2 citations · 3 across the 5 of their papers we have counts for
3 papers · 1 filter
Choosing the Geometry: valuations, norms, and contours
Jens Agerberg, Wojciech Chachólski, Christina Kapatsori
We develop a general framework for constructing pseudometrics on objects of Abelian categories using valuations, which assign non-negative costs to morphisms. Specializing to finit…
Algebraic Wasserstein distances and stable homological invariants of data
Jens Agerberg, Andrea Guidolin, Isaac Ren +1
Distances have a ubiquitous role in persistent homology, from the direct comparison of homological representations of data to the definition and optimization of invariants. In this…
Data, geometry and homology
Jens Agerberg, Wojciech Chacholski, Ryan Ramanujam
Homology-based invariants can be used to characterize the geometry of datasets and thereby gain some understanding of the processes generating those datasets. In this work we inves…