Automatic differentiation : techniques and applications / by 398235 Rall, Louis B.

Inverse Hamiltonian design by automatic differentiation by Koji Inui, Yukitoshi Motome

“…Here, the authors present a general theoretical framework based on the inverse problem that uses automatic differentiation to construct a Hamiltonian with the desired physical properties.…”
Get full text

Automatic differentiable numerical renormalization group by Jonas B. Rigo, Andrew K. Mitchell

“…This is achieved efficiently within the differentiable programming paradigm, which utilizes automatic differentiation (AD) of each step of a computer program and the chain rule. …”
Get full text

Optimization of a Micromixer with Automatic Differentiation by Julius Jeßberger, Jan E. Marquardt, Luca Heim, Jakob Mangold, Fedor Bukreev, Mathias J. Krause

Subjects: Get full text

Wave-function positivization via automatic differentiation by Giacomo Torlai, Juan Carrasquilla, Matthew T. Fishman, Roger G. Melko, Matthew P. A. Fisher

“…The optimization of the gates is performed through automatic differentiation algorithms, widely used in the machine learning community. …”
Get full text

Automatic differentiable Monte Carlo: Theory and application by Shi-Xin Zhang, Zhou-Quan Wan, Hong Yao

“…Here we present the general theory enabling infinite-order automatic differentiation on expectations computed by Monte Carlo with unnormalized probability distributions, which we call automatic differentiable Monte Carlo (ADMC). …”
Get full text

Higher-Order Automatic Differentiation and Its Applications by Tan, Songchen

“…Differentiable programming is a new paradigm for modeling and optimization in many fields of science and engineering, and automatic differentiation (AD) algorithms are at the heart of differentiable programming. …”
Get full text
Get full text

Automatic differentiation in machine learning: A survey by Baydin, AG, Pearlmutter, BA, Radul, AA, Siskind, JM

“…Derivatives, mostly in the form of gradients and Hessians, are ubiquitous in machine learning. Automatic differentiation (AD), also called algorithmic differentiation or simply “autodiff”, is a family of techniques similar to but more general than backpropagation for efficiently and accurately evaluating derivatives of numeric functions expressed as computer programs. …”

Quantum Optimal Control via Semi-Automatic Differentiation by Michael H. Goerz, Sebastián C. Carrasco, Vladimir S. Malinovsky

“…We develop a framework of "semi-automatic differentiation" that combines existing gradient-based methods of quantum optimal control with automatic differentiation. …”
Get full text

Smoothing Methods for Automatic Differentiation Across Conditional Branches by Justin N. Kreikemeyer, Philipp Andelfinger

Subjects: “…Automatic differentiation…”
Get full text

Higher Order Automatic Differentiation of Higher Order Functions by Mathieu Huot, Sam Staton, Matthijs Vákár

“…We present semantic correctness proofs of automatic differentiation (AD). We consider a forward-mode AD method on a higher order language with algebraic data types, and we characterise it as the unique structure preserving macro given a choice of derivatives for basic operations. …”
Get full text

Automatic differentiation and the optimization of differential equation models in biology by Steven A. Frank

Subjects: “…automatic differentiation…”
Get full text

Optimal Control of Nonequilibrium Systems through Automatic Differentiation by Megan C. Engel, Jamie A. Smith, Michael P. Brenner

“…Algorithms based on automatic differentiation outperform the near-equilibrium theory for far-from-equilibrium magnetization reversal and for driven barrier crossing beyond the linear regime. …”
Get full text

Correctness of automatic differentiation via diffeologies and categorical gluing by Huot, M, Staton, S, Vákár, M

“…We present semantic correctness proofs of Automatic Differentiation (AD). We consider a forward-mode AD method on a higher order language with algebraic data types, and we characterise it as the unique structure preserving macro given a choice of derivatives for basic operations. …”

Using Automatic Differentiation for Adjoint CFD Code Development by Giles, M, Ghate, D, Duta, M

“…It discusses how the development of such a code can be greatly eased through the selective use of Automatic Differentiation, and how the software development can be subjected to a sequence of checks to ensure the correctness of the final software.…”

Higher order automatic differentiation of higher order functions by Huot, M, Staton, S, Vákár, M

“…We present semantic correctness proofs of automatic differentiation (AD). We consider a forward-mode AD method on a higher order language with algebraic data types, and we characterise it as the unique structure preserving macro given a choice of derivatives for basic operations. …”

Mini-symposium on automatic differentiation and its applications in the financial industry by Geeraert Sébastien, Lehalle Charles-Albert, Pearlmutter Barak A., Pironneau Olivier, Reghai Adil

“…Automatic differentiation has been involved for long in applied mathematics as an alternative to finite difference to improve the accuracy of numerical computation of derivatives. …”
Get full text

Automatic Differentiation for Inverse Problems in X-ray Imaging and Microscopy by Francesco Guzzi, Alessandra Gianoncelli, Fulvio Billè, Sergio Carrato, George Kourousias

Subjects: Get full text

ADEV: Sound Automatic Differentiation of Expected Values of Probabilistic Programs by Lew, Alexander K., Huot, Mathieu, Staton, Sam, Mansinghka, Vikash K.

Get full text

Turbomachinery design optimization using automatic differentiated adjoint code by Duta, M, Shahpar, S, Giles, M

“…This paper addresses the concerns that code developers face when creating a discrete adjoint computer program for design optimization, starting from a nonlinear flow solver and using Automatic Differentiation. Adjoint code development benefits greatly from using Automatic Differentiation but at its current state of maturity, this technology is best applied selectively rather than on entire codes. …”