Repository: Freie Universität Berlin, Math Department

Ensemble Kalman Inversion for Image Guided Guide Wire Navigation in Vascular Systems

Hanu, Matei and Hesser, Jürgen and Kanschat, Guido and Moviglia, Javier and Schillings, Claudia and Stallkamp, Jan (2023) Ensemble Kalman Inversion for Image Guided Guide Wire Navigation in Vascular Systems. arXiv . (Submitted)

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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 Kalman Inversion (EKI) with a subsampling technique. The EKI uses an ensemble of particles to estimate the unknown quantities. However since the data misfit has to be computed for each particle in each iteration, the EKI may become computationally infeasible in the case of high-dimensional data, e.g. high-resolution images. This issue can been addressed by randomised algorithms that utilize only a random subset of the data in each iteration. We introduce and analyse a subsampling technique for the EKI, which is based on a continuous-time representation of stochastic gradient methods and apply it to on the parameter estimation of our guide wire system. Numerical experiments with real data from a simplified test setting demonstrate the potential of the method.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Deterministic and Stochastic PDEs Group
ID Code:3108
Deposited By: Ulrike Eickers
Deposited On:20 Feb 2024 05:37
Last Modified:20 Feb 2024 05:37

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