Elsa Cazelles

Publications

Article dans une revue (8)

Low dimensional representation of multi-patient flow cytometry datasets using optimal transport for minimal residual disease detection in leukemia Erell Gachon,Jérémie Bigot,Elsa Cazelles,Audrey Bidet,Jean-Philippe Vialet al. Cytometry Part A, 2025 Article dans une revue hal-04661639v1
On the sequential convergence of Lloyd's algorithms Léo Portales,Elsa Cazelles,Edouard Pauwels Mathematics of Operations Research, In press, 23 p Article dans une revue hal-04593982v4
Computationally-efficient initialisation of GPs: The generalised variogram method Felipe Tobar,Elsa Cazelles,Taco de Wolff Transactions on Machine Learning Research Journal, 2023, pp.1-24. ⟨10.48550/arXiv.2210.05394⟩ Article dans une revue hal-03814966v3
The Wasserstein-Fourier Distance for Stationary Time Series Elsa Cazelles,Arnaud Robert,Felipe Tobar IEEE Transactions on Signal Processing, 2021, 69, pp.709-721. ⟨10.1109/TSP.2020.3046227⟩ Article dans une revue hal-03115531v1
Penalization of Barycenters in the Wasserstein Space Jérémie Bigot,Elsa Cazelles,Nicolas Papadakis SIAM Journal on Mathematical Analysis, 2019, 51 (3), pp.2261-2285 Article dans une revue hal-01564007v1
Data-driven regularization of Wasserstein barycenters with an application to multivariate density registration Jérémie Bigot,Elsa Cazelles,Nicolas Papadakis Information and Inference, 2019, 8 (4), pp.719-755. ⟨10.1093/imaiai/iaz023⟩ Article dans une revue hal-01790015v1
Central limit theorems for entropy-regularized optimal transport on finite spaces and statistical applications Jérémie Bigot,Elsa Cazelles,Nicolas Papadakis Electronic Journal of Statistics , 2019, 13 (2), pp.5120-5150 Article dans une revue hal-01647869v2
Log-PCA versus Geodesic PCA of histograms in the Wasserstein space Elsa Cazelles,Vivien Seguy,Jérémie Bigot,Marco Cuturi,Nicolas Papadakis SIAM Journal on Scientific Computing, 2018, 40 (2), pp.B429-B456 Article dans une revue hal-01581699v2

Communication dans un congrès (5)

Efficient Gaussian Process learning via subspace projections Elsa Cazelles,Felipe Tobar IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), May 2026, Barcelone, Spain Communication dans un congrès hal-05484277v1
Audio signal interpolation using optimal transportation of spectrograms David Valdivia,Marien Renaud,Elsa Cazelles,Cédric Févotte IEEE Workshop on Statistical Signal Processing (SSP), 2025, Edinburgh, United Kingdom Communication dans un congrès hal-04960810v2
Machine learning and optimal transport: some statistical and algorithmic tools Elsa Cazelles Journées MAS 2020 - Random Modelization and Physics, Aug 2021, Orléans-Tours, France. pp.158 - 168, ⟨10.1051/proc/202374158⟩ Communication dans un congrès hal-04600804v1
A novel notion of barycenter for probability distributions based on optimal weak mass transport Elsa Cazelles,Felipe Tobar,Joaquin Fontbona Thirty-fifth Conference on Neural Information Processing Systems (NeurIPS 2021), NIPS: Neural Information Processing Systems Foundation, Dec 2021, Online, France. ⟨10.48550/arXiv.2102.13380⟩ Communication dans un congrès hal-03160475v3
Regularized Barycenters in the Wasserstein Space Elsa Cazelles,Jérémie Bigot,Nicolas Papadakis 3rd International Conference Geometric Science of Information (GSI'17), Nov 2017, Paris, France. pp.83-90, ⟨10.1007/978-3-319-68445-1_10⟩ Communication dans un congrès hal-03594772v1

Pré-publication, Document de travail (6)

PCA of Probability Measures: Sparse and Dense Sampling Regimes Erell Gachon,Jérémie Bigot,Elsa Cazelles 2026 Pré-publication, Document de travail hal-05489756v1
Scalable Learning from Probability Measures with Mean Measure Quantization Erell Gachon,Elsa Cazelles,Jérémie Bigot 2026 Pré-publication, Document de travail (preprint/prepublication) hal-04941078v2
Sample complexity of optimal transport barycenters with discrete support Léo Portales,Edouard Pauwels,Elsa Cazelles 2025 Pré-publication, Document de travail hal-05087164v2
On the Wasserstein geodesic principal component analysis of probability measures Nina Vesseron,Elsa Cazelles,Alice Le Brigant,Thierry Klein 2025 Pré-publication, Document de travail hal-05133250v1
Busemann Functions in the Wasserstein Space: Existence, Closed-Forms, and Applications to Slicing Clément Bonet,Elsa Cazelles,Lucas Drumetz,Nicolas Courty 2025 Pré-publication, Document de travail hal-05307431v1
Regularization of barycenters in the Wasserstein space Jérémie Bigot,Cazelles Elsa,Nicolas Papadakis 2016 Pré-publication, Document de travail hal-01333397v1

Thèse (1)

Propriétés statistiques du barycentre dans l’espace de Wasserstein Elsa Cazelles Mathématiques générales [math.GM]. Université de Bordeaux, 2018. Français. ⟨NNT : 2018BORD0125⟩ Thèse tel-01928219v1