Perturbation confusion in forward automatic differentiation of higher-order functions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Programming"
DOI: 10.1017/s095679681900008x
Abstract: Abstract Automatic differentiation (AD) is a technique for augmenting computer programs to compute derivatives. The essence of AD in its forward accumulation mode is to attach perturbations to each number, and propagate these through the… read more here.
Keywords: order; order functions; automatic differentiation; higher order ... See more keywords
Automatic Differentiation in Quantum Chemistry with Applications to Fully Variational Hartree–Fock
Sign Up to like & getrecommendations! Published in 2018 at "ACS Central Science"
DOI: 10.1021/acscentsci.7b00586
Abstract: Automatic differentiation (AD) is a powerful tool that allows calculating derivatives of implemented algorithms with respect to all of their parameters up to machine precision, without the need to explicitly add any additional functions. Thus,… read more here.
Keywords: hartree fock; quantum chemistry; chemistry; automatic differentiation ... See more keywords
Automatic Differentiation in MetaPhysicL and Its Applications in MOOSE
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DOI: 10.1080/00295450.2020.1838877
Abstract: Abstract Efficient solution via Newton’s method of nonlinear systems of equations requires an accurate representation of the Jacobian, corresponding to the derivatives of the component residual equations with respect to the degrees of freedom. In… read more here.
Keywords: metaphysicl applications; differentiation metaphysicl; applications moose; automatic differentiation ... See more keywords
Automatic differentiation of a finite-volume-based transient heat conduction code for sensitivity analysis
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Heat Transfer, Part B: Fundamentals"
DOI: 10.1080/10407790.2018.1486648
Abstract: Abstract A general method for computing derivatives of solution fields and other simulation outputs, with respect to arbitrary input quantities, is proposed. The method of automatic differentiation is used to carry out differentiation and propagate… read more here.
Keywords: differentiation finite; code; finite volume; automatic differentiation ... See more keywords
Mixed-language automatic differentiation
Sign Up to like & getrecommendations! Published in 2018 at "Optimization Methods and Software"
DOI: 10.1080/10556788.2018.1435650
Abstract: As Automatic Differentiation (AD) usage is spreading to larger and more sophisticated applications, problems arise for codes that use several programming languages. This work describes the issues involved in interoperability between languages and focuses on… read more here.
Keywords: mixed language; language automatic; language; automatic differentiation ... See more keywords
TinyAD: Automatic Differentiation in Geometry Processing Made Simple
Sign Up to like & getrecommendations! Published in 2022 at "Computer Graphics Forum"
DOI: 10.1111/cgf.14607
Abstract: Non‐linear optimization is essential to many areas of geometry processing research. However, when experimenting with different problem formulations or when prototyping new algorithms, a major practical obstacle is the need to figure out derivatives of… read more here.
Keywords: geometry processing; tinyad; automatic differentiation; geometry ... See more keywords
Estimation of Simulated Left Ventricle Elastance Using Lumped Parameter Modelling and Gradient-Based Optimization with Forward-Mode Automatic Differentiation Based on Synthetically Generated Non-Invasive Data.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of biomechanical engineering"
DOI: 10.1115/1.4055565
Abstract: Accurate estimates of left ventricle elastances based on non-invasive measurements are required for clinical decision-making during treatment of valvular diseases. The present study proposes a parameter discovery approach based on a lumped parameter model of… read more here.
Keywords: left ventricle; non invasive; automatic differentiation; ventricle ... See more keywords
Adorym: A multi-platform generic x-ray image reconstruction framework based on automatic differentiation
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DOI: 10.1364/oe.418296
Abstract: We describe and demonstrate an optimization-based X-ray image reconstruction framework called Adorym. Our framework provides a generic forward model, allowing one code framework to be used for a wide range of imaging methods ranging from… read more here.
Keywords: image reconstruction; ray image; reconstruction framework; automatic differentiation ... See more keywords