• Maître de conférences à l'Université Paul Valéry - Montpellier 3
  
• Membre de l'Institut Montpelliérain Alexander Grothendieck, UMR CNRS 5149
  
  ¤ Mon Curriculum Vitae
  

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Coordonnées :

UPV	IMAG
Bureau B 111 - UFR VI Université Paul Valéry - Montpellier Route de Mende 34199 Montpellier Cedex 5	Bureau 317 - UMR IMAG Equipe Probabilités et Statistique Place Eugène Bataillon 34095 Montpellier Cedex 5
E-mail :	E-mail :
Tel : +33 (0)4 67 14 21 63	Tel : +33 (0)4 67 14 41 64

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Enseignement :

• Département MIAp - UFR6 - Université Paul Valéry - Montpellier.
• Master 2 Biostatistiques de Montpellier : cours de modèles linéaires avancés.
  
  

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Recherche :

• Thèmes : Modèles à effets aléatoires, modèles linéaires généralisés (GLM), modèle de mélange, choix de modèle, modèles multiphasiques, chaînes de Markov cachées, données catégorielles partiellement ou totalement ordonnées, régularisation dans les GLM et les GL2M.
  
  
• Travaux:
• Avec Xavier Bry, Jocelyn Chauvet et Julien Gibaud sur la recherche de composantes dans la régression multivariée de données non gaussiennes
• Avec Benjamin Heuclin, Marie Denis et Frédéric Mortier sur la sélection bayésienne d'effets aléatoires pour des modèles mixtes
  
• Avec Jean Peyhardi, Yann Guédon et Lorena Leon sur les modèles pour données catégorielles ordonnées ou partiellement ordonées
  
• Avec Yann Guédon sur des modèles avec sous-dispersion pour des données de comptage
• Avec Florence Chaubert, Christian Lavergne et Yann Guédon sur les modèles linéaires généralisés mixtes multiphasiques
• Avec Marie-Jo Martinez et Christian Lavergne sur la sélection de modèles linéaires généralisés mixtes et l'estimation dans des mélanges de modèles exponentiels mixtes

• Publications :
  
• Heuclin B., Mortier F., Trottier C., Tisné S., Denis M. "Continuous shrinkage priors for fixed and random effects selection in linear mixed models: application to genetic mapping." soumis à Biometrics
• Mortier F., Trottier C., Cornu G., Bry X.  "SCGLR - An R package for Supervised Component Generalized Linear Regression.", soumis à Journal of Statistical Software (2013)

• Heuclin B., Mortier F., Tisné S., Gibaud J., Trottier C., Denis M. "Bayesian group fused priors." en révision à JABES
• Leon L., Peyhardi J., Trottier C. "GLMcat: an R Package for Generalized Linear Models for Categorical Responses." en révision à Journal of Statistical Software (2024)

• Leon L., Peyhardi J., Trottier C.  "Robustness of the Student binary regression model according to the data separation setting."  Computational statistics and data analysis (2025)
  
• Gibaud J., Bry X., Trottier C. "Generalized linear model based on latent factors and supervised components." Computational Statistics (2024)
  https://link.springer.com/article/10.1007/s00180-024-01544-8
• Gibaud J., Bry X., Trottier C., Mortier F., Réjou-Méchain M. "Response mixture models based on supervised components: clustering floristic taxa.", Statistical Modelling (publié online 2022) (2024),  24(3), pp 226-244, https://doi.org/10.1177/1471082X221115525
• Heuclin B., Denis M., Mortier F., Trottier C. "Bayesian varying coefficient model with selection: An application to functional mapping", Journal of the Royal Statistical Society – series C - Applied Statistics (2021), 70(1), pp. 24-50. doi: 10.1111/rssc.12447
• Bry X., Trottier C., Mortier F., Cornu G. "Component-based regularization of a multivariate GLM with a thematic partitioning of the explanatory variables.", Statistical Modelling (2020), 20(1), pp 96-119,  https://doi.org/10.1177/1471082X18810114
• Chauvet J., Trottier C, Bry X. "Component-based regularisation of generalised linear mixed models.", Journal of Computational and Graphical Statistics (2019), 28(4), pp. 909-920
  
