Automatic Differentiation with Higher Infinitesimals, or Computational Smooth Infinitesimal Analysis in Weil Algebra

Computer Algebra in Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-030-85165-1_11 ◽

2021 ◽

pp. 174-191

Author(s):

Hiromi Ishii

Keyword(s):

Automatic Differentiation ◽

Weil Algebra ◽

Infinitesimal Analysis

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A Primer of Infinitesimal Analysis

10.1017/cbo9780511619625 ◽

2008 ◽

Cited By ~ 23

Author(s):

John L. Bell

Keyword(s):

Infinitesimal Analysis

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Automatic differentiation for more efficient multidisciplinary design analysis and optimization

10.2514/6.1996-4117 ◽

1996 ◽

Author(s):

B. Wujek ◽

J. Renaud

Keyword(s):

Automatic Differentiation ◽

Design Analysis ◽

Multidisciplinary Design

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Automatic Type Tracking: Operator Result Type Priority and Applications in Algorithmic Differentiation (with Examples from Mathematical Finance using Stochastic Automatic Differentiation)

SSRN Electronic Journal ◽

10.2139/ssrn.3246127 ◽

2018 ◽

Author(s):

Christian P. Fries

Keyword(s):

Automatic Differentiation ◽

Mathematical Finance ◽

Algorithmic Differentiation

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Algorithm of Automatic Differentiation of Myocardial Infarction from Cardiomyopathy based on Electrocardiogram

2020 IEEE 14th International Conference on Application of Information and Communication Technologies (AICT) ◽

10.1109/aict50176.2020.9368738 ◽

2020 ◽

Author(s):

Rashid Nasimov ◽

Bakhodir Muminov ◽

Sanjar Mirzahalilov ◽

Nigorakhon Nasimova

Keyword(s):

Myocardial Infarction ◽

Automatic Differentiation

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Development of a sensitivity derivative version of the FPX CFD code via automatic differentiation

Advances in Engineering Software ◽

10.1016/s0965-9978(98)00079-9 ◽

1999 ◽

Vol 30 (4) ◽

pp. 273-279 ◽

Cited By ~ 1

Author(s):

Hong Hu

Keyword(s):

Automatic Differentiation ◽

Sensitivity Derivative

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A novel artificial intelligence approach for the automatic differentiation of fetal occiput anterior and non‐occiput anterior positions during labor

Ultrasound in Obstetrics and Gynecology ◽

10.1002/uog.23739 ◽

2021 ◽

Author(s):

T. Ghi ◽

F. Conversano ◽

R. Ramirez Zegarra ◽

P. Pisani ◽

A. Dall′Asta ◽

...

Keyword(s):

Artificial Intelligence ◽

Automatic Differentiation ◽

Intelligence Approach ◽

Artificial Intelligence Approach

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Automatic differentiation in prose

ACM SIGNUM Newsletter ◽

10.1145/24680.24681 ◽

1987 ◽

Vol 22 (1) ◽

pp. 2-8 ◽

Cited By ~ 4

Author(s):

F W Pfeiffer

Keyword(s):

Automatic Differentiation

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Automatic differentiation using almost any language

ACM SIGNUM Newsletter ◽

10.1145/1057967.1057968 ◽

1989 ◽

Vol 24 (1) ◽

pp. 2-10 ◽

Cited By ~ 9

Author(s):

Max E. Jerrell

Keyword(s):

Automatic Differentiation

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Optimization of the volume-to-point heat conduction problem with automatic differentiation based approach

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2021.121552 ◽

2021 ◽

Vol 177 ◽

pp. 121552

Author(s):

Mengxuan Song ◽

Kai Chen ◽

Xing Zhang

Keyword(s):

Heat Conduction ◽

Automatic Differentiation ◽

Heat Conduction Problem

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Towards shape optimisation of fluid flows using lattice Boltzmann methods and automatic differentiation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.02.016 ◽

2021 ◽

Vol 90 ◽

pp. 46-54

Author(s):

Asher Zarth ◽

Fabian Klemens ◽

Gudrun Thäter ◽

Mathias J. Krause

Keyword(s):

Lattice Boltzmann ◽

Automatic Differentiation ◽

Fluid Flows ◽

Shape Optimisation ◽

Lattice Boltzmann Methods

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