September 17, 2024
4:00PM
-
5:00PM
Cockins 312
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2024-09-17 15:00:00
2024-09-17 16:00:00
Topology, Geometry and Data Seminar - Nick Bermingham
Nick BerminghamThe Ohio State UniversityTitleThe Persistent Cup Length FunctionAbstractIn Topological Data Analysis we are often trying to find easily computable topological invariants for a given dataset for the purposes of comparison with other datasets or individual analysis of the features of a given dataset. One such invariant is the persistent cup length function which utilises the ring structure of the cohomology groups at each point in the filtration to enrich the standard persistent cohomology barcodes. This function can be computed by creating a persistent cup length diagram from the collection of cocycle representatives used to calculate the persistent cohomology barcodes in programs like Ripser.
Cockins 312
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America/New_York
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2024-09-17 16:00:00
2024-09-17 17:00:00
Topology, Geometry and Data Seminar - Nick Bermingham
Nick BerminghamThe Ohio State UniversityTitleThe Persistent Cup Length FunctionAbstractIn Topological Data Analysis we are often trying to find easily computable topological invariants for a given dataset for the purposes of comparison with other datasets or individual analysis of the features of a given dataset. One such invariant is the persistent cup length function which utilises the ring structure of the cohomology groups at each point in the filtration to enrich the standard persistent cohomology barcodes. This function can be computed by creating a persistent cup length diagram from the collection of cocycle representatives used to calculate the persistent cohomology barcodes in programs like Ripser.
Cockins 312
America/New_York
public
Nick Bermingham
The Ohio State University
Title
The Persistent Cup Length Function
Abstract
In Topological Data Analysis we are often trying to find easily computable topological invariants for a given dataset for the purposes of comparison with other datasets or individual analysis of the features of a given dataset. One such invariant is the persistent cup length function which utilises the ring structure of the cohomology groups at each point in the filtration to enrich the standard persistent cohomology barcodes. This function can be computed by creating a persistent cup length diagram from the collection of cocycle representatives used to calculate the persistent cohomology barcodes in programs like Ripser.
