Search Results for author: Michael Kerber

Found 4 papers, 1 papers with code

Topological Data Analysis in smart manufacturing processes -- A survey on the state of the art

no code implementations13 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.

Topological Data Analysis

Multi-Parameter Persistent Homology is Practical (Extended Abstract)

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.

Topological Data Analysis

A Kernel for Multi-Parameter Persistent Homology

no code implementations26 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.

BIG-bench Machine Learning Topological Data Analysis

Clear and Compress: Computing Persistent Homology in Chunks

2 code implementations3 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

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