research
∙
06/06/2023
Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures
Persistent homology (PH) provides topological descriptors for geometric ...
share
research
∙
12/14/2022
Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction
The circular coordinates algorithm of de Silva, Morozov, and Vejdemo-Joh...
research
∙
07/30/2022
On the bottleneck stability of rank decompositions of multi-parameter persistence modules
The notion of rank decomposition of a multi-parameter persistence module...
research
∙
06/13/2022
Fiberwise dimensionality reduction of topologically complex data with vector bundles
Datasets with non-trivial large scale topology can be hard to embed in l...
research
∙
12/22/2021
On the stability of multigraded Betti numbers and Hilbert functions
Multigraded Betti numbers are one of the simplest invariants of multipar...
research
∙
04/15/2021
Approximate and discrete Euclidean vector bundles
We introduce ε-approximate versions of the notion of Euclidean vector bu...
research
∙
07/01/2020
The Integers as a Higher Inductive Type
We consider the problem of defining the integers in Homotopy Type Theory...
research
∙
05/18/2020
Stable and consistent density-based clustering
We present a consistent approach to density-based clustering, which sati...
research
∙
02/04/2019