My thesis work focuses on Markov and semi-Markov switching regression models, i.e. finite mixtures of regression models with (semi-)Markovian dependencies. These statistical models enable to analyse data structured as a succession of stationary phases that are asynchronous between individuals, influenced by time-varying covariates and which present inter-individual heterogeneity. The proposed inference algorithm for (semi-)Markov switching generalized linear models is a gradient EM algorithm. For (semi-)Markov switching linear mixed models, we propose MCEM-like algorithms whose E-step decomposes into two conditional restoration steps: one for
the random effects given the state sequences (and the observed data) and one for the state sequences given the random effects (and the observed data). Various conditional restoration steps are presented. We study two types of random effects: individual-wise random effects and environmental random effects. The relevance of these models is illustrated by the analysis of forest tree growth influenced by
climatic covariates. These models allow us to identify and characterize the three main growth components (ontogenetic component, environmental component and individual component). We show that the weight of each component varies according to species
and silvicultural interventions.
Latent variable models for time series and longitudinal data,
Mixed effect models, regression models, dynamical models
Hidden Markov and semi-Markov models, Markov and semi-Markov switching models
EM algorithm and extensions (MCEM, gradient EM, . . . )
MCMC methods
Analysis of the influence of environmental factors and inter-individual heterogeneity on plant structure and development
Analysis of shoot elongation and structure,
Analysis of whole plant structure and development relying on the notion of physiological state,
Directed and practical work, Introduction to the statistics and the software R, Licence 1 et 2
Practical work, Linear models, Licence 3
Practical work, Statistics Applied and data-processing tools, Licence 2
Course and directed work, Biomathematics, Licence 1
Pratical work, Biostatistics, Licence 3
Publications in 2011
Journal of Experimental Botany, Volume 62, Number 15, page 5283–-5296 - 2011
Publications in 2010
Biometrics, Volume 66, Number 3, page 753--762 - sept 2010
Publications in 2009
Annals of Botany, Volume 104, Number 5, page 883--896 - 2009
Publications in 2008
PhD thesis from Université Montpellier II - 2008
Computational Statistics, COMPSTAT'2008, 18th Symposium of IASC, Volume II, page 11--18 - 2008
Technical Report 6618, INRIA, Number 6618 - 2008
Journal of Multivariate Analysis, Volume 99, Number 8, page 1717--1732 - sep 2008
Publications in 2007
5th International Workshop on Functional-Structural Plant Models, page P43, 1-3 - nov 2007
39èmes Journées de Statistique - 2007
Publications in 2006
Technical Report 5999, INRIA, Number 5999 - 10 2006
See my
complete publications list