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Persistence barcode

In topological data analysis, a persistence barcode, sometimes shortened to barcode, is an algebraic invariant associated with a filtered chain complex or a persistence module that characterizes the stability of topological features throughout a growing family of spaces. Formally, a persistence barcode consists of a multiset of intervals in the extended…

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Persistence barcode

Nodes27
Edges26
Triples1
Avg. degree1.93
Density0.074074
Components1

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Persistence barcode

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is a · 1
Persistence barcode → complete invariant that captures all the topological information in a filtration

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Important terminology

persistence displaystyle barcode intervals mathbb module chain complex multiset topological filtration filtered interval invariant spaces sometimes canonical data algebraic features

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SubjectPredicateObjectConfidenceSrc
Persistence barcodeis acomplete invariant that captures all the topological information in a filtration0.90text

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