1 citations · 2 across the 3 of their papers we have counts for
4 papers
Tensor Computation of Euler Characteristic Functions and Transforms
Jessi Cisewski-Kehe, Brittany Terese Fasy, Alexander McCleary +1
The weighted Euler characteristic transform (WECT) and Euler characteristic function (ECF) have proven to be useful tools in a variety of applications. However, current methods for…
The Manifold Density Function: An Intrinsic Method for the Validation of Manifold Learning
Benjamin Holmgren, Eli Quist, Jordan Schupbach +2
We introduce the manifold density function, which is an intrinsic method to validate manifold learning techniques. Our approach adapts and extends Ripley's -function, and catego…
The Weighted Euler Characteristic Transform for Image Shape Classification
Jessi Cisewski-Kehe, Brittany Terese Fasy, Dhanush Giriyan +1
The weighted Euler characteristic transform (WECT) is a new tool for extracting shape information from data equipped with a weight function. Image data may benefit from the WECT wh…
Catching Polygons
Bradley McCoy, Eli Quist, Anna Schenfisch
Consider an arrangement of lines intersecting the unit square. There is some minimum scaling factor so that any placement of a rectangle with aspect ratio with $p\…