Automatic differentiation in machine learning: a survey

AG Baydin, BA Pearlmutter, AA Radul… - Journal of machine …, 2018 - jmlr.org
Derivatives, mostly in the form of gradients and Hessians, are ubiquitous in machine
learning. Automatic differentiation (AD), also called algorithmic differentiation or simply" auto …

From linear to nonlinear MPC: bridging the gap via the real-time iteration

S Gros, M Zanon, R Quirynen… - International Journal of …, 2020 - Taylor & Francis
Linear model predictive control (MPC) can be currently deployed at outstanding speeds,
thanks to recent progress in algorithms for solving online the underlying structured quadratic …

Jax md: a framework for differentiable physics

S Schoenholz, ED Cubuk - Advances in Neural Information …, 2020 - proceedings.neurips.cc
We introduce JAX MD, a software package for performing differentiable physics simulations
with a focus on molecular dynamics. JAX MD includes a number of statistical physics …

Convergence of the forward-backward sweep method in optimal control

M McAsey, L Mou, W Han - Computational Optimization and Applications, 2012 - Springer
Abstract The Forward-Backward Sweep Method is a numerical technique for solving optimal
control problems. The technique is one of the indirect methods in which the differential …

Variational data assimilation for transient blood flow simulations: Cerebral aneurysms as an illustrative example

SW Funke, M Nordaas, Ø Evju… - … journal for numerical …, 2019 - Wiley Online Library
Several cardiovascular diseases are caused from localised abnormal blood flow such as in
the case of stenosis or aneurysms. Prevailing theories propose that the development is …

Adjoint formulation and constraint handling for gradient-based optimization of compositional reservoir flow

D Kourounis, LJ Durlofsky, JD Jansen… - Computational …, 2014 - Springer
An adjoint formulation for the gradient-based optimization of oil–gas compositional reservoir
simulation problems is presented. The method is implemented within an automatic …

Jax md: End-to-end differentiable, hardware accelerated, molecular dynamics in pure python

SS Schoenholz, ED Cubuk - 2019 - openreview.net
A large fraction of computational science involves simulating the dynamics of particles that
interact via pairwise or many-body interactions. These simulations, called Molecular …

JAX, MD A framework for differentiable physics

SS Schoenholz, ED Cubuk - Journal of Statistical Mechanics …, 2021 - iopscience.iop.org
We introduce JAX MD, a software package for performing differentiable physics simulations
with a focus on molecular dynamics. JAX MD includes a number of physics simulation …

Optimized finite-build stellarator coils using automatic differentiation

N McGreivy, SR Hudson, C Zhu - Nuclear Fusion, 2021 - iopscience.iop.org
A new stellarator coil design code is introduced that optimizes the position and winding pack
orientation of finite-build coils. The new code, called flexible optimized curves in space using …

Extreme event quantification in dynamical systems with random components

G Dematteis, T Grafke, E Vanden-Eijnden - SIAM/ASA Journal on Uncertainty …, 2019 - SIAM
A central problem in uncertainty quantification is how to characterize the impact that our
incomplete knowledge about models has on the predictions we make from them. This …