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UID:5857@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20221201T094500
DTEND;TZID=Europe/Paris:20221201T170000
DTSTAMP:20241120T200639Z
URL:https://www.i2m.univ-amu.fr/evenements/journee-thematique-processus-po
 nctuels-en-traitement-du-signal-et-image/
SUMMARY:Journée (FRUMAM\, St Charles\, Marseille): Journée thématique "P
 rocessus ponctuels en traitement du signal et image"
DESCRIPTION:Journée: Journée thématique \nSignal Thematic Day: Point Pro
 cesses\n\nProgram\n\n\n\n\n9:45-10:00\n\n\nCoffee and introduction\n\n\n10
 :00-12:00\nFrédéric Lavancier\n\nCrash-course \nModélisation et infére
 nce des processus ponctuels spatiaux\n\nAbstract: Les processus ponctuels 
 spatiaux modélisent la répartition aléatoire de points dans l’espace 
 (le plan dans la plupart des applications). Nous verrons comment ils sont 
 définis mathématiquement et les principaux exemples de modèles employé
 s en pratique\, selon que la répartition des points est spatialement homo
 gène ou inhomogène\, et que l’interaction entre points voisins est nul
 le\, attractive\, répulsive ou plus complexe.\nEtant donné une réalisat
 ion d’un processus ponctuel spatial\, c’est à dire l’observation d'
 un ensemble de points dans un certain domaine\, nous détaillerons les out
 ils d’analyse descriptive classiques qui permettent de qualifier la rép
 artition observée et d’éventuellement s’orienter vers une modélisat
 ion plus fine. Nous évoquerons également les méthodes d’inférence di
 sponibles pour calibrer les modèles standards.\n\n\n\n\n\n\n12:00 - 1:30\
 n\n\nLunch\n\n\n1:30 - 2:30\nAgnès Desolneux\n\nResearch talk\nDeterminan
 tal Point Processes and applications in imaging\nAbstract: In this talk\, 
 I will start by presenting the general framework of discrete determinantal
  point processes (DPP). Then I will show how they can be adapted to the ca
 se of the pixels of an image (with some applications in texture synthesis)
  and to the case of patches of an image (with some applications in compres
 sion/reconstruction).\n\n\n\n\n\n2:30-3:30\nCédric Allain\n\nResearch tal
 k\nDriPP: Driven Point Processes to Model Stimuli Induced Patterns in M/EE
 G Signals\nAbstract: The quantitative analysis of non-invasive electrophys
 iology signals from electroencephalography (EEG) and magnetoencephalograph
 y (MEG) boils down to the identification of temporal patterns such as evok
 ed responses\, transient bursts of neural oscillations but also blinks or 
 heartbeats for data cleaning. Several works have shown that these patterns
  can be extracted efficiently in an unsupervised way\, e.g.\, using Convol
 utional Dictionary Learning. This leads to an event-based description of t
 he data. Given these events\, a natural question is to estimate how their 
 occurrences are modulated by certain cognitive tasks and experimental mani
 pulations. To address it\, we propose a point process approach. While poin
 t processes have been used in neuroscience in the past\, in particular for
  single cell recordings (spike trains)\, techniques such as Convolutional 
 Dictionary Learning make them amenable to human studies based on EEG/MEG s
 ignals. We develop a novel statistical point process model-called driven t
 emporal point processes (DriPP)-where the intensity function of the point 
 process model is linked to a set of point processes corresponding to stimu
 lation events. We derive a fast and principled expectation-maximization (E
 M) algorithm to estimate the parameters of this model. Simulations reveal 
 that model parameters can be identified from long enough signals. Results 
 on standard MEG datasets demonstrate that our methodology reveals event-re
 lated neural responses-both evoked and induced-and isolates non-task speci
 fic temporal patterns.\nArticle sur https://arxiv.org/abs/2112.06652\n\n\n
 \n\n\n4:00-5:00\nFrédéric Lavancier\n\nResearch talk\nSpatial birth-deat
 h-move processes : basic properties and estimation of their intensity func
 tions\nAbstract: Various spatio-temporal data record the time of birth and
  death of individuals\, along with their spatial trajectories during their
  lifetime\, whether through continuous-time observations or discrete-time 
 observations. The data at hand can be viewed as a random set of points\, t
 he cardinality and the position of which evolve stochastically through tim
 e. Natural applications include epidemiology\, individual-based modelling 
 in ecology\, spatio-temporal dynamics observed in bio-imaging\, and comput
 er vision. To model this kind of data\, we introduce spatial birth-death-m
 ove processes\, where the birth and death dynamics depends on the current 
 spatial state of all alive individuals and where individuals can move duri
 ng their lifetime according to a continuous Markov process. We present som
 e of the basic probabilistic properties of these processes and we consider
  the non-parametric estimation of their birth and death intensity function
 s. We prove the consistency of kernel estimators in presence of continuous
 -time or discrete-time observations\, under fairly simple conditions. We m
 oreover discuss how we can take advantage in practice of structural assump
 tions made on the intensity functions and we explain how data-driven bandw
 idth selection can be conducted\, despite the unknown (and sometimes undef
 ined) second order moments of the estimators. We finally apply our statist
 ical method to the analysis of the spatio-temporal dynamics of proteins in
 volved in exocytosis in cells.\nThis is a joint work with Ronan Le Guével
  (Rennes 2).\n\n\n\n\n\n\n\nSpeakers\nFrédéric Lavancier (Univ. Nantes)\
 nAgnès Desolneux (CNRS Centre Borelli\, Paris)\nCédric Allain (INRIA Sac
 lay).\n\n\n\nOrganizers\nSandrine Anthoine\nClothilde Mélot\n&nbsp\;\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 019/11/image-alea_si-signal-binar-numbers-x450.jpg
CATEGORIES:Journée(s),Manifestation scientifique
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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TZID:Europe/Paris
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DTSTART:20221030T020000
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