143 citations · 581 across the 51 of their papers we have counts for
5 papers · 1 filter
Nudged Elastic Band in Topological Data Analysis
Henry Adams, Atanas Atanasov, Gunnar Carlsson
We use the nudged elastic band method from computational chemistry to analyze high-dimensional data. Our approach is inspired by Morse theory, and as output we produce an increasin…
Applications of Zigzag Persistence to Topological Data Analysis
Andrew Tausz, Gunnar Carlsson
The theory of zigzag persistence is a substantial extension of persistent homology, and its development has enabled the investigation of several unexplored avenues in the area of t…
Homological Coordinatization
Andrew Tausz, Gunnar Carlsson
In this paper, we review a method for computing and parameterizing the set of homotopy classes of chain maps between two chain complexes. This is then applied to finding topologica…
Computational topology for configuration spaces of hard disks
Gunnar Carlsson, Jackson Gorham, Matthew Kahle +1
We explore the topology of configuration spaces of hard disks experimentally, and show that several changes in the topology can already be observed with a small number of particles…
Controlled algebraic G-theory, I
Gunnar Carlsson, Boris Goldfarb
This paper extends the notion of geometric control in algebraic K-theory from additive categories with split exact sequences to other exact structures. In particular, we construct…