85 citations · 285 across the 40 of their papers we have counts for
5 papers · 1 filter
A non-autonomous equation discovery method for time signal classification
Ryeongkyung Yoon, Harish S. Bhat, Braxton Osting
Certain neural network architectures, in the infinite-layer limit, lead to systems of nonlinear differential equations. Motivated by this idea, we develop a framework for analyzing…
Consistency of archetypal analysis
Braxton Osting, Dong Wang, Yiming Xu +1
Archetypal analysis is an unsupervised learning method that uses a convex polytope to summarize multivariate data. For fixed , the method finds a convex polytope with vertic…
Computation of free boundary minimal surfaces via extremal Steklov eigenvalue problems
Chiu-Yen Kao, Braxton Osting, Èdouard Oudet
Recently Fraser and Schoen showed that the solution of a certain extremal Steklov eigenvalue problem on a compact surface with boundary can be used to generate a free boundary mini…
A metric on directed graphs and Markov chains based on hitting probabilities
Zachary M. Boyd, Nicolas Fraiman, Jeremy L. Marzuola +3
The shortest-path, commute time, and diffusion distances on undirected graphs have been widely employed in applications such as dimensionality reduction, link prediction, and trip…
A continuum limit for the PageRank algorithm
Amber Yuan, Jeff Calder, Braxton Osting
Semi-supervised and unsupervised machine learning methods often rely on graphs to model data, prompting research on how theoretical properties of operators on graphs are leveraged…