A bayesian approach for the joint decomposition of a sequence of photoelectron spectra

This work deals with the decomposition of a temporal sequence of photoelectron spectra into a sum of peaks whose positions, amplitudes and widths are estimated. Since the peaks exhibit a (slow) evolution with time, the decomposition is performed jointly on the whole sequence to take this temporal in...

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Veröffentlicht in:Traitement du signal 2013, Vol.30 (1-2), p.9-34
Hauptverfasser: Mazet, V., Faisan, S., Masson, A., Gaveau, M.A., Poisson, L., Mestdagh, J.M.
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container_end_page 34
container_issue 1-2
container_start_page 9
container_title Traitement du signal
container_volume 30
creator Mazet, V.
Faisan, S.
Masson, A.
Gaveau, M.A.
Poisson, L.
Mestdagh, J.M.
description This work deals with the decomposition of a temporal sequence of photoelectron spectra into a sum of peaks whose positions, amplitudes and widths are estimated. Since the peaks exhibit a (slow) evolution with time, the decomposition is performed jointly on the whole sequence to take this temporal information into account. To this end, we have developed a Bayesian model where a Markov random field favors a smooth evolution of peaks. The approach is unsupervised and a Gibbs sampler within a simulated annealing scheme enables to estimate the maximum a posteriori. We show the relevance of this approach compared with a method in which the spectra are decomposed separately and present an application on real photoelectron data.
doi_str_mv 10.3166/TS.30.9-34
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Theoretical and
title A bayesian approach for the joint decomposition of a sequence of photoelectron spectra
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