3 papers
cond-mat.stat-mech2026
On data-driven parameterizations of multidimensional generalized Langevin dynamics in the presence of a quadratic potential
Maximilian Braun, Martin Hanke, Niklas Wolf
We propose a numerical algorithm to construct a Markov model with an extended list of variables to parameterize the equation of motion of a multidimensional coarse-grained physical…
cond-mat.stat-mech2025
Determining extended Markov parameterizations for vector-valued generalized Langevin Equations
Niklas Bockius, Maximilian Braun, Kay Hofmann +2
The generalized Langevin equation is used as a model for various coarse-grained physical processes, e.g., the time evolution of the velocity of a given larger particle in an implic…
math.NA2025
Addendum on data driven regularization by projection
Martin Hanke, Otmar Scherzer
We study the stability of regularization by projection for solving linear inverse problems if the forward operator is given indirectly but specified via some input-output training…