19 citations · 30 across the 9 of their papers we have counts for
4 papers · 1 filter
Topological Data Analysis: Concepts, Computation, and Applications in Chemical Engineering
Alexander D. Smith, Pawel Dlotko, Victor M. Zavala
A primary hypothesis that drives scientific and engineering studies is that data has structure. The dominant paradigms for describing such structure are statistics (e.g., moments,…
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…
Ball mapper: a shape summary for topological data analysis
Paweł Dłotko
Topological data analysis provides a collection of tools to encapsulate and summarize the shape of data. Currently it is mainly restricted to \emph{mapper algorithm} and \emph{pers…
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…