Patricia Reynaud-BouretLaboratoire
J. A. Dieudonné
U.M.R.
C.N.R.S. N° 7351
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Curriculum Vitae
2008- : CNRS Researcher at Nice Sophia-Antipolis
University. (Directeur de Recherche since 2014)
2003-2008 : Researcher
(Chargée de Recherche) au DMA (ENS-Paris).
2002-2003
: Postdoctoral Studies at the School of Mathematics (Georgia Institute of Technology,
1999-2002 : PhD Thesis at Département de Mathématiques d'Orsay (Paris
XI)
PhD advisor : P. Massart
Title : Estimation
adaptative de l'intensité de certains processus ponctuels par sélection de
modèle
Research interest
Adaptive
Statistics : Model selection, Thresholding, Aggregated tests, Lasso, Lepski's method
Point
processes : Hawkes, Poisson, Aalen
Concentration
inequalities
Neurosciences : analysis of spikes trains and functional connectivity
Genomics : detection of favored or avoided distances, analysis of NGS data
HDR Manuscript
Title : Adaptive statistical inference for some point processes (Poisson, Aalen, Hawkes)
Students
PhD Students :
Giulia Mezzadri (2016- ) [co-advisor Fabien Mathy and Thomas Laloë]
Julien Chevallier (2013-2016) [co-advisor François Delarue] ex-PostDoc (Cergy-Pontoise) currently MdC at Grenoble.
Mélisande Albert (2012-2015) [co-advisor Magalie Fromont] ex-PostDoc (Grenoble, LJK/GIPSA) currently MdC at Insa-Toulouse
Laure Sansonnet (2009-2013) [co-advisor Vincent Rivoirard] ex-PostDoc (UCL, Belgium), currently MdC at AgroParisTech
Salima El Kolei (2009-2012) [co-advisor Frédéric Patras] ex-statistician expert for SAFRAN, currently teacher at ENSAI (Rennes)
Other M2 Students :
Amel Rouis (2011) currently, biostatistician at CHU - Nice
José Bonnet (2013) currently, research engineer EDF-LJAD on the prediction of sismic activity
Imen Chaarana (2015) currently computer scientist for Talent Consulting
Cyrille Mascart (2016) currently PhD student at I3S
Valentina Mazzi (2016) Erasmus exchange from Verona University
Publications
[23] Albert, Mélisande ; Bouret, Yann ; Fromont, Magalie ; Reynaud-Bouret , Patricia Surrogate data methods based on a shuffling of the trials for synchrony detection: the centering issue, Neural Computation, 28(11), 2352-2392 (2016).
[22] Fromont, Magalie ; Lerasle, Matthieu ; Reynaud-Bouret, Patricia Family Wise Separation Rates for multiple testing, Annals of Statistics, 44(6), 2533-2563 (2016).
[21] Lerasle, Matthieu ; Magalhães, Nelo ; Reynaud-Bouret, Patricia Optimal kernel selection for density estimation High Dimensional Probability VII : The Cargese Volume, Prog. Probab. 71, Birkhaüser, 425-460 (2016).
[20] Chevallier, Julien ; Cáceres, María José ; Doumic, Marie ; Reynaud-Bouret, Patricia Microscopic approach of a time elapsed neural model, Mathematical Models and Methods in Applied Sciences, 25(14), 2669-2719 (2015).
[19] Albert, Mélisande ; Bouret, Yann ; Fromont, Magalie ; Reynaud-Bouret, Patricia Bootstrap and permutation tests of independence for point processes, Annals of Statistics, 43(6), 2537-2564 (2015).
[18] Tuleau-Malot, Christine ; Rouis, Amel ; Grammont, Franck ; Reynaud-Bouret, Patricia Multiple tests based on a Gaussian approximation of the Unitary Events method with delayed coincidence count, Neural Computation, 26(7), 1408-1454 (2014).
[17] Reynaud-Bouret, Patricia ; Rivoirard, Vincent ; Grammont , Franck ; Tuleau-Malot, Christine Goodness-of-fit tests and nonparametric adaptive estimation for spike train analysis, Journal of Mathematical Neuroscience, 4:3 (2014).
[16] Reynaud-Bouret, Patricia Concentration inequalities, counting processes and adaptive statistics, ESAIM Proc. (proceedings of "Journées MAS 2012"), 44, 79-98 (2014).
[15] Reynaud-Bouret, Patricia ; Rivoirard, Vincent; Tuleau-Malot, Christine Inference of functional connectivity in Neurosciences via Hawkes processes, 1st IEEE Global Conference on Signal and Information Processing, Austin, Texas (2013).
[14] Hansen, Niels R. ; Reynaud-Bouret, Patricia ; Rivoirard, Vincent Lasso and probabilistic inequalities for multivariate point processes, Bernoulli, 21(1), 83-143 (2015).
[13] Fromont, Magalie ; Laurent, Béatrice ; Reynaud-Bouret, Patricia The two-sample problem for Poisson processes: adaptive tests with a non-asymptotic wild bootstrap approach, Annals of Statistics, 41(3), 1431-1461 (2013).