• Peyhardi J., Trottier C., Guédon Y. "Partitioned conditional generalized linear models for categorical data.", Statistical Modelling (2016), 16(4), pp 297-321
• Peyhardi J., Trottier C., Guédon Y. "A new specification of generalized linear models for categorical responses.", Biometrika (2015), 102, pp. 889-906
  
• Bry X., Trottier C., Verron T., Mortier F. "Supervised Component Generalized Linear Regression using a PLS-extension of the Fisher scoring algorithm.", Journal of Multivariate Analysis (2013), 119, pp. 47-60
  
• Chaubert - Pereira F., Guédon Y., Lavergne C., Trottier C. "Markov and Semi-Markov Switching Linear Mixed Models Used to Identify Forest Tree Growth Components.", Biometrics  (2010) , 66(3), pp. 753-762
• Martinez M.-J., Lavergne C., Trottier C. "A mixture model-based approach to the clustering of exponential repeated data.", Journal of Multivariate Analysis (2009), 100(9), pp. 1938-1951
• Lavergne C., Martinez M.-J., Trottier C. "Empirical Model Selection in Generalized Linear Mixed Effects Models.",  Computational Statistics (2008), 23 (1), pp. 99-110 
• Diebolt J., Garrido M., Trottier C.  "Improving extremal fit: a Bayesian regularization procedure.", Reliability Engineering and System Safety (2003), 82, pp. 21-31
• Trottier C.  "A quasi-score marginal approach in generalized linear mixed models.'', Statistics (2000), 33(4), pp. 291-308
• Lavergne C., Trottier C. "Sur l'estimation dans les modèles linéaires généralisés mixtes.'', Revue de Statistiques Appliquées (2000), XLVIII (1), pp. 45-63
• Trottier C. "Estimation dans les modèles linéaires généralisés à effets aléatoires.", Thèse de doctorat de l'Institut National Polytechnique de Grenoble - juillet 1998 format pdf
  
  Chapitre d'ouvrage :
• Mortier F., Bry X., Trottier C., Cornu G., Chauvet J., and Verron T.  :
  - (2022) "La régression linéaire généralisée sur composantes supervisées et ses extensions," in: Approches statistiques pour les variables cachées en écologie. Dir. Nathalie Peyrard & Olivier Gimenez. ISTE - Accepté Fev. 2021. ISBN 978-1-78948-047-7
  - (2023) "Supervised Component-based Generalized Linear Regression: Method and Extensions". In Statitical Approaches for Hidden Variables in Ecology, Eds : N. Peyrard, O. Gimenez, in Statistics and Ecology, ISTE Wiley (2022), pp. 181-201, ISBN: 9781789450477
• Bry X., Trottier C., Mortier F., Cornu G., Verron T. "Supervised-Component-based Generalised Linear Regression with multiple explanatory blocks: THEME-SCGLR" - Chapitre de livre "The Multiple Facets of Partial Least Squares and Related Methods" - Eds : Abdi, H., Esposito Vinzi, V., Russolillo, G., Saporta, G., Trinchera, L., Springer Proceedings in Mathematics & Statistics (2016), pp. 141-154
  
  Actes de colloque :
  
• Chauvet J., Trottier C., Bry X., Mortier F. "Extension to mixed models of the Supervised Component-based Generalised Linear Regression.", COMPSTAT2016, Proceedings Springer (2016)
• Bry X., Trottier C., Verron T., Mortier F., Cornu G. "Extending SCGLR to multiple regressor-groups: The Theme-SCGLR method." PLS2014, Paris, Proceedings (2014)
• Bry X., Trottier C., Verron T., Mortier F. "Supervised Component Generalized Linear Regression using a PLS-extension of the Fisher scoring algorithm." COMPSTAT2012, proceedings, ISI (2012)
  
