2019
DOI: 10.1109/tmi.2019.2906600
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Noninvasive Reconstruction of Transmural Transmembrane Potential With Simultaneous Estimation of Prior Model Error

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Cited by 11 publications
(10 citation statements)
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“…Probabilistic methods rely on Bayesian inference theory and numerical techniques to generate posterior distributions for the model parameters [37], [38]. They can incorporate prior knowledge into the parameter estimation with uncertainty, which can be used to guide decision-making and assess the robustness of the results [25]. Nevertheless, conventional probabilistic methods are usually computationally expensive, as repeated numerical simulations are required to generate samples for the posterior distribution.…”
Section: Solving the Electrocardiography Inverse Problemmentioning
confidence: 99%
“…Probabilistic methods rely on Bayesian inference theory and numerical techniques to generate posterior distributions for the model parameters [37], [38]. They can incorporate prior knowledge into the parameter estimation with uncertainty, which can be used to guide decision-making and assess the robustness of the results [25]. Nevertheless, conventional probabilistic methods are usually computationally expensive, as repeated numerical simulations are required to generate samples for the posterior distribution.…”
Section: Solving the Electrocardiography Inverse Problemmentioning
confidence: 99%
“…In this framework, we can easily integrate two measurements from different domains by defining a prior distribution which behaves like a Gaussian in a gradient domain, i.e., whose derivative is Gaussian. Using this approach, we can derive a Kalman update equation (as in [Ghimire et al 2019]).…”
Section: Problem Formulationmentioning
confidence: 99%
“…Note that we have used the spatial gradient of the iris position. For a prior distribution, the low dimensional structure of the signal can be considered to model the prediction error [Ghimire et al 2019]. In our case, we find the hybrid signal by minimizing the mean square estimation between hybrid velocity and iris velocity and also between hybrid position and pupil position.…”
mentioning
confidence: 99%
“…Probabilistic methods rely on Bayesian inference theory and numerical techniques to generate posterior distributions for the model parameters [17], [18]. They can incorporate prior knowledge into the parameter estimation with an uncertainty, which can be used to guide decision-making and assess the robustness of the results [19]. Nevertheless, conventional probabilistic methods are usually computationally expensive, as repeated numerical simulations are required to generate samples for the posterior distribution.…”
Section: Introductionmentioning
confidence: 99%