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Update paper.md with short comparison to other publications
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Y0dler authored Oct 25, 2024
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Expand Up @@ -56,6 +56,8 @@ Since this is a time-consuming, not to mention tedious, procedure and introduces
The advantage of this approach is the complete integration of all relevant parameters – i.e. baseline, peak area and height, mean, signal-to-noise ratio etc. – into one single model through which all parameters are estimated simultaneously.
Furthermore, Bayesian inference comes with uncertainty quantification for all peak model parameters, and thus does not merely yield a point estimate as would commonly be the case.
It also grants access to novel metrics for avoiding false positives and negatives by rejecting signals where a) a convergence criterion of the peak fitting procedure was not fulfilled or b) the uncertainty of the estimated parameters exceeded a user-defined threshold.
By employing peak fitting to uncover peak parameters – most importantly the area –, this approach thus differs from recent applications of Bayesian statistics to chromatographic peak data which e.g. focussed on peak detection [@vivo2012bayesian; @woldegebriel2015probabilistic], method optimization [@wiczling2016much] and simulations of chromatography [@briskot2019prediction; @yamamoto2021uncertainty].
The first studies to be published about this topic contain perhaps the technique most similar in spirit to the present one since functions made of an idealized peak shape and a noise term are fitted but beyond this common starting point the methodolody is quiet distinct [@kelly1971estimation; @kelly1971application].

# Materials and Methods
## Implementation
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