  Statistique appliquée :
• Viau L., Raveneau V., Rodriguez N., Poncelet P. Sallaberry A., Trottier C. "A Comparison of Hybrid Maps for the Visualization of Two Geolocated Quantitative Variables." Information Visualization (2025)
  
• Ndamiyehe Ncutirakiza J.-B., Gourlet-Fleury S., Lejeune P., Bry X., Trottier C., Mortier F., Fayolle A., Muhashy Habiyaremye F., Ndiele Mianda-Bungi L., Ligot G. "Using high resolution images to analyze the importance of crown size and competition for the growth of tropical trees", Forest Ecology and Management (2024), 552 https://doi.org/10.1016/j.foreco.2023.121553
• Réjou-Méchain M., Mortier F., Bastin J.-F., Cornu G., Barbier N., Bayol N., Bénédet F., Bry X., Dauby G., Deblauwe V., Doucet J.-L., Doumenge C., Fayolle A., Garcia C., Kibambe J.-P., Loumeto J.-J., Ngomanda A., Sonké B., Trottier C., Vimal R., Yongo O., Pélissier R., Gourlet-Fleury S.  "Unveiling African rainforest composition indicates global warming threat", Nature (2021), 593, pp. 90-94
  
• Peyhardi J., Caraglio Y., Costes E., Lauri P.-E., Trottier C., Guédon Y. "Integrative models for jointly analysing shoot growth and branching patterns.", New Phytologist (2017), 216, pp 1291-1304
  
• Durand J.B., Guitton B., Peyhardi J., Holtz Y., Guédon Y., Trottier C. and Costes E. "New insights for estimating the genetic value of segregating apple progenies for irregular bearing during the first years of tree production.", Journal of Experimental Botany (2013), 64 (16), pp. 5099-5113
  
• Guerrero Lopez H.A., Mondain M., Amy de la Bretèque B., Serrafero P., Trottier C., Barkat-Defradas M. "Acoustic, aerodynamic, and perceptual analyses of the voice of cochlear-implanted children.", Journal of Voice (2013) 27(4), pp 523.e1-523.e17
  
• Dambreville A., Lauri P.-E., Guédon Y., Trottier C., Normand F., "Deciphering structural and temporal interplays during the architectural development of mango trees.", Journal of Experimental Botany (2013), 64(8), pp. 2467–2480
  
• Lauri P.-E., Gorza O.,  Cochard H., Martinez S., Celton J.-M., Ripetti V., Lartaud M., Bry X., Trottier C. and Costes E. "Genetic determinism of anatomical and hydraulic traits within an apple progeny.", Plant, Cell and Environment (2011), 34, pp. 1276-1290
  
• Lauri P.-E., Kelner J. J., Trottier C., Costes E. "Insights into secondary growth in perennial plants: its unequal spatial and temporal dynamics in the apple (Malus domestica) is driven by architectural position and fruit load.", Annals of Botany (2010), 105, pp. 607 – 616 
• Normand F.,  Pambo Bello A. K., Trottier C. and Lauri P.-E. "Is axis position within tree architecture a determinant of axis morphology, branching, flowering and fruiting ? An essay in mango.", Annals of Botany (2009), 103, pp. 1325-1336
• Lauri P.-E.,  Bourdel G., Trottier C. and Cochard H. "Apple shoot architecture: evidence for strong variability of bud size and composition and hydraulics within a branching zone.", New Phytologist (2008), 178, pp. 798-807
  
• Han H.-Hee., Coutand C., Cochard H., Trottier C. and Lauri P.-E. "Effects of shoot bending on lateral fate and hydraulics: invariant and changing traits across five apple genotypes.", Journal of Experimental Botany (2007), 58(13), pp. 3537-3547
  
• Lauri P.-E., Maguylko K. and Trottier C.  "Architecture and size relations: an essay in the apple (Malus x domestica) tree.'', American Journal of Botany (2006), 93(3), pp 357-368
  
