mailitics

Category: cs.CG

  • Geometric structures and deviations on James’ symmetric positive-definite matrix bicone domain

    Geometric structures and deviations on James’ symmetric positive-definite matrix bicone domain arXiv:2603.02483v1 Announce Type: new Abstract: Symmetric positive-definite (SPD) matrix datasets play a central role across numerous scientific disciplines, including signal processing, statistics, finance, computer vision, information theory, and machine learning among others. The set of SPD matrices forms a cone which can be viewed…

  • Topological Machine Learning with Unreduced Persistence Diagrams

    Topological Machine Learning with Unreduced Persistence Diagrams arXiv:2507.07156v1 Announce Type: new Abstract: Supervised machine learning pipelines trained on features derived from persistent homology have been experimentally observed to ignore much of the information contained in a persistence diagram. Computing persistence diagrams is often the most computationally demanding step in such a pipeline, however. To explore…