Parameter Estimation in Finite Mixture Models by Regularized Optimal Transport: A Unified Framework for Hard and Soft Clustering
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | PAPADAKIS, Nicolas | |
hal.structure.identifier | Représentations musicales [Repmus] | |
dc.contributor.author | DESSEIN, Arnaud | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | DELEDALLE, Charles-Alban | |
dc.date.accessioned | 2024-04-04T03:07:59Z | |
dc.date.available | 2024-04-04T03:07:59Z | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193492 | |
dc.description.abstractEn | In this short paper, we formulate parameter estimation for finite mixture models in the context of discrete optimal transportation with convex regularization. The proposed framework unifies hard and soft clustering methods for general mixture models. It also generalizes the celebrated $k$\nobreakdash-means and expectation-maximization algorithms in relation to associated Bregman divergences when applied to exponential family mixture models. | |
dc.description.sponsorship | Generalized Optimal Transport Models for Image processing - ANR-16-CE33-0010 | |
dc.language.iso | en | |
dc.title.en | Parameter Estimation in Finite Mixture Models by Regularized Optimal Transport: A Unified Framework for Hard and Soft Clustering | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Informatique [cs]/Traitement du signal et de l'image | |
dc.subject.hal | Statistiques [stat]/Autres [stat.ML] | |
dc.identifier.arxiv | 1711.04366 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-01635325 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01635325v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=PAPADAKIS,%20Nicolas&DESSEIN,%20Arnaud&DELEDALLE,%20Charles-Alban&rft.genre=preprint |
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