• Lauri P.-E.  and Trottier C.  "Patterns of size and fate relationships of contiguous organs in the apple (Malus domestica) crown.'', New Phytologist (2004), 163, pp. 533-546



• Conférences internationales :
• Gibaud J., Bry X., Trottier C. "Generalized linear model based on latent factors and supervised components", 9th International Statistical Ecology Conference, Swansea, Wales, United Kingdom (2024)
• Gibaud J., Bry X., Trottier C. "Supervised component-based generalized linear regression with conditionally covarying responses", 24th International Conference on COMPutational STATistics, COMPSTAT2022, 23-26 august, Bologne, Italy (2022)
• Bry X., Trottier C. "Generalized linear regression with multiple explanatory arrays: the Supervised Component methodology", Applied Stochastic Models and Data Analysis International Conference, AMSDA2021, 1-4 june, (virtual) Athens, Greece (2021)
• Gibaud J., Bry X., Trottier C. "Response clustering in component-based GLM", Applied Stochastic Models and Data Analysis International Conference, AMSDA2021, 1-4 june, (virtual) Athens, Greece (2021)
• Gibaud J., Bry X., Trottier C. "Supervised Component-based Generalized Linear Regression with finite mixture models of response", 41st Conference on Applied Statistics in Ireland CASI 2021, (virtual) 12-13 may (2021)
• Leon L., Peyhardi J., Trottier C. "GLMcat: An R package for generalized linear models for categorical responses", 13th International Conference of the ERCIM WG on Computational and Methodological Statistics, virtual conference, 19-21 december (2020)
• Leon L., Peyhardi J., Trottier C. "Generalized Linear Models for categorical responses: an R package (GLMcat)". Career Young Statisticians' Meeting, Manchester 29-30 july 2020, virtual conference, (2020)
• Leon L., Peyhardi J., Trottier C. "Partitioned conditional generalized linear models for analyzing rice diversity." Poster CLAPEM 2019 - XV Latin American Congress of Probability and Mathematical Statistics, Mexico (2019)
  
• Heuclin B., Denis M., Mortier F., Trottier C. "Bayesian selection of variance components in linear mixed models", ENAR 2019, Philadelphie, USA (2019)
• Heuclin B., Denis M., Mortier F., Trottier C. "Bayesian selection of variance components in linear mixed models", IBC, Barcelone, Espagne (2018)
• Chauvet J., Trottier C., Bry X. "Supervised–Component versus PLS regression. The case of GLMMs with autoregressive random effect.", CASI 2018, 38th Conference on Applied Statistics in Ireland, Galway, Ireland (2018)
  
• Chauvet J., Trottier C., Bry X. "Regularisation of Generalised Linear Mixed Models with autoregressive random effect", 32nd International Workshop on Statistical Modelling IWSM 2017, Groningen, Pays-Bas (2017)
• Bry X., Trottier C. "Supervised-Component Regression Methods", 37th Conference on Applied Statistics in Ireland CASI 2017, Mullingar, Irlande (2017)
  
• Trottier C, Bry X., Mortier F., Cornu G., "A new component based approach of regularisation for multivariate generalised linear regression.", CLADAG2015, Cagliari, Italie (2015)
  
• Bry X., Trottier C., Verron T., Mortier F., Cornu G., "Supervised Component-based Generalised Linear Regression with multiple explanatory blocks: THEME-SCGLR.", ICCSDA, Istanbul, Turquie (2015)
  
• Bry X., Trottier C., Verron T., Mortier F., Cornu G., "Supervised Component-based Generalised Linear Regression with multiple explanatory themes: THEME-SCGLR.", ISC12-proceedings, Kermanshah, Iran (2014)
  