[12] Fromont, Magalie ; Laurent, Béatrice ; Lerasle, Matthieu ; Reynaud-Bouret, Patricia Kernels based tests with non-asymptotic bootstrap approaches for two-sample problems, JMLR : Workshop and Conference Proceedings, 23, 25th Annual Conference on Learning Theory, 23.1–23.22 (2012).
[11] Doumic -Jauffret, Marie ; Hoffmann, Marc ; Reynaud-Bouret, Patricia ; Rivoirard, Vincent Nonparametric estimation of the division rate of a size-structured population, SIAM Journal on Numerical Analysis, 50, 925-950 (2012).
[10] Reynaud-Bouret, Patricia ; Rivoirard, Vincent ; Tuleau-Malot, Christine Adaptive density estimation: a curse of support? J. Statist. Plann. Inference, 141, 115-139 (2011).
[9] Fromont, Magalie ; Laurent, Béatrice ; Reynaud-Bouret, Patricia Adaptive test of homogeneity for a Poisson process Ann. Inst. H. Poincaré Probab. Statist. 47 (1), 176-213 (2011).
[8] Reynaud-Bouret, Patricia ; Schbath, Sophie Adaptive estimation for Hawkes processes; application to genome analysis Annals of Statististics, 38(5), 2781-2822 (2010).
[7] Reynaud-Bouret, Patricia ; Rivoirard, Vincent Near optimal thresholding
estimation of a Poisson intensity on the real line Electronic Journal of Statistics, 4, 172-238 (2010).
[6] Houdré, Christian ;
Marchal, Philippe ; Reynaud-Bouret,
Patricia Concentration for norms of infinitely
divisible vectors with independent components. Bernoulli, 14(4), 926-948 (2008).
[5] Reynaud-Bouret, Patricia ; Roy,
Emmanuel Some
non asymptotic tail estimates for Hawkes processes. Bulletin of the Belgian Mathematical
Society-Simon Stevin, 13(5), 883-896 (2007) (old version here).
[4] Reynaud-Bouret, Patricia Penalized projection estimators of
the Aalen multiplicative intensity. Bernoulli, 12(4), 633-661 (2006).
[3] Reynaud-Bouret, Patricia Compensator and exponential
inequalities for some suprema of counting processes. Statistics and Probability Letters,
76(14), 1514-1521 (2006).
[2] Houdré, Christian ; Reynaud-Bouret, Patricia
Exponential inequalities, with
constants, for U-statistics of order two. Stochastic inequalities and applications, Progr.
Probab., 56 Birkhäuser,
[1] Reynaud-Bouret, Patricia Adaptive
estimation of the intensity of inhomogeneous Poisson processes via
concentration inequalities. Probab. Theory
Related Fields 126 (1), 103-153 (2003)
Jiang, Xin ; Reynaud-Bouret, Patricia ; Rivoirard, Vincent ; Sansonnet, Laure ; Willett, Rebecca A data-dependent weighted LASSO under Poisson noise
Albert, Mélisande ; Bouret, Yann ; Fromont, Magalie ; Reynaud-Bouret, Patricia (preliminary work for [23]) A Distribution Free Unitary Events Method based on Delayed Coincidence Count
Reynaud-Bouret, P. ; Tuleau-Malot, C. ; Rivoirard, V. ; Grammont, F. (preliminary work for [17]) Spike
trains as (in)homogeneous Poisson processes or Hawkes processes:
non-parametric adaptive estimation and goodness-of-fit tests.
Tuleau-Malot, C. ; Rouis, A. ; Reynaud-Bouret, P. ; Grammont, F. (preliminary work for [18]) Multiple Tests Based on a Gaussian Approximation of the Unitary Events.
Reynaud-Bouret, Patricia ; Rivoirard, Vincent (preliminary work for [7]) Calibration of thresholding rules for Poisson intensity estimation
Reynaud-Bouret, Patricia ; Rivoirard, Vincent (preliminary work for [7]) Adaptive
thresholding estimation of a Poisson intensity with
infinite support
Houdré, Christian ; Reynaud-Bouret,
Patricia (preliminary work for [6]) Concentration for
Infinitely Divisible Vectors with Independent Components
Main Current Responsibilities
PEPS
Bio-Maths : "Estimation de graphes de dépendance entre neurones
thalamiques et cortico-thalamiques via des modèles de Hawkes
multivariés"
Coordinator of the interdisciplinary axis of UNS: Axe Modélisation Théorique et Computationnelle en Neuroscience et Sciences Cognitives
Member of the steering committee of the Structuring Program of UCA: Systèmes cognitifs, normalité et pathologie du cerveau humain, neurosciences computationnelles
Course on point processes : 1, 2, 3, 4.
Point processes, concentration and adaptive statistics
Course on Hawkes processes and applications to neuroscience and genomics
Course on variable detection and multiple testing: 1 2a 2b 2c 3 (2016/2017)
2017/2018: Course1
Course2
Basic Tests : small review (with typos)
Course for the ESMTB-EMS & DSIN Summerschool on Mathematical Neuroscience