1 code implementation • 16 Feb 2021 • Gabriele Beltramo, Rayna Andreeva, Ylenia Giarratano, Miguel O. Bernabeu, Rik Sarkar, Primoz Skraba
While topological data analysis of higher-dimensional parameter spaces using stronger invariants such as homology continues to be the subject of intense research, Euler characteristic is more manageable theoretically and computationally, and this analysis can be seen as an important intermediary step in multi-parameter topological data analysis.
Topological Data Analysis Algebraic Topology Computational Geometry
no code implementations • 30 Jun 2020 • Primoz Skraba, Katharine Turner
Most results in the literature phrase stability in terms of the bottleneck distance between diagrams and the $\infty$-norm of perturbations.
Topological Data Analysis Algebraic Topology
3 code implementations • 29 May 2019 • Rickard Brüel-Gabrielsson, Bradley J. Nelson, Anjan Dwaraknath, Primoz Skraba, Leonidas J. Guibas, Gunnar Carlsson
Topology applied to real world data using persistent homology has started to find applications within machine learning, including deep learning.
no code implementations • 29 Nov 2018 • Rickard Brüel Gabrielsson, Vignesh Ganapathi-Subramanian, Primoz Skraba, Leonidas J. Guibas
We present an approach to inform the reconstruction of a surface from a point scan through topological priors.
Computational Geometry Graphics
no code implementations • 22 Dec 2015 • Jan Rupnik, Andrej Muhic, Gregor Leban, Primoz Skraba, Blaz Fortuna, Marko Grobelnik
Within a recently developed system Event Registry we examine two aspects of this problem: how to compare articles in different languages and how to link collections of articles in different languages which refer to the same event.