simplcial_complex

Construct adjacency matrix of the simplicial complex

The Mapper algorithm from Topological Data Analysis, the steps are as follows 1. Define a filter (lens) function on the data. 2. Perform clustering within each level set. 3. Generate a complex from the clustering results.

ChiChien Wang

MapperAlgo

Topological Data Analysis: Mapper Algorithm

Paul Pearson

Daniel Muellner

Gurjeet Singh

simplcial_complex function

<dl><dt>filter_values</dt>
<dd>A matrix of filter values.</dd>
<dt>vertex_index</dt>
<dd>The number of vertices.</dd>
<dt>num_levelsets</dt>
<dd>The total number of level sets.</dd>
<dt>num_intervals</dt>
<dd>A vector representing the number of intervals for each filter.</dd>
<dt>vertices_in_level_set</dt>
<dd>A list where each element contains the vertices corresponding to each level set.</dd>
<dt>points_in_vertex</dt>
<dd>A list where each element contains the points corresponding to each vertex.</dd></dl>

Arguments

Construct adjacency matrix of the simplicial complex — simplcial_complex

<dl>

<dt>filter_values</dt>
<dd>A matrix of filter values.</dd>


<dt>vertex_index</dt>
<dd>The number of vertices.</dd>


<dt>num_levelsets</dt>
<dd>The total number of level sets.</dd>


<dt>num_intervals</dt>
<dd>A vector representing the number of intervals for each filter.</dd>


<dt>vertices_in_level_set</dt>
<dd>A list where each element contains the vertices corresponding to each level set.</dd>


<dt>points_in_vertex</dt>
<dd>A list where each element contains the points corresponding to each vertex.</dd>

</dl>

simplcial_complex: Construct adjacency matrix of the simplicial complex

Description

Usage

Value

Arguments