5 citations · 5 across the 1 of their papers we have counts for
5 papers
A Relative Theory of Interleavings
Magnus Bakke Botnan, Justin Curry, Elizabeth Munch
The interleaving distance, although originally developed for persistent homology, has been generalized to measure the distance between functors modeled on many posets or even small…
Cotorsion torsion triples and the representation theory of filtered hierarchical clustering
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann +1
We give a full classification of representation types of the subcategories of representations of an rectangular grid with monomorphisms (dually, epimorphisms) in one o…
Computing the interleaving distance is NP-hard
Håvard Bakke Bjerkevik, Magnus Bakke Botnan, Michael Kerber
We show that computing the interleaving distance between two multi-graded persistence modules is NP-hard. More precisely, we show that deciding whether two modules are -interlea…
Decomposition of persistence modules
Magnus Bakke Botnan, William Crawley-Boevey
We show that a pointwise finite-dimensional persistence module indexed over a small category decomposes into a direct sum of indecomposables with local endomorphism rings. As an ap…
Interval Decomposition of Infinite Zigzag Persistence Modules
Magnus Bakke Botnan
We show that every infinite zigzag persistence module decomposes into a direct sum of interval persistence modules.