1 citations · 1 across the 9 of their papers we have counts for
9 papers
On Runge-Kutta convolution quadrature based fractional variational integrators
Khaled Hariz Belgacem, Sina Ober-BlÖbaum, Fernando JimÉnez
Lagrangian systems subject to fractional damping can be incorporated into a variational framework by doubling the state variables and introducing fractional derivatives. Fractional…
A new Lagrangian approach to optimal control of second-order systems
Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya +2
In this work, we propose and study a new approach to formulate the optimal control problem of second-order differential equations, with a particular interest in those derived from…
Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term
Michael Konopik, Rodrigo T. Sato Martín de Almagro, Sofya Maslovskaya +2
In this work, we analyse the discretisation of a recently proposed new Lagrangian approach to optimal control problems of affine-controlled second-order differential equations with…
Adaptive higher order reversible integrators for memory efficient deep learning
Sofya Maslovskaya, Sina Ober-Blöbaum, Christian Offen +2
The depth of networks plays a crucial role in the effectiveness of deep learning. However, the memory requirement for backpropagation scales linearly with the number of layers, whi…
Commutator-free Cayley methods
Boris Wembe, Christian Offen, Sofya Maslovskaya +2
Differential equations posed on quadratic matrix Lie groups arise in the context of classical mechanics and quantum dynamical systems. Lie group numerical integrators preserve the…
Trim turnpikes for optimal control problems with symmetries
Kathrin Flaßkamp, Sofya Maslovskaya, Sina Ober-Blöbaum +1
Motivated by mechanical systems with symmetries, we focus on optimal control problems possessing symmetries. Following recent works, which generalized the classical concept of stat…