Braxton Osting

activity

20222026

collaborators

3 papers

math.SP2026

Local Optimality of the d-cube for Laplacian Eigenvalues

Braxton Osting, Robert Viator

For each $d \geq 2$ we prove that the unit $d$ -cube $□_{d} \subset R^{d}$ is, on the class $P$ of convex polytopes combinatorially equivalent to a $d$ -cube, (i)…

math.OC2025

Extremal Steklov-Neumann Eigenvalues

Chiu-Yen Kao, Braxton Osting, Chee Han Tan +1

Let $Ω$ be a bounded open planar domain with smooth connected boundary, $Γ$ , that has been partitioned into two disjoint components, $Γ = Γ_{S} ⊔ Γ_{N}$ . We consider the Steklov-Ne…

stat.ML2022

Wasserstein Archetypal Analysis

Katy Craig, Braxton Osting, Dong Wang +1

Archetypal analysis is an unsupervised machine learning method that summarizes data using a convex polytope. In its original formulation, for fixed k, the method finds a convex pol…