10 citations · 12 across the 6 of their papers we have counts for
6 papers
Coupled cluster theory: Towards an algebraic geometry formulation
Fabian M. Faulstich, Mathias Oster
Coupled cluster theory produced arguably the most widely used high-accuracy computational quantum chemistry methods. Despite the approach's overall great computational success, its…
Some suggestions concerning the conjecture in: 'Tractable semi-algebraic approximation using Christoffel-Darboux kernel'
Mathias Oster, Reinhold Schneider
In 'Tractable semi-algebraic approximation using Christoffel-Darboux kernel' Marx, Pauwels, Weisser, Henrion and Lasserre conjectured, that the approximation rate $\mathcal O(\frac…
Re-entrant tensegrity: A three-periodic, chiral, tensegrity structure that is auxetic
Mathias Oster, Marcelo A. Dias, Timo de Wolff +1
We present a three-periodic, chiral, tensegrity structure and demonstrate that it is auxetic. Our tensegrity structure is constructed using the chiral symmetry Π+ cylinder packing,…
Approximating optimal feedback controllers of finite horizon control problems using hierarchical tensor formats
Mathias Oster, Leon Sallandt, Reinhold Schneider
Controlling systems of ordinary differential equations (ODEs) is ubiquitous in science and engineering. For finding an optimal feedback controller, the value function and associate…
Approximative Policy Iteration for Exit Time Feedback Control Problems driven by Stochastic Differential Equations using Tensor Train format
Konstantin Fackeldey, Mathias Oster, Leon Sallandt +1
We consider a stochastic optimal exit time feedback control problem. The Bellman equation is solved approximatively via the Policy Iteration algorithm on a polynomial ansatz space…
Approximating the Stationary Bellman Equation by Hierarchical Tensor Products
Mathias Oster, Leon Sallandt, Reinhold Schneider
We treat infinite horizon optimal control problems by solving the associated stationary Hamilton-Jacobi-Bellman (HJB) equation numerically to compute the value function and an opti…