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05/11/2023
Differentiable Programming: Efficient Smoothing of Control-Flow-Induced Discontinuities
We want to obtain derivatives in discontinuous program code, where defau...
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05/02/2023
A Matrix-Free Newton Method
A modification of Newton's method for solving systems of n nonlinear equ...
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03/20/2023
Seven open problems in applied combinatorics
We present and discuss seven different open problems in applied combinat...
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07/13/2022
Reduction of the Random Access Memory Size in Adjoint Algorithmic Differentiation by Overloading
Adjoint algorithmic differentiation by operator and function overloading...
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12/03/2021
Differentiable Scripting
In Computational Science, Engineering and Finance (CSEF) scripts typical...
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07/12/2021
On the Computational Complexity of the Chain Rule of Differential Calculus
Many modern numerical methods in computational science and engineering r...
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06/16/2021
Numerical Stability of Tangents and Adjoints of Implicit Functions
We investigate errors in tangents and adjoints of implicit functions res...
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03/17/2021
Hessian Chain Bracketing
Second derivatives of mathematical models for real-world phenomena are f...
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01/09/2021
Differential Invariants
Validation is a major challenge in differentiable programming. The state...
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07/10/2020
Algorithmic differentiation of hyperbolic flow problems
We are interested in the development of an algorithmic differentiation f...
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05/28/2020
MCMC for Bayesian uncertainty quantification from time-series data
Many problems in science and engineering require uncertainty quantificat...
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03/12/2020
Optimization of Generalized Jacobian Chain Products without Memory Constraints
The efficient computation of Jacobians represents a fundamental challeng...
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11/28/2019
Eigen-AD: Algorithmic Differentiation of the Eigen Library
In this work we present useful techniques and possible enhancements when...
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05/02/2019
