34 citations · 37 across the 2 of their papers we have counts for
3 papers
cs.CG2019★ 3 cited
Topological Data Analysis in Information Space
Herbert Edelsbrunner, Ziga Virk, Hubert Wagner
Various kinds of data are routinely represented as discrete probability distributions. Examples include text documents summarized by histograms of word occurrences and images repre…
astro-ph.CO2018★ 34 cited
Unexpected Topology of the Temperature Fluctuations in the Cosmic Microwave Background
Pratyush Pranav, Robert J. Adler, Thomas Buchert +5
We study the topology generated by the temperature fluctuations of the Cosmic Microwave Background (CMB) radiation, as quantified by the number of components and holes, formally gi…
math.AT2012
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…