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 |
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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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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.</description><identifier>ISSN: 0765-0019</identifier><identifier>EISSN: 1958-5608</identifier><identifier>DOI: 10.3166/TS.30.9-34</identifier><language>eng ; fre</language><publisher>Lavoisier</publisher><subject>Chemical Sciences ; or physical chemistry ; Theoretical and</subject><ispartof>Traitement du signal, 2013, Vol.30 (1-2), p.9-34</ispartof><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><orcidid>0000-0002-7131-968X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,778,782,883,4012,27910,27911,27912</link.rule.ids><backlink>$$Uhttps://hal.science/hal-00854433$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Mazet, V.</creatorcontrib><creatorcontrib>Faisan, S.</creatorcontrib><creatorcontrib>Masson, A.</creatorcontrib><creatorcontrib>Gaveau, M.A.</creatorcontrib><creatorcontrib>Poisson, L.</creatorcontrib><creatorcontrib>Mestdagh, J.M.</creatorcontrib><title>A bayesian approach for the joint decomposition of a sequence of photoelectron spectra</title><title>Traitement du signal</title><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. 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title | A bayesian approach for the joint decomposition of a sequence of photoelectron spectra |
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