6 citations · 11 across the 10 of their papers we have counts for
3 papers · 1 filter
Approximating the Simplicial Depth
Peyman Afshani, Donald R. Sheehy, Yannik Stein
Let be a set of points in -dimensions. The simplicial depth, of a point is the number of -simplices with vertices in that contain in their convex…
A Geometric Perspective on Sparse Filtrations
Nicholas J. Cavanna, Mahmoodreza Jahanseir, Donald R. Sheehy
We present a geometric perspective on sparse filtrations used in topological data analysis. This new perspective leads to much simpler proofs, while also being more general, applyi…
Approximating Nearest Neighbor Distances
Michael B. Cohen, Brittany Terese Fasy, Gary L. Miller +3
Several researchers proposed using non-Euclidean metrics on point sets in Euclidean space for clustering noisy data. Almost always, a distance function is desired that recognizes t…