Patricia Reynaud-Bouret

Laboratoire J. A. Dieudonné

U.M.R. C.N.R.S. N° 7351
Université de Nice Sophia-Antipolis

Parc Valrose
06108 Nice Cedex 2

France

 

E-mail : reynaudb—at—unice.fr




photo


 

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, Atlanta, USA)  with  C. Houdré

*     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
                            TitleAdaptive statistical inference for some point processes (Poisson, Aalen, Hawkes)

     Students

                PhD Students :

                            Giulia Mezzadri (2016- ) [co-advisor Fabien Mathy with the participation of Thomas Laloë]
                            Julien Chevallier (2013-2016) [co-advisor  François Delarue] currently PostDoc (Cergy-Pontoise)
                            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, currently preparing her Prova Finale
                           

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, Basel, 55-69 (2003)

*      [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)


Preprints


*   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

*      Associate Editor of

*      ANR Calibration

*      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


      Materials

*      Course on point processes : 1, 2, 3, 4.

*      Hawkes and Genomics

*      Size-structured population

*      Point processes, concentration and adaptive statistics

*      Course on Hawkes processes and applications to neuroscience and genomics

*      Course on variable detection and multiple testing: 1-2-3 , 4a , 4b , 4c