Articles

Bertrand P., Diatta J. (2024), An interval convexity-based framework for multilevel clustering with applications to single-linkage clustering, Discrete Applied Mathematics, vol. 342, p. 38-63

Bertrand P., Diatta J. (2017), Multilevel clustering models and interval convexities, Discrete Applied Mathematics, vol. 222, n°11, p. 54-66

Carvalho F., Bertrand P., Simões E. (2016), Batch SOM algorithms for interval-valued data with automatic weighting of the variables, Neurocomputing, vol. 182, p. 66-81

Bertrand P., Diatta J. (2013), Prepyramidal clustering and Robinsonian dissimilarities: one‐to‐one correspondences, Wiley Interdisciplinary Reviews. Data Mining and Knowledge Discovery, vol. 3, n°4, p. 290-297

Bertrand P., Diatta J. (2013), Prepyramidal clustering and Robinsonian dissimilarities: one-to-one correspondences, Wiley Interdisciplinary Reviews. Data Mining and Knowledge Discovery, vol. 3, n°4, p. 290-297

Bertrand P. (2010), Classifications en classes recouvrantes ou non, et leurs dissimilarités, Mathematiques et sciences humaines, vol. 2, n°190, p. 59-87

Bertrand P. (2008), Systems of sets such that each set properly intersects at most one other set - Application to cluster analysis, Discrete Applied Mathematics, vol. 156, n°8, p. 1220-1236

Bertrand P., Bel Mufti G. (2006), Loevinger's measures of rule quality for assessing cluster stability, Computational Statistics & Data Analysis, vol. 50, n°4, p. 992-1015

Csernel M., Bertrand P. (2005), Comparaison de manuscrits sanskrits (édition critique et classification), MODULAD, n°33, p. 1-20

Bertrand P., Janowitz M. (2003), The k-weak hierarchical representations: an extension of the indexed closed weak hierarchies, Discrete Applied Mathematics, vol. 127, n°2, p. 199-220

Bertrand P., Janowitz M. (2002), Pyramids and Weak Hierarchies in The Ordinal Model for Clustering, Discrete Applied Mathematics, vol. 122, n°1-3, p. 55-81

Bertrand P. (2000), Set Systems and Dissimilarities, European Journal of Combinatorics, vol. 21, n°6, p. 727-743

Chapitres d'ouvrage

Bertrand P., Diatta J. (2014), Weak Hierarchies: A Central Clustering Structure, in Pardalos, Panos M., Clusters, Orders, and Trees: Methods and Applications, Berlin: Springer, p. 211-230

Bertrand P., Bel Mufti G. (2008), Stability measures for assessing a partition and its clusters: application to symbolic data sets., in E. Diday (Editor), M. Noirhomme-Fraiture (Co-Editor), Symbolic Data Analysis and the SODAS Software., Chichester: Wiley, p. 263-278

Brucker F., Bertrand P. (2007), On Lower-Maximal Paired-Ultrametrics, in Brito, P., Cucumel, G., Bertrand, P., De Carvalho, F., Selected Contributions in Data Analysis and Classification, Berlin: Springer, p. 455-464

Bertrand P., Csernel M. (2007), Sanskrit Manuscript Comparison for Critical Edition and Classification, in Brito, P., Cucumel, G., Bertrand, P., De Carvalho, F., Selected Contributions in Data Analysis and Classification, Berlin: Springer, p. 557-566

Trousse B., Bertrand P., Chelcea S. (2005), A New Agglomerative 2-3 Hierarchical Clustering Algorithm, in Baier D., Wernecke, K.-D., Innovations in Classification, Data Science, and Information Systems, Berlin: Springer, p. 3-10

Bertrand P., Goupil F. (2000), Descriptive Statistics for Symbolic Data, in Bock, H.-H. & Diday, E., Analysis of Symbolic Data, Exploratory methods for extracting statistical information from complex data, Berlin: Springer, p. 106-124

Bertrand P. (1995), Structural Properties of pyramidal clustering, in Cox, I., Hansen, P., Julesz, B., DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 19 American Mathematical Society, p. 35-53

Communications avec actes

Essoussi N., Bertrand P. (2010), Kernel Overlapping K-Means for Clustering in Feature Space, in Fred, Ana L.N., Filipe, Joachim, KDIR 2010 - Proceedings of the International Conference on Knowledge Discovery and Information Retrieval, Valencia, Spain, October 25-28, 2010, Valence, SciTe Press, 250-255 p.

Communications sans actes

Bertrand P., Diatta J. (2022), Hierarchies and Weak-hierarchies as Interval Convexities, 17th Conference of the International Federation of Classification Societies, Porto, Portugal

Bertrand P., Diatta J. (2019), Hiérarchies, hiérarchies faibles et convexités d’intervalle, 26 ème Rencontres de la Société Francophone de Classification, Nancy, France

Bertrand P., Diatta J. (2014), Convexités d'intervalle et systèmes de classification, 21ièmes Rencontres de la Société Francophone de Classification, Rabat

Bertrand P., Diatta J. (2012), Séparation ternaire et propriété de convexité des structures de classification, XIXèmes Rencontres de la Société Francophone de Classification, Marseille

Prépublications / Cahiers de recherche

Bertrand P., Diatta J. (2022), An interval convexity-based framework for multilevel clustering with applications to single-linkage clustering, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 33 p.

De A. T. De Carvalho F., Bertrand P., De Melo F. (2012), Batch self-organizing maps based on city-block distances for interval variables, Paris, Université Paris-Dauphine, 15 p.

Bel Mufti G., El Moubarki L., Bertrand P. (2012), Decomposition of the Rand index in order to assess both the stability and the number of clusters of a partition, Paris, Université Paris-Dauphine, 22 p.

Bertrand P. (2002), Set systems for which each set properly intersects at most one other set - Application to pyramidal clustering, Paris, Cahiers du CEREMADE

Bertrand P., Bel Mufti G. (2001), Stability of individual clusters, Cahiers du CEREMADE, 16 p.

Editoriaux, directions de revue

Saporta G., Bertrand P. (2008), Some Recent Trends in Applied Stochastic Modeling and Multidimensional Data Analysis - Editorial, Computational Statistics & Data Analysis, vol. 52, n° 6, p. 3164–3166