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Automatic differentiation (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Automatic differentiation" in English language version.

refsWebsite
Global rank English rank
15doi.org
2nd place
2nd place
7semanticscholar.org
11th place
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2psu.edu
207th place
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1davidson.edu
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1jmlr.org
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1creativecommons.org
1,010th place
612th place
1nih.gov
4th place
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1gwdg.de
low place
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1harvard.edu
18th place
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1handle.net
102nd place
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1github.com
383rd place
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creativecommons.org

  •  This article incorporates text by Dawood and Megahed available under the CC BY-SA 4.0 license.

davidson.edu

academics.davidson.edu

  • Neidinger, Richard D. (2010). "Introduction to Automatic Differentiation and MATLAB Object-Oriented Programming" (PDF). SIAM Review. 52 (3): 545–563. CiteSeerX 10.1.1.362.6580. doi:10.1137/080743627. S2CID 17134969.

doi.org

  • Neidinger, Richard D. (2010). "Introduction to Automatic Differentiation and MATLAB Object-Oriented Programming" (PDF). SIAM Review. 52 (3): 545–563. CiteSeerX 10.1.1.362.6580. doi:10.1137/080743627. S2CID 17134969.
  • Hend Dawood and Nefertiti Megahed (2023). Automatic differentiation of uncertainties: an interval computational differentiation for first and higher derivatives with implementation. PeerJ Computer Science 9:e1301 https://doi.org/10.7717/peerj-cs.1301.
  • Hend Dawood and Nefertiti Megahed (2019). A Consistent and Categorical Axiomatization of Differentiation Arithmetic Applicable to First and Higher Order Derivatives. Punjab University Journal of Mathematics. 51(11). pp. 77-100. doi: 10.5281/zenodo.3479546. http://doi.org/10.5281/zenodo.3479546.
  • Hend Dawood and Yasser Dawood (2022). Interval Root Finding and Interval Polynomials: Methods and Applications in Science and Engineering. In S. Chakraverty, editor, Polynomial Paradigms: Trends and Applications in Science and Engineering, chapter 15. IOP Publishing. ISBN 978-0-7503-5065-5. doi: 10.1088/978-0-7503-5067-9ch15. URL https://doi.org/10.1088/978-0-7503-5067-9ch15.
  • Hend Dawood (2022). InCLosure (Interval enCLosure)–A Language and Environment for Reliable Scientific Computing. Computer Software, Version 4.0. Department of Mathematics. Faculty of Science, Cairo University, Giza, Egypt, September 2022. url: https://doi.org/10.5281/zenodo.2702404.
  • Christian P. Fries (2019). Stochastic Automatic Differentiation: Automatic Differentiation for Monte-Carlo Simulations. Quantitative Finance, 19(6):1043–1059. doi: 10.1080/14697688.2018.1556398. url: https://doi.org/10.1080/14697688.2018.1556398.
  • Hend Dawood and Yasser Dawood (2020). Universal Intervals: Towards a Dependency-Aware Interval Algebra. In S. Chakraverty, editor, Mathematical Methods in Interdisciplinary Sciences. chapter 10, pages 167–214. John Wiley & Sons, Hoboken, New Jersey. ISBN 978-1-119-58550-3. doi: 10.1002/9781119585640.ch10. url: https://doi.org/10.1002/9781119585640.ch10.
  • R.E. Wengert (1964). "A simple automatic derivative evaluation program". Comm. ACM. 7 (8): 463–464. doi:10.1145/355586.364791. S2CID 24039274.
  • Griewank, Andreas (2012). "Who Invented the Reverse Mode of Differentiation?" (PDF). Optimization Stories, Documenta Matematica. Documenta Mathematica Series. Extra Volume ISMP: 389–400. doi:10.4171/dms/6/38. ISBN 978-3-936609-58-5.
  • Linnainmaa, Seppo (1976). "Taylor Expansion of the Accumulated Rounding Error". BIT Numerical Mathematics. 16 (2): 146–160. doi:10.1007/BF01931367. S2CID 122357351.
  • Maximilian E. Schüle, Maximilian Springer, Alfons Kemper, Thomas Neumann (2022). "LLVM code optimisation for automatic differentiation". Proceedings of the Sixth Workshop on Data Management for End-To-End Machine Learning. pp. 1–4. doi:10.1145/3533028.3533302. ISBN 9781450393751. S2CID 248853034.{{cite book}}: CS1 maint: multiple names: authors list (link)
  • Bartholomew-Biggs, Michael; Brown, Steven; Christianson, Bruce; Dixon, Laurence (2000). "Automatic differentiation of algorithms". Journal of Computational and Applied Mathematics. 124 (1–2): 171–190. Bibcode:2000JCoAM.124..171B. doi:10.1016/S0377-0427(00)00422-2. hdl:2299/3010.
  • Maximilian E. Schüle, Harald Lang, Maximilian Springer, Alfons Kemper, Thomas Neumann, Stephan Günnemann (2021). "In-Database Machine Learning with SQL on GPUs". 33rd International Conference on Scientific and Statistical Database Management. pp. 25–36. doi:10.1145/3468791.3468840. ISBN 9781450384131. S2CID 235386969.{{cite book}}: CS1 maint: multiple names: authors list (link)
  • Maximilian E. Schüle, Harald Lang, Maximilian Springer, Alfons Kemper, Thomas Neumann, Stephan Günnemann (2022). "Recursive SQL and GPU-support for in-database machine learning". Distributed and Parallel Databases. 40 (2–3): 205–259. doi:10.1007/s10619-022-07417-7. S2CID 250412395.{{cite journal}}: CS1 maint: multiple names: authors list (link)
  • Naumann, Uwe (April 2008). "Optimal Jacobian accumulation is NP-complete". Mathematical Programming. 112 (2): 427–441. CiteSeerX 10.1.1.320.5665. doi:10.1007/s10107-006-0042-z. S2CID 30219572.

