Covariance-modulated optimal transport and gradient flows
We study a variant of the dynamical optimal transport problem in which the energy to be
minimised is modulated by the covariance matrix of the distribution. Such transport metrics …
minimised is modulated by the covariance matrix of the distribution. Such transport metrics …
On the ensemble Kalman inversion under inequality constraints
M Hanu, S Weissmann - Inverse Problems, 2024 - iopscience.iop.org
The ensemble Kalman inversion (EKI), a recently introduced optimisation method for solving
inverse problems, is widely employed for the efficient and derivative-free estimation of …
inverse problems, is widely employed for the efficient and derivative-free estimation of …
Metropolis-adjusted interacting particle sampling
In recent years, various interacting particle samplers have been developed to sample from
complex target distributions, such as those found in Bayesian inverse problems. These …
complex target distributions, such as those found in Bayesian inverse problems. These …
Multilevel optimization for inverse problems
Inverse problems occur in a variety of parameter identification tasks in engineering. Such
problems are challenging in practice, as they require repeated evaluation of computationally …
problems are challenging in practice, as they require repeated evaluation of computationally …
Dropout Ensemble Kalman inversion for high dimensional inverse problems
Ensemble Kalman inversion (EKI) is an ensemble-based method to solve inverse problems.
Its gradient-free formulation makes it an attractive tool for problems with involved …
Its gradient-free formulation makes it an attractive tool for problems with involved …
Using systemic modeling and Bayesian calibration to investigate the role of the tumor microenvironment on chemoresistance
S Schönfeld, L Scarabosio, A Ozkan… - arXiv preprint arXiv …, 2023 - arxiv.org
Using a novel modeling approach based on the so-called environmental stress level (ESL),
we develop a mathematical model to describe systematically the collective influence of …
we develop a mathematical model to describe systematically the collective influence of …
The Fundamental Subspaces of Ensemble Kalman Inversion
Ensemble Kalman Inversion (EKI) methods are a family of iterative methods for solving
weighted least-squares problems, especially those arising in scientific and engineering …
weighted least-squares problems, especially those arising in scientific and engineering …
Ensemble Kalman inversion for image guided guide wire navigation in vascular systems
M Hanu, J Hesser, G Kanschat, J Moviglia… - Journal of Mathematics …, 2024 - Springer
This paper addresses the challenging task of guide wire navigation in cardiovascular
interventions, focusing on the parameter estimation of a guide wire system using Ensemble …
interventions, focusing on the parameter estimation of a guide wire system using Ensemble …
[PDF][PDF] Environmental stress level a mathematical modeling framework to investigate the influence of the microenvironment on tumor cell survival
C Kuttler - 2023 - mediatum.ub.tum.de
This thesis presents a novel mathematical modeling approach: the so-called environmental
stress level (ESL). It describes the collective influence of the microenvironment on the …
stress level (ESL). It describes the collective influence of the microenvironment on the …
Environmental stress level-a mathematical modeling framework to investigate the influence of the microenvironment on tumor cell survival
S Schönfeld - 2023 - mediatum.ub.tum.de
This thesis presents a novel mathematical modeling approach: the so-called environmental
stress level (ESL). It describes the collective influence of the microenvironment on the …
stress level (ESL). It describes the collective influence of the microenvironment on the …