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Nov 13, 2019   03:30 PM — 04:30 PM

Daniel Aloise Associate Professor, Department of Computer Engineering, Polytechnique Montréal, Canada

K-medoids clustering is among the most popular methods for cluster analysis, but it carries several assumptions about the nature of the latent clusters. In this work, we introduce the Convex Fuzzy k -Medoids (CFKM) model, whose underlying formulation not only relaxes the assumption that objects must be assigned entirely to one and only one medoid, but also that medoids must be assigned entirely to one and only one cluster. Moreover, due to its convexity, CFKM resolution is completely robust to initialization. We compare our model with two fuzzy k -medoids clustering models found in the literature: the Fuzzy k -Medoids (FKM) and the Fuzzy Clustering with Multi-Medoids (FMMdd), both solved approximately by heuristics because of their hard computational complexity. Our experiments in synthesized and real-world data sets reveal that our model can uniquely discover important aspects of clustered data which are inherently fuzzy in nature, besides being more robust regarding the hyperparameters of the fuzzy clustering task.


Coffee and biscuits will be offered at the beginning of the seminar.
Welcome to everyone!

Olivier Bahn organizer

Location

Room 4488
André-Aisenstadt Building
Université de Montréal Campus
2920, chemin de la Tour
Montréal QC H3T 1J4
Canada