Automatic differentiation in machine learning: a survey
Derivatives, mostly in the form of gradients and Hessians, are ubiquitous in machine
learning. Automatic differentiation (AD), also called algorithmic differentiation or simply" auto …
learning. Automatic differentiation (AD), also called algorithmic differentiation or simply" auto …
From linear to nonlinear MPC: bridging the gap via the real-time iteration
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 …
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 …
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 …
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
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 …
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
An adjoint formulation for the gradient-based optimization of oil–gas compositional reservoir
simulation problems is presented. The method is implemented within an automatic …
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 …
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 …
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 …
orientation of finite-build coils. The new code, called flexible optimized curves in space using …
Extreme event quantification in dynamical systems with random components
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 …
incomplete knowledge about models has on the predictions we make from them. This …