Objective selection of hyperparameter for EIT

Physiological Measurement
B M Graham, Andy Adler

Abstract

An algorithm for objectively calculating the hyperparameter for linearized one-step electrical impedance tomography (EIT) image reconstruction algorithms is proposed and compared to existing strategies. EIT is an ill-conditioned problem in which regularization is used to calculate a stable and accurate solution by incorporating some form of prior knowledge into the solution. A hyperparameter is used to control the trade-off between conformance to data and conformance to the prior. A remaining challenge is to develop and validate methods of objectively selecting the hyperparameter. In this paper, we evaluate and compare five different strategies for hyperparameter selection. We propose a calibration-based method of objective hyperparameter selection, called BestRes, that leads to repeatable and stable image reconstructions that are indistinguishable from heuristic selections. Results indicate: (1) heuristic selections of hyperparameter are inconsistent among experts, (2) generalized cross-validation approaches produce under-regularized solutions, (3) L-curve approaches are unreliable for EIT and (4) BestRes produces good solutions comparable to expert selections. Additionally, we show that it is possible to reliably detect an in...Continue Reading

References

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Citations

Aug 12, 2014·PloS One·Bartłomiej GrychtolAndy Adler
Jul 2, 2009·Journal of Biomedical Optics·Teresa CorreiaJeremy Hebden
Jan 1, 2011·Autism Research and Treatment·Rebecca E RosenbergPaul A Law
Jul 20, 2007·Statistics in Medicine·Vasily A VakorinGordon E Sarty
Jan 7, 2010·IEEE Transactions on Medical Imaging·Andrea BorsicWilliam R B Lionheart
Sep 18, 2007·IEEE Transactions on Bio-medical Engineering·Louis-François TanguayRobert Guardo
Mar 11, 2009·IEEE Transactions on Bio-medical Engineering·Alzbeta E HartingerHervé Gagnon
May 31, 2012·IEEE Transactions on Medical Imaging·Bartłomiej GrychtolAndy Adler
Jan 26, 2017·Medical Physics·Benjamin SchullckeKnut Moeller
Oct 12, 2017·Journal of Clinical Monitoring and Computing·B SchullckeK Moeller
May 2, 2007·Physiological Measurement·Mehran GoharianGerald R Moran
Aug 1, 2007·Physiological Measurement·B M Graham, A Adler
Aug 1, 2007·Physiological Measurement·Andy AdlerWilliam R B Lionheart
Aug 1, 2007·Physiological Measurement·Alzbeta E HartingerRobert Guardo
Jul 22, 2010·Physiological Measurement·Y MaimaitijiangJ Kahlert
Dec 10, 2016·Journal of Applied Physiology·Christian J RothWolfgang A Wall
Feb 6, 2020·International Journal for Numerical Methods in Biomedical Engineering·Ramin SoltanzadehCyrus Shafai
May 27, 2015·Physiological Measurement·Fabian BraunJean-Philippe Thiran
May 27, 2015·Physiological Measurement·A BiguriM Soleimani
May 27, 2015·Physiological Measurement·Martin ProençaJean-Philippe Thiran
May 27, 2015·Physiological Measurement·Hervé GagnonAndy Adler
Jun 25, 2021·Physiological Measurement·Benjamin HentzeSteffen Leonhardt

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