74 citations · 74 across the 1 of their papers we have counts for
3 papers · 1 filter
The Depth Poset under Transpositions in the Filter
Herbert Edelsbrunner, Michał Lipiński, Marian Mrozek +2
The depth poset of a filtered Lefschetz complex reflects the dependencies between the cancellations of different shallow birth-death pairs. Using the fast algorithms for computing…
The poset of cancellations induced by gradient dynamics in a filtered Lefschetz complex
Herbert Edelsbrunner, Michał Lipiński, Marian Mrozek +1
Motivated by questions about simplification of topology, we take a discrete approach to the dependency of simplifying operations, using methods based on combinatorial gradient dyna…
A Survey of Vectorization Methods in Topological Data Analysis
Dashti Ali, Aras Asaad, Maria-Jose Jimenez +3
Attempts to incorporate topological information in supervised learning tasks have resulted in the creation of several techniques for vectorizing persistent homology barcodes. In th…