create_width_balanced_cover

This is a function that generates a cover of an interval \([a,b]\) with
some number of (possibly) overlapping, evenly spaced, identical width subintervals.

Topological data analysis (TDA) is a method of data analysis that
uses techniques from topology to analyze high-dimensional data. Here we
implement Mapper, an algorithm from this area developed by Singh, Mémoli and
Carlsson (2007) which generalizes the concept of a
Reeb graph <https://en.wikipedia.org/wiki/Reeb_graph>.

George Clare Kennedy

mappeR

Construct and Visualize TDA Mapper Graphs

create_width_balanced_cover function

<dl><dt>min_val</dt>
<dd>The left endpoint \(a\). A real number.</dd>
<dt>max_val</dt>
<dd>The right endpoint \(b\). A real number.</dd>
<dt>num_bins</dt>
<dd>The number of cover intervals with which to cover the interval. A positive integer.</dd>
<dt>percent_overlap</dt>
<dd>How much overlap desired between the cover intervals
(the percent of the intersection of each interval with its immediate
neighbor relative to its length, e.g., \([0,2]\) and \([1,3]\) would have \(50\%\) overlap).
A real number between 0 and 100, inclusive.</dd></dl>

Arguments

Generate an overlapping cover of an interval — create_width_balanced_cover

<dl>

<dt>min_val</dt>
<dd>The left endpoint \(a\). A real number.</dd>


<dt>max_val</dt>
<dd>The right endpoint \(b\). A real number.</dd>


<dt>num_bins</dt>
<dd>The number of cover intervals with which to cover the interval. A positive integer.</dd>


<dt>percent_overlap</dt>
<dd>How much overlap desired between the cover intervals
(the percent of the intersection of each interval with its immediate
neighbor relative to its length, e.g., \([0,2]\) and \([1,3]\) would have \(50\%\) overlap).
A real number between 0 and 100, inclusive.</dd>

</dl>

create_width_balanced_cover: Generate an overlapping cover of an interval

Description

Usage

Value

Arguments

Examples