5 citations · 8 across the 11 of their papers we have counts for
12 papers
Non static exponential turnpike property for optimal control problems with symmetries and boundary conditions
Sofya Maslovskaya, Sina Ober-Blöbaum, Boris Wembe
Optimal control problems with symmetries often admit a non stationary turnpike property called trim turnpike, which characterizes the convergence of optimal solutions to certain sy…
Second order optimality conditions in a new Lagrangian formulation for optimal control problems
Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya +2
It has been shown recently that optimal control problems with the dynamical constraint given by a second order system admit a regular Lagrangian formulation. This implies that the…
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…
Inverse optimal control problem in the non autonomous linear-quadratic case
Frédéric Jean, Sofya Maslovskaya
Inverse optimal control problem emerges in different practical applications, where the goal is to design a cost function in order to approximate given optimal strategies of an expe…
Symplectic Methods in Deep Learning
Sofya Maslovskaya, Sina Ober-Blöbaum
Deep learning is widely used in tasks including image recognition and generation, in learning dynamical systems from data and many more. It is important to construct learning archi…
A new Lagrangian approach to control affine systems with a quadratic Lagrange term
Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blobaum +2
In this work, we consider optimal control problems for mechanical systems on vector spaces with fixed initial and free final state and a quadratic Lagrange term. Specifically, the…
On Weyl's type theorems and genericity of projective rigidity in sub-Riemannian Geometry
Frédéric Jean, Sofya Maslovskaya, Igor Zelenko
H. Weyl in 1921 demonstrated that for a connected manifold of dimension greater than , if two Riemannian metrics are conformal and have the same geodesics up to a reparametrizat…
On projective and affine equivalence of sub-Riemannian metrics
F. Jean, S. Maslovskaya, I. Zelenko
Consider a smooth manifold equipped with a bracket generating distribution . Two sub-Riemannian metrics on are said to be projectively (resp. affinely) equivalent if…