4 papers
Tropical -means clustering for phylogenetic trees
Fabian Lenzen, Lena Weis
The asymmetric tropical distance is a distance measure on the tropical torus and in particular on the Bergman fan $B(K_N) \subseteq \mathbb{R}^{…
An Empirically Fast Las Vegas Algorithm for Algebraic Shifting
Antony Della Vecchia, Michael Joswig, Fabian Lenzen
Improved algorithms for computing (partial and full) exterior algebraic shifts of hypergraphs and simplicial complexes are presented. The main benefit is in positive characteristic…
Persistent Cycle Representatives and Generalized Landscapes for Codimension 1 Persistent Homology
Fabian Lenzen, Leon Renkin
For a filtered simplicial complex embedded in , the merge tree of the complement of induces a forest structure on the persistent homology via Ale…
Partial Algebraic Shifting
Antony Della Vecchia, Michael Joswig, Fabian Lenzen
We study algebraic shifting of uniform hypergraphs and finite simplicial complexes in the exterior algebra with respect to matrices which are not necessarily generic. Several quest…