Publications of Tom Szwagier

1. 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. Proceedings of Machine Learning Research, 196:269-276, November 2022. [bibtex-entry]

1. 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, Flag manifolds Riemannian logarithm Orthogonal alignment Procrustes analysis. [bibtex-entry]

1. Tom Szwagier, Guillaume Olikier, and Xavier Pennec. Eigengap Sparsity for Covariance Parsimony. Note: Working paper or preprint, April 2025. Keyword(s): Covariance estimation, Parsimony, Eigengaps, Flag manifolds, Monotone cone, Isotonic regression. [bibtex-entry]



2. Tom Szwagier and Xavier Pennec. Nested Subspace Learning with Flags. Note: Working paper or preprint, April 2025. Keyword(s): subspace learning, Grassmann manifolds, flag manifolds, nested subspaces, dimensionality reduction. [bibtex-entry]



3. Tom Szwagier and Xavier Pennec. The curse of isotropy: from principal components to principal subspaces. Note: Working paper or preprint, August 2024. Keyword(s): Principal Component Analysis, Isotropy, Interpretability, Parsimonious Models, Flag Manifolds. [bibtex-entry]

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