Zobrazeno 1 - 10
of 1 290
pro vyhledávání: '"Herty, A."'
Autor:
Redle, Michael, Herty, Michael
We consider the simulation of isentropic flow in pipelines and pipe networks. Standard operating conditions in pipe networks suggest an emphasis to simulate low Mach and high friction regimes -- however, the system is stiff in these regimes and conve
Externí odkaz:
http://arxiv.org/abs/2411.09162
We propose a variant of consensus-based optimization (CBO) algorithms, controlled-CBO, which introduces a feedback control term to improve convergence towards global minimizers of non-convex functions in multiple dimensions. The feedback law is a gra
Externí odkaz:
http://arxiv.org/abs/2411.03051
Existing theoretical stabilization results for linear, hyperbolic multi-dimensional problems are extended to the discretized multi-dimensional problems. In contrast to existing theoretical and numerical analysis in the spatially one-dimensional case
Externí odkaz:
http://arxiv.org/abs/2410.21890
Metaheuristic algorithms, widely used for solving complex non-convex and non-differentiable optimization problems, often lack a solid mathematical foundation. In this review, we explore how concepts and methods from kinetic theory can offer a potenti
Externí odkaz:
http://arxiv.org/abs/2410.10369
A novel multiscale consensus-based optimization (CBO) algorithm for solving bi- and tri-level optimization problems is introduced. Existing CBO techniques are generalized by the proposed method through the employment of multiple interacting populatio
Externí odkaz:
http://arxiv.org/abs/2407.09257
Motivated by the development of dynamics in probability spaces, we propose a novel multi-agent dynamic of consensus type where each agent is a probability measure. The agents move instantaneously towards a weighted barycenter of the ensemble accordin
Externí odkaz:
http://arxiv.org/abs/2407.06389
Autor:
Herty, Michael, Zhou, Yizhou
This work is concerned with the exponential turnpike property for optimal control problems of particle systems and their mean-field limit. Under the assumption of the strict dissipativity of the cost function, exponential estimates for both optimal s
Externí odkaz:
http://arxiv.org/abs/2406.17127
A consensus-based optimization (CBO) algorithm, which enables derivative and mesh-free optimization, is presented to localize a bioluminescent source. The light propagation is modeled by the radiative transfer equation approximated by spherical harmo
Externí odkaz:
http://arxiv.org/abs/2405.10110
We introduce local characteristic decomposition based path-conservative central-upwind schemes for (nonconservative) hyperbolic systems of balance laws. The proposed schemes are made to be well-balanced via a flux globalization approach, in which sou
Externí odkaz:
http://arxiv.org/abs/2405.01929
Autor:
Herty, Michael, Ringhofer, Christian
We consider generalizations of the classical inverse problem to Bayesien type estimators, where the result is not one optimal parameter but an optimal probability distribution in parameter space. The practical computational tool to compute these dist
Externí odkaz:
http://arxiv.org/abs/2405.01232