github.com

gwdg.de

ftp.gwdg.de

handle.net

hdl.handle.net

harvard.edu

ui.adsabs.harvard.edu

jmlr.org

nih.gov

pmc.ncbi.nlm.nih.gov

  •  This article incorporates text by Dawood and Megahed available under the CC BY-SA 4.0 license.

psu.edu

citeseerx.ist.psu.edu

  • Neidinger, Richard D. (2010). "Introduction to Automatic Differentiation and MATLAB Object-Oriented Programming" (PDF). SIAM Review. 52 (3): 545–563. CiteSeerX 10.1.1.362.6580. doi:10.1137/080743627. S2CID 17134969.
  • Naumann, Uwe (April 2008). "Optimal Jacobian accumulation is NP-complete". Mathematical Programming. 112 (2): 427–441. CiteSeerX 10.1.1.320.5665. doi:10.1007/s10107-006-0042-z. S2CID 30219572.

semanticscholar.org

api.semanticscholar.org

  • Neidinger, Richard D. (2010). "Introduction to Automatic Differentiation and MATLAB Object-Oriented Programming" (PDF). SIAM Review. 52 (3): 545–563. CiteSeerX 10.1.1.362.6580. doi:10.1137/080743627. S2CID 17134969.
  • R.E. Wengert (1964). "A simple automatic derivative evaluation program". Comm. ACM. 7 (8): 463–464. doi:10.1145/355586.364791. S2CID 24039274.
  • Linnainmaa, Seppo (1976). "Taylor Expansion of the Accumulated Rounding Error". BIT Numerical Mathematics. 16 (2): 146–160. doi:10.1007/BF01931367. S2CID 122357351.
  • Maximilian E. Schüle, Maximilian Springer, Alfons Kemper, Thomas Neumann (2022). "LLVM code optimisation for automatic differentiation". Proceedings of the Sixth Workshop on Data Management for End-To-End Machine Learning. pp. 1–4. doi:10.1145/3533028.3533302. ISBN 9781450393751. S2CID 248853034.{{cite book}}: CS1 maint: multiple names: authors list (link)
  • Maximilian E. Schüle, Harald Lang, Maximilian Springer, Alfons Kemper, Thomas Neumann, Stephan Günnemann (2021). "In-Database Machine Learning with SQL on GPUs". 33rd International Conference on Scientific and Statistical Database Management. pp. 25–36. doi:10.1145/3468791.3468840. ISBN 9781450384131. S2CID 235386969.{{cite book}}: CS1 maint: multiple names: authors list (link)
  • Maximilian E. Schüle, Harald Lang, Maximilian Springer, Alfons Kemper, Thomas Neumann, Stephan Günnemann (2022). "Recursive SQL and GPU-support for in-database machine learning". Distributed and Parallel Databases. 40 (2–3): 205–259. doi:10.1007/s10619-022-07417-7. S2CID 250412395.{{cite journal}}: CS1 maint: multiple names: authors list (link)
  • Naumann, Uwe (April 2008). "Optimal Jacobian accumulation is NP-complete". Mathematical Programming. 112 (2): 427–441. CiteSeerX 10.1.1.320.5665. doi:10.1007/s10107-006-0042-z. S2CID 30219572.