extract_persistence_pairs

This function extracts the persistence from combining the boundary matrix and its filtration

Provides an implementation of simplicial complexes for
Topological Data Analysis (TDA). The package includes functions to
compute faces, boundary operators, Betti numbers, Euler characteristic,
and to construct simplicial complexes. It also implements persistent
homology, from building filtrations to computing persistence diagrams,
with the aim of helping readers understand the core concepts of
computational topology.
Methods are based on standard references in persistent homology such as
Zomorodian and Carlsson (2005) <doi:10.1007/s00454-004-1146-y> and
Chazal and Michel (2021) <doi:10.3389/frai.2021.667963>.

ChiChien Wang

SimplicialComplex

Topological Data Analysis: Simplicial Complex

extract_persistence_pairs function

<dl><dt>filist</dt>
<dd>Filtration list, each element includes simplex and time.</dd>
<dt>last_1</dt>
<dd>The last 1 row index for each column in boundary matrix.</dd>
<dt>pivot_owner</dt>
<dd>The column index owning the pivot row.</dd></dl>

Arguments

This function extracts the persistence from combining the boundary matrix and its filtration — extract_persistence_pairs

<dl>

<dt>filist</dt>
<dd>Filtration list, each element includes simplex and time.</dd>


<dt>last_1</dt>
<dd>The last 1 row index for each column in boundary matrix.</dd>


<dt>pivot_owner</dt>
<dd>The column index owning the pivot row.</dd>

</dl>

extract_persistence_pairs: This function extracts the persistence from combining the boundary matrix and its filtration

Description

Usage

Value

Arguments

Examples