no code implementations • 13 Oct 2023 • Martin Uray, Barbara Giunti, Michael Kerber, Stefan Huber
Topological Data Analysis (TDA) is a mathematical method using techniques from topology for the analysis of complex, multi-dimensional data that has been widely and successfully applied in several fields such as medicine, material science, biology, and others.
no code implementations • NeurIPS Workshop TDA_and_Beyond 2020 • Michael Kerber
Multi-parameter persistent homology is a branch of topological data analysis that is notorious for being more difficult than the standard (one-parameter) version, both in theory and for algorithmic problems.
no code implementations • 26 Sep 2018 • René Corbet, Ulderico Fugacci, Michael Kerber, Claudia Landi, Bei Wang
Topological data analysis and its main method, persistent homology, provide a toolkit for computing topological information of high-dimensional and noisy data sets.
2 code implementations • 3 Mar 2013 • Ulrich Bauer, Michael Kerber, Jan Reininghaus
We present a parallelizable algorithm for computing the persistent homology of a filtered chain complex.
Algebraic Topology