4 papers
A Comprehensive Evaluation of Vertex Elimination Algorithms for Algorithmic Differentiation
Alex Crane, Pål Grønås Drange, Eli Friedman +6
The algorithmic differentiation (AD) of mathematical functions can be interpreted as a sequence of vertex eliminations in an underlying directed acyclic graph. The problem of deter…
MITgcm-AD v2: Open source tangent linear and adjoint modeling framework for the oceans and atmosphere enabled by the Automatic Differentiation tool Tapenade
Shreyas Sunil Gaikwad, Sri Hari Krishna Narayanan, Laurent Hascoet +6
The Massachusetts Institute of Technology General Circulation Model (MITgcm) is widely used by the climate science community to simulate planetary atmosphere and ocean circulations…
Challenges with Differentiable Quantum Dynamics
Sri Hari Krishna Narayanan, Michael Perlin, Robert Lewis-Swan +4
Differentiable quantum dynamics require automatic differentiation of a complex-valued initial value problem, which numerically integrates a system of ordinary differential equation…
Differentiating Through Linear Solvers
Paul Hovland, Jan Hückelheim
Computer programs containing calls to linear solvers are a known challenge for automatic differentiation. Previous publications advise against differentiating through the low-level…