Construct · 1 fields · 1 citations

persistent homology: a standalone construct

One name. One construct. A landmark on the map.

● anchor · a standalone construct Nearest construct by meaning·not indexed

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Graph theory

method that tracks topological features such as components and holes across a nested sequence of scales, summarizing the shape of data in barcodes or diagrams.

In graph theory, persistent homology refers to method that tracks topological features such as components and holes across a nested sequence of scales, summarizing the shape of data in barcodes or diagrams. This meaning comes from Edelsbrunner (2002) in Discrete & Computational Geometry.[1]

Unit
Recovery means
Measured by

Run it through the Collider, or take the citations with you.

See how persistent homology sits against neighbouring constructs in the Collider, or export every reference on this page in one click.

Open in Collider Export BibTeX Report this entry

Nearby constructs

barcode4 fields · 5 citationsjingle · one word, four constructs homology4 fields · 8 citationsjingle · one word, four constructs sequence3 fields · 3 citationsjingle · one word, three constructs

References

Edelsbrunner, Letscher, & Zomorodian (2002). Topological Persistence and Simplification. Discrete & Computational Geometry, 28(4), 511-533. https://doi.org/10.1007/s00454-002-2885-2

Cited on this page?

Confirm your construct, or correct us.

If your work is cited behind one of these entries, you know better than we do whether we captured the meaning right. Confirm it, suggest an edit, or dispute it, and your name goes on the entry as an author who has checked it, linked to your ORCID.

Claim your construct