no code implementations • 14 Feb 2024 • Theodore Papamarkou, Tolga Birdal, Michael Bronstein, Gunnar Carlsson, Justin Curry, Yue Gao, Mustafa Hajij, Roland Kwitt, Pietro Liò, Paolo Di Lorenzo, Vasileios Maroulas, Nina Miolane, Farzana Nasrin, Karthikeyan Natesan Ramamurthy, Bastian Rieck, Simone Scardapane, Michael T. Schaub, Petar Veličković, Bei Wang, Yusu Wang, Guo-Wei Wei, Ghada Zamzmi
Topological deep learning (TDL) is a rapidly evolving field that uses topological features to understand and design deep learning models.
no code implementations • 3 Apr 2023 • William Bernardoni, Robert Cardona, Jacob Cleveland, Justin Curry, Robert Green, Brian Heller, Alan Hylton, Tung Lam, Robert Kassouf-Short
In this paper we introduce some new algebraic and geometric perspectives on networked space communications.
no code implementations • 22 Dec 2021 • Robert Cardona, Justin Curry, Tung Lam, Michael Lesnick
Adapting a definition given by Bjerkevik and Lesnick for multiparameter persistence modules, we introduce an $\ell^p$-type extension of the interleaving distance on merge trees.
1 code implementation • 23 Dec 2013 • Justin Curry, Robert Ghrist, Vidit Nanda
Sheaves and sheaf cohomology are powerful tools in computational topology, greatly generalizing persistent homology.
Algebraic Topology 55-04
3 code implementations • 13 Mar 2013 • Justin Curry
Inspired to provide fast algorithms for persistence, we prove that the derived category of cellular sheaves over a 1D cell complex is equivalent to a category of graded sheaves.
Algebraic Topology Representation Theory