ScholarLens Back to search
2014•Unpublished venueRequires access

Computing Topological Persistence for Simplicial Maps

Tamal K. Dey, Fengtao Fan, Yusu Wang

Open publisher page 109 citations

Abstract

Algorithms for persistent homology are well-studied where homomorphisms are induced by inclusion maps. In this paper, we propose a practical algorithm for computing persistence under Z2 coefficients for a (monotone) sequence of general simplicial maps and show how these maps arise naturally in some applications of topological data analysis.

About this research paper

What this paper is about

Algorithms for persistent homology are well-studied where homomorphisms are induced by inclusion maps. In this paper, we propose a practical algorithm for computing persistence under Z2 coefficients for a (monotone) sequence of general simplicial maps and show how these maps arise naturally in some applications of topological data analysis.

Why it matters

OpenAlex reports 109 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Algorithms for persistent homology are well-studied where homomorphisms are induced by inclusion maps. In this paper, we propose a practical algorithm for computing persistence under Z2 coefficients for a (monotone) sequence of general simplicial maps and show how these maps arise naturally in some applications of topological data analysis.

Key concepts: Persistent homology, Topological data analysis, Simplicial homology, Simplicial complex, Monotone polygon, Homomorphism, Persistence (discontinuity), Homology (biology)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Computing Topological Persistence for Simplicial Maps — Research Paper | ScholarLens