28 citations · 47 across the 18 of their papers we have counts for
18 papers
Differentiable Programming: Efficient Smoothing of Control-Flow-Induced Discontinuities
Sebastian Christodoulou, Uwe Naumann
We want to obtain derivatives in discontinuous program code, where default Algorithmic Differentiation may not perform well. Specifically, we consider discontinuities induced by co…
Numerical simulation of differential-algebraic equations with embedded global optimization criteria
Jens Deussen, Jonathan Hüser, Uwe Naumann
We are considering differential-algebraic equations with embedded optimization criteria (DAEOs) in which the embedded optimization problem is solved by global optimization. This ac…
A Matrix-Free Newton Method
Uwe Naumann
A modification of Newton's method for solving systems of nonlinear equations is presented. The new matrix-free method relies on a given decomposition of the invertible Jacobian…
Elimination Techniques for Algorithmic Differentiation Revisited
Uwe Naumann, Erik Schneidereit, Simon Maertens +1
All known elimination techniques for (first-order) algorithmic differentiation (AD) rely on Jacobians to be given for a set of relevant elemental functions. Realistically, elementa…
Seven open problems in applied combinatorics
Sinan G. Aksoy, Ryan Bennink, Yuzhou Chen +10
We present and discuss seven different open problems in applied combinatorics. The application areas relevant to this compilation include quantum computing, algorithmic differentia…
Reduction of the Random Access Memory Size in Adjoint Algorithmic Differentiation by Overloading
Uwe Naumann
Adjoint algorithmic differentiation by operator and function overloading is based on the interpretation of directed acyclic graphs resulting from evaluations of numerical simulatio…