2 citations · 3 across the 2 of their papers we have counts for
4 papers · 1 filter
Lattice Diversities
David Bryant, Raúl Felipe, Mauricio Toledo-Acosta +1
Diversities are a generalization of metric spaces, where instead of the non-negative function being defined on pairs of points, it is defined on arbitrary finite sets of points. Di…
Inner products for Convex Bodies
David Bryant, Petru Cioica-Licht, Lisa Orloff Clark +1
We define a set inner product to be a function on pairs of convex bodies which is symmetric, Minkowski linear in each dimension, positive definite, and satisfies the natural analog…
Negative type diversities, a multi-dimensional analogue of negative type metrics
Pei Wu, David Bryant, Paul F. Tupper
Diversities are a generalization of metric spaces in which a non-negative value is assigned to all finite subsets of a set, rather than just to pairs of points. Here we provide an…
Open Problem Statement: Minimal Distortion Embeddings of Diversities in
David Bryant, Paul Tupper
We state an open problem in the theory of diversities: what is the worst case minimal distortion embedding of a diversity on points in . This problem is the diversity a…