3 papers
cs.DS2026
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…
quant-ph2024
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…
cs.MS2024
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…