2019
DOI: 10.1038/s41598-019-50232-x
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Bayesian Multiple Emitter Fitting using Reversible Jump Markov Chain Monte Carlo

Abstract: In single molecule localization-based super-resolution imaging, high labeling density or the desire for greater data collection speed can lead to clusters of overlapping emitter images in the raw super-resolution image data. We describe a Bayesian inference approach to multiple-emitter fitting that uses Reversible Jump Markov Chain Monte Carlo to identify and localize the emitters in dense regions of data. This formalism can take advantage of any prior information, such as emitter intensity and density. The ou… Show more

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Cited by 20 publications
(15 citation statements)
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“…As the posterior does not assume an analytic form and cannot be directly sampled from, we invoke a Markov chain Monte Carlo (MCMC) procedure. 39 , 48 , 60 , 72 75 In particular, we opt for the following Gibbs sampling 60 , 76 strategy sketched here and discussed further in the Supporting Information, Note 2.2 .…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…As the posterior does not assume an analytic form and cannot be directly sampled from, we invoke a Markov chain Monte Carlo (MCMC) procedure. 39 , 48 , 60 , 72 75 In particular, we opt for the following Gibbs sampling 60 , 76 strategy sketched here and discussed further in the Supporting Information, Note 2.2 .…”
Section: Methodsmentioning
confidence: 99%
“…With the posterior at hand, we are in a position to draw reasonable values for our parameters of interest from the posterior. As the posterior does not assume an analytic form and cannot be directly sampled from, we invoke a Markov chain Monte Carlo (MCMC) procedure. ,,, In particular, we opt for the following Gibbs sampling , strategy sketched here and discussed further in the Supporting Information, Note 2.2.…”
Section: Methodsmentioning
confidence: 99%
“…A given numerical PSF was used in the GPU 3D fitting algorithm to localize emitters. The algorithm fit the single emitters using maximum likelihood estimation (MLE) and assuming a Poisson noise model 41 , 42 . The algorithm finds the MLE employing the Newton-Raphson approach to iteratively update parameters, including x , y , z -locations, intensity and background.…”
Section: Methodsmentioning
confidence: 99%
“…A given numerical PSF was used in the GPU 3D fitting algorithm to localize emitters. The algorithm fit the single emitters using maximum likelihood estimation (MLE) and assuming a Poisson noise model 34,35 . The algorithm finds the MLE employing the Newton-Raphson approach to iteratively update parameters, including x, y, z-locations, intensity and background.…”
Section: Super-resolution Fittingmentioning
confidence: 99%