6 citations · 14 across the 16 of their papers we have counts for
21 papers
An accelerated rearrangement method for two-phase composite optimization
Chiu-Yen Kao, Seyyed Abbas Mohammadi, Braxton Osting
We propose and analyze an Accelerated Rearrangement Method (ARM) for solving a class of nonconvex optimization problems involving two-phase composites. These problems include maxim…
Cuffless, calibration-free hemodynamic monitoring with physics-informed machine learning models
Henry Crandall, Tyler Schuessler, Filip Bělík +13
Wearable technologies have the potential to transform ambulatory and at-home hemodynamic monitoring by providing continuous assessments of cardiovascular health metrics and guiding…
Layer Potential Methods for Doubly-Periodic Harmonic Functions
Bohyun Kim, Braxton Osting
We develop and analyze layer potential methods to represent harmonic functions on finitely-connected tori (i.e., doubly-periodic harmonic functions). The layer potentials are expre…
A dynamical systems based framework for dimension reduction
Ryeongkyung Yoon, Braxton Osting
We propose a novel framework for learning a low-dimensional representation of data based on nonlinear dynamical systems, which we call dynamical dimension reduction (DDR). In the D…
Flat tori with large Laplacian eigenvalues in dimensions up to eight
Chiu-Yen Kao, Braxton Osting, Jackson C. Turner
We consider the optimization problem of maximizing the -th Laplacian eigenvalue, , over flat -dimensional tori of fixed volume. For , this problem is equivalent t…
Steklov Eigenvalues of Nearly Spherical Domains
Robert Viator, Braxton Osting
We consider Steklov eigenvalues of three-dimensional, nearly-spherical domains. In previous work, we have shown that the Steklov eigenvalues are analytic functions of the domain pe…