• Peyhardi J., Trottier C., and Guédon Y., "Partitioned conditional generalized linear models for categorical data.", 29th International Workshop on Statistical Modeling, Göttingen, Allemagne (2014)
• Trottier C., Mortier F., Cornu G., Bry X., "SCGLR : un package R pour la régression linéaire généralisée sur composantes supervisées.", 3e Rencontres R, Montpellier, France (2014)
  
• Mortier F., Bry X., Cornu G. and Trottier C. "SCGLR: a component-based multivariate regression method to model species distributions.", International Statistical Ecology Conference, Montpellier, France (2014)
  
• Bry X., Trottier C., Mortier F. and Verron T. "Extending SCGLR to multiple regressor-groups: the Theme-SCGLR method.", 8th International Conference on Partial Least Squares and Related Methods, Paris, France (2014)
  
• Bry X., Trottier C., Mortier F.  "Supervised component generalized linear regression.", 6th International Conference of the ERCIM WG on Computational and Methodological Statistics, Londres, Royaume-Uni (2013)
  
• Peyhardi J., Costes E., Caraglio Y., Lauri P.-E., Trottier C., Guédon Y., "Integrative models for analyzing jointly shoot growth and branching patterns.", 7th International Workshop on Functional Structural Plant Models, Saariselkä, Finlande (2013), pp 207-209.
  
• Durand J.-B., Guitton B., Peyhardi J., Holtz Y. Guédon Y. Trottier C., Costes E., "Estimating the genetic value of F1 apple progenies for irregular bearing during first years of production.", 7th International Workshop on Functional Structural Plant Models, Saariselkä, Finlande (2013), pp 13-15.
  
• Peyhardi J., Trottier C., and Guédon Y., "A unifying framework for specifying generalized linear models for categorical data.", 28th International Workshop on Statistical Modeling, Palermo, Italie (2013)
• Bry X., Trottier C., Verron T., Mortier F., "Supervised Component Generalized Linear Regression using a PLS-extension of the Fisher scoring algorithm.", COMPSTAT 2012, Limassol, Chypre (2012), pp 121-129.
  
• Trottier C., Bry X., Mortier F., Verron T., "Component based Generalized Linear Regression using a PLS extended variant of the Fisher scoring algorithm.", 57a Reunião anual da RBRAS, Piracicaba, Brésil (2012)
• Chaubert-Pereira  F.,  Guédon  Y.,  Lavergne  C.,  Trottier  C. "Semi-Markov  switching linear  mixed  model  for  analyzing  forest  tree  development.",  International  Biometric Conference (IBC), Dublin, Irlande.
  
• Chaubert-Pereira F., Guédon Y., Lavergne C., Trottier C. "Estimating Markov and semi-Markov switching linear mixed models with individual-wise random effects.", Computational Statistic (2008) , COMPSTAT 2008,  18th Symposium of IASC, Volume II, pp. 11-18, Porto, Portugal
  
• Chaubert F., Caraglio Y., Lavergne C., Trottier C., Guédon Y. "A statistical model for analyzing jointly growth phases, the influence of environmental factors and inter-individual heterogeneity. Applications to forest trees.",  5th International Workshop on Functional-Structural Plant Models (2007), p. 43, Napier, New Zealand
• Martinez M.-J., Lavergne C. and Trottier C.,  "Finite mixture model for exponential repeated data.'',  International conference on Statistical Latent Variable Models in the Health Sciences, Perugia, Italie, (2006).
• M. Garrido, J. Diebolt, C. Trottier. "A Bayesian Regularization Procedure for a Better Extremal Fit.", Extremes 2001, International Symposium on Extreme Value Analysis: Theory and Practice, Leuven, Belgique (2001)
• Trottier C. & Diebolt J. "Adjusting density functions for a better extremal fit.", Second International Conference on Mathematical Methods in Reliability, Bordeaux, France (2000)
  
• Lavergne C., Trottier C. "From a conditional to a marginal point of view in GL2M.", International Workshop on Statistical Modelling, Proceedings in Good Statistical Practice (1997), pp. 205-209, Biel/Bienne, Suisse 

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