7 citations · 7 across the 2 of their papers we have counts for
4 papers
Cyclicality, Periodicity and the Topology of Time Series
Paweł Dłotko, Wanling Qiu, Simon Rudkin
Periodic and semi periodic patterns are very common in nature. In this paper we introduce a topological toolbox aiming in detecting and quantifying periodicity. The presented techn…
Quantifying topological invariants of neuronal morphologies
Lida Kanari, Paweł Dłotko, Martina Scolamiero +4
Nervous systems are characterized by neurons displaying a diversity of morphological shapes. Traditionally, different shapes have been qualitatively described based on visual inspe…
Physics inspired algorithms for (co)homology computation
Paweł Dłotko, Ruben Specogna
The issue of computing (co)homology generators of a cell complex is gaining a pivotal role in various branches of science. While this issue can be rigorously solved in polynomial t…
Computing homology and persistent homology using iterated Morse decomposition
Paweł Dłotko, Hubert Wagner
In this paper we present a new approach to computing homology (with field coefficients) and persistent homology. We use concepts from discrete Morse theory, to provide an algorithm…