Publications of Tom Szwagier

1. Tom Szwagier. Rethinking statistical methods with flags. Theses, Université Côte d'Azur, November 2025. Keyword(s): Parsimony, Principal component analysis, Riemannian geometry, Statistics, Covariance matrices, Flag manifolds, Analyse en composantes principales, Matrices de covariance, Géométrie riemannienne, Variétés de drapeaux, Statistiques, Parcimonie. [bibtex-entry]

1. Tom Szwagier, Pierre-Alexandre Mattei, Charles Bouveyron, and Xavier Pennec. Parsimonious Gaussian mixture models with piecewise-constant eigenvalue profiles. Statistics and Computing, 36(3):95, February 2026. Keyword(s): Model Selection, EM Algorithm, Eigenvalues, Parsimonious Models, Gaussian Mixture Models. [bibtex-entry]



2. Tom Szwagier and Xavier Pennec. Nested Subspace Learning with Flags. Journal of Machine Learning Research, 2026. Keyword(s): dimensionality reduction, nested subspaces, flag manifolds, Grassmann manifolds, subspace learning. [bibtex-entry]



3. Tom Szwagier and Xavier Pennec. The curse of isotropy: from principal components to principal subspaces. Statistical Science, 2026. Keyword(s): Flag Manifolds, Parsimonious Models, Interpretability, Isotropy, Principal Component Analysis. [bibtex-entry]

1. Tom Szwagier, Guillaume Olikier, and Xavier Pennec. Eigengap Sparsity for Covariance Parsimony. In Proc. of the 7th International Conference on Geometric Science of Information - GSI'25, volume LNCS 16034 of Lecture Notes in Computer Science, Saint-Malo (35400), France, pages pp 50-59, October 2025. Keyword(s): Isotonic regression, Monotone cone, Flag manifolds, Eigengaps, Parsimony, Covariance estimation. [bibtex-entry]



2. Tom Szwagier and Xavier Pennec. Rethinking the Riemannian Logarithm on Flag Manifolds as an Orthogonal Alignment Problem. In Lecture Notes in Computer Science, volume 14071 of Lecture Notes in Computer Science, Saint-Malo, (France), France, pages 375-383, August 2023. Springer Nature Switzerland. Keyword(s): Flag manifolds Riemannian logarithm Orthogonal alignment Procrustes analysis, Procrustes analysis, Orthogonal alignment, Riemannian logarithm, Flag manifolds. [bibtex-entry]



3. Adele Myers, Saiteja Utpala, Shubham Talbar, Sophia Sanborn, Christian Shewmake, Claire Donnat, Johan Mathe, Umberto Lupo, Rishi Sonthalia, Xinyue Cui, Tom Szwagier, Arthur Pignet, Andri Bergsson, Soren Hauberg, Dmitriy Nielsen, Stefan Sommer, David Klindt, Erik Hermansen, Melvin Vaupel, Benjamin Dunn, Jeffrey Xiong, Noga Aharony, Itsik Pe'Er, Felix Ambellan, Martin Hanik, Esfandiar Nava-Yazdani, Christoph von Tycowicz, and Nina Miolane. ICLR 2022 Challenge for Computational Geometry & Topology: Design and Results. In Topological, Algebraic and Geometric Learning Workshops 2022, volume 196 of Topological, Algebraic and Geometric Learning Workshops 2022, Virtual conference, France, pages 269-276, 2022. [bibtex-entry]

This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All person copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.

Les documents contenus dans ces répertoires sont rendus disponibles par les auteurs qui y ont contribué en vue d'assurer la diffusion à temps de travaux savants et techniques sur une base non-commerciale. Les droits de copie et autres droits sont gardés par les auteurs et par les détenteurs du copyright, en dépit du fait qu'ils présentent ici leurs travaux sous forme électronique. Les personnes copiant ces informations doivent adhérer aux termes et contraintes couverts par le copyright de chaque auteur. Ces travaux ne peuvent pas être rendus disponibles ailleurs sans la permission explicite du détenteur du copyright.

This document was translated from BibT_EX by bibtex2html