create_width_balanced_cover: Generate an overlapping cover of an interval

In mappeR: Construct and Visualize TDA Mapper Graphs

Generate an overlapping cover of an interval

Description

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

Usage

create_width_balanced_cover(min_val, max_val, num_bins, percent_overlap)

Arguments

min_val	The left endpoint a. A real number.
max_val	The right endpoint b. A real number.
num_bins	The number of cover intervals with which to cover the interval. A positive integer.
percent_overlap	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.

Value

A 2D numeric array.

• left_ends - The left endpoints of the cover intervals.

• right_ends - The right endpoints of the cover intervals.

Examples

create_width_balanced_cover(min_val=0, max_val=100, num_bins=10, percent_overlap=15)
create_width_balanced_cover(-11.5, 10.33, 100, 2)

mappeR documentation built on April 3, 2025, 6:19 p.m.