74 citations · 266 across the 25 of their papers we have counts for
5 papers · 1 filter
A Survey of Vectorization Methods in Topological Data Analysis
Dashti Ali, Aras Asaad, Maria-Jose Jimenez +3
Attempts to incorporate topological information in supervised learning tasks have resulted in the creation of several techniques for vectorizing persistent homology barcodes. In th…
Harder-Narasimhan Filtrations and Zigzag Persistence
Marc Fersztand, Vidit Nanda, Ulrike Tillmann
We introduce a sheaf-theoretic stability condition for finite acyclic quivers. Our main result establishes that for representations of affine type quivers,…
Topological Inference of the Conley Index
Ka Man Yim, Vidit Nanda
The Conley index of an isolated invariant set is a fundamental object in the study of dynamical systems. Here we consider smooth functions on closed submanifolds of Euclidean space…
Morse Theory for Complexes of Groups
Naya Yerolemou, Vidit Nanda
We construct an equivariant version of discrete Morse theory for simplicial complexes endowed with group actions. The key ingredient is a 2-categorical criterion for making acyclic…
A Topological Approach to Mapping Space Signatures
Chad Giusti, Darrick Lee, Vidit Nanda +1
A common approach for describing classes of functions and probability measures on a topological space is to construct a suitable map from into a vec…