month = {May},
|
||||
year = {2016}
|
||||
}
|
||||
|
||||
@INCOLLECTION{
|
||||
Kearfott1996ADo,
|
||||
author = "R. Baker Kearfott",
|
||||
editor = "Martin Berz and Christian Bischof and George Corliss and Andreas Griewank",
|
||||
title = "Automatic Differentiation of Conditional Branches in an Operator Overloading Context",
|
||||
booktitle = "Computational Differentiation: Techniques, Applications, and Tools",
|
||||
pages = "75--81",
|
||||
publisher = "SIAM",
|
||||
address = "Philadelphia, PA",
|
||||
key = "Kearfott1996ADo",
|
||||
crossref = "Berz1996CDT",
|
||||
abstract = "In the past, it has been problematical to include {\tt IF-THEN-ELSE} branches
|
||||
in automatic differentiation processes driven by operator overloading and code list generation, when
|
||||
the branch condition contains variables. However, this problem can be circumvented with a special
|
||||
``branch function'' $\chi$. Definition of this function, formulas for its use, and
|
||||
implications of its use will be discussed. A second issue is: what can be done when derivatives are
|
||||
discontinuous? In fact, simple and meaningful Newton iterations can be set up when even the function
|
||||
itself is discontinuous. Simplified figures and examples are given, as well as references to
|
||||
in-depth explanations. An example of the convergence behavior is given with an interval Newton
|
||||
method to find critical points for the problem ``$\min |x|$.''",
|
||||
keywords = "Conditional branches, operator overloading, branch function, discontinuous
|
||||
derivatives.",
|
||||
referred = "[Berz2002TaU], [Dignath2002AAa].",
|
||||
year = "1996"
|
||||
}
|
||||
|
||||
@INCOLLECTION{
|
||||
Tadjouddine2005ItP,
|
||||
author = "Mohamed Tadjouddine and Frances Bodman and John D. Pryce and Shaun A. Forth",
|
||||
title = "Improving the Performance of the Vertex Elimination Algorithm for Derivative
|
||||
Calculation",
|
||||
editor = "H. M. B{\"u}cker and G. Corliss and P. Hovland and U. Naumann and B.
|
||||
Norris",
|
||||
booktitle = "Automatic Differentiation: {A}pplications, Theory, and Implementations",
|
||||
series = "Lecture Notes in Computational Science and Engineering",
|
||||
publisher = "Springer",
|
||||
year = "2005",
|
||||
abstract = "In previous work [TOMS, 2004, 30(3), 266--299], we used Markowitz-like heuristics
|
||||
to find elimination sequences that minimise the number of floating-point operations (flops) for
|
||||
vertex elimination Jacobian code. We also used the depth-first traversal algorithm to reorder the
|
||||
statements of the Jacobian code with the aim of reducing the number of memory accesses. In this
|
||||
work, we study the effects of reducing flops or memory accesses within the vertex elimination
|
||||
algorithm for Jacobian calculation. On RISC processors, we observed that for data residing in
|
||||
registers, the number of flops gives a good estimate of the execution time, while for
|
||||
out-of-register data, the execution time is dominated by the time for memory access operations. We
|
||||
also present a statement reordering scheme based on a greedy list scheduling algorithm using ranking
|
||||
functions. This statement reordering will enable us to trade off the exploitation of the instruction
|
||||
level parallelism of such processors with the reduction in memory accesses.",
|
||||
crossref = "Bucker2005ADA",
|
||||
ad_tools = "EliAD",
|
||||
ad_theotech = "X-Country",
|
||||
pages = "111--120",
|
||||
doi = "10.1007/3-540-28438-9_10"
|
||||
}
|
||||
|
||||
@ARTICLE{
|
||||
Tadjouddine2008VoA,
|
||||
author = "Tadjouddine, E. M.",
|
||||
title = "{Vertex-ordering Algorithms for Automatic Differentiation of Computer Codes}",
|
||||
journal = "The Computer Journal",
|
||||
volume = "51",
|
||||
number = "6",
|
||||
pages = "688--699",
|
||||
doi = "10.1093/comjnl/bxm115",
|
||||
year = "2008",
|
||||
abstract = "In the context of Automatic Differentiation (AD) of functions represented by
|
||||
computer code via the vertex elimination approach first advocated by Griewank and Reese (On the
|
||||
Calculation of Jacobian Matrices by the Markowitz Rule. In Griewank, A. and Corliss, G.F. (eds),
|
||||
Automatic Differentiation of Algorithms: Theory, Implementation and Application, pp. 126-135. SIAM,
|
||||
1991, Philadelphia, PA.), we present two approximate algorithms based on the linearized
|
||||
computational graph of the input code. The first is a statement-reordering algorithm aiming to tune
|
||||
the AD-generated code so as to maximize its performance for modern superscalar processors. The
|
||||
second is aimed at detecting interface contractions introduced by Bischof and Haghighat
|
||||
(Hierarchical Approaches to Automatic Differentiation. In Berz, M., Bischof, C., Corliss, G. and
|
||||
Griewank, A. (eds), Computational Differentiation: Techniques, Applications, and Tools, pp. 83-94.
|
||||
SIAM, 1996, Philadelphia, PA) in order to enable exploitation of the structure of the input code in
|
||||
the differentiation process. Performance data are also presented.",
|
||||
url = "http://comjnl.oxfordjournals.org/cgi/content/abstract/51/6/688",
|
||||
eprint = "http://comjnl.oxfordjournals.org/cgi/reprint/51/6/688.pdf",
|
||||
ad_theotech = "Hierarchical Approach"
|
||||
}
|
||||
|
||||
@INCOLLECTION{
|
||||
Griewank1991OtC,
|
||||
author = "Andreas Griewank and Shawn Reese",
|
||||
editor = "Andreas Griewank and George F. Corliss",
|
||||
title = "On the Calculation of {J}acobian Matrices by the {M}arkowitz Rule",
|
||||
booktitle = "Automatic Differentiation of Algorithms: Theory, Implementation, and Application",
|
||||
pages = "126--135",
|
||||
publisher = "SIAM",
|
||||
address = "Philadelphia, PA",
|
||||
key = "Griewank1991OtC",
|
||||
crossref = "Griewank1991ADo",
|
||||
comment = "Also appeared as Preprint MCS--P267--1091, Mathematics and Computer Science
|
||||
Division, Argonne National Laboratory, Argonne, Ill., January 1992.",
|
||||
referred = "[Bischof1996HAt], [Corl91a]; [Feehery1996ADB], [Irim91a], [Naumann2002ETf],
|
||||
[Tadjouddine2001ATa].",
|
||||
isbn = "0--89871--284--X",
|
||||
year = "1991",
|
||||
ad_theotech = "X-Country"
|
||||
}
|
||||
|
Loading…
Reference in New Issue
Block a user