4 papers
Computing the Matching Distance of 2-Parameter Persistence Modules from Critical Values
Asilata Bapat, Robyn Brooks, Celia Hacker +3
The exact computation of the matching distance for multi-parameter persistence modules is an active area of research in computational topology. Achieving an easily obtainable exact…
A sphere of spherical objects
Asilata Bapat, Anand Deopurkar, Anthony M. Licata
Given a Bridgeland stability condition on a 2-Calabi--Yau category, we define a simplicial complex that encodes the Harder--Narasimhan filtrations of spherical objects. For 2-Calab…
Wigglyhedra
Asilata Bapat, Vincent Pilaud
Motivated by categorical representation theory, we define the wiggly complex, whose vertices are arcs wiggling around points on a line, and whose faces are sets of wiggly arc…
MatrixNet: Learning over symmetry groups using learned group representations
Lucas Laird, Circe Hsu, Asilata Bapat +1
Group theory has been used in machine learning to provide a theoretically grounded approach for incorporating known symmetry transformations in tasks from robotics to protein model…